What are the answers to question 1 and 3 PLZZ HURRRYYY

Step-by-step explanation:

1. Since ark MN is equal in length with ark PQ, line MN=PQ

So 4x+10=38

4x=38-10

4x=28

x=28/4

x=7

3. Same thing so we equate the two parameters

5x-7=3x+2

2x=9

x=9/2

x=4.5

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;

14 ft 7 inches

step-by-step explanation:

since each model inch corresponds to 25 real inches, 7 model inches will correspond to

7×25" = 175"

at 12" per foot, that is 14 feet, 7 inches.