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
scoray [572]
3 years ago
14

Suppose that the distribution of touchdown passes (in football) is normally distributed with a mean of 250 feet and a standard d

eviation of 50 feet. We randomly sample 49 touchdowns.
What is the probability that the 49 touchdowns traveled an average of less than 245 feet? Please explain how you derived your answer.
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer: 0.2420

Step-by-step explanation:

Given: Mean : \mu = 250 \text{ feet}

Standard deviation : \sigma =50\text{ inch}

Sample size : n=49

The formula to calculate z is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 245

z=\dfrac{245-250}{\dfrac{50}{\sqrt{49}}}=-0.7

The P Value =P(Z

Hence, the probability that the 49 touchdowns traveled an average of less than 245 feet= 0.2420

You might be interested in
How mony boxes does Sharice need?<br>sharice needs ? boxes ​
Ne4ueva [31]

she will need 18 boxes total :)

4 0
2 years ago
Read 2 more answers
What is the answer to -|-9|
puteri [66]

Answer:

-9

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Question 1 of 10<br> (x)=x2. What is g(x)?<br> y<br> f(x)<br> g(x)<br> -5<br> 6<br> (3, 3)<br> 5
never [62]

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that relates a dependent variable and an independent variable.

It is given that

f(x) = x²

It has been asked to determine the equation of g(x)

It can be seen from the graph the the vertex is same just the graph is scaled.

The point (3,3) is of g(x) , when the value of y at at x =3 is 9

Therefore the scale factor is 1/3

And we can do trial and error on the basis of the options given ,

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0
1 year ago
Square root for 9/100
Leno4ka [110]

\sqrt{a}=b\iff b^2=a\ for\ a\geq0\ and\ b\geq0.\\\\\sqrt{\dfrac{9}{100}}=\dfrac{\sqrt9}{\sqrt{100}}=\dfrac{3}{10}

5 0
3 years ago
You have ​$23 comma 000 to​ invest, part at 8 % and the rest at 9 %. If x is the amount invested at 8 %​, write an algebraic exp
Vinvika [58]

<em>x</em> = amount invested at 8 %. Then 23 000 - <em>x</em> = amount invested at 9 %

Annual income (<em>I</em>) = interest at 8 % + interest at 9 %

<em>I</em> = 0.08<em>x</em> + 0.09(23 000 – <em>x</em>)

<em>I</em> = 0.08<em>x</em> + 2070 – 0.09<em>x</em>

<em>I</em> = 2070 – 0.01<em>x</em>

3 0
3 years ago
Other questions:
  • The probability that Leon makes a three-point shot in basketball is 15%. For practice, Leon will regularly
    6·2 answers
  • Question
    13·2 answers
  • Solve for b -5/8b=10
    15·1 answer
  • For a pair of similar triangles, corresponding sides are always congruent.<br> True or false?
    7·2 answers
  • Factor The Expression And Show Work
    5·1 answer
  • Select the correct answer
    9·1 answer
  • Si tienes 5 manzanas para comer durante la semana y te comes el 20% el primer día cuántas manzanas quedan para el resto de la se
    12·2 answers
  • Mark was remodeling his house. He took 26 2/3 square feet from 3 different rooms. What was the average change in square footage
    11·1 answer
  • Divide and simplify 3/4 and 1/2
    7·2 answers
  • Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mp
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!