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3 years ago

Explain your answer !! Have a nice day

Mathematics

2 answers:

exis [7]3 years ago

7 0

(-3,-1) -3(2.5y-0.5)+2y=7

mash [69]3 years ago

4 0

Answer:

(-3,-1)

Step-by-step explanation:

you can solve this by using elimination.

make the first equation in terms of x by adding 5y to each side and dividing by 2. this will give you x= 2.5y - 0.5.

now substitute this equation into the second one. this will give you:

-3(2.5y - 0.5) + 2y = 7

you solve this for y which will give you y = -1

now that you have the y value you can substitute this in the first equation to get: 2x - 5(-1) = -1

you solve this for x which will give you x = -3

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The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

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

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

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

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

3 years ago

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was

marysya [2.9K]

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, $\overline {X}_1$ = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, $\overline {X}_2$ = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

$Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }$

H₀: $\overline {X}_1$ ≠ $\overline {X}_2$

H₁: $\overline {X}_1$ = $\overline {X}_2$

$Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923$

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

3 0

3 years ago

F(x)=x^2. What is g(x)?

mezya [45]

Answer:

Step-by-step explanation:

TRUST.

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6 0

3 years ago

Write the addition or subtraction shown by the number line

disa [49]

Start at 4.

So far you have: 4

Now you go 7 units left. Going left means a subtraction. Going 7 units left means subtracting 7.

So far you have: 4 - 7

The result is -3.

The subtraction is:

4 - 7 = -3

5 0

3 years ago

Lickety Sweet's Candy Store sells candy by the ounce. Maura paid $3.48 for a 12-ounce bag of hard watermelon candies and $1.28 f

brilliants [131]

Answer:

The Watermelon candies cost 13 more cents then the chocolate.

Step-by-step explanation:

$3.48 divided by 12 is 29 cents

$1.28 divided by 8 is 16 cents

Subtract 16 from 29 and get 13

6 0

3 years ago

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