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Kamila [148]
3 years ago
5

Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is betwe

en 37 and 41? Round your answer to the nearest tenth of a percent.
Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

Step-by-step explanation:

We know mean u = 38  standard dev. s = 2

We want  P ( 37 < x < 41)

so

P( (37 - 38) / 2 <  Z) =  P(-0.5 < Z)  

P( Z <  (41 - 38)/2 ) =  P( Z < 1.5)

Find  P(Z < -0.5) = 0.3085

Find P(Z > 1.5) = 0.0668

so  P(-0.5 < Z < 1.5) =  1  - P(Z < -0.5) - P(Z > 1.5)

P(-0.5 < Z < 1.5) =  1  - 0.3085 -  0.0668

P(-0.5 < Z < 1.5) =  0.6247

P ( 37 < x < 41) = P(-0.5 < Z < 1.5) =  0.6247

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168/4= 42

He drives 42 Mph. 

Multiply that by 7.

42*7= 294

He drives 294 in 7 hours.

I hope this helps!
~kaikers
6 0
3 years ago
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Plisss help write the linear equation that vives the rule for this table ​
sineoko [7]

well, we know is a line,  and to get the equation of any straight line all we need is two points, hmmm let's use from the table hmm say (2 , -50) and hmmm (4 , -88)

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5 0
2 years ago
For a loan of $40,000 at 12% for 10 years, how much do you wind up paying back?
Masteriza [31]

Answer:

B . 4800

Step-by-step explanation:

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7 0
2 years ago
8/10 = z/30 what does z equal
sweet-ann [11.9K]

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3 years ago
Please answer this question now
Nataly [62]

Answer:

<h2>S = 11.4</h2>

Step-by-step explanation:

To find s we use the cosine rule

That's

s² = SU² + ST² - 2(SU)(ST) cos S

From the question

SU = 5

ST = 13

S = 60°

Substituting the values into the expression we have

s² = 5² + 13² - 2(5)(13) cos 60

s² = 25 + 169 - 130cos 60

s² = 194 - 65

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Find the square root of both sides

s= √129

s = 11.357816

We have the final answer as

<h3>s = 11.4 to the nearest tenth</h3>

Hope this helps you

3 0
3 years ago
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