Two friends, Bob and Ben, each buy one lottery ticket. Each ticket contains six numbers from a total of one hundred numbers (0–99). Bob chooses the numbers 1, 2, 3, 4, 5, 6, and Ben chooses the numbers 39, 45, 66, 72, 74, 89. Who has a higher probability of winning?

Answer:

Step-by-step explanation:

width of a rectangle=11 cm=11*5=55 ft

length of  rectangle =8 cm= 8*5=40

Area=55*40=2220 ft²

height=3 cm=3*5=15

base=11 cm=11*5=55

Area of a triangle=base*height/2=15*55/2= ft^2

2220+412.5=2632.5 ft^2

this number is close to 2615 if the square unit on the grid =1 cm

Answer:

grams.

Step-by-step explanation:

We have been given that a closed container has atoms of a gas. Each atom of the gas weighs grams.

To find the total mass, in grams, of all the atoms of the gas in the container, we will multiply number of atoms with mass of each atom.

Using exponent property , we will get:

Therefore, the approximate total mass, in grams, of all the atoms of the gas in the container is grams.

Answer:

Step-by-step explanation:

Since the lines are parallel to each other that means they have the same gradient. So use the gradient formula y=mx+c where m is the gradient rearrange 3x-2y=10 using the formula to become -2y=-3x +10

divide both sides by -2 so that m=1.5. It passed through the point (2,2) use the equation of a line formula to find the the answer.

[{y - 2}/{x -2}=1.5

cross multiply to get 1.5x-y=1

hope that helps

Final answer:

The equation of the line parallel to 3x - 2y = 10 and passes through the point (2,2) is y = 1.5x -1 in slope-intercept form, and 3x - 2y = -2 in standard form.

Explanation:

First, we must find the slope of the line parallel to the given line 3x - 2y = 10. The slope of this line, written in the form ax + by = c, is -a/b, so the slope is -3/(-2) = 1.5. The equation of the line we want to find has this same slope. This is because parallel lines have the same slope.

To find our line, we use the point-slope form of an equation y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through. Plugging in given point (2,2) and the slope 1.5, the equation becomes y - 2 = 1.5(x - 2). Simplifying it, we get y - 2 = 1.5x - 3. Adding 2 to both sides gives our line in slope-intercept form: y = 1.5x -1.

To express the equation in standard form, we manipulate the equation to be in the form Ax + By = C. Multiplying the equation by 2 to remove fractions gives us y * 2 = x * 3 - 2, so the line in standard form is 3x - 2y = -2.

Learn more about Line Equations here:

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Answer:

12

Step-by-step explanation:

Answer:19.4

Step-by-step explanation: