All categories

3 years ago

which equation is in slope intercept form and represents a line with slope 3 through the point (9,-4)?

Mathematics

1 answer:

faust18 [17]3 years ago

4 0

Answer:

y = 3x - 23

Step-by-step explanation:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

y = 3x - 23

You might be interested in

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

4 0

3 years ago

Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influenc

coldgirl [10]

<h2>Answer explanation:</h2>

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

So the factor effecting probability is just the number of favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

$P(H)=\dfrac{1}{2}=0.5=50\%$

To get heads always this should be 1 , which can be happen if number of favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

8 0

3 years ago

Ellema knows that 1/5 written as a decimal is 0.2. How can Ellema use this information to find the decimal equivalent for 9/5 wi

Rus_ich [418]

Answer:

1.8

Step-by-step explanation:

0.2 times 5 is 1.8

3 0

3 years ago

Read 2 more answers

Plzzz HELP will give brainliest 9^-53*9^37

slamgirl [31]

Answer: The exact form is 5.3965953e-16. But in exponential form: 9^(-16).

Step-by-step explanation:

Use your calculator to plug in the negative powers and to multiply. Do it one step at a time. If you want exponential form, then here:

9^(-53) * 9^(37)

Add exponents keep base

9^(-16)

Hope this helps

3 0

3 years ago

There are 20 students on the schools student council. A special homecoming dance committee is to be formed by randomly selecting

babymother [125]

You have to take 20/7 and you get a answer of <span>2.85 as a decimal. or a mixed number of 2 17/20</span>

3 0

3 years ago