In the Special Right Triangle below, solve for the value of y. Y = _ (keep your answer in simplest radical form) Options
5
5√2
10
10√2

Value of Y = 5√2 units

Step-by-step explanation:

Given:

Perpendicular = X

Base = Y

Hypotenuse = 10

Find:

Value of Y

Computation:

Cos θ = Base / Hypotenuse

Cos 45 = Y / 10

1/√2 = Y / 10

Value of Y = 5√2 units

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;

its line 2 i just added the rest or else it wouldn't let me answer