Answer:
Nine-million,five hundred seventy-six thousand, two hundred ninety-seven
Answer:
B
Step-by-step explanation:
Using the rules of radicals/ exponents
•
⇔
, hence
← simplify
= 
=
→ B
<span>Let p be the probability that an adult was never in a museum. Hence p = 0.15. Then q is the probability that an adult was in a museum is 1 - 0.15 = 0.75. We have a binomial expansion where the probability of k success in n trials is given by
P_n(k) = (n, k) p^(k) q^(n -k) where (n, k) is the number of ways to select 10 objects from k things.
At least two or fewer means we have P_10 (< or equal to 2)
So we have P_10 (less than or equal to 2) = P_10 ( 0) + P_10 (1) + P_10 (2).
So we have P _10 (0) = ( 10, 0) (0.15)^ (0) (0.75)^(0) = 0.196. For P_10(1), we have 0.3474 and for P_10(2), we have 0.2758. Adding these we have 0.1960 + 0.3474 + 0.2758 = 0.8192.</span>
Answer: 
Step-by-step explanation:
Given : Total rolls of film in the box = 10
Defective rolls =3
Probability of selecting first defective roll = 

Now , total rolls left = 9
Total defective rolls left = 2
Probability of selecting second defective roll = 

Now , the probability of selecting a defective roll followed by another defective roll = 
Hence, the probability of selecting a defective roll followed by another defective roll is
.
The equation of the perpendicular line is:
y = (-1/13)*x - 87/13
<h3>
How to get the line equation?</h3>
For a general linear equation:
y = a*x + b
Another linear equation that is perpendicular to the above one is given by:
y = (-1/a)*x + c
Where a, b, and c are real numbers.
In this case, we want to find a perpendicular line to:
y = 13*x - 2
Then it will be something like:
y = (-1/13)*x + c
To find the value of c, we use the fact that it must pass through the point (4, -7), then:
-7 = (-1/13)*4 + c
Now we can solve that for c:
-7 + 4/13 = c
-87/13
Then the linear equation is:
y = (-1/13)*x - 87/13
If you want to learn more about linear equations:
brainly.com/question/1884491
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