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3 years ago

Find the x- and y- intercepts of 4x +5y = 20. Show your work.

1 answer:

5 0

x- intercept
4x = 20
x = 5
(5,0)

y- intercept
5y = 20
y = 4

(0,4)

answer
x- intercept (5,0)
y- intercept (0,4)

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You have $12,000 to invest and want to keep your money invested for 8 years. You are considering the following investment option

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3 years ago

Goldie Goldfish, a speed swimmer, loves to race around the park’s pond, which is about 0.5 miles around. If she can swim 20 laps

lord [1]

Answer:

5mph

Step-by-step explantion:

0.5 times 20 equals 10

10/2 equals 5

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3 years ago

Find any points of discontinuity for the rational function... y=x-3/x^2-3x-10

vlabodo [156]

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

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3 years ago

⅜ of the animals at the zoo equals to 600. 40% of all the animals at the

raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

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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:

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