Answer:
9) x = 5
10) x = 4
Step-by-step explanation:
a^2 + b^2 = c^2
9) 6^2 + x^2 = 8^2
- 36 + x^2 = 64
- 36 - 36
_______________
x^2 = 28
Square root them
Squareroot x^2 is x
Square root 28 is 5.29 round is 5
so x = 5
*Correct me if im wrong*
10) 3^2 + x^2 = 5^2
9 + x^2 = 25
- 9 - 9
____________________
x^2= 16
Square root them
square root of x ^2 is x and square root of 16 is 4
so x = 4
Answer:
The probability that an item selected for inspection is classified as defective is 0.01485.
Step-by-step explanation:
Denote the events as follows:
A₁ = an item produced by the company is defective.
A₂ = an item produced by the company is not defective.
X = an item is classified as defective by the inspector.
Given:
P (X|A₁) = 0.99
P (X|A₂) = 0.005
P (A₁) = 0.01
P (A₂) = 1 - P (A₁) = 1 - 0.01 = 0.99
The law of total probability states that:
![P(B)=P(B|A)P(A)+P(B|C)P(C)](https://tex.z-dn.net/?f=P%28B%29%3DP%28B%7CA%29P%28A%29%2BP%28B%7CC%29P%28C%29)
Use this law to compute the probability that an item selected for inspection is classified as defective as follows:
![P(X)=P(X|A_{1})P(A_{1})+P(X|A_{2})P(A_{2})\\=(0.99\times0.01)+(0.005\times0.99))\\=0.01485](https://tex.z-dn.net/?f=P%28X%29%3DP%28X%7CA_%7B1%7D%29P%28A_%7B1%7D%29%2BP%28X%7CA_%7B2%7D%29P%28A_%7B2%7D%29%5C%5C%3D%280.99%5Ctimes0.01%29%2B%280.005%5Ctimes0.99%29%29%5C%5C%3D0.01485)
Thus, the probability that an item selected for inspection is classified as defective is 0.01485.
We convert degrees to radian by multiplying by (
)
= (345) × (
)
= (
) × (π)
= 1.9166π
= 1.9166 × 3.14
= 6.018 rad
≈ 6.02 rad
Answer:
I believe the answer would be $39.49. If I am wrong, plz forgive me! I hope this helps.
Answer:
B) 4y - 2 - 3y = 6
Step-by-step explanation:
x = 4y - 2 Substitute this into the second solution
x - 3y = 6
4y - 2 - 3y = 6