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A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

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Answer to a math question A hardware bill totals $857.63 with discounts of 5% and 3%. What is the net cost of the Material ?

Expert avatar
Frederik
4.6
96 Answers
To find the net cost of the material after applying discounts, we need to subtract the discounts from the total bill amount.

Step 1: Calculate the first discount of 5%
Discount 1 = 5/100 * 857.63Discount1=42.88

Step 2: Subtract the first discount from the total bill amount
Net cost after first discount = 857.63−42.88
Net cost after first discount = 814.75Step3:Calculatetheseconddiscountof3814.75
Discount 2 = 24.44Step4:SubtracttheseconddiscountfromthenetcostafterthefirstdiscountNetcostafterbothdiscounts=814.75 - 24.44Answer:Thenetcostofthematerialafterapplyinga5790.31.

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Simplify and solve for s^2:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5280 = 8 s^2\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>s^2 = \\frac{5280}{8} = 660\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>6. Solve for s:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>s = \\sqrt{660} \\approx 25.7\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>7. 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La tangente de un ángulo en un triángulo rectángulo es la razón entre la altura y la distancia horizontal:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>\\tantheta = \\frac{h}{d}\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Sustituimos los valores conocidos en la ecuación:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>\\tan40circ = \\frac{h}{150}\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Resolvemos para \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>h\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>h = 150 \\times \\tan40circ\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Calculamos el valor numérico:\u003Cbr />\n* Usando una calculadora, \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>\\tan40circ \\approx 0.8391\u003C/math-field>\u003C/math-field>\u003Cbr />\n* Entonces: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>h \\approx 150 \\times 0.8391 = 125.865 \\ m\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nLa altura del globo aerostático es aproximadamente \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>125.865 \\ m\u003C/math-field>\u003C/math-field>.",667,133,"an-observer-is-150-meters-away-distance-of-a-hot-air-balloon-online-straight-line-at-ground-level-from-your-position-measures-an-elevation-angle-of-40-up-to-the-base-of-the-balloon-at-what-hei",{"id":86,"category":36,"text_question":87,"photo_question":38,"text_answer":88,"step_text_answer":8,"step_photo_answer":8,"views":89,"likes":90,"slug":91},538080,"A plane ticket has gone up 18%, now costing 4,720.Howmuchdiditcostbeforetheincrease?","\u003Cmath−fieldread−onlydefault−mode=\"inline−math\"class=\"math−expression\">\u003Cmath−fieldread−only>textSolution:\u003C/math−field>\u003C/math−field>\u003Cbr/>\n1.Definevariables:\u003Cbr/>\n−Let\u003Cmath−fieldread−onlydefault−mode=\"inline−math\"class=\"math−expression\">\u003Cmath−fieldread−only>P\u003C/math−field>\u003C/math−field>betheoriginalpriceoftheplaneticket.\u003Cbr/>\n−\u003Cmath−fieldread−onlydefault−mode=\"inline−math\"class=\"math−expression\">\u003Cmath−fieldread−only>P\u003C/math−field>\u003C/math−field>increasedby18\\frac{x}{15}=\\frac{4}{3}\u003C/math−field>\n\u003Cbr>\n\u003C/div>\n\n\u003Cdiv>\n\n\u003Cmath−fieldstyle=\"font−size:16px;padding:8px;border−radius:8px;border:1pxsolidrgba(0,0,0,.3);box−shadow:000rgba(0,0,0,.2)\n\"read−only>x=20\u003C/math-field>\n    \u003Cbr>\n  \u003C/div>",467,93,"15-75-of",{"id":149,"category":36,"text_question":150,"photo_question":38,"text_answer":151,"step_text_answer":8,"step_photo_answer":8,"views":152,"likes":90,"slug":153},538067,"Naria Wants to build a perimeter wall fence around 400 sqm lot. The frontage of the lot is 20 meters. The wall height is 1.2 meters below the ground and 3.8 meters above the ground .\nThe cost of constructing the wall is 750 per square meter. Additionally,she plans to install a 5-meter-wide gate that costs ₱50,000.\nHow much Maria spend in total for the wall and the gate\na. Php 281,250.00\nb. Php 106,250.00\nc. Php 331,250.00\nd. Php 218,250.00","1. Determine the dimensions of the lot. Given the frontage is 20 meters, calculate the other side using the area:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Area} = 20 \\times x = 400 \u003C/math-field>\u003C/math-field>\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> x = \\frac{400}{20} = 20 \\, \\text{meters} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Calculate the perimeter of the lot:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Perimeter} = 2 \\times (20 + 20) = 80 \\, \\text{meters} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Calculate the total height of the wall:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Total height} = 1.2 + 3.8 = 5 \\, \\text{meters} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Calculate the wall area excluding the gate:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Wall area} = (\\text{Perimeter} - \\text{Gate width}) \\times \\text{Total height} \u003C/math-field>\u003C/math-field>\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Wall area} = (80 - 5) \\times 5 = 75 \\times 5 = 375 \\, \\text{sqm} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Calculate the cost of the wall:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Wall cost} = 375 \\times 750 = 281,250 \\, \\text{PHP} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Calculate total cost including the gate:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Total cost} = \\text{Wall cost} + \\text{Gate cost} \u003C/math-field>\u003C/math-field>\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Total cost} = 281,250 + 50,000 = 331,250 \\, \\text{PHP} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n7. Therefore, the total cost is: \u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Php} \\, 331,250.00 \u003C/math-field>\u003C/math-field>",727,"naria-wants-to-build-a-perimeter-wall-fence-around-400-sqm-lot-the-frontage-of-the-lot-is-20-meters-the-wall-height-is-1-2-meters-below-the-ground-and-3-8-meters-above-the-ground-the-cost-of-const",{"id":155,"category":36,"text_question":156,"photo_question":38,"text_answer":157,"step_text_answer":8,"step_photo_answer":8,"views":158,"likes":76,"slug":159},538066,"2. A rectangular lot has a\n30 meters.\nallocated along the frontage. What is the gross area\nfrontage of 18 meters and a depth of\nHowever, a public right of way of 3 meters is\nReve\nof\nthe\nlot?\na. 520 sqm\nb. 540 sqm\nC. 560 sqm\nd. 580 sqm\nReV","1. Calculate the area of the rectangular lot without the right of way:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\text{Area}_{\\text{total}} = \\text{frontage} \\times \\text{depth} = 18 \\, \\text{m} \\times 30 \\, \\text{m} = 540 \\, \\text{sqm} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. No need to subtract any area because the problem states that the right of way has already been accounted for in the dimensions provided.\u003Cbr />\n\u003Cbr />\n3. Therefore, the gross area of the lot remains:\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 540 \\, \\text{sqm} \u003C/math-field>\u003C/math-field> \u003Cbr />\n   \u003Cbr />\nThus, the answer is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>540 \\, \\text{sqm}\u003C/math-field>\u003C/math-field>.",420,"2-a-rectangular-lot-has-a-30-meters-allocated-along-the-frontage-what-is-the-gross-area-frontage-of-18-meters-and-a-depth-of-however-a-public-right-of-way-of-3-meters-is-reve-of-the-lot-a-520-sq",{"id":161,"category":36,"text_question":162,"photo_question":38,"text_answer":163,"step_text_answer":8,"step_photo_answer":8,"views":164,"likes":165,"slug":166},538065,"A triangular lot has a base of 15 meters and heights of 10 meters . What is the total area of the lot ?","1. The formula for the area of a triangle is given by:\u003Cbr />\n\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> A = \\frac{1}{2} \\times \\text{base} \\times \\text{height} \u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n2. Substitute the given values into the formula:\u003Cbr />\n\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> A = \\frac{1}{2} \\times 15 \\times 10 \u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n3. Calculate the area:\u003Cbr />\n\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> A = \\frac{1}{2} \\times 150 \u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n4. Simplify the expression:\u003Cbr />\n\u003Cbr />\n   \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> A = 75 \u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\nTherefore, the total area of the lot is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>75 \\, \\text{square meters}\u003C/math-field>\u003C/math-field>.",425,85,"a-triangular-lot-has-a-base-of-15-meters-and-heights-of-10-meters-what-is-the-total-area-of-the-lot",{"id":168,"category":36,"text_question":169,"photo_question":38,"text_answer":170,"step_text_answer":8,"step_photo_answer":8,"views":171,"likes":172,"slug":173},538064,"4x+(x-3)=2x-(3x-4)+5","Solution:\u003Cbr />\n1. Simplify both sides of the equation.\u003Cbr />\n- Left side: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x + (x - 3) = 4x + x - 3 = 5x - 3\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Right side: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>2x - (3x - 4) + 5 = 2x - 3x + 4 + 5 = -x + 9\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. The equation is now: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5x - 3 = -x + 9\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Add \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field> to both sides to eliminate the \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>-x\u003C/math-field>\u003C/math-field> from the right side and simplify:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5x + x - 3 = 9\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Simplify: \u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>6x - 3 = 9\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Add 3 to both sides to isolate terms with \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>6x = 9 + 3\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Simplify:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>6x = 12\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n7. Divide both sides by 6 to solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = \\frac{12}{6}\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n8. Simplify the fraction:\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = 2\u003C/math-field>\u003C/math-field>",1332,266,"4x-x-3-2x-3x-4-5",{"first":6,"last":175,"prev":8,"next":10},187,{"current_page":6,"from":6,"last_page":175,"links":177,"path":211,"per_page":212,"to":212,"total":213},[178,181,184,186,188,190,192,195,198,201,204,207,209],{"url":6,"label":179,"active":180},"1",true,{"url":10,"label":182,"active":183},"2",false,{"url":13,"label":185,"active":183},"3",{"url":16,"label":187,"active":183},"4",{"url":19,"label":189,"active":183},"5",{"url":22,"label":191,"active":183},"6",{"url":193,"label":194,"active":183},7,"7",{"url":196,"label":197,"active":183},8,"8",{"url":199,"label":200,"active":183},9,"9",{"url":202,"label":203,"active":183},10,"10",{"url":205,"label":206,"active":183},186,"186",{"url":175,"label":208,"active":183},"187",{"url":10,"label":210,"active":183},"Next »","https://api.math-master.org/api/question",20,3737,{"data":215},{"id":216,"category":36,"slug":217,"text_question":218,"photo_question":8,"text_answer":219,"step_text_answer":8,"step_photo_answer":8,"views":220,"likes":221,"expert":222},534387,"a-hardware-bill-totals-857-63-with-discounts-of-5-and-3-what-is-the-net-cost-of-the-material","A hardware bill totals857.63 with discounts of 5% and 3%. What is the net cost of the Material ?","To find the net cost of the material after applying discounts, we need to subtract the discounts from the total bill amount.\u003Cbr />\u003Cbr />Step 1: Calculate the first discount of 5%\u003Cbr />Discount 1 = 5/100 * 857.63\u003Cbr/>Discount1=42.88\u003Cbr />\u003Cbr />Step 2: Subtract the first discount from the total bill amount\u003Cbr />Net cost after first discount = 857.63−42.88\u003Cbr />Net cost after first discount = 814.75\u003Cbr/>\u003Cbr/>Step3:Calculatetheseconddiscountof3814.75\u003Cbr />Discount 2 = 24.44\u003Cbr/>\u003Cbr/>Step4:Subtracttheseconddiscountfromthenetcostafterthefirstdiscount\u003Cbr/>Netcostafterbothdiscounts=814.75 - 24.44\u003Cbr/>\u003Cbr/>Answer:Thenetcostofthematerialafterapplyinga5790.31.",692,138,{"id":223,"name":224,"photo":225,"biography":226,"created_at":8,"updated_at":8,"rating":227,"total_answer":228},31,"Frederik","https://api.math-master.org/img/experts/31/31.webp","Hi, my name is Nitin,\r\nI started taking an interest in maths, because of my grandfather, who was a maths professor at HNBGU University, initially, I was not that good at maths, but with practice, I improved a lot, and I became pretty good at it when I got excellent marks in class 10th maths, I chose maths as my primary subject I completed my college and graduation, currently I am pursuing my master, I loved teaching maths, I also teach maths in a local school, and I want to become a professor in maths just like my grandfather.",4.6,96,{"data":230},{"questions":231},[232,236,240,244,248,252,256,260,264,268,272,276,280,284,288,292,296,300,304,308],{"id":233,"category":36,"text_question":234,"slug":235},532018,"Let 𝑢 = 𝑓𝑥,𝑦 = 𝑒𝑥𝑠𝑒𝑛3𝑦. Check if 9(𝜕2 u / 𝜕𝑥2) +(𝜕2 𝑢 / 𝜕𝑦2) = 0","let-u-f-x-y-e-x-sen-3y-check-if-9-2-u-x-2-2-u-y-2-0",{"id":237,"category":36,"text_question":238,"slug":239},532050,"The time it takes for a person to travel 300 m is 15 minutes. What is their speed in meters per second?","the-time-it-takes-for-a-person-to-travel-300-m-is-15-minutes-what-is-their-speed-in-meters-per-second",{"id":241,"category":36,"text_question":242,"slug":243},532069,"10.Silvana must knit a blanket in 9 days. Knitting 8 hours a day, at the end of the fifth day, only 2/5 of the blanket was done. To be able to finish on time, how many hours will Silvana have to knit per day?","10-silvana-must-knit-a-blanket-in-9-days-knitting-8-hours-a-day-at-the-end-of-the-fifth-day-only-2-5-of-the-blanket-was-done-to-be-able-to-finish-on-time-how-many-hours-will-silvana-have-to-knit",{"id":245,"category":36,"text_question":246,"slug":247},532303,"How many percent is one second out a 24 hour?","how-many-percent-is-one-second-out-a-24-hour",{"id":249,"category":36,"text_question":250,"slug":251},532306,"what is 3% of 105?","what-is-3-of-105",{"id":253,"category":36,"text_question":254,"slug":255},533956,"1 plus 1","1-plus-1",{"id":257,"category":36,"text_question":258,"slug":259},534017,"2x+5^3+x−3x+3","2x-5-3-x-3-x-3",{"id":261,"category":36,"text_question":262,"slug":263},534076,"4. Show that if n is any integer, then n^2 3n 5 is an odd integer","4-show-that-if-n-is-any-integer-then-n-2-3n-5-is-an-odd-integer",{"id":265,"category":36,"text_question":266,"slug":267},534147,"2x+4x=","2x-4x",{"id":269,"category":36,"text_question":270,"slug":271},534174,"find fx for f'x=3x+7","find-f-x-for-f-x-3x-7",{"id":273,"category":36,"text_question":274,"slug":275},534178,"Two business partners have a bank balance of 17,942.00.Afterthefirstyeartheirinterestbringstheirbalanceto18,928.91. What rate of interest is earned?","two-business-partners-have-a-bank-balance-of-17-942-00-after-the-first-year-their-interest-brings-their-balance-to-18-928-91-what-rate-of-interest-is-earned",{"id":277,"category":36,"text_question":278,"slug":279},534300,"4+168×10³×d1+36×10³×d2=-12\n-10+36×10³×d1+72×10³×d2=0","4-168-10-d1-36-10-d2-12-10-36-10-d1-72-10-d2-0",{"id":281,"category":36,"text_question":282,"slug":283},534351,"Fill in the PX−x values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.","fill-in-the-p-x-x-values-to-give-a-legitimate-probability-distribution-for-the-discrete-random-variable-x-whose-possible-values-are-5-3-4-5-and-6",{"id":285,"category":36,"text_question":286,"slug":287},534452,"Write an expression using compatible numbers that can be used to estimate the quotient 629\\86","write-an-expression-using-compatible-numbers-that-can-be-used-to-estimate-the-quotient-629-86",{"id":289,"category":36,"text_question":290,"slug":291},534468,"Find sup { x∈R, x²+3\u003C4x }. Justify the answer","find-sup-x-r-x-3-4x-justify-the-answer",{"id":293,"category":36,"text_question":294,"slug":295},534485,"X^X =49 X=?","x-x-49-x",{"id":297,"category":36,"text_question":298,"slug":299},534502,"a) 6x − 5 > x + 20","a-6x-5-x-20",{"id":301,"category":36,"text_question":302,"slug":303},534562,"Solve the following \n9x - 9 - 6x = 5 + 8x - 9","solve-the-following-9x-9-6x-5-8x-9",{"id":305,"category":36,"text_question":306,"slug":307},534591,"Sodium\r\n38.15\r\n38.78\r\n38.5\r\n38.65\r\n38.79\r\n38.89\r\n38.57\r\n38.59\r\n38.59\r\n38.8\r\n38.63\r\n38.43\r\n38.56\r\n38.46\r\n38.79\r\n38.42\r\n38.74\r\n39.12\r\n38.5\r\n38.42\r\n38.57\r\n38.37\r\n38.71\r\n38.71\r\n38.4\r\n38.56\r\n38.39\r\n38.34\r\n39.04\r\n38.8\r\nA supplier of bottled mineral water claims that his supply of water has an average sodium content of 36.6 mg/L.\r\nThe boxplot below is of the sodium contents levels taken from a random sample of 30 bottles.\r\nWith this data investigate the claim using SPSS to apply the appropriate test.\r\n\r\nDownload the data and transfer it into SPSS.\r\nCheck that your data transfer has been successful by obtaining the Std. Error of the mean for your data which should appear in SPSS output as 0.03900..\r\nIf you do not have this exact value, then you may have not transferred your data from the Excel file to SPSS correctly. Do not continue with the test until your value agrees as otherwise you may not have correct answers.\r\nUnless otherwise directed you should report all numeric values to the accuracy displayed in the SPSS output that is supplied when your data has been transferred correctly.\r\n\r\nIn the following questions, all statistical tests should be carried out at the 0.05 significance level.\r\n\r\nSample mean and median\r\n\r\nComplete the following concerning the mean and median of the data.\r\nmean =  mg/L\r\n\r\n95% CI:  to  mg/L\r\n\r\nBased upon the 95% confidence interval, is it plausible that the average sodium content is 36.9 mg/L?\r\n    \r\n\r\nmedian:  mg/L\r\n\r\nThe median value is      36.9 mg/L.\r\n\r\n\t\r\nSkewness\r\n\r\nComplete the following concerning the skewness of the data.\r\n\r\nSkewness statistic =        Std. Error = \r\n\r\nThe absolute value of the skewness statistic     less than 2 x Std. Error\r\n\r\nTherefore the data can be considered to come from a population that is      .\r\n\r\n\r\n\r\n\r\nNormality test\r\n\r\nComplete the following summary concerning the formal testing of the normality of the data.\r\nH0: The data come from a population that     normal\r\n\r\nH1: The data come from a population that     normal\r\n\r\nApplication of the Shapiro-Wilk test indicated that the normality assumption     reasonable for sodium content S−W(=  , p=   ).\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\nMain test\r\n\r\nUsing the guidelines you have been taught that consider sample size, skewness and normality, choose and report the appropriate main test from the following AppropriateONE \r\n\r\n\r\nYou have selected that you wish to report the one-sample t-test.\r\nH0: The mean sodium content     equal to 36.9 mg/L\r\n\r\nH1: The mean sodium content     equal to 36.9 mg/L\r\n\r\nApplication of the one-sample t-test indicated that the mean is      36.9 mg/L\r\n\r\nt( =  , p =   ).\r\n\r\n\r\n\r\n\r\nYou have selected that you wish to report the Wilcoxon signed rank test.\r\n\r\nH0: The median sodium content     equal to 36.9 mg/L\r\n\r\nH1: The median sodium content     equal to 36.9 mg/L\r\n\r\nApplication of the Wilcoxon signed rank test indicated that the median is      36.9 mg/L \r\n\r\nz=,N=,p=.","sodium-38-15-38-78-38-5-38-65-38-79-38-89-38-57-38-59-38-59-38-8-38-63-38-43-38-56-38-46-38-79-38-42-38-74-39-12-38-5-38-42-38-57-38-37-38-71-38-71-38-4-38-56-38-39-38-34",{"id":309,"category":36,"text_question":310,"slug":311},534613,"How many digits are there in Hindu-Arabic form of numeral 26 × 1011","how-many-digits-are-there-in-hindu-arabic-form-of-numeral-26-1011",{"data":313},{"questions":314},[315,319,323,327,331,335,339,343,347,351,352,356,360,364,368,372,376,380,384,388],{"id":316,"category":36,"text_question":317,"slug":318},532013,"Using a remarkable product you must factor the expression: fx =36x^2-324 and you are entitled to 5 steps","using-a-remarkable-product-you-must-factor-the-expression-f-x-36x-2-324-and-you-are-entitled-to-5-steps",{"id":320,"category":36,"text_question":321,"slug":322},532065,"One contestant on a game show has 1,500 points and another contestant has -250 points. What is the difference between the scores of the contestants?","one-contestant-on-a-game-show-has-1-500-points-and-another-contestant-has-250-points-what-is-the-difference-between-the-scores-of-the-contestants",{"id":324,"category":36,"text_question":325,"slug":326},532090,"String x = 5\r\nInt y=2\r\nSystem.out.printlnx+y","string-x-5-int-y-2-system-out-println-x-y",{"id":328,"category":36,"text_question":329,"slug":330},534026,"\"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?\"\n\n The answer is the number of response units.","if-three-wolves-catch-three-rabbits-in-three-hours-how-many-wolves-would-it-take-to-catch-a-hundred-rabbits-in-a-hundred-hours-the-answer-is-the-number-of-response-units",{"id":332,"category":36,"text_question":333,"slug":334},534071,"There are 162 students enrolled in the basic mathematics course. If the number of women is 8 times the number of men, how many women are there in the basic mathematics course?","there-are-162-students-enrolled-in-the-basic-mathematics-course-if-the-number-of-women-is-8-times-the-number-of-men-how-many-women-are-there-in-the-basic-mathematics-course",{"id":336,"category":36,"text_question":337,"slug":338},534081,"Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.","mrs-emily-saved-rm10000-in-a-bank-at-the-end-of-the-eighth-year-the-amount-of-money-accumulated-amounted-to-rm19992-71-if-the-bank-pays-an-annual-interest-of-x-for-a-year-compounded-every-6-month",{"id":340,"category":36,"text_question":341,"slug":342},534114,"How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword?\nBy subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.","how-many-anagrams-of-the-word-stromec-there-that-do-not-contain-strom-most-moc-or-cest-as-a-subword-by-subword-is-meant-anything-that-is-created-by-omitting-some-letters-for-example-the-word-emr",{"id":344,"category":36,"text_question":345,"slug":346},534140,"The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of 4.59andastandarddeviationof0.10. Sixteen gas stations from the Bay Area are randomly chosen. We are interested in the average cost of gasoline for the 16 gas stations.\n\n84. Find the probability that the average price for 30 gas stations is less than 4.55.\n\ta\t0.6554\n\tb\t0.3446\n\tc\t0.0142\n\td\t0.9858\n\te\t0","the−cost−of−unleaded−gasoline−in−the−bay−area−once−followed−an−unknown−distribution−with−a−mean−of−4−59−and−a−standard−deviation−of−0−10−sixteen−gas−stations−from−the−bay−area−are−randomly−chosen","id":348,"category":36,"textquestion":349,"slug":350,534148,"203,275 from her investment account. If the\n investment account yields 4% convertible monthly, how much did you have in your investment account one month before making the first withdrawal?\n Sinceyoustartedmakingwithdrawalsyouhavenotmadeanydeposits.","professor-velez-has-withdrawn-40-monthly-payments-of-3-275-from-her-investment-account-if-the-investment-account-yields-4-convertible-monthly-how-much-did-you-have-in-your-investment-account-one",{"id":357,"category":36,"text_question":358,"slug":359},534328,"What is 75 percent less than 60","what-is-75-percent-less-than-60",{"id":361,"category":36,"text_question":362,"slug":363},534359,"Express the trigonometric form of the complex z = -1 + i.","express-the-trigonometric-form-of-the-complex-z-1-i",{"id":365,"category":36,"text_question":366,"slug":367},534423,"find missing measure for triangle \narea = 48 m square\nbase = 10m\nheaighy = ? m","find-missing-measure-for-triangle-area-48-m-square-base-10m-heaighy-m",{"id":369,"category":36,"text_question":370,"slug":371},534471,"Log0","log0",{"id":373,"category":36,"text_question":374,"slug":375},534475,"94 divided by 8.75","94-divided-by-8-75",{"id":377,"category":36,"text_question":378,"slug":379},534487,"Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution.\nDetermine the pH of final solution.","consider-mixing-150-ml-0-1m-hci-with-100-ml-0-2m-koh-solution-determine-the-ph-of-final-solution",{"id":381,"category":36,"text_question":382,"slug":383},534530,"To verify that a 1 kg gold bar is actually made of pure gold, a dynamometer is used to record the weight of the bar submerged in water and out of water.\n\n a) What would be the value of the weight of the ingot recorded by the dynamometer out of the water?\n\n b) What magnitude of thrust does the ingot receive when it is submerged?\n\n c) What would the weight of the ingot have to be when it is submerged?\n\n Data\n Pagua = 1000 kg/m³\n Pagua= 19300 kg/m³","to-verify-that-a-1-kg-gold-bar-is-actually-made-of-pure-gold-a-dynamometer-is-used-to-record-the-weight-of-the-bar-submerged-in-water-and-out-of-water-a-what-would-be-the-value-of-the-weight-of-t",{"id":385,"category":36,"text_question":386,"slug":387},534607,"Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?","kayla-started-a-book-club-at-her-school-the-number-of-girls-in-the-book-club-was-one-more-than-twice-the-number-of-boys-if-there-are-15-girls-in-the-book-club-how-many-boys-are-in-the-club",{"id":389,"category":36,"text_question":390,"slug":391},534668,"The supply of a good registers periodic increases. With each increase in the offer, the total receipts of the bidders increase. Indicate the correct statement: a) demand is elastic b) demand is inelastic c) supply is inelastic d) supply has unit elasticity.","the-supply-of-a-good-registers-periodic-increases-with-each-increase-in-the-offer-the-total-receipts-of-the-bidders-increase-indicate-the-correct-statement-a-demand-is-elastic-b-demand-is-inelas",{"data":393},[394,398,402],{"id":395,"question":396,"answer":397},130461,"What is the radius of a circle when the equation of the circle is given as x^2 + y^2 = 25?","The radius of the circle is 5 units long since r^2 = 25, and taking the square root of both sides gives r = 5.",{"id":399,"question":400,"answer":401},161298,"What is the slope of a line passing through the points 3,5 and −2,7?","The slope of the line is -0.4. The formula for slope m is y2−y1/x2−x1. So, −2−3/7−5 = -5/2 = -2.5. Therefore, the slope is -0.4 when rounded to one decimal place.",{"id":403,"question":404,"answer":405},100910,"What is the sum of 65 and 87?","The sum of 65 and 87 is 152. Adding the digits 5 and 7 yields 12, and placing the 2 in the units place of the sum gives us 152.",{"$sicons":407},{"bxl:facebook-circle":408,"bxl:instagram":412,"mdi:web":414,"la:apple":416,"ph:google-logo-bold":419,"ph:google-logo":422},{"left":409,"top":409,"width":410,"height":410,"rotate":409,"vFlip":183,"hFlip":183,"body":411},0,24,"\u003Cpath fill=\"currentColor\" d=\"M12.001 2.002c-5.522 0-9.999 4.477-9.999 9.999c0 4.99 3.656 9.126 8.437 9.879v-6.988h-2.54v-2.891h2.54V9.798c0-2.508 1.493-3.891 3.776-3.891c1.094 0 2.24.195 2.24.195v2.459h-1.264c-1.24 0-1.628.772-1.628 1.563v1.875h2.771l-.443 2.891h-2.328v6.988C18.344 21.129 22 16.992 22 12.001c0-5.522-4.477-9.999-9.999-9.999\"/>",{"left":409,"top":409,"width":410,"height":410,"rotate":409,"vFlip":183,"hFlip":183,"body":413},"\u003Cpath fill=\"currentColor\" d=\"M11.999 7.377a4.623 4.623 0 1 0 0 9.248a4.623 4.623 0 0 0 0-9.248m0 7.627a3.004 3.004 0 1 1 0-6.008a3.004 3.004 0 0 1 0 6.008\"/>\u003Ccircle cx=\"16.806\" cy=\"7.207\" 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