Please help me and please show good answers
2 answers:
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Answer:
A sample size of at least 228 must be needed.
Step-by-step explanation:
We are given that in the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $61,238. Assume that the standard deviation is $3850.
And we have to find that what sample size do we need to have a margin of error equal to $500 with 95% confidence.
As we know that the Margin of error formula is given by;
<u>Margin of error</u> =
where, = significance level = 1 - 0.95 = 0.05 and
= 0.025.
= standard deviation = $3,850
n = sample size
<em>Also, at 0.025 significance level the z table gives critical value of 1.96.</em>
So, margin of error is ;
= 15.092
Squaring both sides we get,
n = = 227.8 ≈ 228
So, we must need at least a sample size of 228 to have a margin of error equal to $500 with 95% confidence.
Answer:
Step-by-step explanation:
<u>Right Triangles</u>
Right triangles have one of its interior angles with a measure of 90°.
In right triangles the Pythagora's Theorem is satisfied.
Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:
We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.
This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:
The correct question is:
The graph attached shows the number of points Derek scored
during his first five basketball games.
Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).
Answer:
Multiplication equation is y = 3x
Division equation is x = y/3
Step-by-step explanation:
During Game 1, Derek had 6 points
Let x be this point, that is
x = 6
During Game 4, he had 18 points
Let y be this point, that is
y = 18
Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)
This can be written mathematically as
18 = 6 × 3
y = x × 3 (where y is 18, and x is 6)
y = 3x (this is multiplication equation)
If you divide both sides by 3, we have
x = y/3 (this is the division equation)
