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Lorico [155]
3 years ago
9

Please help ASAP........

Mathematics
1 answer:
Ronch [10]3 years ago
6 0
55 I think is correct
You might be interested in
A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a stand
Art [367]

Answer:

b. Mean = 1.6 years, standard deviation - 0.92 years, shape: approximately Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal Variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

A consumer group has determined that the distribution of life spans for gas ranges (stoves) has a mean of 15.0 years and a standard deviation of 4.2 years. Sample of 35:

This means that:

\mu_G = 15

s_G = \frac{4.2}{\sqrt{35}} = 0.71

The distribution of life spans for electric ranges has a mean of 13.4 years and a standard deviation of 3.7 years. Sample of 40:

This means that:

\mu_E = 13.4

s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of the difference in mean life span of gas ranges and electric ranges?

Shape is approximately normal.

Mean:

\mu = \mu_G - \mu_E = 15 - 13.4 = 1.6

Standard deviation:

s = \sqrt{s_G^2+s_E^2} = \sqrt{0.71^2+0.585^2} = 0.92

So the correct answer is given by option b.

8 0
3 years ago
Please help 60 points!!
Katen [24]

Answer:

The answer to your question is FJ = 18

Step-by-step explanation:

Data

FG = 30

FH = 12

HE = 8

JH ║GE

These triangles are similar, so we can use proportions to find the length of FJ.

                            \frac{FJ}{FH} = \frac{FG}{FH + HE}

Substitution

                          \frac{FJ}{12} = \frac{30}{12 + 8}

Simplification

                         \frac{FJ}{12} = \frac{30}{20}

Solve for FJ

                        FJ = 12 \frac{30}{20}

Result

                        FJ = 18

4 0
3 years ago
Read 2 more answers
I’ll mark you as brainliest
Lapatulllka [165]

Step-by-step explanation:

1) -5n+10n

= 5n

2) -x-9+2x-10

= 2x-x-9-10

= x-19

3) -5(x-10)-x

= -5x+50-x

= -6x+50

4) 9-5(1-7x)

= 9-5+35x

= 35x+4

5) y^2-x

= 3^2-2

= 9-2

= 7

Do the remain questions by yourself, you can do it!

8 0
2 years ago
Susan has completed 30 math problems, which is 3/5 of her homework assignment. How many problems were assigned for homework?
taurus [48]
50 problems were assigned <span />
6 0
3 years ago
What is the radius, in centimeters, of a circle that has a circumference of 16pi centimeters? (10 points)
Salsk061 [2.6K]
I believe the answer is 8
8 0
3 years ago
Read 2 more answers
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