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3 years ago

Use the distributive property to rewrite the expression 6(5-q)

2 answers:

8 0

Distribute the 6 to all the numbers & variables inside the expression (multiply)

6(5-q)

30 - 6q is your answer

hope this helps

ludmilkaskok [199]3 years ago

7 0

Hi there!
We are asked to use the distributive property to rewrite the expression 6(5 - q). Using the distributive property, we get 6(5) - 6(q). When we simplify, we get 30 - 6q, which is our answer. Hope this helps!

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Starting salaries of 90 college graduates who have taken a statistics course have a mean of $43,993 and a standard deviation of

Rufina [12.5K]

Answer: attached below

Step-by-step explanation:

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3 years ago

Compare 6 ⋅ 108 to 3 ⋅ 106.

djverab [1.8K]

Answer:

$6*10^8$ is 200 times larger than $3*10^6$

Step-by-step explanation:

$6*10^8\ and \ 3*10^6$

To compare both values we divide the exponents

$\frac{6*10^8}{3*10^6}$

6 divide by 3 is 2

for simplify exponents we use exponential property

a^m / a^n = a^(m-n)

$\frac{10^8}{10^6}=10^2$

$\frac{6*10^8}{3*10^6}=2*10^2= 200$

$6*10^8$ is 200 times larger than $3*10^6$

4 0

3 years ago

Read 2 more answers

Assume that females have pulse rates that are normally distributed with a mean of μ=73.0 beats per minute and a standard deviati

Gennadij [26K]

Answer:

a. the probability that her pulse rate is less than 76 beats per minute is 0.5948

b. If 25 adult females are randomly selected, the probability that they have pulse rates with a mean less than 76 beats per minute is 0.8849

c. D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

Step-by-step explanation:

Given that:

Mean μ =73.0

Standard deviation σ =12.5

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute.

Let X represent the random variable that is normally distributed with a mean of 73.0 beats per minute and a standard deviation of 12.5 beats per minute.

Then : X $\sim$ N ( μ = 73.0 , σ = 12.5)

The probability that her pulse rate is less than 76 beats per minute can be computed as:

$P(X < 76) = P(\dfrac{X-\mu}{\sigma}< \dfrac{X-\mu}{\sigma})$

$P(X < 76) = P(\dfrac{76-\mu}{\sigma}< \dfrac{76-73}{12.5})$

$P(X < 76) = P(Z< \dfrac{3}{12.5})$

$P(X < 76) = P(Z< 0.24)$

From the standard normal distribution tables,

$P(X < 76) = 0.5948$

Therefore , the probability that her pulse rate is less than 76 beats per minute is 0.5948

b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute.

now; we have a sample size n = 25

The probability can now be calculated as follows:

$P(\overline X < 76) = P(\dfrac{\overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{ \overline X-\mu}{\dfrac{\sigma}{\sqrt{n}}})$

$P( \overline X < 76) = P(\dfrac{76-\mu}{\dfrac{\sigma}{\sqrt{n}}}< \dfrac{76-73}{\dfrac{12.5}{\sqrt{25}}})$

$P( \overline X < 76) = P(Z< \dfrac{3}{\dfrac{12.5}{5}})$

$P( \overline X < 76) = P(Z< 1.2)$

From the standard normal distribution tables,

$P(\overline X < 76) = 0.8849$

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

In order to determine the probability in part (b); the normal distribution is perfect to be used here even when the sample size does not exceed 30.

Therefore option D is correct.

Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.

5 0

3 years ago

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of ball

lesya692 [45]

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
$m= \frac{60-40}{15-10}$ and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x

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3 years ago

1. Which equation can you use to find the value of x?

Alika [10]

Answer:

It's a proportion.

2 is to x as 15 is to 9, or 2/x = 15/9.

Multiply the means and extremes

15x = 18

divide both sides by 15 to get x by itself.

x = 1.2

Step-by-step explanation:

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3 years ago