Please help ty!

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Problem 3

Explanation:

Two points from the graph are (10,2) and (20,4)

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (4-2)/(20-10)

m = 2/10

m = 1/5

The slope of the graph is 1/5.

Do the same for two points from the table. I'll use the first two rows

m = (y2-y1)/(x2-x1)

m = (4-2)/(10-5)

m = 2/5

The slope of the table is 2/5.

Subtract the two slopes to wrap things up:

2/5 - 1/5 = (2-1)/5 = 1/5

Problem 5

Explanation:

Angles 1 and 3 are same side exterior angles, so they are supplementary due to the parallel lines set up here.

(angle1)+(angle3) = 180

(157) + (angle3) = 180

angle3 = 180-157

angle3 = 23 degrees

on friday there were 15 birds

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;