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3 years ago

What’s the area of a circle with the diameter of 8 feet circle

1 answer:

7 0

Area equals pi r squared, and if the diameter is 8 feet, then the radius would be 4 feet. 4 squared is 16, so if you’re answering in terms of pi, it’s 16 pi but if you’re answering in terms of feet it’s about 50.27 Feet

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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]

Answer:

(a) The distribution of (Y - X) is N (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 X is defined as the diameter of the pin and the random variable Y is defined as the diameter of the collar.

The distribution of X and Y is:

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

The random variables X and Y 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 N (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 z-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

Find the equation of the line That is perpendicular to y=-2x+1 and contains the point (8,2)

skelet666 [1.2K]

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

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2 years ago

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You play video games online. When you sign up with the game site, you get 400 points. You earn 50 more points for each hour that

aleksley [76]

The answer is 12 but the way you get it is you subtract 400 from 1000 which gives you 600 then you divide 600 by 50 to get 12. So it looks like this 1000-400= 600, 600/50=12. Hope this helps. :)

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3 years ago

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Bill is planning a trip from detroit to london with a stopover in new york. his flight to new york is 2 hours long. if his stopo

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He will land in london at 1am

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3 years ago

What is the equation of a circle with center (2, -5) and radius 4?

satela [25.4K]

$Equation\ of\ circle\\\\\
r^2=(x-a)^2+(y-b)^2\\\\
a,b- \ coordinates\ of\ center\ of\ circle\\\\\
(a,b)=(2,-5)
\\\\ r-\ radius\\\\
r=4\\\\Solution:\ 4^2=(x-2)^2+(y+5)^2\\\\\

$

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3 years ago

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