A movie producer has been handed two scripts. One is a wacky comedy going by the name of "Poindexter Joins The Army" and the other is a psychological thriller known as "The Deconstructionist". The producer does not know which film to invest in. He is interested in knowing if there is any difference between people's enjoyment of comedies and people's enjoyment of thrillers. He decides to conduct a hypothesis test comparing these. He collects a random sample of 67 people and asks them to rate how much they enjoy comedies with a score out of 100. He also collects a random sample of 38 people and asks them to rate thrillers with a score out of 100. The sample mean for comedies is 73.1 and the sample standard deviation is 19.1. The sample mean for thrillers is 68 and the sample standard deviation is 5.9. The producer is going to conduct a test comparing the population mean score for comedies (μ1) to the population mean score for thrillers (μ2). The following hypotheses will be used: H0: μ1 = μ2 Ha: μ1 ≠ μ2 The producer believes that there is more variety in people's appreciation of comedies, and so he assumes that the two population standard deviations are not equal in this situation. Calculate the test statistic (t) for this test. Give your answer to 3 decimal places

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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get