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3 years ago

Find the approximate side length of a square game board with an area of 131 in2.

Mathematics

1 answer:

eduard3 years ago

6 0

Answer:

11.4

Step-by-step explanation:

You find the square root

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On each turn of the knob, a gumball machine is equally likely to dispense a red, yellow, green or blue gumball, independent from

laiz [17]

Answer:

$P(R_2Y_2C_2B_2) = 0.03845$

Step-by-step explanation:

Given

$Balls = 4$ --- [R, Y, C and B]

$Turns = 8$

Required

$P(R_2Y_2C_2B_2)$

Since each of the 4 balls are equally likely, their probability is:

$P(R) = P(Y) = P(C) = P(B) = \frac{1}{4}$

From $P(R_2Y_2C_2B_2)$ , we have:

$R = Y = C = B = 2$

$Total = 8$

So, the total arrangement of the 8 balls is:

$Arrangement = \frac{8!}{2!2!2!2!}$

$Arrangement = \frac{40320}{2*2*2*2}$

$Arrangement = \frac{40320}{16}$

$Arrangement = 2520$

The individual probability of each ball, when put together is

$Probability = P(R)^2 * P(Y)^2 * P(C)^2 * P(B)^2$

$Probability = (1/4)^2 *(1/4)^2 *(1/4)^2 *(1/4)^2$

$Probability = (1/16) *(1/16) *(1/16) *(1/16)$

$Probability = \frac{1}{65536}$

Lastly:

$P(R_2Y_2C_2B_2) = Arrangement * Probability$

$P(R_2Y_2C_2B_2) = 2520 * \frac{1}{65536}$

$P(R_2Y_2C_2B_2) = \frac{2520 }{65536}$

$P(R_2Y_2C_2B_2) = 0.03845$

8 0

2 years ago

Peter tracks the goals he scores in 9 soccer games. In two games Peter scored 2 goals each, in one game he scored 0 goals, in tw

Reika [66]

The average number of goals per game Peter scores, rounded to one decimal place is 1.6

<u><em>Explanation</em></u>

In first two games Peter scored 2 goals each. So, total score in two games = (2×2)= 4

In one game he scored 0 goal and in next two games he scored 3 goals each, so the total is (3×2)= 6

In the last four games he scored 1 goal in each, so the total is (1×4)= 4

So, the total score in all $9$ games $=4+0+6+4=14$

Thus, the average number of goals $= \frac{14}{9}= 1.5555....$

So, the average number of goals per game Peter scores, rounded to one decimal place is 1.6

3 0

3 years ago

Read 2 more answers

What is the solution to 39/45 - 2/3

julia-pushkina [17]

Answer:

0.2

Step-by-step explanation:

just subtract

4 0

2 years ago

Determine whether or not the relation is a function. Please help asap

OLga [1]

Answer:

A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function

Step-by-step explanation:

4 0

2 years ago

A system of equations is given below:

My name is Ann [436]

Solving by substitution:

y = 4x - 3

2x + 7y = 41

Let us substitute the first equation y = 4x - 3 into the second.

2x + 7y = 41

2x + 7(y = 4x -3) = 41

2x + 7(4x -3) = 41

So that's the third option.

I hope this helps.

4 0

3 years ago

Read 2 more answers