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Mnenie [13.5K]
2 years ago
13

What is the approximate area of the circle shown?

Mathematics
1 answer:
Amanda [17]2 years ago
5 0

Answer:

907.46

Step-by-step explanation:

We know the area of a circle is:

\pi r^{2} \\\pi (34/2)^{2}\\17^{2} \pi \\907.46

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When climbing out of death valley Amy climbed from 256 feet below sea level to 834 feet above sea level. How far did she climb?
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The answer is J, 1,090 feet
7 0
3 years ago
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kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza. Define a variable and write an expression to represent th
Stels [109]

The total cost, if one drink costs $3 is $27.75

  • Let the cost of a pizza be x

  • Let the cost of a drink be y

If kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y

Since a pizza costs $12.75, hence x = $12.75

The function becomes 12.75 + 5y

f(y) = 12.75 + 5y

To get the total cost if one drink costs $3, hence;

f(3) = 12.75 + 5(3)

f(3) = 12.75 + 15

f(3) = 27.75

Hene the total cost, if one drink costs $3 is $27.75

Learn more on function here: brainly.com/question/9418047

7 0
2 years ago
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
50% of the cake Jenny bike last week we're party cakes 1/5 with fruit cakes and the remainder of sponge cakes what percentage of
Alik [6]
100%-1/5(20%)=80%
80%-50%=30%

7 0
3 years ago
The graph shows g(x), which is a translation of f(x) = x². Write the function rule for g(x).
mixas84 [53]

Answer:

g(x) = (x + 8)^{2}

Step-by-step explanation:

7 0
3 years ago
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