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3 years ago

4 more than the quotient 12 and a number x

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

More than means to add.

Quotient means to divide.

4 + (12/x)

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

What is the value of the expression 18-2×(4+3)

Vika [28.1K]

The value would be 4.

First, you have to do 4 + 3 because it's in parenteces. This equals 7
Secondly, you have to do 2 x 7, which is 14.
Last you have to do 18 - 14 which is 4.

3 0

3 years ago

Read 2 more answers

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Neko [114]

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

3 0

3 years ago

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What is that first step in solving the equation 2x-1=3?

ddd [48]

Answer:

subtract 1 then divide 2

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing th

Talja [164]

Answer:

A percentage by definition means out of a hundred.

Anything out of a percent is anything out of a hundred.

In this case it’s 32 percent.

It’s just 32/100

When simplified you’d get 8/25

6 0

1 year ago