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Brilliant_brown [7]
3 years ago
12

Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)

Mathematics
1 answer:
dem82 [27]3 years ago
4 0

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110)  = 1 - P(x>110)

We can find the probability that x>100 by adding  anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110)  = 1 - P(x>110)

                                = 1- 2.2%

                                = 1- .022

                                  = .978

                               = 97.8 %

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Evaluate and simplify the following complex fraction.:6/7 ÷ 3/11​
inna [77]

Answer:

3  7/50

Step-by-step explanation:

so you need them to become common denominators

a common multiple they both have would be is 77

6/7 becomes 66/77 and 3/11 becomes 21/77

now we divide

keep the 66/77 as is and flip 21/77 (keep, change, flip)

so now our equation looks like this: 66/77 x 77/21

and your answer is 3.14

but as a fraction it is 157/50 and to simplified it would be 3 7/50 (mixed fraction)

3 0
2 years ago
NEED HELP NOW I have 31 stamps total. I have 4 more 1-cent stamps than 8-cent stamps and twice as many one cent stamps as 12 cen
krek1111 [17]

x = number of 1-cent stamps

y = number of 8-cent stamps

z = number of 12-cent stamps

We have 31 stamps all together, so x+y+z = 31.

"I have 4 more 1-cent stamps than 8-cent stamps" means we have the equation x = y+8. Whatever y is, add 8 to it to get x. Solve for y to get y = x-8.

You also have "twice as many one cent stamps as 12 cent stamps", so x = 2z. Solving for z gets you z = 0.5x

-------------

x+y+z = 31

x+x-8+z = 31 ... y replaced with x-8

x+x-8+0.5x = 31 ... plug in z = 0.5x

2.5x-8 = 31

2.5x = 31+8

2.5x = 39

x = 39/2.5

x = 15.6

Your teacher made a typo somewhere because we should get a positive whole number result for x (since x is a count of how many 1-cent stamps we have).

8 0
3 years ago
What is the correct order of these numbers ... 5/6, 12/13, 0.8
Ratling [72]
0.8 4/6 12/13 I think
6 0
3 years ago
Read 2 more answers
The population of a town doubled every 5 years from 1960 to 1975. What is the percentage increase in population in this period ?
777dan777 [17]

Answer:

<h2>800%</h2>

Step-by-step explanation:

Let p represent the population

in 1965 → the population becomes 2p

in 1970 → the population becomes 2(2p) = 4p

in 1975 → the population becomes 2(4p) = 8p

 p  ——————> 100%

8p  ————-—-> x%

then

x=\frac{8p*100}{p}=800

5 0
3 years ago
Please answer the questions. Thank you!
aliya0001 [1]
The perimeter would be 16 ft. The area would be 16 ft as well.
3 0
3 years ago
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