<h3>
Answer: 9</h3>
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Work Shown:
a = unknown = leg #1
b = 12 = leg #2
c = 15 = hypotenuse
Plug those values into the pythagorean theorem and solve for 'a'
a^2 + b^2 = c^2
a^2 + (12)^2 = (15)^2 .... substitution
a^2 + 144 = 225
a^2 = 225 - 144 ... subtracting 144 from both sides
a^2 = 81
a = sqrt(81) .... applying square root to both sides
a = 9
Answer:
D. -2
Step-by-step explanation:
The zero of a function is always along the x-axis and in this case that's -2.
Hope this helps :)
Using the normal distribution, it is found that 7.64% of of sample means are greater than 8.8 hours.
<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
.
The parameters are given as follows:

The proportion of sample means greater than 8.8 hours is <u>one subtracted by the p-value of Z when X = 8.8</u>, hence:

By the Central Limit Theorem


Z = 1.43
Z = 1.43 has a p-value of 0.9236.
1 - 0.9236 = 0.0764.
7.64% of of sample means are greater than 8.8 hours.
More can be learned about the normal distribution at brainly.com/question/25800303
#SPJ1
Answer:
2.95 cans of soup
Step-by-step explanation:
A large can of soup contains 19 fl oz A serving is about eight Oz How many Canz should you buy if you want to serve How many Cans should you buy if you want to serve 7 people
Step 1
From the above question:
1 serving = 1 Person
1 person = 8oz
7 persons = x
Cross Multiply
x = 7 × 8oz
x = 56 oz
Step 2
56 oz will serve 7 people
M
From the question also, we are told that:
19 oz = 1 can of soup
56 oz = x
Cross Multiply
19x = 56 × 1
x = 56 /19
x =2.9473684211 cans of soup
Approximately
2.95 cans of soup will serve 7 peop