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3 years ago

the length of a rectangle is 2 cm less then 7 timea the width. The perimeter is 96. Find the Width and Length

1 answer:

5 0

Length = 7width - 2

perimeter = 2 width + 2 length
96 = 2 width + 2 (7width -2)
96 = 2 width + 14 width - 4
100 = 16 width
then width = 6.25 cm and length = 7(6.25) - 2 = 41.75 cm

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Answer:

Step-by-step explanation:

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2 years ago

(5.7*100,000)(1.9*1000,000)

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3 years ago

A satellite dish shaped like a paraboloid, has diameter 2.4 ft and depth 0.9 ft. If the receiver is placed at the focus, how far

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Step-by-step explanation:

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3 years ago

David's chance of making a free throw is 80%. In a game, he takes 10 free throws. What is the probability he makes 8 or fewer fr

maks197457 [2]

Answer:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^{9} (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^1 (1-0.8)^{1} + (0.8)^{10}]$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

For this case we want this probability:

$P(X\leq 8)$

And for this case we can use the comlement rule and we got:

$P(X\leq 8)= 1- P(X>8) = 1-P(X\geq 9)= 1-[P(X=9)+P(X=10)]$

And we can find the individual probabilities like this:

$P(X=9)=(10C9)(0.8)^9 (1-0.8)^{10-9}$

$P(X=10)=(10C10)(0.8)^{10} (1-0.8)^{10-10}$

And replacing we got:

$P(X\leq 8)=1-[10(0.8)^9 (1-0.8)^{1} + (0.8)^{10}]$

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3 years ago

Select all the correct answers. What is 221,000,000,000,000,000,000 expressed in scientific notation? 2. 21 × 1021 2. 21E20 2. 2

goldfiish [28.3K]

To solve the problem we must know about Scientific notations.

<h2>Scientific notations</h2>

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

<h2>Explanation</h2>

Given to us

221,000,000,000,000,000,000

The above number can be written as 2.21e+21.

As in scientific notations, the number between 1 and 10 can only be represented, therefore, the number can be only 2.21e+21.

Hence, the number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

Learn more about scientific notations:

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