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WARRIOR [948]
2 years ago
15

The price of a gallon of gasoline increased from 2.50 a gallon to 2.75 a gallon what was the percent increase

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
8 0
The increase in price was 10%
2.5*.1=.25
2.5+.25=2.75
hope this helps
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In order to ensure efficient usage of a server, it is necessary to estimate the mean number
juin [17]

Answer:

a. [36.19;39.21]

b. Reject the null hypothesis. The population mean of users that are connected at the same time is greater than 35.

Step-by-step explanation:

Hello!

Your study variable is,

X: "number of users of one server at a time"

The objective is to estimate the mean, for this, a sample of n=100 times was taken and the standard deviation S= 9.2 and the sample mean is X[bar]= 37.7 were calculated.

You need to study the population mean, for this you need your variable to have at least normal distribution. Since you don't have information about its distribution, but the sample is big enough (n≥30) you can apply the Central Limit Theorem and approximate the distribution of the sample mean X[bar] to normal:

X[bar]≈N(μ;σ²/n)

a. With this approximation, you can construct the 90% Confidence Interval using the approximate Z

[X[bar] ± Z_{1-\alpha /2} * S/√n]

Z_{1-\alpha /2} = Z_{0.95} = 1.64

[37.7± 1.64* 9.2/√100]

[36.19;39.21]

b. You need to test if the population mean is greater than 35 with a level of significance of 1%.

The hypothesis is:

H₀: μ ≤ 35

H₁: μ > 35

α: 0.01

This is a one-tailed test so you have only one critical level (right tail):

Z_{1\alpha } = Z_{0.99} = 2.33

This means that if the value of the calculated statistic is equal or greater than 2.33 you will reject the null Hypothesis.

If the value is less than 2.33 you will support the null hypothesis.

The statistic is:

Z=<u> X[bar] - μ </u>= <u> 37.7 - 35 </u> = 2.93

       S/√n           9.2/10

The value 2.93 > 2.33, so you reject the null hypothesis. This means that the population mean of users that are connected at the same time is greater than 35.

<u><em>Note: </em></u><em>To make the decision using the interval calculated on a), the hypothesis should have been two-tailed and the confidence and significance levels complementary.</em>

I hope it helps!

7 0
3 years ago
in sports club there are 800 members . the ratio of soccer members to social members is 5to 3 how many soccer players are there
attashe74 [19]
5:3

5+3=8
8 units

800=8 units
divide oth sides by 8
100=1 units

soccer=5 units=5 times 100=500
social=3 units=3 times 100=300



500 soccer players

5 0
2 years ago
For the functions f and g, find (f o g)(8). f(x) = 17x^2 - 10x, g(x) = 9x - 9
Andreyy89

Hey mate. Here is your answer.

Set up the composite function and evaluate.

g (17x^2 - 10x) = 153x^2 - 90x - 9

Hope this helps.

5 0
3 years ago
A set of n = 15 pairs of X and Y scores has SSX = 10, SSY = 40, and SP = 30. What is the slope for the regression equation for p
Mumz [18]

Answer:

3

Step-by-step explanation:

We have given SS_X=10, SS_Y=40 and SP =30

We have to find the slope for regression on Y from X

The slope on Y from X is given by b_{yx}=\frac{SP}{SS_X}

As we have given the value of SP =30 and value of SS_X=10

So slope for regression will be b_{yx}=\frac{30}{10}=3

3 0
3 years ago
What’s the answer cgubgfgvvvv
AURORKA [14]
The answer is 75! Explanation, use the distance formula
5 0
3 years ago
Read 2 more answers
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