MATHEMATICS COLLEGE

rafael counted a total of 40 white and yellow cars. there are 9 times as many white cars as yellow cars. how many white cars did rafael count.

Answers

Answer 1

Answer:

Answer:

360

Step-by-step explanation:

40 times 9 = 360

there are 360 yellow cars

or we can do it like this

360 divided by 9 = 40

or 360 divided by 40 = 9

pls mark me brailest for real :,,(

Answer 2

Answer:

Answer:

360

Step-by-step explanation:

9 x 40 = 360

If you divide 360 by 9 it will give you 40,

or if you divide 360 by 40 it will give you 9.

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What is the solution of square root of-4x=100? x = –2500 x = –50 x = –2.5 no solution

Answers

√(-4x) = 100
-4x = 100² = 10,000
x = 10,000/-4 = -2500

The solution is ...
x = -2500

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a mean of 950 and a standard deviation of 155 while the ACT scores have a mean of 22 and a standard deviation of 4. Assuming the performance on both tests follows a normal distribution, determine which test the student did better on.

Answers

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = (X - \mu)/(\sigma)$

$Z = (1070 - 950)/(155)$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = (X - \mu)/(\sigma)$

$Z = (25 - 22)/(4)$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

How many randomly selected employers must we contact in order to create an estimate in which we are 95% confident with a margin of error of 9%? b) Suppose we want to reduce the margin of error to 4%. What sample size will suffice? c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%?

Answers

Answer:

a)n=543

b)n=1509

c)n=13573

Step-by-step explanation:

c=98%,

$E=0.05$

Margin Error $E=Zα/2√p(1-p)/n$

but $n=((Zα/2)/n)²×p(1-p)$

where the confidence level is 1-α=0.98

cross multiply

$Zα/2=2.33$

where p=0.5

input the values

$n=(2.33/0.55)²×0.5(1-0.5)=543$

n=0.33

b) E=0.33

$E=Zα/2√p(1-p)/n$

$n=((Zα/2)/n)²×p(1-p)$

$1-α=0.01$ confidence level

n=(2.33/0.33)²×0.5(1-0.5)=1504

$n=1504$

c) $E=Zα/2√p(1-p)/n$

$n=((Zα/2)/n)²×p(1-p)$

1-α=0.98

cross multiply

Zα/2=2.33

p=0.5

n=(2.33/0.01)²×0.5(1-0.5)=13573

$n=13573$

Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8.25 pounds, 9.25 pounds, 8.875 pounds, 9.625 pounds and 10.75 pounds. At the party, 153 people each ate a 0.25 pound serving of watermelon. Was the amount of leftover watermelon less than, greater than, or equal to 8.5 pounds? Explain how to solve the problem.

Answers

The first thing we must do for this case is to find the total weight of the watermelons.
We have then:
$W = 8.25 + 9.25 + 8.875 + 9.625 + 10.75 W = 46.75 pounds$
We now look for the amount of watermelons that people ate.
We have then:
$(0.25) * (153) = 38.25 pounds$
Therefore, the amount of watermelon remaining is:
$46.75 - 38.25 = 8.5 pounds$
We note that the amount of watermelon remaining is equal to 8.5 pounds.
Answer:
the amount of leftover watermelon is: equal to 8.5 pounds

Answer:
The amount of leftover watermelon is equal to 8.5 pounds

Explanation:
1- getting the total weight of the watermelon:
The total weight of the watermelon will be the summation of the weights of the 5 watermelons he bought.
This means that:
Total weight = 8.25 + 9.25 + 8.875 + 9.625 + 10.75
Total weight = 46.75 pounds

2- getting the weight of the eaten watermelon:
We know that at the party, there were 153 people and each ate 0.25 of a pound of watermelon.
This means that:
amount eaten = 153 * 0.25
amount eaten = 38.25 pounds

3- getting the weight of the leftover:
weight of leftover = total weight - amount eaten
We have:
Total weight = 46.75 pounds
amount eaten = 38.25 pounds
Therefore:
weight of leftover = 46.75 - 38.25
weight of leftover = 8.5 pounds

Hope this helps :)

A train leaves the station at time t=0. Traveling at a constant speed, the train travels 280 kilometers in 2 hours. Answer parts a and b.a. Write a function that relates the distance traveled d to the time t.

The function that relates the distance traveled d to the time t is

Answers

The function that relates the distance travelled d to the time t is d = f(t) = 140t.

What is Speed?

Speed is a scalar quantity which measures the rate of change of the position of an object without measuring on the direction.

In other words, it can be defined as the ratio of distance covered by an object to the time taken by the object to cover the distance.

The train leaves the station at time t = 0.

Distance travelled by the train = 280 kilometers

Time taken to travel the distance = 2 hours

Speed = Distance / Time

= 280 / 2

= 140 kilometers/ hour.

Given that train travels at a constant speed.

So for any distance 'd' and the time taken to travel the distance 't',

d / t = 140

d = 140t

d = f(t) = 140t

Hence the distance travelled by the train can be related to the time taken by the function, d = f(t) = 140t

To learn more about Speed, click :

brainly.com/question/28224010

#SPJ5

Answer:

d = 140t

Step-by-step explanation:

I need the right answers pls and tysmmm

Answers

Answer:

It's 21, you are correct!!

Step-by-step explanation:

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