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
Kamila [148]
3 years ago
15

Two marathon runners run the full distance of the marathon, approximately 26 miles, in 4 hours.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Answer:

6.5 miles in 1 hour and they will run 75% of the full distance in 1 hour.

Step-by-step explanation:

The distance covered by two marathon runners = 26 miles

They takes 4 hours

We need to find how many miles did they run in 1 hour

In 4 hour, the distance covered is 26 miles

To find distance covered in 1 hour, divide 26 by 4 such that.

d=\dfrac{26}{4}\\\\d=6.5\ \text{miles/hour}

So, they will cover 6.5 miles in 1 hour.

For percentage,

\%=\dfrac{26-6.5}{26}\times 100\\\\=75\%

So, they will run 75% of the full distance in 1 hour.

You might be interested in
What is the measurement of arc BE?
aniked [119]
The answer is 134 degrees
4 0
3 years ago
Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

7 0
3 years ago
simplify 5ab+9a-ab-7a and justify each step as associative , distributive, commutative, or additive property.
Vladimir [108]

Answer:

5ab-ab+9a-7a

ab(5-1)+a(9-7)

4ab+2a

a(4b+2)

7 0
3 years ago
If mRS=x then write an equation that could be used to solve for x and find the value of x
Fed [463]

Answer:

a) x = 30°

b) mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

Question:

The complete question as found on Chegg website:

In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs

intercepted have the following ratio of measurements:

mRS : mST :MTU : mUR=1:4:4:3

(a) If mRS = x, then write an equation that could be used to solve for x

and find the value of x.

(b) State the measure of each of the four arcs.

mRS =

mST =

MTU

MUR =

Step-by-step explanation:

Find attached the diagram related to the question

mRS : mST : mTU : mUR = 1:4:4:3

Since mRS = x

Writing the ratios of the measure of angle in terms of mRS:

mST = 4× mRS = 4×x = 4x

mTU = 4× mRS = 4×x = 4x

mUR= 3× mRS = 3×x = 3x

The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)

mRS + mST + mTU + mUR = 360°

x + 4x + 4x + 3x = 360

12x = 360

x = 360/12

x = 30°

b) The measure of angle

mRS = x = 30°

mST = 4x = 4(30°) = 120°

mTU = 4x = 4(30°) = 120°

mUR = 3x = 3(30°) = 90°

6 0
3 years ago
X.(9x-1).(x+2)-x(3x-1).(3x+1)
adoni [48]

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2

8 0
3 years ago
Other questions:
  • What is 2÷766 in long division ​
    10·1 answer
  • Tina had $40. She spent 1/4 of her money on a new purse. She paid her mother$5 she borrowed she spent $5.75 on hair ribbons. How
    13·1 answer
  • the graph shows the total number of hours katrina worked over a 10-day period. during which one-day interval did she work the mo
    14·1 answer
  • What is the equation of this line?
    11·1 answer
  • If m 24 = 35º, find m_2 and m23.<br> А<br> 00<br> 2<br> 4<br> .<br> m22 =<br> m23 =
    7·1 answer
  • A ball is thrown upward from the top of a building. The ball's height above the ground after T seconds is given by the function:
    10·1 answer
  • The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third nu
    5·1 answer
  • Write each as a decimal. Round to the thousandths place.<br> 9) 78.4%<br> 10) 29%<br> Help
    8·1 answer
  • 2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.
    5·1 answer
  • Benny spent 27 minutes talking on the phone on Wednesday. On Thursday, Benny's phone time was 9/10 of Wednesday's time. On Frida
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!