Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?

Red Candy = 5

Green Candy = 6

Blue Candy = 11

Total Candies = 22

Probability = Possible Outcomes/Total Outcomes

Red + Green = 11

Total outcomes = 22

Probability = 11/22

= 1/2

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There is 6.19% chance of drawing a red and green candy from the bowl.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this case, we are interested in finding the probability of drawing a piece of red and green candy from a bowl containing red, green, and blue candies. To calculate this probability, we will use the concept of independent events and the formula for probability.

We have a bowl with a total of 5 red candies, 6 green candies, and 11 blue candies. The total number of candies in the bowl is 5 + 6 + 11 = 22.

We are drawing two candies from the bowl, and after each draw, we replace the candy back into the bowl. This means that the number of candies remains the same for each draw.

To calculate the probability of drawing a red and green candy, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of favorable outcomes is the number of ways we can draw one red candy and one green candy.

We can draw a red candy in 5 ways (since there are 5 red candies), and we can draw a green candy in 6 ways (since there are 6 green candies). Therefore, the number of favorable outcomes is 5 * 6 = 30.

The total number of possible outcomes is the total number of ways we can draw two candies from the bowl. Since we are replacing the candies after each draw, the total number of possible outcomes for each draw is equal to the total number of candies in the bowl, which is 22. Since we have two draws, the total number of possible outcomes is 22 * 22 = 484.

Now, we can calculate the probability of drawing a red and green candy by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 30 / 484

Probability ≈ 0.0619

Therefore, the probability of drawing a piece of red and green candy from the bowl is approximately 0.0619 or 6.19%.

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Answer:

A = 96 inches ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h  where b1 and b2 are the bases and h is the height

A = 1/2( 14+10)*8

A = 1/2(24)*8

A = 12*8

A = 96 inches ^2

The area of trapezoid is given

A = 1/2 (b1+b2)h where b1 and b2 is base and h is height

A = 1/2 (14+10)*8

A = 1/2 (24)*8

A = 12 * 8

[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]

Answer:

24aprtment3

Step-by-step explanation:

Answer:

Approximately 17 stars

Answer:

1/24 (fraction form)

hope this helps

Answer:

let f(m) = u

multipling both sides by 2

We have 2f(m)=m

therefore m=2

I think the length is 17.75cm and the width is 12.75 cm

I'm not entirely sure whether it's the smallest possible length but it works on the calculator

17.75*2+12.75*2=61

Answer:

540 is the answer

Step-by-step explanation:

hope u liked!

Answer:

(i): $10.20

(ii): $32:51

Step-by-step explanation:

(i) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $1.80

3. subtract the discount, $1.80, from the original price, $12: $10.20

(ii) 1. put the percentage of the discount into a decimal: 0.15

2. multiply 0.15 by the sale price to find the amount of the discount: $5.74

3. subtract the discount, $5.74, from the original price, $38.25: $32.51

(i) The sale price of the book of original price $12 is $10.20.

(ii) The original price of the jacket is $38.25.

The percentage is a calculation method for every 100.

The original price of a book is $12.

In a sale the original prices are reduced by 15%.

∴ Price reduced = $(12*15%)

=$ 1.80

Hence, the sale price is = $(12-1.80)

=$10.20

The discounted price is the price a buyer pays after getting a discount of marked price.

Here, the sale reduces price by 15%

The discounted price is equivalent to = (100-15)%

=85%

By the condition ,

85% = $38.25

∴100%= $(38.25/85*100)

=$ 45

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Answer:

the answer is b, 8 units right, and 5 units up

Step-by-step explanation:

The image of △JKL after a translation of 8 unit right and 5 units up to   △J"K" L directly.

The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.

Given  Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

and  Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',

and  Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)

change in J to J" is (5 - (-3), 9- 4) =(8 , 5),

same for K to K" and L to L"

ΔJKL moves 8 units right and 5 units up to  △J"K"L"

Hence  8 units right and 5 units up  translation would move △JKL to △J"K" L directly.

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2x-y = 0

=============================================

Work Shown:

x = (1/2)y

2x = y ... multiply both sides by 2

2x-y = 0 ... subtract y from both sides

This is in standard form Ax+By = C, where A,B,C are integers. In this case, A = 2, B = -1, C = 0.

Answer:

32 of them would be unhealthy. this is because 25 times 4 equils 100, so 8 times 4 equils 32.

Answer:

32 healthy snacks

Step-by-step explanation:

-set up an equivalent fraction to keep the same proportion

8 healthy / 25 snacks = ? healthy / 100 snacks

-solve for ? healthy

8/25 = ?/100, cross multiply

25 * ? = 8*100 , divide both sides by 25

? = 800/25 = 32 healthy snacks

* you can also think that 100 is 25 four times,

so the healthy snacks are 8*4 =32

Answer:

24

Step-by-step explanation:

We need to find 60% of 40

60% * 40

.60 *40

24

He makes 24 shots

Step-by-step explanation:

60%/100%×40

60%/10%×4 (0 is cancelled)

6×4 (60 and 10 Cancelled)

24 Answer

Answer:

5.3 cents

Step-by-step explanation:

85/16

because all 16 ounces cost 85 cents

Answer:

5.3 cents.

Step-by-step explanation:

Answer:

a²-7ab+7b²-2

Step-by-step explanation:

3a²-5ab+7b²+3 - ( 2a²+2ab+5 ) = 3a²-5ab+7b²+3 - 2a²-2ab-5 = a²-7ab+7b²-2

Answer:

substitute for v, when v = -2.9

Step-by-step explanation:

[tex]-1.98=5.2v+13.1[/tex]

subtract 13.1 on both sides.

[tex]-15.08=5.2v[/tex]

divide by 5.2 to isolate v

[tex]\frac{-15.08}{5.2} = \frac{5.2v}{5.2}[/tex]

[tex]-2.9=v[/tex]

substitute for v

[tex]-1.98=5.2(-2.9)+13.1[/tex]

[tex]-1.98=-15.08+13.1[/tex]

[tex]-1.98=-1.98[/tex]

Answer:

4/15

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the bag contains 2 yellow and 4 orange marbles, the probability of picking a

Yellow marble = 2/(2+4) = 2/6

Orange marble = 4/(2+4) = 4/6

The probability of picking a yellow marble and an orange  marble without replacement

= 2/6 * 4/5

= 8/30

= 4/15

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

Answer:

3x + 11

Step-by-step explanation:

1) Remove Parentheses:

x + 4 + 2x + 7

2) Combine Like Terms:

(2x + x) and (4 + 7)

3) Simplify:

3x + 11

Hope this helps, good luck! Have a good day. :)

Answer:

The father is 40 years old, and his daughter is 10 years old.

Step-by-step explanation:

Given that a father is four times the age of his daughter, and after 5 years, he would be 3 times of daughter's age, then further after 5 years, to determine how many times he would be of his daughter's age, the following calculation must be done:

F = 4D

F + 5 = 3D

F = 40

D = 10

40 + 5 = 3 x (10 + 5)

45 = 45

Therefore, the father is 40 years old, and his daughter is 10 years old.

Answer:

c

Step-by-step explanation:

Profit = 4.5 (240)-1080 = 0

the maximum profit would occur when u sell all 350 tickets,

profit = 4.5(350)-1080 = 495 (not a nor b)

Answer:

The statement that is true is C

Answer:76

Step-by-step explanation:

something amazing

Answer:

96 dollars and 50 cents

Step-by-step explanation:

Answer:

9. Hypotenuse = √(19.1²+11.3²) = √492.5 = 22.2 m²

10. Area = (34×40)/2 + (17²×π/2)

= 680 + 453.96

= 1133.96 cm²

Answered by GAUTHMATH

Hello,

Answer: 2.5 (rad)

[tex]L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\[/tex]

Answer:

The overall range is 20

Step-by-step explanation:

Given

The above dataset

Required

The overall range

Range is calculated as

[tex]Range = Highest - Lowest[/tex]

The highest of the dataset is 22, and it can be found in  Milkweed.

The lowest of the dataset is 2, and it can be found in  Daisy

So, the range is:

[tex]Range = 22 - 2[/tex]

[tex]Range = 20[/tex]

Answer:

(I don't have the complement sign of sets, so I've used "©" to denote compliment)

L.H.S.

(B-A)∪C

= (B∩A©)∪C

= (B∪C)∩(A©∪C)

= (B∪C)∩(A-C)©

= (B∪C)-(A-C) = R.H.S.

(Proved)

5.51181102 feet (5 feet 6 9⁄64 inches)