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charle [14.2K]
3 years ago
12

Which ratio best defines theoretical probability?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0

Answer:

Number of favorable outcomes:Number of possible outcomes  

Step-by-step explanation:

Theoretical probability is found by comparing the number of ways an event can occur, also called the number of favorable outcomes, to the total number of possible outcomes.

Morgarella [4.7K]3 years ago
3 0

Answer:  Second option is correct.

Step-by-step explanation:

Since we know that Theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes.

It means the possibility of favorable outcome out of all possible outcomes.

Mathematically, it is expressed as :

Probability=\dfrac{\text{Number of favorable outcomes}}{\text{Number of all possible outcomes}}

Hence, Second option is correct.

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Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin
boyakko [2]
<h3>Answer:  24 feet  (Choice D)</h3>

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

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0
3 years ago
A pancake recipe calls for 4 cups of flour and 3 cups of milk.Does a recipe calling for 2 cup of flour and 1.5 cups milk use the
kolbaska11 [484]
Yes, because if you divide 4 and 3 by 2, you get 2 and 1.5
5 0
3 years ago
Read 2 more answers
Which of the following does NOT represent a function ?
Veseljchak [2.6K]

Answer:. C is not a function.

Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.

8 0
3 years ago
5x-(x+3)=1/3 (9x+18)-5<br> Please show me step by step
zzz [600]

Step-by-step explanation:

5x-(x+3)=1/3(9x+18)-5

5x-x+3=3x+6-5

1/3 multiplied by 9/1 is three because if you take away the ones and put your problem like this: 9/3, you'll get 3.

1/3 multiplied by 18/1 is six because if you take away the ones and switch to division, it'll look like this: 18/3. 18/3 is 6.

5x-1x+3=3x+6-5

If a variable is alone, you should - in this case - put a one before it, but if the variable is alone you should know that it's automatically a one.

4x+3=3x-1

6-5=1 Simple math problem, probably self explanatory

4x+3=3x-1

Subtract 3x from 4x and you'll get 1x because 4-3 is 1.

1x+3=-1

Then you add 3 to -1 which is 2.

The answer is 1x=2

Or you could've done:

4x+3=3x-1

-4x    -4x

    3=-1x-1

 +-1    +-1

2=1x

It's the same answer, but all I did was subtract the 4x from the 4x and 3x.

3 0
3 years ago
assume that the number of production defects is 28 and that 14 of these are classified as major defects, 8 are classified as des
Arlecino [84]

Answer:  5

Step-by-step explanation:

Let A denotes the number of major defects and B denotes the number of design defect.

By considering the given information, we have

U=28\ ;\ n(A)=14\ ;\ n(B)=8\ \ ;\ n(A^c\cap B^c)=1

Now, the number of major defects or design defects:

n(A\cup B)=U-n(A^c\cap B^c)=28-11=17

Also,

n(A\cap B)=n(A)+n(B)-n(A\cup B)\\\\\Rightarrow\ n(A\cap B)=14+8-17=5

Hence, the number of  design defects were major=5

6 0
3 years ago
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