Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.
It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.
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Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = 
(where r is the radius and h is the height)
Radius = 
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = 
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
Answer:
Probability at least one car will get punctured: 0.39347
Step-by-step explanation:
B(10,000 , 0.00005)
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.00005)^10,000
= 1 - (0.99995)^10,000
= 1 - 0.60652...
= 0.39347 (probability that at least one car will get punctured)
As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].
