Parallelogram FGHJ was dilated and translated to form

Answer:

Option (C)

Step-by-step explanation:

The value of y exceeds the multiplication of x by 2.

The equation that describes this condition is:

y = 2x + 1

Thus, by inserting x values into this equation, we can produce a table reflecting the corresponding input and output values:

x        0       1         2        3        4

y         1        3        5        7        9

Consequently, the table provided in Option (C) is indeed the correct choice.

Answer:

At the α = 0.10 level, there is no substantial evidence indicating that the average vertical jump for students at this school differs from 15 inches.

Step-by-step explanation:

A hypothesis test is necessary to verify the assertion that the average vertical jump of students diverges from 15 inches.

The null and alternative hypotheses are:

The significance level is set at 0.10.

The sample mean recorded is 17, and the sample standard deviation is 5.37.

The degrees of freedom are calculated as df=(20-1)=19.

The t-statistic is:

The two-tailed P-value corresponding to t=1.67 is P=0.11132.

<pSince this P-value exceeds the significance level, the result is not significant. Therefore, the null hypothesis remains unchallenged.

At the α = 0.10 level, there is no compelling evidence that the average vertical jump of students at this school deviates from 15 inches.