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3 years ago

What is the y-intercept of the equation?

Mathematics

1 answer:

Ivan3 years ago

8 0

The y intercept is 0
Y = mx + b
m = 7, there is no b

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A major home improvement store conducted its biggest brand recognition campaign in the company's history. A series of new televi

mestny [16]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

P = 0.22

For the alternative hypothesis,

P < 0.22

This is a left tailed test

Considering the population proportion, probability of success, p = 0.22

q = probability of failure = 1 - p

q = 1 - 0.22 = 0.78

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 230

n = number of samples = 1189

p = 230/1189 = 0.19

We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.19 - 0.22)/√(0.22 × 0.78)/1189 = - 2.5

Recall, population proportion, p = 0.22

We want the area to the left of 0.22 since the alternative hypothesis is lesser than 0.22. Therefore, from the normal distribution table, the probability of getting a proportion < 0.22 is 0.00621

So p value = 0.00621

Since alpha, 0.01 > than the p value, 0.00621, then we would reject the null hypothesis.

Referring to the above, the null hypothesis will be rejected if the test statistic is - 2.5

8 0

4 years ago

What is the difference between a formal and an informal proof?

Nutka1998 [239]

<span>informal proofs are usually in paragraph form, while formal proofs are numbered, like this:
Given: a=b, b=c
Prove: a=c
1. a=b, b=c 1. Given
2. a=c 2. transitive property
the first line is usually the given, the middle lines are statements which help you get to your proof, and the last line is your proven statement. next to your statements, you have to give reasons why the statement is true, like a=c is proven because of the transitive property</span>

6 0

3 years ago

I need to know the answer to this

Valentin [98]

It is three fourth = 3/4

6 0

3 years ago

Read 2 more answers

Write 1.25 as a fraction or a mixed number

Gnom [1K]

$1.25=1\frac{25}{100}=\frac{125}{100}$

7 0

3 years ago

Read 2 more answers

Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may

nata0808 [166]

Answer:

The length of the mat is 30 inches.

Step-by-step explanation:

Let H be the hypotenuse of the incline mat, L its length and h its height.

It is given that H = L + 4 and h = L - 14. Now, using Pythagoras' theorem for right-angled triangles, H² = L² + h²

(L + 4)² = L² + (L - 14)²

Expanding, we have

L² + 8L + 16 = L² + L² -28L + 196

collecting all the terms to the right side, we have

L² + L² -28L + 196 - L² - 8L - 16 = 0

L² - 36L + 180 = 0

Using the quadratic formula, L =

L $\frac{-(-36) +/- \sqrt{(-36)^{2} -4X1X180} )}{2X1} = \frac{36 +/- \sqrt{1296 - 720} }{2} \\= \frac{36 +/- \sqrt{576} }{2} \\= \frac{36 +/- 24 )}{2}\\=\frac{36 + 24}{2} or \frac{36 - 24}{2} \\=\frac{60}{2} or \frac{12}{2} \\= 30 or 6$

We use the larger answer L = 30 inches since L = 6 would give h = L -14 = 6 - 14 = -8 .

So, the length of the mat is 30 inches.

3 0

3 years ago