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ladessa [460]
2 years ago
6

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green

, and blue. There are 10 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point)
Select one:
a. (10/40) * (9/39)
b. (10/40) * (10/39)
c. (10/40) + (9/39)
d. (10/40) + (10/39)
Mathematics
1 answer:
Novay_Z [31]2 years ago
4 0

Answer:

Your answer is:

10 over 40 plus 9 over 39 or C

This is because there are 40 boxes in total. The chance of a white box being handed out is 10/40. If a white box is handed out as a prize, there are going to be 39 boxes left, but only 9 of those 39 boxes would be white.

Ideally, tree diagrams should be used to solve such problems.

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can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a
TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.  

Slope-intercept form is y = mx + b.  If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation.  The slope formula is:

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Using our points in question 5:  (2, 4) (5, 4)

m=\frac{4-4}{5-2} =\frac{0}{3}=0 So m = 0.  Now pick a point and use it in the equation along with the m value to solve for b.  I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.  

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5).  For a line to be parallel to another line, their slopes have to be identical.  The slope in y = 3x + 6 is 3.  So the slope of the "new" line is going to be 3 as well.  Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11).  For a line to be perpendicular to another line, their slopes have to be opposite reciprocals.  Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down.  The slope in our line is -4.  That means that the perpendicular slope is positive 1/4.  Using that along with our point, we will again solve for b:

-11=\frac{1}{4}(-16)+b which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

y=\frac{1}{4}x-7

For question 8, in order to find the line parallel to the given line, you need to know the slope.  In the form it is currently in, we do not know the slope.  We need to put it into slope-intercept form to find the slope, then we will proceeed as above.  If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

y=-\frac{1}{4}x+\frac{3}{2}

(The 3/2 is reduced from 6/4)

Now we can see the slope is -1/4.  We use that along with the point (-8, 5) to solve for b:

5=(-\frac{1}{4})(-8)+b which simplifies to

5 = 2 + b so

b = 3

Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:

y=-\frac{1}{4}x+3

6 0
3 years ago
If you know that 4 of an item costs a certain amount, and you want to find out how much one costs, which operation will you use?
Natalija [7]

Answer:

The answer would be division (B)

Step-by-step explanation:

4x equals the total amount

x equals the cost of one item

Therefore you'd divide total cost by 4 and that would find the cost of one item

6 0
3 years ago
Read 2 more answers
Can someone help me with these questions
Varvara68 [4.7K]

Answer:

1.) can not be found

2.)V=11403.98

3.)

Step-by-step explanation:

volume = π r×r × H

r = Radius

H = height

π = 3.14

the first one does not have a radius so therefore we can NOT find the volume

the second one is π×(11×11) ×30 =11403.98

the 3rd one is π× (10×10) ×5 =1570.79

hope this helped

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3 years ago
What is the answer to question 1
Softa [21]
5.3 repeating is the answer
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3 years ago
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Substitute (= 3 and 1-6 to determine if the two expressions are equivalent.
mezya [45]

Answer:a b d

Step-by-step explanation:

4 0
3 years ago
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