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3 years ago

Fill in the blank 3(2+7a)=6+

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

$3(2+7a)=6+$

$6 + 21a = 6$

$21a + 6 = 6 + 21a$

answer is 21a

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Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan

Lerok [7]

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\mu_{\bar{x}} = \mu = 5.10$

b) Standard deviation of the sampling distribution

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11$

3 0

3 years ago

What is the volume of the rectangular prism? Type the answer in the boxes below.

Wittaler [7]

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

8 0

3 years ago

A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is

Citrus2011 [14]

We essentially have a ratio here:
$\frac{shadow}{actual}$

Since we know the ratio is going to stay constant at $\frac{5}{6}$ , we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
$\frac{5}{6}=\frac{20}{h}$
$5h=120$
$h=24$

5 0

3 years ago

Helppp pleasee ........

I am Lyosha [343]

Y=3
to solve this you just substitute 4 in for x into the equation and solve for y. since negative 3 plus 7 is 4, y=4

4 0

2 years ago

Read 2 more answers

A regular pentagon ABCDE is shown Work out the size of X

nikdorinn [45]

The sum of the angles in a pentagon is 540°.

This means that each angle is 108°.

Inside you pentagon, a triangle is drawn. This triangle is isosceles, because the corners are on the points of the regular pentagon. You know that angle C is 108°.

Angles in a triangle add up to 180°.

B and D will be the same size as this is isosceles.

180°-108° = 72°

This is B and D. You only need one of these, so you divide by 2.

The answer is 36°.

Hope this helps :)

7 0

3 years ago

Read 2 more answers