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3 years ago

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

1 answer:

8 0

The point-slope form is
y - y1 = m(x - x1)

Given (3, -2) and m = 4, so
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14

That is now the line equation.

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Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly se

Naya [18.7K]

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.

The sample size and estimate are given by:

$n = 2002, \pi = 0.71$

Hence, the lower bound is given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839$

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

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4 0

3 years ago

(7 + 41) ÷ 2 – 15 =? <br><br> Find the solution for this question.

koban [17]

precedence is:

1 Parentheses (simplify inside 'em)

2 Exponents

3 Multiplication and Division (from left to right)

4 Addition and Subtraction (from left to right)

(7+41) = 48

48 ÷ 2 = 24

24 -15 = 9

6 0

2 years ago

Read 2 more answers

Blake is a member of a golf club. When he became a member, he deposited money into his club account. For each round of golf that

Leno4ka [110]

Answer:

D) Blake's account initially had $320, which is decreasing at the rate of $20 per round.

Step-by-step explanation:

Here, according to the question:

x: The total number of golf rounds played

y: Represents the amount, in dollars, left in his account after playing x rounds

Let as assume A is the amount deposited initially.

y = A - n x here n : rate of each round played

Also, here

if x = 2, then y = 280

if x =4, then y = 240

If x = 2 and y = 280, then:

y = A - n x ⇒ 280 = A - 2 n ... (1)

If x = 4 and y = 240, then:

y = A - n x ⇒ 240 = A - 4 n ... (2)

Solving (1) and (2) by (1) - (2), we get:

40 = 2 n or, n = 20

Putting n = 20 in 280 = A - 2 n, we get: A = 280 + 2(20) = 320

⇒ A = $320, n = $20

⇒ The amount initially deposited is $320 and the rate per round is $20

Hence ,Blake's account initially had $320, which is decreasing at the rate of $20 per round.

4 0

3 years ago

Kate baked some cookies. She put 12 cookies on each cookie sheet. If she baked 24 cookie sheets of cookies, how many cookies did

lesantik [10]

Answer:

She baked 288 cookies

Step-by-step explanation:

24 X 12 equals 288

3 0

3 years ago

Read 2 more answers

Pls help it for math

Morgarella [4.7K]

I think it’s 8

Hope it helps

7 0

3 years ago