answer.
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
valentina_108 [34]
2 years ago
7

An athletic coach conducted an experiment to test whether a four week strength training program will reduce the number of muscul

ar injuries that occur during athletic events. The coach randomly selected 30 athletes from several sports and assigned 15 athletes to a four week strength training program. The remaining 15 athletes did not participate in any type of strength training program during the four weeks of the program. After the program was completed, the coach monitored each of the 30 athletes for five athletic events. At the end of this process, he reported that the average number of muscular injuries for athletes enrolled in the strength training program is equal to the average number of muscular injuries for athletes not enrolled in the strength training program. What can be concluded from the coach's report? A. There is not enough information to make any conclusions regarding the coach's report. B. It can be concluded that the strength training program does not reduce the number of muscular injuries that occur during an athletic event. C. It can be concluded that the strength training program increases the number of muscular injuries that occur during an athletic event. D. It can be concluded that the strength training program reduces the number of muscular injuries that occur during an athletic event.
Mathematics
1 answer:
Butoxors [25]2 years ago
8 0

Answer: B. It can be concluded that the strength training program does not reduce the number of muscular injuries that occur during an athletic event.

Step-by-step explanation: In the question it states the average number of muscular injuries for athletes enrolled in the strength training program is equal to the average number of muscular injuries for athletes not enrolled in the strength training program.

You might be interested in
Use complete sentences to describe the range of the sine function.
MA_775_DIABLO [31]
The Range of a function is the set of all values that that function can take.

Given the sine function f(x)=sinx,

This function is the function which calculates the sine of the values of x.

According to the definition of the sine of an angle x in the unit circle, 

-1 \leq sinx \leq 1,

so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.

This means that the values that the sine function takes are any values between -1 and 1, inclusive.

This determines the Range of the sine function. 

So the Range of the sine function is [-1, 1]
3 0
2 years ago
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as
lubasha [3.4K]

Answer:

l = \sqrt[3]{\frac{2V}{7}}     b = \sqrt[3]{\frac{2V}{7}}       h = \sqrt[3]{\frac{49V}{4}}

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

V = l * b * h

Make h the subject of the formula

h = \frac{V}{lb}

The surface area (S) of the aquarium is:

S = lb + 2(lh + bh)

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

C = 7 * lb + 1 * 2(lh + bh)

C = 7lb + 2(lh + bh)

C = 7lb + 2h(l + b)

Substitute \frac{V}{lb} for h in the above equation

C = 7lb + 2*\frac{V}{lb}(l + b)

C = 7lb + \frac{2V}{lb}(l + b)

C = 7lb + \frac{2V}{b} + \frac{2V}{l}

Differentiate with respect to l and with respect to b

C_l=7b - \frac{2V}{l^2} =0

C_b=7l - \frac{2V}{b^2} =0

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}

7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}

By comparison:

l =b

C_l=7b - \frac{2V}{l^2} =0 becomes

7l - \frac{2V}{l^2}=0

7l = \frac{2V}{l^2}

Cross Multiply

7l^3 = 2V

Solve for l

l^3 = \frac{2V}{7}

l = \sqrt[3]{\frac{2V}{7}}

Recall that: l =b

b = \sqrt[3]{\frac{2V}{7}}

Also recall that:

h = \frac{V}{lb}

h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}

h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}

Apply law of indices

h = \sqrt[3]{\frac{49V^3}{4V^2}}

h = \sqrt[3]{\frac{49V}{4}}

The dimension that minimizes the cost of material of the aquarium is:

l = \sqrt[3]{\frac{2V}{7}}     b = \sqrt[3]{\frac{2V}{7}}       h = \sqrt[3]{\frac{49V}{4}}

8 0
2 years ago
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

y -----> the population of a small town

t ----> the number of years

we have a exponential function of the form

y=a(b)^{t}

where

a is the initial value

b is the base

In this problem

a=9,400\ people

b=100\%-14.3\%=85.7\%=85.7/100=0.857

substitute

y=9,400(0.857)^{t}

Remember that

The town's tax status will change once the population is below 6,000 people

so

The inequality that represent this situation is

9,400(0.857)^{t}< 6,000    

Solve for t

(0.857)^{t}< 6,000/9,400

Apply log both sides

(t)log(0.857)< log(6,000/9,400)

-0.067t< -0.1950

Multiply by -1 both sides

0.067t > 0.1950

t > 2.9\ years

so

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

6 0
2 years ago
Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo
kap26 [50]

Answer:

40,999

Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

5 0
2 years ago
Acasa Insurance Company offers several plans for home insurance.
astraxan [27]

The answer is -500, hope this helped

5 0
2 years ago
Other questions:
  • On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd,
    13·1 answer
  • jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus
    12·2 answers
  • The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the
    10·2 answers
  • Which are perfect squares? Check all that apply. 49 17 9 143 225
    9·2 answers
  • Triangle ABC is an obtuse triangle with the obtuse angle at the vertex B angle A must be?
    7·2 answers
  • To determine whether they need to hire extra help for the holiday season, the managers of a railroad company want to estimate ho
    13·1 answer
  • A factory produces 6 motorcycles in 9 hours. How many hours will it take to produce 16 motorcycles at this rate ?
    14·1 answer
  • The graph shows a vertical translation of y = RootIndex 3 StartRoot x EndRoot.
    9·2 answers
  • In right triangle ABC, angle A and angle B are complementary angles. The value of cos A is 9/41. What is the value of sin B?
    15·1 answer
  • An electrical engineer has on hand two boxes of resistors, with five resistors in each box. The resistors in the first box are l
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!