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Masja [62]
2 years ago
13

There are 2 blue, 6 yellow, 10 red, 3 green, 5 orange, and 4 purple marbles in a jar. What is the probability that a red marble

is chosen
Mathematics
1 answer:
seraphim [82]2 years ago
6 0

Answer:

1/3

Step-by-step explanation:

sum of numbers = 30 marbles

probability = 10/30 or simplified 1/3

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Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

5 0
3 years ago
Please help Thank yourself
7nadin3 [17]

Answer:

75°

Step-by-step explanation:

There are 180° in a triangle, so using the ratios and the 180° setup an equation. Solve for x.

5x + 9x + 10x = 180

24x = 180

24x/24 = 180/24

x = 7.5

To find the largest angle measure, use 10x since 10 is bigger than 5 and 9.

10x

10(7.5)

75°

7 0
2 years ago
Andy's weight is 5 kilograms less than twice his brother's. Together they weigh 100 kilograms. What are their weights?
lakkis [162]

Answer:

Step-by-step explanation:

Let x be the brother's weight.

Then 2x-5 is Andy's weight.

x+(2x-5)=100

3x-5=100

3x=105

4 0
3 years ago
Factor. x^2-5x-84 pls help
vagabundo [1.1K]

Answer:

(x-12) (x+7)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
One batch of fruit punch contains 1/3 quart grape juice and 1/5 quart apple juice. Colby makes 11 batches of fruit punch. How mu
zhuklara [117]

Answer:

3.66666666667

Step-by-step explanation:

If you multiply the number of batches he makes and the amount of grape juice he needs for every quart, you get and answer of 3.66666666667.

1/3 * 11= 3.66666666667

If you need to round the answer it would be 3.67

8 0
3 years ago
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