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Natalija [7]
3 years ago
10

54 is 90% of what number

Mathematics
2 answers:
Mumz [18]3 years ago
6 0
\begin{array}{ccc}90\%&-&54\\\\100\%&-&x\end{array}\ \ \ |cross\ multiply\\\\\\90x=54\cdot100\ \ \ \ |divide\ both\ sides\ by\ 90\\\\x=\frac{54\cdot100}{90}\\\\x=\frac{54\cdot10}{9}\\\\x=\frac{6\cdot10}{1}\\\\\boxed{x=60}\leftarrow answer
denpristay [2]3 years ago
5 0

54 is n of 90

54= nx90

n=54/90= .6 is 60%

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Write parametric equations of the line with the equation 4x-6y=-12
Vitek1552 [10]

Answer:

no the answer is 2

Step-by-step explanation:

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3 years ago
You are wrapping a gift box that is 16 inches long, 7 inches wide, and 9 inches tall. Find the amount of wrapping paper you need
Svetach [21]

Answer:

638 in.²

Step-by-step explanation:

Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.

SA = PH + 2LW

where

P = perimeter of base = 2(L + W),

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L = length of base

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3 years ago
Many studies have found an association between red meat consumption and an increased risk of chronic diseases. What is the relat
hoa [83]

Answer:

1. This is an observational study.

2. The explanatory variable is A. red meat consumption

3. The response variable is B. Whether or not a subject dies.

Step-by-step explanation:

1. An observational study is a type of study where the researcher would observe the effects and he would also make no attempt to change the outcome

2. The explanatory variable is also called the independent variable and in this case it is red meat consumption because it is what would be used to predict the dependent variable

3. The response variable is known as the dependent variable it is our variable of interest. It is what the researcher is trying to find out. In this case the answer is whether or not the subject dies

5 0
4 years ago
TV advertising agencies face increasing challenges in reaching audience members because viewing TV programs via digital streamin
IRINA_888 [86]

Answer:

a)

[0.5235, 0.5765]

To interpret this result, we could say there is a 99% of probability that the proportion  of  American adults who have watched digitally streamed TV programming on some type of device is between 52.35% and 57.65%

b) 1,843 American adults

Step-by-step explanation:

The 99% confidence interval is given by  

\bf p\pm z^*\sqrt{p(1-p)/n}

where  

<em>p = the proportion of American adults surveyed who said they have watched digitally streamed TV programming on some type of device = 55% = 0.55</em>

<em>\bf z^* the z-score for a 99% confidence level associated with the Normal distribution N(0,1). We can do this given that the sample size (2,341) is big enough</em>

<em>n = sample size = 2,341</em>

We can find the \bf z^* value either with a table or with a spreadsheet.

In Excel use NORM.INV(0.995,0,1)

In OpenOffice Calc use NORMINV(0.995;0;1)

We get a value of \bf z*= 2.576

and our 99% confidence interval is

\bf 0.55\pm 2.576\sqrt{0.55*0.45/2341}=0.55\pm 2.576*0.0103=0.55\pm 0.265 = [0.5235, 0.5765]

<em>To interpret this result, we could say there is a 99% of probability that the proportion  of  American adults who have watched digitally streamed TV programming on some type of device is between 52.35% and 57.65%</em>

We are 99% confident that this interval contains the true population proportion.

(b) What sample size would be required for the width of a 99% CI to be at most 0.03 irrespective of the value of p?? (Round your answer up to the nearest integer.)

The sample size n in a simple random sampling is given by

\bf n=\frac{(z^*)^2p(1-p)}{e^2}

where  

<em>e is the error proportion = 0.03</em>

hence

\bf n=\frac{(2.576)^2p(1-p)}{(0.03)^2}=7373.0844p(1-p)=7373.0844p-7373.044p^2

taking the derivative with respect to p, we get

n'(p)=7373.0844-2*7373.0844p

and  

n'(p) = 0 when p=0.5

By taking the second derivative we see n''(p)<0, so p=0.5 is a maximum of n

This means that if we set p=0.5, we get the maximum sample size for the confidence level required for the proportion error 0.03

Replacing p with 0.5 in the formula for the sample size we get

\bf n=7373.0844*0.5-7373.044(0.5)^2=1,844

rounded up to the nearest integer.

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