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3 years ago

Find the probability of rolling a 6 on a number cube and flipping heads on a coin

2 answers:

5 0

There are 6 sides on the number cube and you want to roll a 6. You would have a 1 out of 6 chances on getting a 6, or 1/6.

Percentage: 16.66667

There are 2 sides of a coin and you want to flip heads. You would have 1 out of 2 chances, or 50/50, on getting heads, or 1/2.

Percentage: 50%

serious [3.7K]3 years ago

4 0

Assuming that the number cube is 6 sided

6 is one number in a 6 sided cube, so the probability is: 1/6

heads is one side of the coin, with two in all: 1/2

Multiply the two fractions together

1/6 x 1/2 = 1/12

1/12 is your probability

hope this helps

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Please help 100 points and brainlest for all the answers

masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

$y=16x$

If $x=10,$ then $y=16\cdot 10=160$ square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

$y=0.45x$

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

$y=12.5x$

When $x=14,$ then $y=12.5\cdot 14=175$

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is $40\div 5=8$

and for x = 700, y must be $7\cdot 8=56$ not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is $k=1.75$

The equation of proportionality is $y=1.75x$

When $y=28,$ then

$28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16$

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

$k=\dfrac{61}{2}=30.5$

The equation of proportional relationship is

$y=30.5x$

When $y=274.50,$ then

$274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9$

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

$y=kx$

Circle all equations in this form:

$y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x$

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

4 0

3 years ago

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What is the slope of this line?<br> It has the points of (-8,2) (0,2) and (7,2)

tresset_1 [31]

Answer:

Well the slope would be 0 because the y doesn't change. So if y is same it is 0, if x remains the same Slope is undefined, and then there is normal slope.

Step-by-step explanation:

3 0

3 years ago

If five times a number plus two is 17 what is the number

natali 33 [55]

Then number is 3 because 3 times 5 is 15 and 15 plus 2 is 17. Hope this helps.

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3 years ago

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If x2 = 30, what is the value of x?

hammer [34]

Answer: