Using the Central Limit Theorem, it is found that:
- The standard deviation is
.
<h3>Central Limit Theorem</h3>
- It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean
and standard deviation 
- When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:
In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:
Hence, for the distribution of differences:
To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444
Which of the following is an example of an open equation?
An open equation is an equation with at least one variable.
Therefore, 5x + 7 = 12 is an open equation.
Which of the following equations has 3 as a solution
z ‒ 15 = ‒12
z = -12 + 15 = 3
Is (1, 5) a solution to the equation y = x – 2?
5 ≠ 1 - 2
-5 ≠ -1
no
Is (–2, –6) a solution to the equation y = 3x?
-6 = 3(-2)
yes
Which of (3, 5), (4, 6), (5, 7), and (6, 8) are solutions to y = x + 2
5 = 3 + 2
6 = 4 + 2
7 = 5 + 2
8 = 6 + 2
all
Which equation would be used to generate the data in the following table?
x y
1 8
2 16
3 24
4 32
y = 8x
On a treadmill, you burn 11 calories in 1 minute, 22 calories in 2
minutes, 33 calories in 3 minutes, and so on. How many calories do you
burn in 10 minutes?
11 x 10 = 110 calories
In both cases the first step is the same. They start placing a compass on point P (which is on or off the line) and swinging an arc of any size that crosses the line twice. This creates a segment on the line that can be bisected.
Then, the steps differs for each case. In the case that the point P is on the line, a larger arc than the previous drawn is needed to be drawn from the extremes of the segment made before. In the other case, the same arc as the previous drawn is used.
The final step is also the same. This consist in connecting the intersection of the two small arcs made to point P.
Answer: Choice D
which is the log base 6 of x
====================================================
Explanation:
Since you're given a list of choices, you can plug in each x coordinate of the points shown and see what the y values are.
If you plugged x = 6 into choice A, you would end up with y = -1 but we want y = 1 instead. So choice A can be crossed off the list.
If you plugged in x = 6 into choice B, then you would get y = -2.6 approximately. So this answer won't work either.
Try x = 6 into choice C, and you'll get a division by zero error. So that can be crossed off too.
The only thing left is choice D. This function works because x = 0.5 leads to y = -0.4 approximately. Also, x = 1 and y = 0 pair up together. Similarly, the input x = 6 produces the output y = 1.
note: you may have to use the change of base formula to compute the log values. The change of base formula is log(b,x) = log(x)/log(b)
Answer:
They sold 576 chocolate shakes.
Step-by-step explanation:
Ratio of chocolate to vanilla being 6:9.
This means for each 6 + 9 = 15 shakes sold, 6 were of chocolate and 9 were of vanilla.
How many chocolate shakes did they sell?
Using proportions
6 chocolate - 15 shakes
x chocolate - 1440 shakes
They sold 576 chocolate shakes.
