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
ANEK [815]
3 years ago
9

A college football coach has decided to recruit only the heaviest 15% of high school football players. He knows that high school

players’ weights are normally distributed and that this year, the mean weight is 225 pounds with a standard deviation of 43 pounds. Calculate the weight at which the coach should start recruiting players.
Mathematics
1 answer:
Alla [95]3 years ago
3 0

Answer:

The coach should start recruiting players with weight 269.55 pounds or more.                                                    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 225 pounds

Standard Deviation, σ = 43 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.15

P( X > x) = P( z > \displaystyle\frac{x - 225}{43})=0.15  

= 1 -P( z \leq \displaystyle\frac{x - 225}{43})=0.15  

=P( z \leq \displaystyle\frac{x - 225}{43})=0.85  

Calculation the value from standard normal z table, we have,  

P(z < 1.036) = 0.85

\displaystyle\frac{x - 225}{43} = 1.036\\\\x = 269.548 \approx 269.55

Thus, the coach should start recruiting players with weight 269.55 pounds or more.

You might be interested in
HELP!!! ASAP!!!! TRIG!!!
RSB [31]

Answer:

Identity is true

Step-by-step explanation:

\frac{cos\theta+1}{tan^2\theta}=\frac{cos\theta}{sec\theta-1}

(cos\theta+1)(sec\theta-1)=(tan^2\theta)(cos\theta)

(cos\theta)(sec\theta)+(cos\theta)(-1)+(1)(sec\theta)+(1)(-1)=(\frac{sin^2\theta}{cos^2\theta})(cos\theta)

(cos\theta)(\frac{1}{cos\theta})-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}

1-cos\theta+sec\theta-1=\frac{sin^2\theta}{cos\theta}

-cos\theta+sec\theta=\frac{sin^2\theta}{cos\theta}

sec\theta-cos\theta=\frac{sin^2\theta}{cos\theta}

\frac{1}{cos\theta}-cos\theta=\frac{sin^2\theta}{cos\theta}

\frac{1}{cos\theta}-\frac{cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

\frac{1-cos^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

\frac{sin^2\theta}{cos\theta}=\frac{sin^2\theta}{cos\theta}

Therefore, the identity is true.

<u>Helpful tips:</u>

Pythagorean Identity: sin^2\theta+cos^2\theta=1\\cos^2\theta=1-sin^2\theta\\sin^2\theta=1-cos^2\theta

Quotient Identities: tan\theta=\frac{sin\theta}{cos\theta},sec\theta=\frac{1}{cos\theta}

6 0
2 years ago
1=5. 2=10 3=15. 4=10 5=x. what does x equally
SCORPION-xisa [38]
The answer for this question would be and is 20.
8 0
3 years ago
How would I do all of these problems
Bogdan [553]
All you have to do is figure out the bases of the figure and use the 12 and 13 in your problems and you should be able to get the right answer.
5 0
3 years ago
On Heiki's trip, the ratio of distance traveled to time is 112 km to 3 h.
allsm [11]
336

112x = 336

112
x3
=336

37.3
x3
= 112

37.3
x9
=336
6 0
2 years ago
Solve the system by substitution <br><br> -8x+y=-9<br> y=7
aleksandr82 [10.1K]
In point for (2,7) and in Equation form x=2 y=7
6 0
3 years ago
Other questions:
  • What is the length of the actual dining room?
    7·1 answer
  • Which equation is NOT an identity?
    8·1 answer
  • H + |-8| = 15 solve the equation check the solution
    12·1 answer
  • The formula I = p r t gives the amount of simple interest (I) earned by investing principle ( p ) for rate ( r ) over a period o
    5·1 answer
  • A pack of cinnamon-scented pencils sells for $8.00. What is the sales tax rate if the total cost of the pencils is $8.64?
    11·2 answers
  • HELP ME ASAP PLEASE ?!?Give the coordinates of point A.
    15·2 answers
  • Find the median, first quartile, third quartile, and interquartile range of the data.
    14·2 answers
  • Mia sells cars and earns 2.7% commission in every sale. In one day she sells one car for $16.500 and another for $22.900. How mu
    12·1 answer
  • ALGEBRA STUFF IS ANNOYING
    12·1 answer
  • 7) Paul is designing a flower garden. If he makes
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!