1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FinnZ [79.3K]
3 years ago
12

If you run for 4 hours at 8 miles an hour and walk 8 hours at 2 miles an hour, how far will you have gone at the end

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0

Answer: 48

Step-by-step explanation:

8 (MPH) x 4 (H) = 32 miles covered in 8 hours.

2(MPH) x 8 (H) = 16 miles covered in 8 hours.

32 + 16 = 48 MPH

Darya [45]3 years ago
4 0

Answer:

4 hours at 8 miles an hour: 8(4) = 32 miles in total

8 hours at 2 miles an hour: 2(8) = 16 miles in total

Miles in total: 32 + 16 = 48

The answer is A. 48 miles

You might be interested in
Round to the nearest hundredth : 3.2649
Bas_tet [7]

Answer:

3.26

Step-by-step explanation:

Rounding to the nearest hundredth means round to the nearest two decimal places.

To do this, all we need to look at is the 3rd decimal place.

Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.

Therefore, the answer should just be 3.26

3 0
3 years ago
Read 2 more answers
Triangle ABC is transformed to obtain triangle A′B′C′:
Lisa [10]

Answer:

Option C is right.

Step-by-step explanation:

Given is a graph with two triangles marked on it.

Triangle ABC is in the I quadrant with vertices (2,2) (2,10) and (8,12)

Triange A'B'C' is in the III quadrant with vertices (-1,-1), (-1,-5) and (-4,-6)

On comparison we find corresponding side of AB is A'B'

Length of AB = 8 and Length of A'B' = 4.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2.

Now since moved to III quadrant from I quadrant we find that there is a rotation of triangle ABC about the origin.  The degree of rotation is 180 degrees.

Hence A'B'C' is obtained by dilating ABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees

8 0
3 years ago
A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w
sergejj [24]

Answer:

a) a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

b) P(X \geq 3) = 1-P(X

c) P(\bar X \geq 225)=1- P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the cuts of a population, and for this case we know the distribution for X is given by:

X \sim N(225,16.5)  

Where \mu=225 and \sigma=16.5

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674=\frac{a-225}{16.5}

And if we solve for a we got

a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

X\sim Bin(n=10, p=0.25)

And we want this probability:

P(X \geq 3) = 1-P(X

We can find the individual probabilities like this:

P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563

P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877

P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816

P(X \geq 3) = 1-P(X

Part c

For this case we know that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(\bar X \geq 225)

And for this case we can use the complement rule and the z score given by:

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

And if we replace we got:

P(\bar X \geq 225)=1- P(\bar X

4 0
3 years ago
How many different books did the children read
Alex777 [14]

Answer:

16 books

Step-by-step explanation:

if Sandra read 5 books and Deacon read 6 and Breanna read 7 and they all one same book, then that means sandra read 4 different books then Deacon and Breanna. Deacon read 5 different books then Sandra and Breanna. Breanna read 6 different books then Deacon and Sandra.

So Sandras 4 books plus Deacons 5 books plus Breannas 6 books equals up to 15 but, now you need to add the one book they all read which makes the answer 16.


(Hopes this helps)

3 0
3 years ago
In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35
Dvinal [7]
No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Find the equation of the line shown.
    15·1 answer
  • What are the domain and range of the function below?<br> !!!!!!
    6·1 answer
  • Help!!! 10pts!!
    8·1 answer
  • Do you think im smart<br><br><br> worth 20 points
    9·2 answers
  • The table is an example of joint variation. What is the missing value if the length is 5 meters?
    14·2 answers
  • 15 less than quadruple a number w​
    15·1 answer
  • Point P is located at (4,8) on a coordinate plane. Point P will be reflected over the x - axis. What will be the coordinates of
    8·1 answer
  • Help asap !<br><br> -100x - 100 = 0<br> -100x = ?<br> x = ?
    14·1 answer
  • 11/4 - 2/4 as an improper fraction
    15·1 answer
  • The history of pi and it’s importance to geometry!!!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!