PLEASE HELP!! look at the image below
1 answer:
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Answer:
The p -value is less than 0.001.
Step-by-step explanation:
Given information:
Sample size = 25 chips
Sample mean = 985
Sample standard deviation = 10
Let as assume that sample is distributed normally.
The formula for test statistic
where,
is sample mean
μ is population mean.
s is sample standard deviation.
n is sample size.
The value of test statistic is
The p-value is
Therefore the p -value is less than 0.001.
x = 3/2
Step-by-step explanation:
Given equation is:
As we have to solve for x, x will be isolated on one side of the equation
So,
<u>1. Addition property of equality </u>
4x will be added on both sides
<u>2. Division property of Equality</u>
Dividing both sides by 6
Hence,
x = 3/2
Keywords: Linear equation, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer: 66 degrees
Explanation:
Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.
Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees
Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.
So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x
x+24 = 90
x+24-24 = 90-24
x = 66
That is why angle CDE is 66 degrees
