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Ede4ka [16]
3 years ago
10

Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10. In a group of 230 tests, how many s

tudents score above 96?
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
We are given with a mean of 76 and a standard deviation of 10. IN this case, we are asked to determine the probability that the score is beyond 96. 

z score = (96-76)/ 10 = 2

With the z-score of 2, the probability that is equivalent is 0.0235 or 2.35 percent. 
Tanzania [10]3 years ago
5 0
The score of 96 is 2 standard deviations above the mean score. Using the empirical rule for a normal distribution, the probability of a score above 96 is 0.0235.
Therefore the number of students scoring above 96 is given by:
230\times 0.0235=5\ students
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Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?
Delvig [45]
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
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3 years ago
Marta is solving the equation S = 2πrh + 2πr^2 for h. Which should be the result?
olga_2 [115]

Answer:

h = \frac{S}{2πr} - r


Step-by-step explanation:

The question requires you to make h the subject of the formula.

S = 2πrh + 2πr²

subtract 2πr² on both sides.

S - 2πr² = 2πrh - 2πr² -  2πr²

S - 2πr² = 2πrh

Dividing both sides by  2πr

(S -  2πr²)/2πr =  2πrh/ 2πr

h = \frac{S}{2πr} - r


7 0
3 years ago
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Write this expression in a different way. 2x-438
yaroslaw [1]
2x-438 = -438+2x= 2(x-219)
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How many terms in 2-8+22<br> A. 1<br> B. 2<br> C. 3<br> D. 26
natima [27]

Answer:

6 is the answer.

is it right

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Solve each equation by completing the square 2q^2+8q=3
3241004551 [841]

Answer:

Divide by 2

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(q+4/2)^2=3/2+16/4

taking the square root of both side

√(q+4/2)^2=√(3/2+16/4)

Note that the square will cancel the square root then you will take LCM on the right hand side

q+4/2=√6+16/4

q+4/2=√22/4

q= -4/2+-√22/4

q=(-4+_√22/4)

5 0
3 years ago
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