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
Mariana [72]
3 years ago
11

The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation

of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.50 0.6915 1.00 0.8413 2.00 0.9772 3.00 0.9987
Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer: 0.16

Step-by-step explanation:

Given that the run times provided are normally distributed ;

Mean(x) of distribution = 3 hours 50 minutes

Standard deviation(s) = 30 minutes

The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes

3 hours 20 minutes = (3 hrs 50 mins - 30 mins):

This is equivalent to :

[mean(x) - 1 standard deviation]

z 1 standard deviation within the mean = 0.84

z, 1 standard deviation outside the mean equals:

P(1 - z value , 1standard deviation within the mean)

1 - 0.8413 = 0.1587

= 0.16

You might be interested in
How do I solve this problem?
Dovator [93]
I belive 6 of the bulbs are blue
5 0
3 years ago
Read 2 more answers
The two pentagons shown are similar. What is the value of x?
Shtirlitz [24]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
eimsori [14]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), so

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

8 0
3 years ago
Read 2 more answers
Which equation can be solved using the expression StartFraction negative 3 plus-or-minus StartRoot (3) squared + 4 (10) (2) EndR
katen-ka-za [31]

Answer: B.  2 = 3x + 10x2

Step-by-step explanation:

This is the concept of quadratic equations; We required to find the type of equation that can be solved using the model that has been used to solve the equation such that the answer is:

[-3+-sqrt(3^2+4(10)(2))]/(2(10))

The formual that was applied here was a quadratic formula given by:

x=[-b+\-sqrt(b^2-4ac)]/2a

whereby from the our substituted values above,

a=10,b=3 and c=-2

such that the quadratic equation will be:

10x^2+3x-2 

3 0
3 years ago
Read 2 more answers
Shenise is a star player for her women's basketball team. She has injured her ankle, and it is doubtful that she will be able to
Sladkaya [172]

Answer:

<u>The correct answer is that it's expected the team will score 72 points.</u>

Step-by-step explanation:

1. This is the information given in the question:

When Shenise can play the team scores 91 points

Without Shenise the team just scores 60 points

Therefore, when Shenise is at her best, her 100%, she scores 31 points by herself. When she's not in conditions, she can't play.

2. For finding out how many points Shenise can score if she plays, we use this formula:

If Shenise is at her 100%, she scores 31 points, how many points can she score if she's at 40% chance of playing?

Points upcoming game = 31 * 40 / 100

Points upcoming game = 1,240 / 100

Points upcoming game = 12.40 = 12 (rounding to the nearest whole number)

3. If Shenise plays, she can score 12 points. Now, we can calculate how many points her team will score.

Points the team scores when Shenise doesn't play = 60

Points the team will score if Shenise plays = 60 + 12 = 72

<u>The team will probably score 72 points with a 40% chance that Shenise will play the upcoming game</u>

4 0
3 years ago
Other questions:
  • What is the greatest common factor of 35 and 63
    9·2 answers
  • Are 18:3 and 6:1 equivalent radios?
    7·2 answers
  • What is 100009 + 98710?
    15·1 answer
  • What percent of 110 is 88
    11·2 answers
  • Point A(3,-2) and point B (-1,6) are endpoints of AB Point C is the midpoint of AB What is the equation of a line perpendicular
    12·1 answer
  • A rectangular soccer field may have a width between 50 and 100 yards and a length
    15·2 answers
  • If 15 of the 1001<br> cars in a parking<br> lot are white,<br> how many cars<br> are white?
    13·2 answers
  • A medical center conducted a study to investigate cholesterol levels in people who have had heart
    11·1 answer
  • Select the best description for the sum of the expression below.
    11·1 answer
  • what is the equation of the following line? be sure to scroll down first to see all the answer options
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!