The heights of young adult females in the United States are said to have a population standard deviation of LaTeX: \sigma = 2.6=2.6 inches. A sample was taken of LaTeX: n = 85=85 young adult females at BYU-Idaho and the mean was computed to be LaTeX: \bar{x} = 65.4x¯=65.4 inches.

The 95% confidence interval for the population mean height of young adult females is (64.8 inches, 66.0 inches).

Step-by-step explanation:

Let X = heights of young adult females in the United States.

The standard deviation of the heights of young adult females in the United States is, σ = 2.6 inches.

A sample of n = 85 young adult females at BYU-Idaho is selected.

The sample mean height of these 85 females is, .

The (1 - α)% confidence interval for the population mean is:

The critical value of z for 95% confidence level is:

Compute the 95% confidence interval for the population mean height of young adult females as follows:

Thus, the 95% confidence interval for the population mean height of young adult females is (64.8 inches, 66.0 inches).

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.