All categories

3 years ago

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

9514 1404 393

Answer:

B(5, 4)

Step-by-step explanation:

The midpoint formula is ...

M = (A +B)/2

Solving for B gives ...

B = 2M -A

B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)

The coordinates of B are (5, 4).

You might be interested in

Given:x-5>-2. choose the solution set.

tester [92]

Answer:

$x > 3$

Step-by-step explanation:

$x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3$

First you collect like terms

Then you add

3 0

3 years ago

Help me please thanks

Anastasy [175]

I’m going to say it 3/5 because the other answer are too large

5 0

3 years ago

Read 2 more answers

Soccer ball profit

Nady [450]

Answer:

$8.33 per soccer ball.

Step-by-step explanation:

Y max is =236.67 is the max profit from the soccer balls. This goes on when you charge 8.33 a ball

5 0

3 years ago

Read 2 more answers

The true average diameter of ball bearings of a certain type is supposed to be 0.05 in. A one-sample t-test will be carried out

satela [25.4K]

Answer:

a) H0: $\mu \leq \mu_o$

H1: $\mu > \mu_o$

n = 13 represent the sample size

$t = 1.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 13-1=12$

We can calculathe the p value with this formula:

$p_v = P(t_{12} >1.6) = 0.068$

Since $p_v >\alpha$ we fail to reject the null hypothesis on this case at 5% of significance.

b) H0: $\mu \geq \mu_o$

H1: $\mu < \mu_o$

n = 13 represent the sample size

$t = -1.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 13-1=12$

We can calculathe the p value with this formula:

$p_v = P(t_{12}$

Since $p_v >\alpha$ we fail to reject the null hypothesis on this case at 5% of significance.

c) H0: $\mu \geq \mu_o$

H1: $\mu < \mu_o$

n = 25 represent the sample size

$t = -2.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 25-1=24$

We can calculathe the p value with this formula:

$p_v = P(t_{24}$

Since $p_v$ we can reject the null hypothesis on this case at 1% of significance.

Step-by-step explanation:

Part a

For this case we assume that we are testing the following system of hypothesis

H0: $\mu \leq \mu_o$

H1: $\mu > \mu_o$

n = 13 represent the sample size

$t = 1.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 13-1=12$

We can calculathe the p value with this formula:

$p_v = P(t_{12} >1.6) = 0.068$

Since $p_v >\alpha$ we fail to reject the null hypothesis on this case at 5% of significance.

Part b

For this case we assume that we are testing the following system of hypothesis

H0: $\mu \geq \mu_o$

H1: $\mu < \mu_o$

n = 13 represent the sample size

$t = -1.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 13-1=12$

We can calculathe the p value with this formula:

$p_v = P(t_{12}$

Since $p_v >\alpha$ we fail to reject the null hypothesis on this case at 5% of significance.

Part c

For this case we assume that we are testing the following system of hypothesis

H0: $\mu \geq \mu_o$

H1: $\mu < \mu_o$

n = 25 represent the sample size

$t = -2.6$ represent the calculated statistic

The degrees of freedom are given by:

$df = n-1 = 25-1=24$

We can calculathe the p value with this formula:

$p_v = P(t_{24}$

Since $p_v$ we can reject the null hypothesis on this case at 1% of significance.

8 0

3 years ago

What’s the equation of this red line?

AlexFokin [52]

Answer: y = 1x + 4.

8 0

3 years ago

Read 2 more answers

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?​

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?