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LekaFEV [45]
3 years ago
9

A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defens

e. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer: B

Step-by-step explanation:

The probability of winning when playing regular defense is 42 over the total 50.  

42/50 = 0.84

The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.

35/50 =  0.70  

0.84 is greater than 0.70 so your more likely to win playing regular defense.

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A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
I need help with this question please?! I'm having a hard time answering it!
Darina [25.2K]

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

4 0
3 years ago
|x+1| = 1/5x+1<br> .......................
Mademuasel [1]

Answer:

x=0, -5/3

Step-by-step explanation:

3 0
3 years ago
PLZ ANSWER ASAP WILL GIVE 50PTS if u explain and mark brainliest!!!!!!!
Vinil7 [7]

Answer:

Step-by-step explanation:

1.

\frac{5q+5p}{2} = 3+4p\\5q+5p = 6+8p \\5q = 6 +3p \\q = \frac{6+3p}{5}    ( a=3,b=6,c=5)

2. q-p = 3p +5

q = 4p+5

4p = q-5

p = (q-5)/4

3. y = 2a -bx^{2}

bx^{2} = 2a - y \\\\x^{2} = \frac{2a - y}{b} \\x = \sqrt{\frac{2a-y}{b}}

8 0
3 years ago
Read 2 more answers
1. Given the equation ​ ​y​ = -3​x​ + 2.5
valentina_108 [34]

Answer:

a. when x=1 so substitute 1 to any X in the given equation.

y=-3(1)+2.5

y=-3+2.5

y=-0.5

b.when x is -1.5 so substitute -1.5 to any x in the equation

y=-3(-1.5)+2.5

y=-4.5+2.5

y=-2

4 0
3 years ago
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