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
Sloan [31]
3 years ago
7

Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and

a standard deviation of 16 seconds. Thus, 99.7% of running times are approximately between:
A. 61 and 125 seconds

B.77 and 109 seconds

C. 45 and 141 seconds

D. None of the answer options is correct
Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

You might be interested in
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
Arturiano [62]

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

3 0
3 years ago
Read 2 more answers
B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC
3241004551 [841]

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

5 0
2 years ago
Work out the volume of the solid shape<br><br> Give your answers in terms of pi please
kirill [66]

*The complete question is in the picture attached below.

Answer:

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

3 0
2 years ago
FIRST PERSON TO ANSWER GETS BRAINLIEST OR FIVE STARS Define the domain and range of the function.
uysha [10]

Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

The domain are the x-values included in the function (the horizontal axis).

The range are the y-values included in the function (the vertical axis).

The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).

While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).

7 0
2 years ago
Read 2 more answers
Which graph represents a function?
Sliva [168]

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the formula of the area of any triangle
    8·2 answers
  • What would be the equation for #23???
    10·2 answers
  • How to solve the problem <br> Step by step
    6·1 answer
  • Ami and Ria are playing a game where one of them would pick up a card and the other would guess the number. Ami picked up a card
    5·2 answers
  • HI this is problably the hardest question for me to do in my head without Alexa or google but here's my question " I get money f
    12·1 answer
  • I’ll mark as brainliest!!
    12·2 answers
  • Cual es la diferencia entre divisor y divisible
    14·1 answer
  • write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7
    13·2 answers
  • Bob makes $50 a day and works 22 days a month at the beginning of this month bob received a 10% pay increase how much more money
    8·1 answer
  • Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the origi
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!