Answer:
d. 99.9%
Step-by-step explanation:
The probability of not catching a defect for each inspection is 100% minus the probability of catching a defect. The probability that a defect is not caught in all four inspections is the product of each inspection's individual probability:
The probability of catching a defect is given by:
There is a 99.9% probability of catching a defect.
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
125 inches cubed
Step-by-step explanation:
First, you find the volume of the full square, and then you divide your answer by 2, since the figure is a triangle.
So,
10 x 10 x 2.5 = 250
250 ÷ 2 = 125 inches cubed
distance = time * speed
1 mile = time * 3.5 miles /56 minutes
so time = 56 minutes/3.5 = 16 minutes
use a ti 84 or something
y hat= 5.425x + 76.406
r= 0.78598
the value of r shows a linear strong positive relationship between hours studied and test score
x=4 yhat= 98.106
