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
Reika [66]
3 years ago
6

How much would it have rained each month if the total amount of rain

Mathematics
2 answers:
stealth61 [152]3 years ago
8 0

Answer:1.09090909091

Step-by-step explanation:

vfiekz [6]3 years ago
4 0

Answer:

11/12

Step-by-step explanation:

You might be interested in
PLEASE HELP 13 MIN LEFT HELLPPPPP!!!!!!! I’ll mark brainliest
vekshin1

Answer:

D.

Step-by-step explanation:

4 0
3 years ago
According to a 2014 Gallup poll, 56% of uninsured Americans who plan to get health insurance say they will do so through a gover
Airida [17]

Answer:

a) 24.27% probability that in a random sample of 10 people exactly 6 plan to get health insurance through a government health insurance exchange

b) 0.1% probability that in a random sample of 1000 people exactly 600 plan to get health insurance through a government health insurance exchange

c) Expected value is 560, variance is 246.4

d) 99.34% probability that less than 600 people plan to get health insurance through a government health insurance exchange

Step-by-step explanation:

To solve this question, we need to understand the binomial probability distribution and the binomial approximation to the normal.

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.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

56% of uninsured Americans who plan to get health insurance say they will do so through a government health insurance exchange.

This means that p = 0.56

a. What is the probability that in a random sample of 10 people exactly 6 plan to get health insurance through a government health insurance exchange?

This is P(X = 6) when n = 10. So

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

P(X = 6) = C_{10,6}.(0.56)^{6}.(0.44)^{4} = 0.2427

24.27% probability that in a random sample of 10 people exactly 6 plan to get health insurance through a government health insurance exchange

b. What is the probability that in a random sample of 1000 people exactly 600 plan to get health insurance through a government health insurance exchange?

This is P(X = 600) when n = 1000. So

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

P(X = 600) = C_{1000,600}.(0.56)^{600}.(0.44)^{400} = 0.001

0.1% probability that in a random sample of 1000 people exactly 600 plan to get health insurance through a government health insurance exchange

c. What are the expected value and the variance of X?

E(X) = np = 1000*0.56 = 560

V(X) = np(1-p) = 1000*0.56*0.44 = 246.4

d. What is the probability that less than 600 people plan to get health insurance through a government health insurance exchange?

Using the approximation to the normal

\mu = 560, \sigma = \sqrt{246.4} = 15.70

This is the pvalue of Z when X = 600-1 = 599. Subtract by 1 because it is less, and not less or equal.

Z = \frac{X - \mu}{\sigma}

Z = \frac{599 - 560}{15.70}

Z = 2.48

Z = 2.48 has a pvalue of 0.9934

99.34% probability that less than 600 people plan to get health insurance through a government health insurance exchange

4 0
2 years ago
Determine whether triangle M'N'O' is a dilation of triangle MNO.
3241004551 [841]
<span>The answer is:
not a dilation because the points of the image are not moved toward the center of dilation proportionally</span>
7 0
3 years ago
Read 2 more answers
Write as an algebraic expression. "The difference between a number and -13
melisa1 [442]
n - (-13)
= n + 13
3 0
3 years ago
Ill give brainliest to someone who answers first
Mars2501 [29]

It is 28 pounds. This is because all of the others have a ratio of 4:1 while 28 and 5.5 have a ratio of 56:13.


6 0
3 years ago
Other questions:
  • What is the area of a sector with a central angle of π3 radians and a radius of 12.4 m? Use 3.14 for π and round your final answ
    13·2 answers
  • A thief steals an ATM card and must randomly guess the correct three​-digit pin code from a 8​-key keypad. Repetition of digits
    13·1 answer
  • Will give brainliest!
    13·1 answer
  • Can someone pls help me find the correct answers pls and thank you!
    14·1 answer
  • Decide whether the relation defines y as a function of x. Give the domain and range.
    12·1 answer
  • Pic. Sequence. Even.odd.
    15·1 answer
  • A pyramid art installation has a surface area of 24 m2. An artist creates replicas with scale factors of 1/8, 1/10, and 1/12. Wh
    15·1 answer
  • I HAVE QUESTION WHY DOES EVERY MARRIED PERSON ALWAYS NEED TO FIND A WAY TO BRING UP THE FACT THEYRE MARRIED example: "the weathe
    14·1 answer
  • stack X B with rightwards arrow on top bisects ∠AXC. If m∠AXB = 2x + 10, m∠BXC = 2x + 10, and the m∠AXC = 6x – 6, find the value
    13·1 answer
  • Please help solve 20 points.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!