Sarah invests £9600 at a simple intrest rate of 8% per year work out the value of the investment after 3 years ?

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

motikmotik

Answer:

Option B is right answer.

Step-by-step explanation:

Yes, it is true hat the rectangle EFGH is a result of dilation of rectangle ABCD with a center of dilation at the origin.

Also according to the given image, we can see that the scale factor of the dilation is greater than one as the new image is bigger than the pre-image.

Also, we can see is that ∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°

So, we can say that option B is true - Yes, because both figures are rectangles and all rectangles are similar.

8 0

2 years ago

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Below is a scale drawing of the town swimming pool in the drawing the longest side of the pool has length of 10 inches Paco crea

quester [9]

Answer:

2:1 that is 2 inches in real life is equal to 1 inch in the drawing.

Step-by-step explanation:

We are given the following in the question:

Longest side of the pool = 10 inches

Longest side of the pool in drawing = 5 inches

Scale:

We find the ratio of the real length of pool and the measurement of the length of the pool in the drawing.

$\text{Scale} = \dfrac{10\text{ inches}}{5\text{ inches}} = 2:1$

Thus, we can say Paco's new drawing follows a scale of 2:1 that is 2 inches in real life is equal to 1 inch in the drawing.

6 0

2 years ago

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The time for a professor to grade a student's homework in statistics is normally distributed with a mean of 12.6 minutes and a s

Rus_ich [418]

Answer:

37.23% probability that randomly selected homework will require between 8 and 12 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 12.6, \sigma = 2.5$