Which image of figure wxyz is under the composition t 2,7 . d 0,2? a. figure a b. figure b c. figure c d. figure d

A. Figure A

Step-by-step explanation:

We are given the figure WXYZ.

It is required to find the final figure after .

Now, means to dilate the figure by 2 units and means to translate it by 2 units to the left/right and seven units up/down.

As we have to apply to the figure.

This means that first dilation is applied and then translation.

Since, the all the figures are dilated. We focus on the translations.

We can see that, only figure A is translated 2 units to the right and 7 units upwards.

So, option A is correct.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet