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bekas [8.4K]
2 years ago
12

A ball is drawn at random from a box containing 12 red,18

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
7 0

<u>Answer:</u>

<u>For a:</u> The probability of getting a red or blue ball is 0.48

<u>For b:</u> The probability of getting a white, blue or orange ball is 0.81

<u>For c:</u> The probability of getting neither white or orange ball is 0.48

<u>Step-by-step explanation:</u>

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}     .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

  • <u>For a:</u>

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48

  • <u>For b:</u>

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81

  • <u>For c:</u>

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

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Janelle has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
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Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back 

8 0
2 years ago
On the graph shown, what is f(-2)
WARRIOR [948]

Answer:

3 because when x=2 the lines are at y 1 and 3, but the y 1 isn't shaded, so the answer is 3

3 0
2 years ago
The expression 7+3x+4 represents the perimeter of the triangle. Simplify the expression.
anyanavicka [17]

Answer:

-3.6

Step-by-step explanation:

Simplifying

7 + 3x + 4 = 0

Reorder the terms:

7 + 4 + 3x = 0

Combine like terms: 7 + 4 = 11

11 + 3x = 0

Solving

11 + 3x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 3x = 0 + -11

Combine like terms: 11 + -11 = 0

0 + 3x = 0 + -11

3x = 0 + -11

Combine like terms: 0 + -11 = -11

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x = -3.666666667

Simplifying

x = -3.666666667

4 0
2 years ago
The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
Liono4ka [1.6K]

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

L = 2.5 feet

Hence,

2.5 = 0.55W

W = 2.5/0.55

W = 4.5454545455 pounds

Approximately, weight of the sea turtle in pounds = 4.55 pounds

5 0
3 years ago
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