Answer:
Below.
Step-by-step explanation:
Finding the hypotenuse:
Recall the formula of Pythagoras'theorem,
- (Hypotenuse)² = (Base)² + (Perpendicular)²
Given that base = 8 and perpendicular = 15
Plugging the values,we obtain
- H² = 8² + (15)²
- H² = 64 + 225
- H² = 289
- H = √(17*17)
- H = 17
Now applying trigonometric functions:
Recall SOHCAHTOA , it's very helpful.
Sin θ = Sin A = Opposite/Hypotenuse
cos θ = cos A = Adjacent/Hypotenuse
Tan θ = tan A = Opposite/Adjacent
Note: The values in decimal are rounded to nearest hundredth.
Answer:
198 is the variance for the number of defective parts made each week.
Step-by-step explanation:
We are given the following in the question:
Number of parts produced each week = 20,000
Percentage of defective parts = 1%
We have to calculate the variance for the number of defective parts made each week.
We treat defective part as a success.
P(Defective part) = 1% = 0.01

Then the number defective parts follows a binomial distribution
.
Formula for variance =

Thus, 198 is the variance for the number of defective parts made each week.
We are given statement " John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel".
Let us assume total number of pages of a novel = p pages.
3 less than 1/3 of total pages = 114.
3 less then 1/3 of P is = 114.

<h3>Therefore, required equation for number of pages of a novel is </h3><h3>

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