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Katen [24]
3 years ago
11

Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the

day. 30 of them say no they don’t like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start.
Mathematics
1 answer:
dybincka [34]3 years ago
8 0

Answer:

75 students

Step-by-step explanation:

first write a ratio of the students asked to students dislike

40:30, 40 to 30, or 40/30

now simplify the ratio

4/3

now she asked 40 students, so we have to find out the unit rate

so we have to flip the fraction to 3/4 and then divided the top and bottom by 4

0.75/1

now multiply the top and bottom by 100

75/100

75 students

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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de
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Answer:

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65

Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

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