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Natalka [10]
3 years ago
12

the ratio of students who walked home from school to the students who ride the bus home is 2.7. The number of the bus riders is

how many times the number of students who walk home?​

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

3.5

Step-by-step explanation:

If there are 9 students total and the ratio is 2:7 for walk home to ride bus then the answer would you would divide 2 from 7 which can be written as 7/2 then you would get your answer. Plus if the question says how many times the number... that means division:).

HOPE THIS HELPS!!:)

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The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers
hichkok12 [17]

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(a) The distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable <em>X</em> is defined as the diameter of the pin and the random variable <em>Y</em> is defined as the diameter of the collar.

The distribution of <em>X</em> and <em>Y</em> is:

X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)

The random variables <em>X</em> and <em>Y</em> are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025

SD(Y-X)=\sqrt{0.00000025}=0.0005

The standard deviation of (Y - X) is 0.0005.

Thus, the distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z

*Use a <em>z</em>-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0
3 years ago
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