Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time. with a desired confidence of 99%, which has a z*-score of 2.58, which statements are true? check all that apply. e = z* the sample size is 40. the sample size is 64. the point estimate of the population proportion is 0.16. the point estimate of the population proportion is 0.625. the margin of error is approximately 12%. the margin of error is approximately 16%.

- The sample size is 64.

- The point estimate of the population proportion is 0.625.

-The margin of error is approximately 16%.

Step-by-step explanation:

Given that Katrina randomly selected 64 students out of her school of 400 students and found that 40 of them want school to start at a later time.

Out of the statements given the true statements are :

1) The sample size is 64

2) The point estimate of the population is sample proportion =40/64 =5/8

=0.625

3) Margin of error = std error x 2.58

Std error = sq rt pq/n

p=0.625 and q = 0.375

Hence std error = 0.060

Margin of error = 0.156

Round off to 0.16 = 16%

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.

she drove 134 miles

step-by-step explanation: