Q and A for the topic: General

Explain why all 7-digit pointy numbers that are divisible by 3 must have their first digit divisible by 3.

a tractor's fuel consumption depends, among other things, on the tractor's speed. under certain conditions, a tractor's fuel consumption can be described by f(x) = 0.0010x^2 - 0.040x + 0.92 x > 0 where f(x) is fuel consumption in liters/km and x is the tractor's speed in km/h. Determine at which speed the fuel consumption is lowest according to the model.

a) determine the pH present in the solution that comes out of the leaching process and indicate if it is within the permissible range. data: kb hcn = 1.61 x 10 -5

How many years will the following take? $829 to grow to $25,648 if invested at 7.89 percent, compounded annually. Round the answer to two decimal places.

For a particular variety of wheat, it has been estimated that 5 percent of plants suffered an illness. A sample of 600 plants of the same variety of wheat was observed and found that 50 plants were infected with disease. Test if the sample the results were consistent with the population.

on a mobile phone, the battery charge level is usually displayed as a percentage between 0 and 100%. Erik's mobile is charged 19 percentage points per hour and Alva's mobile is charged at 51 percentage points per hour. both Erik's mobile and Alva's mobile are discharged by 7 percentage points per hour when they are not being charged. When Erik's mobile shows 49% and Alva's 15%, Erik starts charging his mobile. Alva starts charging 45 minutes later. Determine how long after Erik starts charging his mobile that both mobiles show the same percentage.

There are two multiple choice questions on a quiz, one with four answer choices and one with six answer choices. Suppose the probability of a student answering the questions correctly is 3/12. Are the events independent? Use the probability of crazy event to support the answer.

X+4=10

On January 1, 1990, 50 frogs are released at a lake that previously had no frogs. 12 years later, it is estimated that there are 12,000 frogs around the lake. Assume that the annual percentage increase in the frog population has been the same over this time period. Determine in which year there are one million frogs at the lake if the population continues to increase exponentially at the same rate.

In a rectangle, one side is 7 cm longer than the other and the diagonal is 13 cm. Calculate the area of ​​the rectangle

A straight line has slope K= 3/2  and passes through the point (6,3) Does the line also pass through the point (-130, -200)?

You measure 48 randomly selected textbooks' weights, and find they have a mean weight of 69 ounces. Assume the population standard devlation is 5.3 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook welght. Give your answers as decimals, to two places <p<

When solving a problem, two students fell back on a 2nd degree equation, however, when solving it, they both made a mistake. The 1st student only got the independent term of the equation wrong, finding the roots -10 and -2. The 2nd student only got the coefficient of the 1st degree term wrong, finding roots 4 and 8. Were the correct roots of the equation?

A cheese maker has mixed a certain amount of cow's milk at €0.50 per liter with another amount of milk of sheep at €0.80 per liter, obtaining 300 liters of mixture at a price of €0.70 per liter. How many liters of each kind of milk did you use? Mixture Problem

In a survey of 2465 adults in a recent year 1482 say they have made a New Year’s resolution. construct 90% and 95% confidence intervals for the population proportion interpret the results and compare the width of the confidence intervals. the 90% confidence interval for the population proportion P equals equals? The 95% equals?

Suppose that the proportion of people who are randomly searched at an airport is p=0.15 The security and customs administrator at this airport suspects that they have been screening people less lately and wants to know if in fact p = 0.15 so he decides observe 30 randomly selected people at the airport and observe that 3 people were checked. When calculating the proportion of his sample he obtained p = 0.10 What should be the null hypothesis (Ho) vs alternative hypothesis (H1)?

600+0.90n=270+1.50n

Factorize 1-4h²

Vertex y=x^2-6x

(1/2+1/3+1/4)-(1/8+1/16+1/2)