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4 years ago

14

Normal distribution has a mean of 101 and a standard deviation of 10. find probability that value selected at random is at most

121

1 answer:

Alex_Xolod [135]4 years ago

4 0

A probability app or table will tell you the probability of Z ≤ 2 is 0.97725.

_____

Your value of 121 is 2 * 10 = 2 standard deviations above the mean of 101.

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**WORTH 30 POINTS** [ the sum of x and 16 is greater than or equal to 32. ]

Artyom0805 [142]

Answer:

Inequality: x+16 ≥ 32

Solution: x ≥ 16

Step-by-step explanation:

the sum of x and 16

x+16

is greater than or equal to

x+16 ≥

x+16 ≥ 32

Subtract 16 from each side

x+16-16 ≥ 32-16

x ≥ 16

5 0

2 years ago

The front of an A-frame cottage has the shape of an isosceles triangle. It stands 23 feet high and is 15 feet wide at its base.

amm1812

Answer:

The angle of elevation is 71.94 degrees.

Step-by-step explanation:

We are given the following in the question:

The front of an A-frame cottage has the shape of an isosceles triangle.

Height,h = 23 feet

Base,b = 15 feet

We have to find the angle of elevation of its roof.

The attached image shows the structure.

We use the relation,

$\tan \theta = \dfrac{h}{\frac{b}{2}}\\\\\tan \theta = \dfrac{23}{7.5}\\\\\tan \theta = 3.067\\\theta = \tan^{-1}3.067 = 71.94^\circ$

Thus, the angle of elevation is 71.94 degrees.

4 0

3 years ago

Y = 2x + 8 what is the slope or y intercept ?

alisha [4.7K]

Slope is 2 and Y int is 8

3 0

2 years ago

Read 2 more answers

Tamara has 20000. If 4/5 of what Tamara has equals 8/9 of what Martina has, how much does Martina have

lilavasa [31]

Answer:

Martina has 18,000

Step-by-step explanation:

Set up the 4/5 the amount Tamara has as a proportion. 4/5 = x/20000
Then cross multiply
4 * 20,000 = 80,000
80,000 = 5x
Divide and get 16,000 (This is 4/5 of what Tamara has)
Set up what Martina has as a proportion. 8/9 = 16,000/x
Cross multiply 8x = 16,000 * 9
8x = 144,000
Divide by 8
18,000 :)

7 0

3 years ago

Deon does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least

LenKa [72]

Answer:

see attached

Step-by-step explanation:

The line at the lower left of the shaded region is x+y=12. The shaded area is above that line because is represents a minimum amount of exercise.

7 0

3 years ago