1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anarel [89]
3 years ago
13

If the bases of a trapezoid have lengths of 19 and 38, what is the length if the median?

Mathematics
1 answer:
Feliz [49]3 years ago
7 0
Length of the median would be: a+b / 2 = 19+38 / 2 = 57/2 = 28.5
You might be interested in
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

p = 0.75

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
Why the great awakening was important to people?
katrin2010 [14]
Well is this like history 

4 0
3 years ago
What is the interval notation for the compound inequality? x is less than or equal to -4 or x is greater than or equal to 5?
Tems11 [23]

x is less than or equal to -4 or x is greater than or equal to 5

x <= -4 or x>= 5

There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality

for x<=-4 , x starts at -4  and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets

Interval notation is (-∞ , -4]

for x>= 5 , x starts at 5  and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5

Interval notation is [5 , ∞)

Now combine both notation by a 'U' symbol Union

(-∞ , -4] U [5 , ∞)

5 0
3 years ago
What is the measure in degrees of 8x if one angle is already 7x and 44.4 degrees?
Julli [10]
7x+8x+44.4=180

15x=44.4=180

15x=135.6

x=9.04°

so 8x=72.32° and the 7x is 63.28°
6 0
3 years ago
Plz answer i'll give brainliest but it has to be right.
Alex17521 [72]
3 -3/4 and 2 pls brainlest
8 0
2 years ago
Other questions:
  • Rocco spent 20% of his savings on clothes. He brought $50 clothes. How much did he have in the beginning
    14·2 answers
  • For the month of June, a music supply company is promoting the launch of its electronic music club by offering new members two o
    12·2 answers
  • 3 miles per minute is equivalent to feet per minute.
    15·1 answer
  • Find the surface area
    12·1 answer
  • Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length
    5·1 answer
  • What is the volume for the cone
    9·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST!!!!!
    7·1 answer
  • A fruit stand has 5 bags of apples with 8 apples in each bag if there are 3 more aples on the shelf next to the bags how many to
    5·1 answer
  • Adrian belter hit 48 home run during the 2004 major league baseball season, but only hit 19 home runs in 2005 season. By what pe
    5·1 answer
  • What is the answer to 25% of 50
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!