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3 years ago

what is the equation, in point-slope form, of the line that is perpendicular and passes through the point (−4, 3)?

1 answer:

8 0

A perpendicular line has a slope of infinity. Therefore it is not possible to write the equation in point-slope form.
The equation is x = -4.

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Which equation shows the inverse property of multiplication?

serious [3.7K]

Answer:

Step-by-step explanation:

The options are:

A. 4 + (-4) = 0

B. -8 + (-3) = -3 + (-8)

C. 2 × 1/2 = 1

D. 8/5 + 0 = 8/5

The inverse property of multiplication states that the product of a number and its inverse is one.

The inverse of 2 is 1/2. The multiplication of 2 × 1/2 = 1 , as the property states.

8 0

3 years ago

If I roll a 6 sided dice and then flip a coin,

lina2011 [118]

Answer:

1/12

Step-by-step explanation:

5 0

3 years ago

A farmer has 500 acres to plant acres of corn, x, and acres of cotton, y. Corn costs $215 per acre to produce, and cotton costs

tatyana61 [14]

Answer:

The system that represent the scenario is

$x+y\leq500$

$215x+615y\leq 187,500$

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the acres of corn

y----> the acres of cotton

we know that

$x+y\leq500$ ------> inequality A

$215x+615y\leq 187,500$ -----> inequality B

using a graphing tool

the solution is the shaded area in the attached figure

8 0

3 years ago

Read 2 more answers

If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1

Fed [463]

Answer:

f(g(x)) = -1

Step-by-step explanation:

$f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1$

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

Alex17521 [72]

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:

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