Answer:
A
Step-by-step explanation:
3x 2/6 is 1 and if you put all the shaded blocks together for A, you will get 1 whole
The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b
y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.
-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.
The final perpendicular equation would be y=3x-19
Answer:
a) 0.4352
b) 0.5165
c) 0.0813
Step-by-step explanation:
In this problem we have 3 defective parts scattered among 15 parts.
We are going to select 3 out of 15 without replacement, so the situation can be modeled with the Hypergeometric distribution.
If X is the random variable that measures the number of defective parts in a sample of 3, the probability of selecting exactly k defective parts out of 15 would be given by
a) what is the probability that the inspector finds exactly one nonconforming part?
Replacing k with 1 in our previous formula, we get
b) what is the probability that the inspector finds at least one nonconforming part?
This would be P(X=1)+P(X=2)+P(X=3) = 1 - P(X=0).
so 1 - P(X=0) = 1 - 0.4835 = 0.5165
c) what is the probability that the inspector finds at least two nonconforming part?
P(X=2) + P(X=3) = 1 - (P(X=0) + P(X=1)) = 1 - (0.4835 + 0.4352) =
= 1 - 0.9187 = 0.0813
Answer:
D. 1080°
Step-by-step explanation:
Sum=(n-2)x180°
(8-2)x180°
6x180°
1080°
Hope it helps ❤
Multiply the area of the circle by the percentage:
60 square units x 50% = 60 x 0.50 = 30
50% 0f the circle id 30 square units.