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2 years ago

6

Mr Stanford wrote 65 pages of a travel brochure. he wants to divide it into 8 equal sections. How many pages will be in each sec

tions? Write the answer as a mixed number.

1 answer:

Debora [2.8K]2 years ago

7 0

Answer:

8/1

Step-by-step explanation:

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Emily and her family are planning to fly to Italy over the summer. If they fly out from LAX, the distance of the trip will be 6,

dezoksy [38]

It’s traveling at about 704.8 miles per hour

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3 years ago

Christian reads 14 book every 23 week. How many books does Christian read per week?

DedPeter [7]

Answer:

0.609 / week ( to nearest thousandth)

or you can state it as 60.9% of a book per week

Step-by-step explanation:

That would be 14/23 = 0.609 / week

6 0

2 years ago

Write (2p)^4 without exponents.

Fed [463]

Answer:

= 8p

Step-by-step explanation:

Steps

2p · 4

Remove parentheses: (a) = a

= 2p · 4

Multiply the numbers: 2 · 4 = 8

= 8p

5 0

3 years ago

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

2 years ago

Write the standard form of the line that passes through the given points. include your work in your final answer. (-1, -3) and (

yan [13]

The standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is <u>y - y₁ = m(x - x₁)</u> when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is <u>4x - 3y = 5</u>.

Learn more about equations of straight lines at

brainly.com/question/13763238

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6 0

2 years ago