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san4es73 [151]
4 years ago
12

The GMAC Insurance company reported that the mean score on the National Drivers Test was 69.9 with a standard deviation of 3.7 p

oints. The test scores are approximately bell-shaped. Approximately 68% of all test scores were between two values A and B. What is the value of A? Write only a number as your answer. Round to one decimal place.
Mathematics
1 answer:
kkurt [141]4 years ago
7 0

Answer:

  66.2

Step-by-step explanation:

We know that the middle 68% of the distribution is between -1 and +1 standard deviations from the mean. -1 standard deviation is a score of ...

  69.9 - 3.7 = 66.2

_____

<em>Comment on the question</em>

The way the question is worded, "A" can be any value less than 68.1, down to -∞. The question does does not require the A-B range to be symmetrical.

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Evaluate the line integral ∫cf⋅dr, where f(x,y,z)=5xi−4yj+3zk and c is given by the vector function r(t)=⟨sint,cost,t⟩, 0≤t≤3π/2
Katena32 [7]

WIth the parameterization

\mathbf r(t)=\langle\sin t,\cos t,t\rangle

we end up with

\mathbf f(\mathbf r(t))=\mathbf f(\sin t,\cos t,t)=5\sin t\,\mathbf i-4\cos t\,\mathbf j+3t\,\mathbf k

We also have

\mathrm d\mathbf r=\mathbf r'(t)\,\mathrm dt=\langle\cos t,-\sin t,1\rangle\,\mathrm dt

So in the line integral, we get

\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=3\pi/2}\mathbf f(\mathbf r(t))\cdot\mathbf r'(t)\,\mathrm dt

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8 0
3 years ago
The radius of Earth is 6,378.1 km, which is 18,983.9 km less than the radius of Uranus. Find the radius of Uranus.
Anton [14]
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4 0
3 years ago
HELP!!! I WILL GIVE BRAINY!!!
RideAnS [48]

Answer:

C

Step-by-step explanation:

In the attached file

6 0
3 years ago
Read 2 more answers
Can someone help me? I'm lost.
KengaRu [80]
First step is to find R
use The equation QR =43

R=43/Q
now since we have R plug that into PR= 9x - 31

P(43\Q) = 9x - 31
P43/QP +31 =9x
9x=P43÷QP +31
x=P43÷QP+31 /9

Since the question doesnt specify to leave the question in terms of P or Q i suppose this is the final answer

Hope this helps! xD
would not mind if you put it as the brainliest answer
3 0
4 years ago
At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total
kolbaska11 [484]

Answer:

A bag of chips costs $1

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Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

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4 0
4 years ago
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