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1 year ago

Find the slope of the line that passes through the two points. (3, 4) and (5, 7)

Mathematics

2 answers:

Luda [366]1 year ago

7 0

Answer:

what

Step-by-step explanation:

Alexxx [7]1 year ago

6 0

Answer: The answer is $\frac{7-5}{4-3}$ = $\frac{2}{1}$ =2

The formula to solve down here:

(x1,y1)

(x2,y2)

Step-by-step explanation:

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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

Which expression is equivalent to (144k^2r^14)1/2 for all positive values of k and r?

FrozenT [24]

Answer: B

Step-by-step explanation:

4 0

3 years ago

john spent $201 for shirts and pants for work. shirt cost $27 dollars and pants cost $22. if he bought a total of 8 articles of

skelet666 [1.2K]

So you subtract, 27-22. 27-22 is equal to 5. So, John will buy 5 kinds of T- Shirts.

4 0

3 years ago

Read 2 more answers

write an equation in slope intercept form satisfying the given equation : The line passes through (3,-8) and is parallel to the

nordsb [41]

Slope of the given line = 4
slope of the req. line = 4
equation of the line
y - y1 = m(x - x1)
y + 8 = 4(x - 3)
y + 8 = 4x - 12
4x - y - 12 - 8 = 0
4x - y - 20 = 0

8 0

3 years ago

Marcel said he can find 52 times 10 by adding a 0 to the end of 52 to get 520

Rainbow [258]

Answer:

No he can not because if you add 0 to 52 you get 520 and the answer has to be 520

Step-by-step explanation:

4 0

3 years ago

Find the slope of the line that passes through the two points. (3, 4) and (5, 7)​

Find the slope of the line that passes through the two points. (3, 4) and (5, 7)