Answer:
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 2.064
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29
The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.
The 90% confidence interval for the mean test score is between 77.29 and 85.71.
The correct answer is B.
Determine and recall first the trigonometric functions:
Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent
If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z.
Use this test to answer:
Sin Y = Y/X
where:
Y = opposite
X = hypotenuse
Cos (90 - y) = cos (90 - 50) = cos 40
where Z = 40
we look for cos Z = Y/X
Therefore,
Sin Y = Cos (90 - Y)
Answer:
x = -7
Step-by-step explanation:
Recall this rule of exponents:
a^b*a^c = a^(b+c)
We have:
6^9*6^x = 6^2
Then 9 + x = 2. Subtracting 9 from both sides, we get: x = -7
The correct answer is Option A , D , E.
<h3>
What is meant by ratio?</h3>
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.
<h3>
What is meant by ratio in simplest form?</h3>
Ratio in it's simplest form means when the ratio can't be simplified anymore by cancelling out the common factors.
The ratio in Option(A) can't be simplified anymore because 29 is a prime number.
The ratio in Option(B) can be simplified to 1 / 7.
The ratio in Option(C) can be simplified to 5 / 2.
The ratio in Option(D) can't be simplified.
The ratio in Option(E) can't be simplified because 19 is prime number.
Hence, the correct answer is Option A , D , E.
Learn more about ratios on:
brainly.com/question/2328454
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Answer:
I just found it out, 200 Student tickets were sold.
