Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
<h3>
Answer: D) 1/24</h3>
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Explanation:
There are 4 digits to pick from and 4 slots to fill, so there are 4! = 4*3*2*1 = 24 different codes possible.
If we want the code to start with 371, then that must mean 5 is the only thing left for that fourth slot. In short, there's only one code that starts with 371 and that code is 3715
We have one code we want (3715) out of 24 total, which is why the answer is 1/24 (choice D)
Answer:
Step-by-step explanation:
Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a) P(X = n) = q(n-1)p, where q = 1 - p.
From the information given, probability if success, p = 12.6/100 = 0.126
b) for n = 3, the probability value from the geometric probability distribution calculator is
P(n = 3) = 0.096
For n = 5, the probability value from the geometric probability distribution calculator is
P(n = 5) = 0.074
For n = 12, the probability value from the geometric probability distribution calculator is
P(n = 12) = 0.8
c) For n ≥ 5, the probability value from the geometric probability distribution calculator is
P(n ≥ 5) = 0.58
d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.
Mean = 1/p
Mean = 1/0.126 = 7.9
Approximately 8 apples
Answer:
The answer should be A. Y= -4x -9
