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grandymaker [24]
3 years ago
12

Find the quotient 7/9 divided by 5/6

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0
7/9 divided by 5/6 = 14/15
in decimal for it would be 0.93
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Assume that X is normally distributed with a mean of 20 and a standard deviation of 2. Determine the following. (a) P(X 24) (b)
Tems11 [23]

Answer:

a) P( X < 24 ) =  0.9772

b) P ( X > 18 ) =0.8413

c) P ( 14 < X < 26) = 0.9973

d)  P ( 14 < X < 26)  = 0.9973

e) P ( 16 < X < 20)  = 0.4772

f) P ( 20 < X < 26)  =  0.4987

Step-by-step explanation:

Given:

- Mean of the distribution u = 20

- standard deviation sigma = 2

Find:

a. P ( X  < 24 )

b. P ( X  > 18 )

c. P ( 18 < X  < 22 )

d. P ( 14 < X  < 26 )

e. P ( 16 < X  < 20 )

f. P ( 20 < X  < 26 )

Solution:

- We will declare a random variable X that follows a normal distribution

                                   X ~ N ( 20 , 2 )

- After defining our variable X follows a normal distribution. We can compute the probabilities as follows:

a) P ( X < 24 ) ?

- Compute the Z-score value as follows:

                                   Z = (24 - 20) / 2 = 2

- Now use the Z-score tables and look for z = 2:

                                   P( X < 24 ) = P ( Z < 2) = 0.9772

b) P ( X > 18 ) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

- Now use the Z-score tables and look for Z = -1:

                    P ( X > 18 ) = P ( Z > -1) = 0.8413

c) P ( 18 < X < 22) ?

- Compute the Z-score values as follows:

                                   Z = (18 - 20) / 2 = -1

                                   Z = (22 - 20) / 2 = 1

- Now use the Z-score tables and look for z = -1 and z = 1:

                   P ( 18 < X < 22)  = P ( -1 < Z < 1) = 0.6827

d) P ( 14 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (14 - 20) / 2 = -3

                                   Z = (26 - 20) / 2 = 3

- Now use the Z-score tables and look for z = -3 and z = 3:

                   P ( 14 < X < 26)  = P ( -3 < Z < 3) = 0.9973

e) P ( 16 < X < 20) ?

- Compute the Z-score values as follows:

                                   Z = (16 - 20) / 2 = -2

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = -2 and z = 0:

                   P ( 16 < X < 20)  = P ( -2 < Z < 0) = 0.4772

f) P ( 20 < X < 26) ?

- Compute the Z-score values as follows:

                                   Z = (26 - 20) / 2 = 3

                                   Z = (20 - 20) / 2 = 0

- Now use the Z-score tables and look for z = 0 and z = 3:

                   P ( 20 < X < 26)  = P ( 0 < Z < 3) = 0.4987

8 0
3 years ago
Rachel earned \$34$34 in 44 hours at her job today. She wants to know how much she could earn (e)(e) tomorrow if she works 1010
kari74 [83]

Answer:

<em>Rachel will earn $85 in 10 hours.</em>

Step-by-step explanation:

Rachel earned $34 in 4 hours at her job today.

Suppose, she will earn x dollar in 10 hours tomorrow.

So, <u>according to ratio of 'dollar' and 'hours'</u>, the equation will be.....

\frac{34}{4}=\frac{x}{10}

After cross multiplying, we will get.....

4x= 34*10\\ \\ 4x= 340\\ \\ x=\frac{340}{4}=85

Thus, Rachel will earn $85 in 10 hours.

6 0
2 years ago
Read 2 more answers
Angle S and angle T form a linear pair if measurement of angle S equals 5X +9 and measurement of angle T equals 3X +11 find the
vampirchik [111]
Linear pair angles have too add to 180, so

5x+9+3x+11=180
8x+20=180
8x=160
x=20

so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
6 0
2 years ago
Which of these numbers of simulations of an event would be most likely to produce results that are closest to those predicted by
LuckyWell [14K]
<span>C. 80 simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increase, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.</span>
6 0
3 years ago
Read 2 more answers
What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
vaieri [72.5K]

Answer:First three terms: 11,20,29 .

Step-by-step explanation:

Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).

I hope this is right

3 0
3 years ago
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