What the surface area of prism 4,5,3.5,and 3 square units

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

2 years ago

What is the slope of y=-x perpendicular to the equation

tensa zangetsu [6.8K]

$\frac{1}{2} x$

7 0

2 years ago

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7% of his customer

Mrrafil [7]

Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

7% of his customers buy a magazine, hence p = 0.07.

A sample of 14 customers is taken, hence n = 14.

The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{14,4}.(0.07)^{4}.(0.93)^{10} = 0.0116$

0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0

2 years ago

I will give brainiest to whoever answers correctly !!

grigory [225]

Answer:

huodfgonfgin

ffgbjfibnr

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

6th grade math help it’s due tomorrow

Mkey [24]

Answer: 8.05 km

Step-by-step explanation:

1 mile=1.6093 km

1.6093x5=8.0465

Round to the nearest hundredth: 8.05

6 0

2 years ago