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love history [14]
3 years ago
5

A playground basketball court 9ft long and 46ft wide is to be resurfaced at a cost of $3.25 per sq ft. What will the resurfacing

cost?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

first u multiply 94 ft times 46 ft to get the area. U get 4324. Next u multiply that by 3.25 to get the resurfacing cost

The answer is $14053.

Hope that helps!

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Assume that adults have IQ scores that are normally distributed with a mean of 96.296.2 and a standard deviation 20.520.5. Find
Sergeeva-Olga [200]

Answer:

The first quartile of the IQ scores of adults is 82.26.

Step-by-step explanation:

The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.

The formula to compute the first quartile (Q₁) of a Normal distribution is:

Q_{1}=\mu-0.68\sigma

The mean and standard deviation of the IQ scores of adults are:

\mu=96.2\\\sigma=20.5

Compute the first quartile value as follows:

Q_{1}=\mu-0.68\sigma=96.2-(0.68\times20.5)=82.26

Thus, the first quartile of the IQ scores of adults is 82.26.

5 0
3 years ago
Find the measurements
Elanso [62]

Answer:

angle 2=120°

angle 1=60

Step-by-step explanation:

70+50=120

or

180-(70+50)=60

angles on a straight line add up to 180°

180-60=120

3 0
2 years ago
Two positive numbers have a difference of 8 and a product of 33. What are these numbers?
valina [46]

Answer:

3 and 11

Step-by-step explanation:

3 times 11 is 33

11 - 3 is 8

4 0
3 years ago
A particular psychological test is used to measure need for achievement. The average test score for all university students in O
Angelina_Jolie [31]

Answer:

Only B and C are always true.

Step-by-step explanation:

To analyse which statements are always true, we go through the process of finding confidence intervals for sample means, from the start.

Confidence Interval = (Sample mean) ± (Margin of error)

From this expression, it is evident that the margin of error determines how wide the confidence interval would be.

Sample Mean = 110 (given)

Margin of Error = (Critical value) × (Standard deviation of the distribution of sample means)

Since no information about the population standard deviation is provided, the critical value is obtained using t-distribution.

The critical value usually varies at different confidence levels and degree of freedoms.

The higher the confidence level, the higher the critical value and the higher the margin of error leading to a wider range.

Hence, a confidence interval of 95% will have a higher critical value than a confidence interval of 90%. Hence, statement C is proved once that 'for n = 100, the 95% confidence interval will be wider than the 90% confidence interval'.

After obtaining the critical value, we then obtain the standard deviation of the distribution of sample means or simply the standard error of the mean. This is given as

σₓ = σ/√n

where σ = standard deviation; which isn't given. The standard deviation might be high enough to guarantee that the Margin of error is high too for the confidence interval to contain 115 or low enough to ensure that the Margin of error is very small and the confidence interval will not contain 115.

Or the sample size might be high enough to make the standard error of the mean to be eventually small and lead to a small margin of error and the condidence interval will not contain 115.

The point is, it isn't always sure that the resulting interval.would contain 115. So, statement A isn't always true.

Then from σₓ = σ/√n,

n = sample size, a large sample size means a more narrow confidence interval and a small sample size means a wider sample size. This proves statement C.

The 95% confidence interval for n = 100 will be more narrow than the 95% confidence interval for n = 50.

Hence, Only B and C are always true.

Hope this Helps!!!

5 0
3 years ago
The circumcenter is the center of the. circle
erma4kov [3.2K]

The circumcenter is the center of the circle which goes through the triangle's vertices, so the circumcenter of the triangle and the center of that circumscribed circle MUST be the same point.

The same goes for the incenter and the center of the inscribed circle, though these will not, in general, be the same point as the circumcenter.

4 0
2 years ago
Read 2 more answers
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