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Ira Lisetskai [31]
3 years ago
13

24 students in a class took a math test. If 18 students passed the test, what percent passed?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

75%

Step-by-step explanation:

24 x 0.75 (75% as a decimal) = 18

Tems11 [23]3 years ago
3 0

Answer:

18 students is the amount that passed the test

so the fraction would be 18/24, which can be simplified to 3/4, which is 75% of the class.

75% of the class passed

0.75% of the class passed

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The lengths of lumber a machine cuts are normally distributed with a mean of 100 inches and a standard deviation of 0.3 inch. ​(
ki77a [65]

Answer:

a) 0.345

b) 0.005

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 0.3

We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(length greater than 100.12 ​inches)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.3}) = P(z > 0.4)

= 1 - P(z \leq 0.4)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.655 = 0.345 = 34.5\%

b) Standard error due to sampling:

\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{41}} = 0.0468

P(length greater than 100.12 ​inches for the sample)

P(x > 100.12)

P( x > 100.12) = P( z > \displaystyle\frac{100.12 - 100}{0.0468}) = P(z > 2.564)

= 1 - P(z \leq 2.564)

Calculation the value from standard normal z table, we have,  

P(x > 100.12) = 1 - 0.995 = 0.005

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4 years ago
Which set of expressions is not equivalent?
Anna11 [10]

Answer:

no

Step-by-step explanation:

7 0
3 years ago
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