What is 7/12- blank =1/6

A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

OverLord2011 [107]

Answer:

400

Step-by-step explanation:

you divided 150 by 3 which is 50 then multiply that by 8 which will give you answer

7 0

3 years ago

Read 2 more answers

Shane returned from a trip to Las Vegas with $420 , which was75% more money than he had at the beginning of the trip. How much m

ioda

Answer:

Shane had $240 at the beginning of his trip.

Step-by-step explanation:

Shane returned from a trip to Las Vegas with $420 and this is 75% more of at the beginning.

Let us assume the money he carried at the beginning of the trip was $x

At present he is having 75% more means total money he has = x+75% of x

This total amount is equal to $420

Therefore x + .75x = 420

x(1 +.75) =420

1.75 x = 420

Now by dividing both sides by 1.75

x = 420÷1.75

= $240

Therefore the amount he carried in the beginning of the trip is $240.

3 0

3 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

3 years ago

Quick!

MAVERICK [17]

Answer:

y=-x-2

Step-by-step explanation:

To find the slope of the line, you can use the slope formula. I did this with (-3,1) and (2,-4) to get: (1+4)/(-3-2). This ends up as -5/5, which simplifies to -1.

next I plugged in the slope and one point into the line equation: y=mx+b. I plugged in (-4)=(-1)(2)+b. This equated to b=-2.

Check Work:

The equation -4=(-1)(2)-2 is true

The equation 1=(-1)(-3)-2 is true

5 0

3 years ago

Please do your best to give me the correct answer! thank you so much! :)

Nataliya [291]

Answer: m= -1/8

Good luck !

6 0

3 years ago