Answer:
2 and 178
Step-by-step explanation:
If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)
We get, = 89x+x=180
=> 90x=180
=> x=180/90
=> x =2
So, we found that x=2 , hence the other angle is going to be 2*89=178
This is correct as 2+178=180(as they are supplementary to each other)
Hope this answer helps, Please mark me as brainliest, Thank you!
Answer: 0.5467
Step-by-step explanation:
We assume that the test scores for adults are normally distributed with
Mean : ![\mu=100](https://tex.z-dn.net/?f=%5Cmu%3D100)
Standard deviation : ![\sigma=20](https://tex.z-dn.net/?f=%5Csigma%3D20)
Sample size : = 50
Let x be the random variable that represents the IQ test scores for adults.
Z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x =85
![z=\dfrac{85-100}{20}\approx-0.75](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B85-100%7D%7B20%7D%5Capprox-0.75)
For x =115
![z=\dfrac{115-100}{20}\approx0.75](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B115-100%7D%7B20%7D%5Capprox0.75)
By using standard normal distribution table , the probability the mean of the sample is between 95 and 105 :-
![P(85](https://tex.z-dn.net/?f=P%2885%3CX%3C115%29%3DP%28-0.75%3Cz%3C0.75%29%3D1-2%28P%28z%3C-0.75%29%29%5C%5C%5C%5C%3D1-2%280.2266274%29%3D0.5467452%5Capprox0.5467)
Hence, the probability that a randomly selected adult has an IQ between 85 and 115 =0.5467
The pythagorean theorem states: a² + b² = c²
Where c is the longest side (hypotenuse).
So we plug in and solve for the third side "b".
a = 12, c = 13, so:
12² + b² = 13²
144 + b² = 169
b² = 169 - 144
b² = 25
b = 5
We can double check the pythagorean theorem to make sure:
12² + 5² = 13²
144 + 25 = 169
So the unknown side is definitely 5.
I think it’s c or b but I’m not sure about it
Answer:
C
Step-by-step explanation:
f(x) =
stretch vertically by 3
f(x) = 3
reflect across the x-axis
f(x) = -3
shift right 1 unit
f(x) = -3![(x-1)^{5}](https://tex.z-dn.net/?f=%28x-1%29%5E%7B5%7D)
shift up 2 units
f(x) = -3
+ 2