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3 years ago

What is the equation of the line instandard form which has slope -4/5 and y - intercept 3

Mathematics

1 answer:

Dovator [93]3 years ago

4 0

Answer:

y= -4/5x =3

Step-by-step explanation:

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A k out of n system is one in which there is a group of ncomponents, and the system will function if at least kof the components

iVinArrow [24]

Answer:

0.99145 is the probability that the system will work properly.

Step-by-step explanation:

We are given the following information:

The components function independently of one another.

We treat component working properly as a success.

P(component working properly) = 0.9

Then the number of components follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 5 and x = 3

For the system to function if atleast 3 out of 5 will work properly.

We have to evaluate:

$P(x \geq 3) = 1 - P(x = 1) - P(x = 2) \\=1- \binom{5}{1}(0.9)^1(1-0.9)^4 - \binom{5}{2}(0.9)^2(1-0.9)^3\\=1-0.00045-0.0081\\= 0.99145$

0.99145 is the probability that the system will work properly.

6 0

3 years ago

Billy wants to buy a golf cart that costs $12,000. He has already saved $8,500 and will continue to save $100 a week. Write and

Nataliya [291]

Answer:

35 weeks

Step-by-step explanation:

12000=8500+100x

8500 from 12000 is 3500.

3500/100 is 35. 35 is x.

to check answer:

(35*100)+8500=

12000

7 0

3 years ago

Which line is perpendicular to the line whose equation is 5y + 6 = -3x?

Lynna [10]

Answer: B

Step by Step

5y + 6 = -3X

5y = -3X - 6

Y = -3/5X -6/5

Perpedicular is the flip of your slope so -3/5 becomes 5/3X

6 0

3 years ago

Brianna is constructing a raised flower bed in the shape of a rectangle. The length of the flower bed is equal to the width plus

inessss [21]

I think the answer is 5 feet because 2(2+5)= 4+10=14. So the missing length is 5 feet.

4 0

3 years ago

Solve for x in the equation x2 - 12x+ 36 = 90

12345 [234]

Answer:

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

Step-by-step explanation:

x^2 - 12x + 36 = 90

x^2 - 12x - 54 = 0

x = $\frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}$

a = 1, b= -12, c= -54

6 + 3 $\sqrt{10\\}$ or 6 - 3 $\sqrt{10\\}$

6 0

3 years ago

What is the equation of the line instandard form which has slope -4/5 and y - intercept 3​

What is the equation of the line instandard form which has slope -4/5 and y - intercept 3