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Elena L [17]
3 years ago
14

Assume a random variable x is normally distributed with mean = 90 and standard deviation = 5. Find the indicated probability.

Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Answer:

16%

Step-by-step explanation:

The indicated probability is actually the area under the standard normal curve to the left of the mean.  I used the function normalcdf( on my TI-83 Plus calculator to find this quantity:

normalcdf(-1000,85,90,5) = 0.1587.

Note #1:  This quantity (area / probability) is the area to the left of 85.

Note #2:  by the Empirical Rule, 68% of data lies within 1 s. d. of the mean, so the area between the mean (90) and the score (85) is half of 68%, or 34%.  Subtracting this from 50% (the area to the left of the mean), we get 16%, which is roughly equivalent to the 0.1587 we got earlier.  


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Tpy6a [65]

Answer:

-5/3

Step-by-step explanation:

Do PEMDAS

8 - 11 = -3

-3 ^ 3 = -27

-(-27) = 27

I-14I = 14

3 x 14 = 42

27 - 42 = -15

2^4 = 16

16 - 7 = 9

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1 year ago
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strojnjashka [21]
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3 years ago
Suppose M is the midpoint of FG. Find the missing measure.
Arlecino [84]

A midpoint divides a line segment into equal halves.

The value of x is 3.4

Given that:

FG = 11x - 15.6

MG = 10.9

Since M is the midpoint, then:

FG = 2 \times MG

So, we have:

11x - 15.6 =2 \times 10.9

11x - 15.6 =21.8

Collect like terms

11x =15.6 +21.8

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x =3.4

<em>Hence, the value of x is 3.4</em>

Read more about midpoints at:

brainly.com/question/2441957

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3 years ago
A flower shop sells tulips and roses. The price of each tulip is the same and the price of each roses the same. One customer bou
Talja [164]

Answer: it cost a customer $7.25 to buy five tulips and $10.5 to buy six roses.

Step-by-step explanation:

Let x represent the cost of 1 tulip.

Let y represent the cost of 1 rose.

The price of each tulip is the same and the price of each roses the same. One customer bought seven tulips and nine roses for $25.90. This means that

7x + 9y = 25.9 - - - - - - - - - - - - - - 1

Another customer bought for four tulips and eight roses for $19.80. This means that

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Answer:

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