Answer:
The sum of any two supplementary angles is 180⁰. If you have been given a task to that one angle measures 120⁰ and have to find its supplement, you will compute as ⇒ 180⁰ - 120⁰ = 60⁰. So, the missing will be 60⁰.
Step-by-step explanation:
- As we know that the sum of any two supplementary angles is 180⁰.
- If we have to get the supplement, all we need is to subtract a given angle from 180.
- A straight line measure 180⁰.
- If you have been given a task to that one angle measures 120⁰ and have to find its supplement, you will compute as ⇒ 180⁰ - 120⁰ = 60⁰. So, the missing will be 60⁰.
Let us consider the m∠MON = 45⁰, as shown <em>in figure a</em>. As straight line measure 180⁰, and the sum of any two supplementary angles is 180⁰. So, 180⁰ - 45⁰ = 135⁰ ⇒ m∠MOL = 135⁰.
So, the supplement of m∠MON = 45⁰ is m∠MOL = 135⁰.
<em>Keywords: supplementary angle, angle measure</em>
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Answer:
1: x=18 2: x=7 3: x=12
Step-by-step explanation:
1: 7x+3=9x-33
2x=36
x=18
2: 16x+(6x=26)=180
22x=154
x=7
3: (10x-17)-(2x-3)=90
8x-14=104
x=12
The Pythagorean theorem tells you
10² = 6² + x²
Subtracting 36, we get
64 = x²
And taking the square root gives
x = 8
Answer:
To find Felicity's hourly rate you first want to find out how many hours she has babysat altogether. In order to do this we need to take 2*10=20
With that 20 we can divide it by 180 to find her hourly rate
180/20= 9
So she makes $9 an hour
Step-by-step explanation:
Answer:
![P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%208%29%3D%20P%28X%3D8%29%20%2BP%28X%3D9%29%20%2BP%28X%3D10%29)
And we can find the individual probabilities like this:
And adding we got:
![P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%208%29%3D%20P%28X%3D8%29%20%2BP%28X%3D9%29%20%2BP%28X%3D10%29%3D%200.176%2B0.072%2B0.013%3D0.262)
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want to find this probability:
![P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%208%29%3D%20P%28X%3D8%29%20%2BP%28X%3D9%29%20%2BP%28X%3D10%29)
And we can find the individual probabilities like this:
And adding we got:
![P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262](https://tex.z-dn.net/?f=%20P%28X%20%5Cgeq%208%29%3D%20P%28X%3D8%29%20%2BP%28X%3D9%29%20%2BP%28X%3D10%29%3D%200.176%2B0.072%2B0.013%3D0.262)