Using the z-distribution, it is found that she should take a sample of 46 students.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
Scores on the math portion of the SAT are believed to be normally distributed and range from 200 to 800, hence, by the Empirical Rule the standard deviation is found as follows:
The sample size is n when M = 29, hence:
n = 45.67.
Rounding up, a sample of 46 students should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
51
Step-by-step explanation:
All triangles =180 degrees
180-78 = 102
Since this triangle is an isosceles triangle, that means that 2 sides are the same length, and that 2 angles are the same.
102/2 (you divide by 2 bc the angles unknown are the same measurement) and that equals 51 degrees
So this is going to be a linear equation, you can tell by seeing the growth being the same between days 15 and 20 & 33 and 38. We will be using the
format, where m = slope and b = y-intercept.
The equation to solve for the slope is
. You can use any two ordered pairs on this list. I'll be using 15 and 20.
45 is the slope.
To solve for the y-intercept, plug in 45 in the m variable and any ordered pair into the x and y variable spot. For this, I'll be using (15, 815)
Now putting the equation together (
) we can plug in 26 into the x variable and solve.
In short, the answer is B. 1,310 feet.
Answer:
f(x) = x² + 7x + 12
Step-by-step explanation:
Given that the zeros are x = - 3 and x = - 4, then the factors are
(x - (- 3)) and (x - (- 4)), that is (x + 3) and (x + 4)
f(x) is the product of the factors, that is
f(x) = (x + 3)(x + 4) ← expand using FOIL
f(x) = x² + 7x + 12
The answer is C a7
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