10x-35+3ax=5ax-7a solve for "a" for which the equation is an identity.

2 answers:

8 0

$10x-35+3ax=5ax-7a \\\\ 3ax-5ax+7a = -10x+35 \\\\ -2ax+7a = -10x+35 \\\\ a(-2x+7)=-10x+35 \\\\ a= \frac{-10x+35}{-2x+7} \\\\ a = \frac{5(-2x+7)}{(-2x+7)} \\\\ a=5$

ella [17]3 years ago

6 0

You can solve it by using PEMDAS

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Through: (2, 2), parallel to y = x +4

dexar [7]

Answer:

y = x

Step-by-step explanation:

We can use slope-point form.

(y-y1) = m(x-x1)

m is a slope. If the line is parallel than slopes are the same.

y = x + 4, for this line slope = 1, so for line we have to find slope is also 1.

(y-y1) = m(x-x1)

m=1, x1 = 2, y1 = 2

(y - 2) = 1(x-2)

y - 2 = x - 2

y = x

8 0

2 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:

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