A jar contains 7 blue cubes,4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the probability that the object is green or a cube?

Answers

Answer 1

Answer: The answer is 9/11.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. So, we need to calculate the probability of two different events - the one is that the object is green, and the other is that the object is a cube.
1. The probability that the object is green:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 11 green objects (5 green cubes + 6 green spheres = 11 green objects).
So, there are 11 green objects out of 22 objects. Therefore, the probability that the object is green is 11/22.

2. The probability that the object is the cube:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 12 cube objects (7 blue cubes + 5 green cubes).
So, there are 12 cube objects out of 22 objects. Therefore, the probability that the object is green is 12/22.

Now, using the addition rule, we could calculate the probability that the object is green or a cube:
11/22 + 12/22 = 23/22
But, we counted 5 green cubes in both events and need to subtract them:
23/22 - 5/22 = 18/22 = 9/11

Answer 2

Answer:

Probability of Multiple Events

1. d. taking 2 marbles from a box...

2. b. 0.1804

3. c. rolling an even number...

4. c. 42%

5. c. 9/11

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If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle

Answers

Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.

WHICH EXPRESSION IS EQUIVALENT TO SIN 22 COS 18 + COS 22 SIN 18?

Answers

$sin(\alpha+\beta)=sin\alpha cos\beta+cos\alpha sin\beta\n\nsin22^ocos18^o+cos22^osin18^o=sin(22^o+18^o)=sin40^o\approx0.6428$

Answer:

find the exact value using trigonometric identities 0.6427876

Step-by-step explanation:

The sales tax rate is 4%. If Xavier buys a balance beam priced at $687 ,how much tax will he pay?

Answers

Answer:

$27.48

Step-by-step explanation:

687*0.04 which is $27.48

Hope this helps plz hit the crown :D

Answer:

27.48

Step-by-step explanation:

687 x .04 = 27.48

Solve using substitution, y=2x+5 y=6x+1

Answers

y = 2x+5
y = 6x+1

Just substitute.

y = 2x+5
6x+1 = 2x+5
6x-2x = 5-1
4x = 4
x = 1

Then, insert x = 1 into one of the equation. Let's say I choose number one.
y = 2x+5
y = 2(1) + 5
y = 7

y=2x+5
y=6x+1

y=2x+5
2x+5=6x+1

y=2x+5
2x-6x=1-5

y=2x+5
-4x=-4 / : (-4)

y=2x+5
x=1

x=1
y=2*1+5

x=1
y=2+5

x=1
y=7

According to the textbook, the median age in the United States is closest to 13. 23. 35. 49.

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I can't find the answer tonight. I accidentally left my textbook in school.

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Answers

*8x + 7 = 2x ---> equation
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x = -7/6

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