All categories

2 years ago

Write the fuction for the graph. (1,8) (0,2)

1 answer:

8 0

ANSWER
The function if the graph is,

$y = 6x + 2$

EXPLANATION

We want to write the function for the graph that, goes through (1,8) and (0,2).

Let the function be of the form

$y = mx + c$

Where m is the slope and

$c = 2$

is the y-intercept.

The slope is

$m = \frac{2 - 8}{0 - 1} = - \frac{ - 6}{ - 1} = 6$

The equation becomes,

$y = 6x + 2$

You might be interested in

I need help!!!!!!!!!!!!

Ainat [17]

Answer:

See explanation below.

Step-by-step explanation:

A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.

On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.

This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.

4 0

3 years ago

A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet

brilliants [131]

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0$

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

$M_d=M_1-M_2=42-45=-3$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04$

The degrees of freedom for this test are:

$df=n_1+n_2-1=49+36-2=83$

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.

6 0

3 years ago

Read 2 more answers

The selling price of a certain video is $7.00 more than the price the store paid. If the selling price is $24.00, find the price

Ann [662]

The store paid $17.00

Solution: $24.00 (selling price) - $7.00 (difference of what the store paid) = $17.00

8 0

2 years ago

Please help! Thanks.

Karo-lina-s [1.5K]

Answer:

because it has the same angle

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS!!!!!

nadezda [96]

For the given experiment of spinning a spinner and drawing a card, we will see that:

A) Yes, the events are independent.
B) P(3 and A) = 1/16
C) P(5 and C) = 0
D) P(4) = 1/4
P(B or C) = 1/2
E) P(3 and not D) = 3/16

<h3>What are independent events?</h3>

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

<h3>How to get the probabilities?</h3>

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0

2 years ago