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2 years ago

You have $50 and are buying some movies on DVDs that cost $15 each. Write an expression that shows how

Mathematics

1 answer:

alexdok [17]2 years ago

3 0

Answer:

50 - 15m

Step-by-step explanation:

You start out with 50 dollars so that is the constant.

Each DVD is 15 dollars, so for every dvd(m) it is 15 dollars.

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If f (x) = x2 + 4x-12. find f(2).

Otrada [13]

Answer:

f= x^2+4x−12 /x

Step-by-step explanation:

Step 1: Divide both sides by x.

fx /x = x^2+4x−12 /x

f= x^2+4x−12 /x

6 0

3 years ago

rita reads 3 fiction books for every 2 non-fiction books.Which ratio represents the number of non-fiction books rita has read wh

Fudgin [204]

Answer:

6 nonfiction books

Step-by-step explanation:

if it's fiction to non 9:6

if it's non to fiction 6:9

(you may need to simplify)

5 0

3 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

sveticcg [70]

Answer:

-2

Step-by-step explanation:

image attached!

7 0

3 years ago

WILL GIVE BRAINLIST

Nataliya [291]

Answer:

Step-by-step explanation:

Find out the how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

= 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres of waters.

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .

5 0

2 years ago

Read 2 more answers

Someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi. We think the

denpristay [2]

Answer:

The sample size must be greater than 37 if we want to reject the null hypothesis.

Step-by-step explanation:

We are given that someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi.

Also, we are given a level of significance of 5%.

Let $\mu$ = <u><em>mean breaking strength of their climbing rope</em></u>

SO, Null Hypothesis, $H_0$ : $\mu$ = 2,000 psi {means that the mean breaking strength of their climbing rope is 2,000 psi}

Alternate Hypothesis, $H_A$ : $\mu$ < 2,000 psi {means that the mean breaking strength of their climbing rope is lower than 2,000 psi}

Now, the test statistics that we will use here is One-sample z-test statistics as we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = ample mean strength = 1,997.2956 psi

$\sigma$ = population standard devaition = 10 psi

n = sample size

Now, at the 5% level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

So, to reject our null hypothesis our test statistics must be less than -1.645 as only then we have sufficient evidence to reject our null hypothesis.

SO, T.S. < -1.645 {then reject null hypothesis}

$\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < -1.645$

$\frac{1,997.2956-2,000}{\frac{10}{\sqrt{n} } } < -1.645$

$(\frac{1,997.2956-2,000}{10}) \times {\sqrt{n} } } < -1.645$

$-0.27044 \times \sqrt{n}< -1.645$

$\sqrt{n}> \frac{-1.645}{-0.27044}$

$\sqrt{n}>6.083$

n > 36.99 ≈ 37.

SO, the sample size must be greater than 37 if we want to reject the null hypothesis.

7 0

4 years ago