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Klio2033 [76]
3 years ago
8

What is the answers?

Mathematics
1 answer:
34kurt3 years ago
6 0
Cos theta would be (adjacent side) / (hypotenuse), or 8/29.  

Thus, the angle theta would be the inverse cosine of 8/29, which is 

1.291 radians or 73.987 degrees.

Given this result, just take the sine of this angle.
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Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evalua
Strike441 [17]

Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5

Then, the probability of getting a average score of 79 or higher is:

P(X>79)=P(z>-0.5)=0.69146

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

6 0
3 years ago
What to the tenth power can get you 300
OLEGan [10]

Answer:

1.7689 (rounded to 4 decimal places)

Step-by-step explanation:

Let the number we are seeking be "x", thus we can write the equation as:

x^{10}=300

Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:

x^{10}=300\\\sqrt[10]{x^{10}} =\sqrt[10]{300} \\x=\sqrt[10]{300} \\x=1.7689

hence, 1.7689 raised to 10th power will give us 300

5 0
3 years ago
Please help with this one question that I've been stuck on!!! In a random sample of 74 homeowners in a city, 22 homeowners said
sammy [17]
Niki MANAJ lolllllllll
3 0
3 years ago
A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.
viktelen [127]
\frac{24}{2}=\\12\\\\V=\frac{1}{3}\pi r^2h=\\V=\frac{1}{3}(3.14)(12)^2(3)=\\V=452.16
3 0
3 years ago
Read 2 more answers
A cinema has three screens . last saturday there were 500 visitor . 40% went to screen 1 . 25% went to screen 2. The rest went t
Butoxors [25]

Answer:

Screen 1: 200, Screen 2: 125 , Screen 3: 175

Step-by-step explanation:

Screen 1

Multiply 40% and 500

Convert 40% to a decimal

40/100=0.40

500*0.40

200

Screen 2

Multiply 25% and 500

Convert 25% to a decimal

25/100=0.25

500*0.25

125

Screen 3

Subtract the amount of people that went to screens 1 and 2 from the total

500-200-125

175

So, Screen 1 had 200 visitors, 2 had 125 and 3 had 175

Hope this helps! :)

8 0
3 years ago
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