3p + 10 = 2p + 21

a. 15
b. 17
c. 11
d. 21​

Answer:

D, all the students in each grade

Step-by-step explanation:

Since the teacher wants to find out the opinion of the the entire school, they should take a random sample from each grade because it is representative of the population they want to sample. If it was just boys, it would exclude the girls, and vice versa for the girls. The teachers aren’t part of the population the teacher wants to survey, so the teacher shouldn’t survey them. Thus, that leaves the random sample from each grade.

Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51

Answer:

are you sure this is the right question? none of those have a sum of 23

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

i did this quick check

Answer:

1.875 commercials a minute

Step-by-step explanation:

In line 3, it will be 7x to the power 2 not 4.

So, the answer will be

[tex]{7x}^{2} + 2x - 1[/tex]

Answer:

0.75

Step-by-step explanation:

there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.

Answer: A=48

Step-by-step explanation:

Answer: I believe it is 108 good luck girl

Answer:

Larger groups take less time

Step-by-step explanation:

the answer is 4 buses

Step-by-step explanation:

because you multiply 30 times 4 and it gives you you the right answers

Answer:

2/4 3/6

Step-by-step explanation:

any fraction where the numerator is half of the Denominator

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

4(x+3)

This is your expression.

Hope this helps! ;)

9514 1404 393

Answer:

  4(3 +x)

Step-by-step explanation:

The greatest common factor is 4, so any divisor of that can be factored out:

  12 +4x = 2(6 +2x) = 4(3 +x)

Answer:

Step-by-step explanation:

KP²+HP²=KH²

KP²+5²=8²

KP²=64-25=39

KP=√39

Answer:

D) The terms in Pattern B are one half the corresponding terms in Pattern A.

Step-by-step explanation:

Pattern A | Pattern B

0 divided by 1/2 = 0

6 divided by 1/2 = 3

12 divided by 1/2 = 6

18 divided by 1/2 = 9

24 divided by 1/2 = 12

Answer:

After the melting there were one and three fifths of snow left.

Step-by-step explanation:

Given that a snowstorm dropped three and two-fifths inches of snow, and the next day one and four-fifths inches melted, the following calculation must be performed to determine how much snow was left:

2/5 = 0.40

4/5 = 0.80

3.40 - 1.80 = X

1.60 = X

0.60 = 3/5

Thus, after the melting there were one and three fifths of snow left.

Answer:

x =  1

y =10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

256.37 5 and 6 is high enoughh to boost that 2 up to a 3

Answer:

uhhh 256.37 is rounded to the nearest hundreth

Unless you mean hundred thwn it would be 300

9514 1404 393

Answer:

  310 calories (120 from fat)

Step-by-step explanation:

A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...

  (1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

Answer:

Step-by-step explanation: