Ask question

Ask question

All categories

3 years ago

5

After running 10 miles, David drank 2 bottles of water. His brother was thirstier and drank 2 1/2 times as much as David. What e

quation can be used to find out how many bottles of water David's brother drank?

2 answers:

ad-work [718]3 years ago

5 0

2 * 2.5 = 5, David’s brother drank 5 bottles of water. And the number of miles they ran is insignificant to the question.

r-ruslan [8.4K]3 years ago

3 0

2 x 2 1/2= 5 so the answer is 5

You might be interested in

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

Which quantity is proportional to 40⁄8?

Nina [5.8K]

5

40/8 is 5. You can check this by multiplying 8 and 5 and seeing if it equals 40. Also, if you look at 40/8 as a fraction you can simplify it. 40/8=20/4=10/2=5/1=5

5 0

3 years ago

Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo

Anvisha [2.4K]

<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

B = Blake's starting position
F = finish line
C = the third unmarked point of the triangle

The locations of the points are

B = (-8,1)
C = (-6,-3)
F = (4,-2)

Use the distance formula to find the distance from B to C

$B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\$

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0

3 years ago

Find the value of each variable.<br> y =<br> z =

Alik [6]

Answer:

z=70 degrees y=117 degrees

Step-by-step explanation:

To find angle z, you have to know that when two sides are against each other, they have to equal 180 degrees so 180-110 is equal to 70. Therefore z is equal to 70 degrees. To find y, you have to know that a quadrilateral's total degrees is equal to 360 degrees. Therefore, you have to do 360-93-80-70 which is equal to 117 degrees. Therefore y is equal to 117 degrees.

If this answer has helped you, please mark it as brainliest

4 0

3 years ago

Slope intercept from two points<br> (3,-8) and (6,-4)

sukhopar [10]

Answer:

(3,4)

Step-by-step explanation:

(6-3)(-4(--)+3)

5 0

4 years ago