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Semenov [28]
3 years ago
8

Complete the equation of the line through (−10,3) (−8,−8). Use exact numbers. y=

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

y = -11/2x - 52

Step-by-step explanation:

Now follow the equation for slope: m = change in y / change in x.

\frac{y2-y1}{x2-x1}

\frac{-8-3}{-8--10}

\frac{-11}{2}

The slope is -11/2. m=-11/2

Use slope-intercept form:

y=mx+b

Plug in a point and the slope:

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

<u></u>

<u>y = -11/2x - 52</u>

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A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviat
Mnenie [13.5K]

Answer:

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

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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.

35 gas ovens

A consumer group has determined that the distribution of life spans for gas ovens has a mean of 15.0 years and a standard deviation of 4.2 years. This means that:

\mu_G = 15, \sigma_G = 4.2, n = 35, s_G = \frac{4.2}{\sqrt{35}} = 0.71

40 electric ovens.

The distribution of life spans for electric ovens has a mean of 13.4 years and a standard deviation of 3.7 years.

\mu_E = 13.4, \sigma_E = 3.7, n = 40, s_E = \frac{3.7}{\sqrt{40}} = 0.585

Which of the following best describes the sampling distribution of barXG - bar XE, the difference in mean life span of gas and electric ovens?

By the Central Limit Theorem, the 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.

3 0
3 years ago
A yogurt costs 55p how many yogurts can be brought for six pounds?
anyanavicka [17]

Answer: Well if one pound of yogurt cost 55 (cents)


Step-by-step explanation:

Two yogurts cost $1.10

Three yogurts cost $1.65

Four yogurts cost $2.20

Five yogurts cost $2.75

And finally...

Six yogurts cost $3.30



Hope this helps! :)


6 0
3 years ago
Pleaseeee help me solve this question
evablogger [386]

Answer:

y=\frac{-2}{3}x +1

Step-by-step explanation:

Rise over Run method, and the y-intercept is +1

5 0
3 years ago
Yeah uh I have no idea how to do this.....
Liula [17]

Answer:

9b /a^5/2

Step-by-step explanation:

9√(a^-5 b^2)

9 sqrt( a^ -5 b^2)

Rewriting sqrt as ^1/2

9 ( a^ -5 b^2)^1/2

9 ( a^ -5) ^1/2 ( b^2)^1/2

we know that  an exponent to an exponent means multiply

9 a^ (-5*1/2)  b^(2*1/2)

9 a^-5/2 b^1

9b a^ -5/2

We know that x^-y = 1/x^y

9b /a^5/2

4 0
2 years ago
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Feliz [49]

Answer:

7(2x - 3y)

Step-by-step explanation:

Take out what they both have, put it on the outside.

Put the rest on the inside.

8 0
2 years ago
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