All categories

1 year ago

Calculate the distance between the points P=(-9, 1) and C=(−6, 8) in the coordinate plane.

Mathematics

1 answer:

Alekssandra [29.7K]1 year ago

6 0

Using Pythagoras
Distance between P and C = sr[(-6 - -9)^2 + (8 - 1)^2]
= sr(3^2 + 7^2)
= sr(9 + 49)
= sr(58) exactly

You might be interested in

1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?

Fiesta28 [93]

Answer:

y = 5

Step-by-step explanation:

$x \ \alpha \ y$

$=> x = k \times y\\=> 35 = k \times 7\\=> k = 5$

$x = k \times y$

$=>25 = 5 \times y\\ =>5 = y$

8 0

3 years ago

Read 2 more answers

What is 4/3 plus 3/4

skelet666 [1.2K]

4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25

7 0

2 years ago

Read 2 more answers

Suzi has 5 equal bottles that are each 3/4 full of lotion. How many bottles does Suzi have if she combines all of her lotion

Bond [772]

THE ANSWER IS DEEZ NUTZ

8 0

3 years ago

Makenzie has a bag that contains 6 red marbles 4 blue marbles and 14 yellow marbles if she chooses one marble from the bag what

stiks02 [169]

Step-by-step explanation:

Susan has a high chance of picking a yellow marble because she has more yellow than any color

7 0

3 years ago

Read 2 more answers

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t

andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: $H_{0} = 3$

Alternate: $H_{a} = 3$

The test-statistic is given by:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that $n = 100$

3 tested at the null hypothesis

This means that $\mu = 3$

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that $X = 3.1$

The population standard deviation is known at 0.5 minutes.

This means that $\sigma = 0.5$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0

3 years ago