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3 years ago

What are the steps for substitution(word problems)? Please and thanks!

1 answer:

nataly862011 [7]3 years ago

6 0

The steps for substitution are step 1 solve for the equation x = or y then step 2 is substitute the solution from step 1 into the second equation and step 3 is solve the new equation for x.

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PLEASE HELP I WILL GIVE BRAINLIEST!! PLEASE DONT PUT AN ABSURD ANSWER!<br> HURRY!!!

tiny-mole [99]

My answer is A. Hands down A.

5 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$

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:

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

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

7 0

3 years ago

Read 2 more answers

Factorise this : 2p²-p-10

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

p(2p-1)-10

8 0

3 years ago

The ratio 63:28 in simplest form is

Bezzdna [24]

It is 9:4.

Reason: divide both numbers by a common multiple, which is 7.

6 0

3 years ago

Complete the input-output table for the function y = 3^x

Archy [21]

Answer:

x y

-2 0.111

-1 0.333

0 1

1 3

2 9

Step-by-step explanation:

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3 years ago