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

Answer:41.7

Step-by-step explanation:let the unknown percent be x

X\100 of 48=20

X/100 x 48 =20

48x/100= 20

Cross multiply

48x =100 x 20

48x = 2000

Divide both sides by 48

X= 2000/48

X= 41.7

Answer:

130

Step-by-step explanation:

Answer: B or 1/2

Step-by-step explanation: not too sure if this is right if not sorry

Answer:

sqrt of 2 is between 1 and 2

The square root of 2 is in between the square of one and the square of 2.

Answer:

6

Step-by-step explanation:

(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6

Denominator is 6.

Answer: d. $2.38

Step-by-step explanation:

Exponential decay function: [tex]Ab^x[/tex], where A = initial value

x= Time mperiod

b = multiplicative decay rate

As per given, we have

A = 38 dollars

b= 0.5

Amount after x years : [tex]38(0.5)^x[/tex]

Then, at x= 4

Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]

[tex]=2.375\approx2.38[/tex]

Hence, the worth of electric can opener after 4 years = $2.38.

So, correct option is d. $2.38

Answer:

25 points.

Step-by-step explanation:

In the second game, you can say the Foosball team scored x points.

In their third game, they would have scored x points, plus 8.

In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.

We would get the following equation...

x + (x + 8) + 3(x + 8) = 117

x + x + 3x + 8 + 24 = 117

5x + 32 = 117

5x = 85

x = 17

So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!

Hope this helps!

Answer:

.

Step-by-step explanation:

Answer: (0, -28)

Step-by-step explanation:

Turn this equation into slope-intercept form.

y-2=5x-30

y=5x-28.

Because the y-intercept is -28, the point (0,-28) must be on the line.

Hope it helps <3

Answer:

2.5

Step-by-step explanation:

42/16.8=2.5

Answer:

w=A/I

2.5in

Step-by-step explanation:

This is the full answer

Answer:

£21,600

Step-by-step explanation:

First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.

Answer:

Step-by-step explanation:

First write the question as an equation

x+y = -5

2x+y = -2

From the given equations, we can create a third one.

x+y+2x+y = -7 or 3x+2y = -7

Use trial and error method for the possible values x and y

We know that at least one of these two have to be negative.

x can be 1, in which case y has to be 5.

Check this for

x+y ≠ -5

x can be -1

Try another one where x = -1 and y has to equal -2

Check this

X

x+y = -5

but,

2x+y ≠ -2

Another one,

Answer:

3 and -8

3 x 2 = 6

6 + -8 = 2

3 + -8 = 5

You have to find out which numbers add up to -5

Mainly trial and error

Step-by-step explanation:

Answer:

-4/7

Step-by-step explanation:

When we simplify the fraction -64/112, we get -4/7.

Answer:

-4/7

Step-by-step explanation:

-64/112 is already a rational number.

Simplify the fraction.

= -4/7

Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Step-by-step explanation:

Answer:

3 mm

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

V=a^3

a=∛1000=10

volume=1000 cm^3=10*10*10

one side =10 cm

to find the measure of AB (the diagonal)=10√3 =17.32

the smallest dispenser has to be greater than 17.32

the smallest amount is 18

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

there are 8 numbers

we want one of them (number 4)

which is 1 in 8

that is:

[tex] \frac{1}{8} [/tex]

Answer: B. 3 hours 30 minutes

Step-by-step explanation:

Time = Distance / Speed

Time = 525 / 150

Time = 3.5

Answer:

The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds

Step-by-step explanation:

In the above question, we are given the equation:

h(t) =-t²+7t.

We are asked to find the time (t) when the ball will be higher than 10 feet.

h(t) = height = 10 feet.

So we have:

10 = -t² + 7t

t² - 7t + 10 = 0

We have a quadratic equation hence we factorise.

t² - 5t - 2t + 10 = 0

(t² - 5t) +(2t - 10)= 0

t(t - 5) + 2 (t - 5) = 0

(t - 2) (t - 5) = 0

t - 2 = 0, t = 2

t - 5 = 0, t = 5

t = 5 and t = 2

Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.

Answer:

Step-by-step explanation:

0.2(20)+6-4(1/2)=4+6-2=8

Answer:

0.2(20)+6-4(112)=4+6-2=8

The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.

It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.

Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:

= 32 + 115 + 33

= 180°

Read related link on:

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Answer:

Step-by-step explanation:

It's B

Answer:

I can confirm the answer is:

D. 40 units

Step-by-step explanation:

I just took the test on edge and got it right!

The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.

We can derive the perimeter by stating:

2x = x + 3 ⇒ x = 3

This is because Δ RSC ≅ Δ TSC

RS = 2 x 3 = 6 = ST

This is because ΔQRC ≅ ΔQVC

TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU

Thus

QR = QV = 10

CΔQSU = 10 + 6 + 10 +14

= 40 Units.

Learn more about perimeter of triangles at:
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There are 9,232,320 ways to split 14 people into seven pairs.

To split 14 people into seven pairs, we need to find the number of ways to arrange the people into those pairs.

Let's break down the process step by step:

1. Selecting the first pair: We have 14 people to choose from for the first person in the first pair. After selecting the first person, we have 13 people remaining to choose from for the second person in the pair. Since the order of selection doesn't matter, we divide by 2 to account for the fact that we have counted each pair twice (e.g., choosing A then B is the same as choosing B then A).

Therefore, the number of ways to select the first pair is (14 * 13) / 2 = 91.

2. Selecting the second pair: We have 12 people remaining after forming the first pair. Similar to the first pair, we have 12 choices for the first person and 11 choices for the second person in the second pair. Again, we divide by 2 to account for the order of selection.

The number of ways to select the second pair is (12 * 11) / 2 = 66.

3. Continuing this process, we select pairs until all 14 people are paired up. Each time, the number of remaining people decreases by 2.

So, the total number of ways to split 14 people into seven pairs is:

91 * 66 * 40 * 24 * 10 * 6 * 2 = 9,232,320.

Therefore, there are 9,232,320 ways to split 14 people into seven pairs.

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Answer:

I think its O-5 I am not sure

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

Answer:

A) 27.6

B) 978.3

C) 42.9

D) 9

Step-by-step explanation:

I'm pretty sure its suppose to b 1 answer but i didn't do this question.

Answer:

A)= 27.6 B)= 978.3 C)= 42.9 D=9

Step-by-step explanation:

Use the Pythagorean theorem:

c^2 = 2^2 + 2^2

c^2 = 4 +4

c^2 = 8

c = sqrt(8)

c = 2.8284

Rounded to nearest tenth = 2.8

Answer:

Lose $25, Gain $5, Gain $45, Stock ABC 40%, 15%, 45%, Stock JKL 15%

Step-by-step explanation:

Answer:

E. (x³/360)π square units

Step-by-step explanation:

The area of a sector has a formula.

θ°/360° × πr²

The radius is x units, the central angle of the sector is x°.

x/360 × πx²

x/360 × x² × π

x³/360 × π

The area of the sector is equal to (x³/360)π square units.

Answer:

Step-by-step explanation:

In arithmetic progression common difference is given by

d = nth term - (n-1)th term.

In geometric progression common ratio is given by

r = nth term / (n-1)th term.

Another thing  important to note is that in both AP and GP common difference and common ratio remains same for any two consecutive terms which can be calculated using above formula.

we will be using this concept to solve this problem.

________________________________

Let look at the problem

series

11, 6 ,1

Lets try to find common difference for this series

common difference of third and second term = 1-6 = -5

common difference of  second term and first term = 6 -11 = -5

Thus, we see that common difference is same in both case ,

hence it can be concluded that series is Arithmetic progression.

another way to validate this is

nth term of AP is given by

nth term = a + (n-1)d

where a is first term

lets try to find third term using this formula and using d = -5 and a = 11

3rd term = 11 + (3-1)-5 = 11 + 2*-5 = 11- 10 = 1

Thus, we see that third term calculated is same as given in series i.e 1

Hence series is Arithmetic progression validated as well.

______________________________________________

Problem is solved but lets see if the series is GP or not

common ratio of third and second term = 1/6 = 1/6

common ratio of  second term and first term = 6 /11

Thus, we see common ratio is not same for the two consecutive term in the series and hence series cannot be geometric progression.

Answer:

Rectangle B has a length of 4 inches.

Step-by-step explanation:

Rectangle A has a width of 3 inches and a length of 5 inches.

Let us find its perimeter:

Perimeter = 2(L + W)

where L = length

W = width

Its perimeter is therefore:

P = 2(5 + 3)

P = 2 * 8 = 16 inches

Rectangle B has the same perimeter as Rectangle A. Let us find the length of B.

Its width is 4 inches, therefore, perimeter is:

P = 2(L + W)

16 = 2(L + 4)

16 = 2L + 8

16 - 8 = 2L

8 = 2L

=> L = 8 / 2 = 4 inches

Rectangle B has a length of 4 inches.