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AURORKA [14]
2 years ago
5

Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down

a goal or two. One analyst reports that in 40% of those games in which a goalie was pulled a goal was scored with one empty net, and of those goals scored 25% were scored by the team that pulled the goaltender. Given that the goalie has been pulled by a team, what is the probability that team will score a goal?
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
5 0

Answer:

Step-by-step explanation:

so 30% of the total number of goals shot is 5

30% of what number is 5....turn ur percent to a decimal..." of " is multiply

let the number of shots represent x

0.30x = 5...divide borh sides by 0.30

x = 5/0.30

x = 16.66 shots

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Calculate 8 ∙ 10-4 divided by 2 ∙ 102. (box after the "10" in answer is for the exponent.). ∙ 10
Korolek [52]

Given problem: \frac{8*10^{-4}}{2*10^2}.

Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.

So, we need to simplify 8 over 2 first.

If we divide 8 by 2, we get 4.

Now, let us work on 10's and their powers.

10^{-4} is being divided by 10^{2}.

We can apply quotient rule of exponents remaining part.

According to quotient rule of exponents, \frac{a^m}{a^n}=a^{m-n}

If we apply same rule, we need to subtract exponents of 10's.

\frac{10^{-4}}{10^2}=10^{-4-(-2)}

If we simplify exponent part -4-(-2), it will give us -4+2 =-2.

So, 10^{-4-(-2)}=10^{-2}

And final answer would be 4 \times 10^{-2}.


6 0
3 years ago
In an algebraic expression, what separates the terms
BartSMP [9]
The math symbols like +,-,/,x, or =.
7 0
3 years ago
In the diagram below. C is an equal distance to A and B.
Fynjy0 [20]

Answer:

C(50;-20)

Step-by-step explanation:

The question is asking for the midpoint of the line.

The triangle is formed by placing a line directly from the y-axis to the x-axis.

The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].

your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.

Your coordinates for B are (100;0)

C[(x1+x2)/2 ; (y1+y2)/2 ]

C [(0+100)/2 ; (-40+0)/2 ]

C[ 100/2 ; -40/2]

C (50 ; -20)

7 0
2 years ago
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svet-max [94.6K]

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2(x^{2}-4x+4)

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Factor the other Polynomial.

3x^{2}+27x-30

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3(x+10)(x-1)

This is your answer.

6(x-2)^{2}(x+10)(x-1)

7 0
3 years ago
Solve for x 1/2 x=20 1/40 1/10 10 40
lana [24]
1/2 x = 20
x = 2 x 20 = 40
3 0
3 years ago
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