Suppose a normal distribution has a mean of 26 and a standard deviation of

An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg

mel-nik [20]

Measure of the angle that is opposite the line of 88 feet:
180° - ( 22° + 148° ) = 10°
Using the Sine Law:
sin 10° / 88 = sin 22° / x
0.173648 / 88 = 0.3746 / x
x · 0.173648 = 88 · 0.3746
x = 189.84 ft
h - height of a building:
h / x = sin 32°
h = x · sin 32° = 189.84 · 0.529919 = 100.59987 ≈ 100.6 ft
Answer: A ) 100.6 feet

4 0

4 years ago

Please help me ASAP!

Over [174]

[8x-2y]+[3x-4y]
=8x+3x-2y-4y

=11x-6y

4 0

3 years ago

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Nu

Tasya [4]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Professor Sanchez has been teaching Principles of Economics for over 25 years. He uses the following scale for grading. Grade Numerical Score Probability A 4 0.090 B 3 0.240 C 2 0.360 D 1 0.165 F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Answer:

a. Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. P(at least B) = 0.330

c. P(pass) = 0.855

Step-by-step explanation:

Professor Sanchez has been teaching Principles of Economics for over 25 years.

He uses the following scale for grading.

Grade Numerical Score Probability

A 4 0.090

B 3 0.240

C 2 0.360

D 1 0.165

F 0 0.145

a. Convert the above probability distribution to a cumulative probability distribution. (Round your answers to 3 decimal places.)

The cumulative probability distribution is given by

Grade = F

P(X ≤ x) = 0.145

Grade = D

P(X ≤ x) = 0.145 + 0.165 = 0.310

Grade = C

P(X ≤ x) = 0.145 + 0.165 + 0.360 = 0.670

Grade = B

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 = 0.910

Grade = A

P(X ≤ x) = 0.145 + 0.165 + 0.360 + 0.240 + 0.090 = 1

Cumulative Probability Distribution

Grade P(X ≤ x)

F 0.145

D 0.310

C 0.670

B 0.910

A 1

b. What is the probability of earning at least a B in Professor Sanchez’s course? (Round your answer to 3 decimal places.)

At least B means equal to B or greater than B grade.

P(at least B) = P(B) + P(A)

P(at least B) = 0.240 + 0.090

P(at least B) = 0.330

c. What is the probability of passing Professor Sanchez’s course? (Round your answer to 3 decimal places.)

Passing the course means getting a grade of A, B, C or D

P(pass) = P(A) + P(B) + P(C) + P(D)

P(pass) = 0.090 + 0.240 + 0.360 + 0.165

P(pass) = 0.855

Alternatively,

P(pass) = 1 - P(F)

P(pass) = 1 - 0.145

P(pass) = 0.855

4 0

3 years ago

Which function represents the given graph?

alexgriva [62]

Answer:

It's A I just got it correct

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of

Sladkaya [172]

Answer:

0.04

Step-by-step explanation:

In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:

SE= $\sqrt{\frac{p *(1-p)}{n} } \\$

Now, knowing that p = 0.552 and n = 160 we replace and we are left with:

SE = $\sqrt{\frac{0.552 *(1-0.552)}{160} } \\$

SE = $\sqrt{0.00154}$

SE = 0.039

Which means that the standard error of the proportion is 0.04

3 0

3 years ago