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3 years ago

What is 9/20 divided by 4/15?

Mathematics

1 answer:

DedPeter [7]3 years ago

4 0

Multiply 9/20 by the reciprocal of 4/15, which is 15/4. Your answer is 135/80, or 27/16.

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g You plan to construct a confidence interval for the mean μ μ of a Normal population with known standard deviation σ . σ. Which

muminat

Answer:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can reduce this margin of error with:

Increasing the sample size

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n represent the sample size

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

[tex] ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

And we can reduce this margin of error with:

Increasing the sample size

5 0

4 years ago

During 2019, a corporation purchased machinery costing $1,200,000 and a warehouse costing $1,600,000. These are the only two acq

maw [93]

Answer:

The maximum deduction the corporation can claim under Code SeC. 179 in 2019 is $1,000,000

Step-by-step explanation:

The new tax provisions under code 179 allows maximum deduction of $1,000,000 on equipment(machines) placed in service in 2019.

8 0

3 years ago

Combine like terms to create an equivalent expression. 7.4z−5(−1.6z+2.4)

ryzh [129]

Answer: $15.4z-12$

Step-by-step explanation:

For this exercise it is important to remember:

The Distributive property:

$a(b\±c)=ab\±ac$

The multiplication of signs:

$(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-$

Then, given the following expression:

$7.4z−5(-1.6z+2.4)$

You need to apply the Distributive property. Then:

$=7.4z+8z-12$

Now you can combine like terms (or add the like terms). Then you get:

$=15.4z-12$

Therefore, the equivalent expression created by combining like terms, is:

$15.4z-12$

6 0

3 years ago

Find the dimensions of a rectangle, length 7m less than three times the width and the area of the rectangle is 66m^2.

zhuklara [117]

We know: length of a rectangle is 7m less than three times the width.

So let's set the length to l, width to w.

And we can get that l = 3w-7.

We also know that the area of the rectangle is 66 m^2.

Thus, l*w= 66.

So we have:

function 1: l=3w-7

function 2: l*w=66

plug function 1 to 2.

(3w-7)*w=66

3w^2-7w-66=0

w=6 and -11/3.

And the width of a rectangle can not be negative.

So: w=6.

Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.

l=3*6-7=11.

So: the width of the rectangle is 6, and the length of the rectangle is 11.

5 0

3 years ago

The answer is x = 7<br> Problem is I don’t how to get there

3241004551 [841]

Answer:

x=7

Step-by-step explanation:

okay so you can see that there is a isocales triangke so that means the other base angle has to be 8x

then you know that the dioganels are perpendicular to each other

so then you know that 8x+5x-1+90=180

13x-1=90

13x=91

x=7

hope that helps

8 0

3 years ago