What is the reference angle for -275 degrees?

A line has an c intercept of 3 and a y intercept of negative 6. What is the slope intercept form of it’s equation

Schach [20]

Answer:

y = 2x - 6

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is already given and is -6.

By c intercept, I am assuming you meant x-intercept. With an x-intercept of 3, the point is (3,0). With a y-intercept of -6, the point is (0,-6).

Use the two points to find the slope using the following equation.

$m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Plug the points into their respective positions and solve.

$m=\frac{-6-0}{0-3}\\ m=\frac{-6}{-3} \\m=2$

The slope is 2.

Your equation is y = 2x - 6.

8 0

3 years ago

Write the verbal sentence as an equation.<br> Fourteen minus the product of 3 and a number is 26.

Firdavs [7]

Answer:

14-3x=26

Step-by-step explanation:

When it says "is" and then a number, that means that it is the answer. In this case, 26.

Product means multiplying.

8 0

3 years ago

-22 over 22 in simplest form

fenix001 [56]

-1 over 1 you divide by 22

3 0

3 years ago

Read 2 more answers

Evaluate the expression. Write your answer as a fraction in simplest form.<br> Thank you so much!

ziro4ka [17]

Answer:

$\frac{1}{27}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ with n > m

= $\frac{1}{a^{(n-m)} }$ , thus

$\frac{3^{5} }{3^{8} }$ = $\frac{1}{3^{(8-5)} }$ = $\frac{1}{3^{3} }$ = $\frac{1}{27}$

7 0

3 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection 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 = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago