10P4 = 10! / (10-4)! = 10*9*8*7 = 5040
9C4 = 9! / 5! 4! = 9*8*7*6 / 4*3*2*1 = 126
8 times (4 + 5 + 7) evaluate.
8 × (4 + 5 + 7)
<span>8 × (16)
</span>128
<span>8 times (4+5+7) is 128. </span>
Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are given, respectively, by:
.
The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is <u>one subtracted by the p-value of Z when X = 4</u>, hence:


Z = 1.71
Z = 1.71 has a p-value of 0.9564.
1 - 0.9564 = 0.0436.
0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
a^2*c^2
Step-by-step explanation: im pretty sure this is it
Answer:
Trapezoid
21 is the perimeter.
24 is the area.
Step-by-step explanation:
Let's do the perimeter first, 8 + 4 = 12.
Now we have to get the side lengths. We can do this by using the Pythagoras Theorem by making an imaginary line to form a right triangle. The lengths are 2 and 4. So, 4 + 16 = 20. Square root of 20 + square root of 20 = ~9
12 + 9 = 21
21 is the perimeter.
Now, let's solve the area. The a is 4, b is 8. So 4 + 8 = 12/2 = 6. The height is 4 so 6 * 4 = 24.
24 is the area.
Hope this helped ya
:)