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3 years ago

Please help thanks so much

Mathematics

1 answer:

Katarina [22]3 years ago

4 0

Answer:

y = $\frac{-3}{2}$ x -- 2

Step-by-step explanation

We need to fill out the formula y = mx + b.

First, we must find out what each part of that formula means.

mx = slope

b = y-intercept

y = solution (Always unknown)

We already know the slope of the formula, so we can fill that out.

y = $\frac{-3}{2}$ x + b

If it has a slope of -3/2, then that means it is moving down 3 points and moving to the right 2 points to find the next line. because rise over run.

If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.

This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.

The next point it will reach is (0, -2) This gives us the y-intercept of the equation.

Now we can fill out the rest of the formula!

y = $\frac{-3}{2}$ x -- 2

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Determine the slope.( look at picture)

choli [55]

Answer:

m = 3/4

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3 years ago

A triangle has 2 sides that are 9 inches and the bottom is 6 inches what is the height?

Elanso [62]

The height of the isosceles triangle is 8.49 inches.

<h3>How to find the height of the triangle?</h3>

Here we have a triangle such that two of the sides measure 9 inches, and the base measures 6 inches.

So this is an isosceles triangle.

We can divide the isosceles triangle into two smaller right triangles, such that the side that measures 9 inches is the hypotenuse, the base is 3 inches, and the height of the isosceles triangle is the other cathetus.

By Pythagorean's theorem, we can write:

(9in)^2 = (3 in)^2 + h^2

Where h is the height that we are trying to find.

Solving that for h we get:

h = √( (9 in)^2 - (3in)^2) = 8.49 inches.

We conclude that the height of the isosceles triangle is 8.49 inches.

If you want to learn more about triangles:

brainly.com/question/2217700

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2 years ago

What is the domain and range of 4n/n-5 -2?

nlexa [21]

Answer:

Domain: (-∞, 5)∪ (5, ∞)

Range: (-∞, 2)∪ (2, ∞)

7 0

3 years ago

Read 2 more answers

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

$\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237$

hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection = </em>

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

5 0

3 years ago

How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually

katen-ka-za [31]

Answer:

Step-by-step explanation:

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3 years ago