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dem82 [27]
4 years ago
13

Gavin and Jack are practicing shots against their goalie. On their last 15 attempts, Gavin made 6 and Jack made 7. Based on this

performance, what is the probability that they both make their next shot?
Mathematics
1 answer:
statuscvo [17]4 years ago
5 0

Answer:

\dfrac{14}{75}

Step-by-step explanation:

Gavin made 6 out of 15 shots, so the probability that Gavin's next shot will be  successful is

\dfrac{6}{15}=\dfrac{2}{5}

Jack made 7 out of 15 shots, so the probability that Jack's next shot will be  successful is

\dfrac{7}{15}

The probability that they both make their next shot successfully is

\dfrac{2}{5}\cdot \dfrac{7}{15}=\dfrac{14}{75}

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3 years ago
(05.05) Which of the following inequalities matches the graph? (1 point)​
alexira [117]

Answer:  Choice A.   x \le -7

=====================================================

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

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  • (-10, 2)
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The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

6 0
3 years ago
The ____ property allows you to regroup terms using parentheses when adding or multiplying
Vadim26 [7]

Answer:

  "associative"

Step-by-step explanation:

The associative property lets you change the grouping of terms of a sum or of a product.

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For example, you can rewrite

  (5 + 4·3) -2

as

  5 + (4·3 -2)

but the associative property does NOT allow you to change the grouping to ...

  (5 +4)·3 -2 . . . . . not a valid rewrite

4 0
3 years ago
Find x and y<br><br> Don’t argue in the comments I actually need help
igor_vitrenko [27]
X=132

To find y
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7 0
3 years ago
Read 2 more answers
Please help!!!! 30 pts
Sedbober [7]

We are given equation:

5/6 x -2 = -2/3 x +1.

Note: when we have fracions in an equation, we always try to get rid fractions by removing denominator parts.

In the given equation we have 6 and 3 in denominator. So, we need to find the common denominator (lowest common denomiantor) of 6 and 3.

The lowest common denomiantor of 6 and 3 is 6.

So, equation is being multiplied by 6 on both sides.

Therefore,

Step 1) Multiply each side by LCD of fractions.

6 ( 5/6 x -2 ) = 6 (-2/3 x +1)

Step 2) Use distributive property to simplify above step, we get

6* 5/6 x = 5x

6 * -2 = -12

6 * -2/3 x = -4x and

6 * 1 = 6.

Therefore, we get

5x - 12 = -4x + 6 on simplifying second step.

Step 3) We use Addition property of Equality in third step.

Because we have -4x on right side, and the reverse operation of subtraction is addition.

5x - 12 = -4x + 6

+4x        +4x    Step 4) Here we just did simplification of above step.

____________________

9x -12  = 6

  +12   +12     Step 5) Again applied Addition property of Equality to get rid -12 from left side.  

_______________

9x  = 18         Step 6) Here we just did simplification of above step.

Step 7) Because 9 is being multiplied with x on left side. To get rid 9 from left side we need to apply reverse operation of multiplication.

Therefore, Division property of equality is used there by dividing 9 on both sides.

9x/9 = 18/9  

Step 8) Again did simplification of above step.

x=2 Final answer.

3 0
3 years ago
Read 2 more answers
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