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kykrilka [37]
3 years ago
9

The area of the rectangle is 20 square inches. The rectangle is enlarged by a factor of 6.

Mathematics
2 answers:
alina1380 [7]3 years ago
7 0

Answer:

b

Step-by-step explanation:

d1i1m1o1n [39]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

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Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

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We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

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