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
alexandr1967 [171]
2 years ago
11

Bob and Doug are both 100-meter sprinters. Bob's sprint time is normally distributed with a mean of 10.00 seconds and Doug's spr

int time is also normally distributed, but with a mean of 9.90 seconds. Both have the same standard deviation in sprint time σ. Assuming that Bob and Doug have independent sprint times, and given that there is a .95 chance that Doug beats Bob in any given race, find σ.
Mathematics
1 answer:
alexdok [17]2 years ago
3 0

Answer:

The standard deviation (σ) = 0.05

Step-by-step explanation:

The question is to find the standard deviation.

STEEP 1: FIND THE MEAN

(10+9.9) ÷ 2 = 9.95

STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN

10-9.95= 0.05

0.05^2 = 0.0025

9.9 - 9.95= -0.0025

-0.0025^2 = 0.0025

STEP 3: FIND THE VARIANCE

0.0025+0.0025= 0.005

0.005/2= 0.0025

STEP 4: FIND THE STANDARD DEVIATION (σ )

√variance

√0.0025 = 0.05

Therefore

σ = 0.05.

From the standard deviation, the percentage probability of the higher value to occurs is

0.05×100= 5%

That means Doug has 95%

And Bob has 5%

You might be interested in
Bank statement practice
VashaNatasha [74]

Answer:

whats the question

Step-by-step explanation:

......1.....

6 0
2 years ago
Read 2 more answers
Without solving, determine whether the equation 3 - (x + 1) = 2 - x has one solution, no solutions, or infinitely many solutions
Rudiy27

Answer:

infinite

Step-by-step explanation:

3 0
2 years ago
Simplify each expression -(5p+3)
aniked [119]

Answer:

-5p-3

Step-by-step explanation:

use the distributive property

8 0
2 years ago
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
pentagon [3]

Answer:

x= -2   and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10  is one point

x=-2 and y = -6 is the other point

5 0
3 years ago
Avery bought 6.5 pounds of produce. If the produce was priced at $1.88 per pound, how much change did Avery receive if she paid
Katarina [22]

Answer:

the answer is $7.78

Step-by-step explanation:

You multiply 6.5 times 1.88. Then you subtract that answer from 20.

7 0
3 years ago
Other questions:
  • Can you use simplest form to compare 8/10 and 3/5 explain
    15·2 answers
  • The florist has 63 roses and carnations.if she has 27 roses bow many carnations does she have?
    8·1 answer
  • Y=x^3 + 2x^2 - 5x - 6; (x+1) <br>Please show all work
    9·1 answer
  • What is the value of In e^6?
    7·2 answers
  • Find the distance and midpoint for A(0,1) and B(2,6)
    15·1 answer
  • For the first 2 home football games, the concession stand sold a total of 70 hamburgers. How many hamburgers can they expect to
    11·1 answer
  • Write the ratio in simplest form8:2
    11·1 answer
  • Brainliest badge you help me no kizzy
    10·2 answers
  • Find the missing side of this right<br> triangle.<br> 19<br> X<br> X =<br> 16<br> ✓[?]
    8·1 answer
  • 4(2x + 3) ÷ 5y
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!