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aniked [119]
2 years ago
10

Simplify. 100‾‾‾‾√ 20 10 −1 −25

Mathematics
1 answer:
olga_2 [115]2 years ago
8 0

Answer:

10

Step-by-step explanation:

\sqrt{100} =\sqrt{(10)(10)}  = 10

 

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The Rocky Mountain News (January 24, 1994) indicated that the 20-year mean snowfall in the Denver/Boulder region is 28.76 inches
ycow [4]

Answer:

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

Step-by-step explanation:

20-year mean snowfall in the Denver/Boulder region is 28.76 inches. Test if the snowfall for the 1993-1994 winters has higher than the previous 20-year average.

At the null hypothesis, we test if the average was the same, that is, of 28.76 inches. So

H_0: \mu = 28.76

At the alternate hypothesis, we test if the average incresaed, that is, it was higher than 28.76 inches. So

H_1: \mu > 28.76

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

28.76 is tested at the null hypothesis:

This means that \mu = 28.76

Standard deviation of 7.5 inches. However, for the winter of 1993-1994, the average snowfall for a sample of 32 different locations was 33 inches.

This means that \sigma = 7.5, X = 33, n = 32.

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{33 - 28.76}{\frac{7.5}{\sqrt{32}}}

z = 3.2

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 33, which is 1 subtracted by the p-value of z = 3.2. In this question, we consider the standard level \alpha = 0.05.

Looking at the z-table, z = 3.2 has a p-value of 0.9993.

1 - 0.9993 = 0.0007

The p-value of the test is 0.0007 < 0.05, indicating that the the snowfall for the 1993-1994 winters was higher than the previous 20-year average.

5 0
2 years ago
Consider a sample space of three outcomes A,B,and C. Which of the following represent legitimate probability models? 
NeX [460]
Answer B & C are correct because P(A) + P(B) + P(C) add up to 1
8 0
2 years ago
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What are the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)
MissTica

Answer:

(-5 , 0) and (6 , 0)

Step-by-step explanation:

In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

we need to solve for x the equation (x-6)(x+5) = 0

(x-6)(x+5) = 0

⇌

x - 6 = 0  or  x + 5 = 0

⇌

x = 6  or  x = -5

therefore

the coordinates are :

(-5 , 0) and (6 , 0)

__________________________

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3 0
3 years ago
A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stor
QveST [7]
The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time.  For our problem, a is 16; b is 0.35 (35%=35/100=0.35).  This gives us the equation above.
7 0
3 years ago
Estimate first..then give the exact sum 72.13 + 33.14=?​
Varvara68 [4.7K]

Answer:

Estimation

72+33

= 105

Exact sum

72.13+33.14

=  105.27

Can i please get brainliest answer?

7 0
3 years ago
Read 2 more answers
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