Question

At a university, the arithmetic mean of the final grades of a group of 5 students in a discipline was 72. Three of these students obtained the following grades: 65, 70 and 80. The two other students got the same grade. Determine the grade of the remaining two students:

243

likes

1214 views

Answer to a math question At a university, the arithmetic mean of the final grades of a group of 5 students in a discipline was 72. Three of these students obtained the following grades: 65, 70 and 80. The two other students got the same grade. Determine the grade of the remaining two students:

$Expert avatar$

Esmeralda

4.7

102 Answers

1. The arithmetic mean equation is:

\frac{65 + 70 + 80 + 2x}{5} = 72

2. Calculate the sum of the first three grades:

65 + 70 + 80 = 215

3. Substitute into the mean equation:

\frac{215 + 2x}{5} = 72

4. Multiply both sides by 5 to eliminate the denominator:

215 + 2x = 360

5. Solve for $ x $:

2x = 360 - 215

2x = 145

6. Divide both sides by 2 to find $ x $:

x = 72.5

The grade of the remaining two students is 72.5 each.

Frequently asked questions (FAQs)

Question: Consider the inequality system: y ≤ 2x + 3 and x ≥ -1. Graph these inequalities on the same coordinate plane.

Math Question: Find the equation of a circle with center (3, -2) and radius 5. (

What is the quadratic formula and its application in solving quadratic equations?

New questions in Mathematics

5 . {2/5 + [ (8/-9) - (1/-7) + (-2/5) ] ÷ (2/-5)} . 8/15

Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.

two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?

The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____

Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.

Determine the momentum of a 20 kg body traveling at 20 m/s.

Desarrolla (2x)(3y + 2x)5

78 percent to a decimal

According to a survey in a country 27% of adults do not own a credit card suppose a simple random sample of 800 adults is obtained . Describe the sampling distribution of P hat , the sample proportion of adults who do not own a credit card

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

With the aim of identifying the presence of the feline leukemia virus (FeLV), blood samples were collected from cats sent to a private veterinary clinic in the city of Belo Horizonte. Among the animals treated, it was possible to observe that age followed a Normal distribution with a mean of 4.44 years and a standard deviation of 1.09 years. Considering this information, determine the value of the third quartile of the ages of the animals treated at this veterinary clinic. ATTENTION: Provide the answer to exactly FOUR decimal places

3/9*4/8=

Show this compound proposition to be true or false. Paris is the capital of England or Rome is the capital of Italy

A Smooth Plane is listed for $195.00. Discounts of 12% and 10% are allowed. If the customer pays cash within 30 days, an additional discount of 3% is granted. What is the cost if a carpenter takes advantage of all the discounts offered?

You want to study incomes in a large city. You take a simple random sample of 5012 households and find that the distribution of household incomes is skewed right. If you calculate the mean of the 5012 household incomes will the distribution of mean scores be skewed right as well? Hint: this involves the Central Limit Theorem.

Twenty‐five students in a class take a test for which the average grade is 75. Then a twenty‐sixth student enters the class, takes the same test, and scores 70. The test average grade calculated with 26 students will

A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested

8/9 divided by 10/6

the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers

Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.

At a university, the arithmetic mean of the final grades of a group of 5 students in a discipline was 72. Three of these students obtained the following grades: 65, 70 and 80. The two other students got the same grade. Determine the grade of the remaining two students:

Answer to a math question At a university, the arithmetic mean of the final grades of a group of 5 students in a discipline was 72. Three of these students obtained the following grades: 65, 70 and 80. The two other students got the same grade. Determine the grade of the remaining two students:

You might be interested in