Artificial turf in on athletic fields was first introduced in the 1960s. Its safety has been controversial since then. One issue that has been investigated is whether injuries of football players tend to be more serious on artificial turf than grass. A study followed 24 NCAA division 1A college football teams over three seasonsIn total there were 1050 injuries that occurred on field turf. Of the field turf injuries, 83.3333% were minor and 10.857% were substantial.

77.972% of grass injuries were minor.

4.26% of injuries occurred on grass were severe.

(There is a total of minor injuries on grass and on field turf is equal to 1813.

How many injuries were severe and occurred on field turf? Write your answer as an integer.

How many injuries were severe? Write your answer as an integer.

Answers

Answer 1

Answer: 1. Out of 1050 injuries that occurred on field turf:
$(1050)(0.8333) = 875$ were minor and $(1050)(0.10857) = 114$ were substantial. This leaves 1050 - 875 - 114 = 61 severe injuries.

2. If there were 1813 total minor injuries, and 875 were on field turf, then 1813 - 875 = 938 were on grass. This is 77.972% of all grass injuries, so $0.77972x = 938$ gives $x = 1203$ total grass injuries.

Since 4.26% of grass injuries were severe, this is (1203)(0.0426) = 51 severe grass injuries. Adding this to the 61 severe turf injuries gives a total of 112 severe injuries.

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A decorative gift box is in the shape of atriangular prism as shown. What is the
surface area of the box?

12.5 in.
10 in.
5 in.
7.5 in.

Answers

Answer:

The surface area is: 225 in²

Step-by-step explanation:

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I'm here to answer your question!

Area of each triangular base:

$(1)/(2)(7.5)(10)=37.5$

Area of the rectangular faces:

$5 * 10=50$

$5 * 12.5=62.5$

$7.5 * 5=37.5$

Add to find the surface area:

$37.5+37.5+50+62.5+37.5=225$

Thus, the surface area is : 225²

Answer:

Step-by-step explanation:

A $1,500 loan has an annual interest rate of 4 1/4% on the amount borrowed. How much time has elapsed if the interest is now $127.50?

Answers

$ $127.50=1,500(0.0425)*x$

$ $127.50 = 63.75 *x$

$x = (127.50)/(63.75)$

$x = 2$

2 years elapsed.

hope this helps!

Answer:

2 years

Step-by-step explanation:

Given : A $1,500 loan has an annual interest rate of 4 1/4% on the amount borrowed.

To Find : How much time has elapsed if the interest is now $127.50?

Solution :

Formula of simple interest : principal *rate *time

Principal = $1,500

Rate (in decimals ) $4(1)/(4*100) =(17)/(4*100) =0.0425$

Time (in years)

Simple interest = $127.50

Putting values in formula

$127.50 = 1500*0.0425*time

127.50 = 63.75*time

$(127.50)/(63.75)$ = time

2 years = time

Thus time will be 2 years

Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long. If the wall is 8 feet tall, what is the area of the wall?

Answers

Length of the bottom edge of the wall (a) = 22.5 feet
Length of the top edge of the wall (b) = 9.5 feet
Height of the wall (h) = 8 feet
Then
Area of the wall = [(a + b)/2] * h
      = [ (22.5 + 9.5)/2] * 8 square feet
   = (32/2) * 8 square feet
   = 16 * 8 square feet
   = 128 square feet
As can be seen from the above deduction, the area of the wall is 128 square feet. I hope the procedure is not complicated for you to understand. You can normally use this method in future for solving similar type of problems without requiring any additional help.

I need the answers for these please

Answers

11.p=-8, 17-8=9
12.y=11, 3*11=33+16=46
13.t=4, 4*4=16-14=2
14.x=9, -9x 9*8=82-9=72-9=62
15.z=4, 12*4=48-18=30
16.g=0, 4*0=0, 7+0=7
17.x=4, 9*4=36-24=-3
18.q=3, 18*3=48+2=50
19.c=2, 3*2=6-4.5=4.1
20.y=4, 9+4=13+4.8=17.4

A prism has the surface area of 100 cm². What sentence describes the effect of measuring the surface area in square millimeters?A. The Surface area increases

B. The Surface area decreases

C. The surface area stays the same, but the number representing the surface area increases.

D. The surface area stays the same, but the number representing the surface area decreases.

Answers

Answer:

A. The surface area stays the same, but the number representing the surface area increases.

Answer:

Step-by-step explanation:

A baby weighed 3.2 kg at birth. She gained 0.17 kg per week. She now weighs 5.75 kg. How old is she now?

Answers

5.75 (weight now) - 3.2 (weight at birth) = 2.55 (how much weight she has gained)

2.55 (how much weight she has gained) / 0.17 (weight gained per week) = 15 weeks

The baby is 15 weeks old.

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