Good morning☕️
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Answer:
w is the width
L is the length
p is the perimeter
w=9
L=27
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Step-by-step explanation:
p=2[(L-4) + (w+1)]
⇔p=2[(3w-4) + (w+1)]
⇔p=2[4w-3]
⇔p=8w-6
⇔66=8w-6
⇔8w=72
⇔w=9
Then L=3w=27
:)
Using the normal distribution, there is a 0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
<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.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation .
Researching this problem on the internet, the parameters are given as follows:
The probability is <u>one subtracted by the p-value of Z when X = 157</u>, hence:
By the Central Limit Theorem
Z = (157 - 150)/2.85
Z = 2.46
Z = 2.46 has a p-value of 0.993.
1 - 0.993 = 0.007.
0.007 = 0.7% probability that the mean score for 10 randomly selected people who took the LSAT would be above 157.
More can be learned about the normal distribution at brainly.com/question/15181104
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Answer: and the answer is 2x + 7
Step-by-step explanation:
as it is a polynomial in one variable, it has only one solution.
Hope it helped u,
pls mark as the brainliest
^_^
Answer:
8x - 7y = 56
Step-by-step explanation:
in order for lines to be parallel they need to have the same slope, the easiest way to determine if they have the same slope is to change the equations into y = mx + b form by solving for y and seeing where m=8/7
so 8x - 7y = 56
-7y = 56 - 8x
y = 56/-7 -8x/-7
y = -8 + 8/7 x