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Misha Larkins [42]
3 years ago
13

 a pre-algebra class containing 31 students, there are 18 freshmen, 10 sophomores, and 3 juniors.  What fraction of the class is

sophomores?
Your answer must be in simplest form.
​
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

10/31

Step-by-step explanation:

The fraction of the class that is sophomores

There are 10 sophomores and a total of 31 students

sophomores            10

-------------------- = ------------

total                         31

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Illusion [34]

Answer:

It's angle ABE

Step-by-step explanation:

It's supplementary because the sum of the measurements of both angles EBC and ABE is 180°

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3 years ago
1/5(2x-10)+4x=-3(1/5x+4)
borishaifa [10]
First solve to your equation by step by step.

1/5(2x-10)+4x=-3(1/5x+4)
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It will help you.
3 0
3 years ago
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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
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choli [55]

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3 years ago
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kupik [55]

Answer:

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Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

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3 years ago
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