Answer:
Remainder = 4
Step-by-step explanation:
First, divide 6018 by 62(write as mixed number)
You get 97 and 4/62
The "4" is the number that is left out or the remainder
The remainder is 4
-Chetan K
Answer:
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
Step-by-step explanation:
For each television, there are only two possible outcomes. Either they have defective speakers, or they do not. The probabilities of each television having defective speakers are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
In this problem we have that:
![p = 0.01, n = 500](https://tex.z-dn.net/?f=p%20%3D%200.01%2C%20n%20%3D%20500)
Find an approximate probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
This is
![P(5 \leq X \leq 8) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)](https://tex.z-dn.net/?f=P%285%20%5Cleq%20X%20%5Cleq%208%29%20%3D%20P%28X%20%3D%205%29%20%2B%20P%28X%20%3D%206%29%20%2B%20P%28X%20%3D%207%29%20%2B%20P%28X%20%3D%208%29)
So
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 5) = C_{500,5}.(0.01)^{5}.(0.99)^{495} = 0.1764](https://tex.z-dn.net/?f=P%28X%20%3D%205%29%20%3D%20C_%7B500%2C5%7D.%280.01%29%5E%7B5%7D.%280.99%29%5E%7B495%7D%20%3D%200.1764)
![P(X = 6) = C_{500,6}.(0.01)^{6}.(0.99)^{494} = 0.1470](https://tex.z-dn.net/?f=P%28X%20%3D%206%29%20%3D%20C_%7B500%2C6%7D.%280.01%29%5E%7B6%7D.%280.99%29%5E%7B494%7D%20%3D%200.1470)
![P(X = 7) = C_{500,7}.(0.01)^{7}.(0.99)^{493} = 0.1048](https://tex.z-dn.net/?f=P%28X%20%3D%207%29%20%3D%20C_%7B500%2C7%7D.%280.01%29%5E%7B7%7D.%280.99%29%5E%7B493%7D%20%3D%200.1048)
![P(X = 8) = C_{500,8}.(0.01)^{8}.(0.99)^{492} = 0.0652](https://tex.z-dn.net/?f=P%28X%20%3D%208%29%20%3D%20C_%7B500%2C8%7D.%280.01%29%5E%7B8%7D.%280.99%29%5E%7B492%7D%20%3D%200.0652)
![P(5 \leq X \leq 8) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.1764 + 0.1470 + 0.1048 + 0.0652 = 0.4934](https://tex.z-dn.net/?f=P%285%20%5Cleq%20X%20%5Cleq%208%29%20%3D%20P%28X%20%3D%205%29%20%2B%20P%28X%20%3D%206%29%20%2B%20P%28X%20%3D%207%29%20%2B%20P%28X%20%3D%208%29%20%3D%200.1764%20%2B%200.1470%20%2B%200.1048%20%2B%200.0652%20%3D%200.4934)
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
X=20
measure of b is 92
measure of c is 40
Answer:
For the dot to dot, the slope is 8/4
simplified = 2
Step-by-step explanation:
Answer:
the first one
Step-by-step explanation:
1. 1310 x 0.15 = 196.5
2. 1310 - 196.5 = 1113.5
3. 1113.5 - 310 = 803.5
4. 803.5 - 405 = 398.5
5. 398.5 divided by 2 = 199.25