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Juliette [100K]
3 years ago
8

If ​P(E)=0.55​, ​P(E or ​F)=0.65​, and​ P(E and ​F)=0.20​, find​ P(F).

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

.3

Step-by-step explanation:

let x= P(f)

.65= .55+x-.2

P(F)=.3

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 550, \sigma = 100

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

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

Z = \frac{400 - 550}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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

0.675 = \frac{X - 550}{100}

X - 550 = 0.675*100

X = 617.5

6 0
3 years ago
Please answer a and b, I will give brainliest!!!!!
aniked [119]

Answer:

b

Step-by-step explanation:

because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)

5 0
3 years ago
A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β so that the cone will have a volum
dezoksy [38]
Volume = area of base *height 

20 = pir^2 *h

20 = 3,14*4*h

h = 20/12,56 = 1,59 rounded 1,6

- using the triangle formed by radius,the height of cup and the slant height of cup so we can writing that

tan ß = h/r so tan ß = 1,6/2 = 0,8

tan ß = 0,8 so ß = arctan 0,8 = 38,6 degrees so 39 degrees 

hope helped 
5 0
3 years ago
What is the percent of 3/4
Dennis_Churaev [7]

Answer:

75%

Step-by-step explanation:

8 0
3 years ago
Can someone help me.​
salantis [7]

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

a^{-m} = \frac{1}{a^{m} }

g(- 2) = 4^{-2} = \frac{1}{4^{2} } = \frac{1}{16}

g(- 1) = 4^{-1} = \frac{1}{4}

g(0) = 4^{0} = 1

g(1) = 4^{1} = 4

g(2) = 4² = 16

8 0
3 years ago
Read 2 more answers
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