Using the same-side interior angles theorem, the values of x and y are:
x = 80
y = 130
<h3>What is the Same-side Interior Angles Theorem?</h3>
The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.
(x - 30) and (x + 50) are same-side interior angles, therefore:
(x - 30) + (x + 50) = 180
Solve for x
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
(x - 30) + y = 180
Plug in the value of x
(80 - 30) + y = 180
50 + y = 180
y = 180 - 50
y = 130
Learn more about the same-side interior angles theorem on:
brainly.com/question/13867198
#SPJ1
Answer:
O.186 or 18.6%
Step-by-step explanation:
Let s = event of schizophrenia
B = brain atrophy
From our question we have:
P(s) = probability of those suffering from schizophrenia = 1.5% = 0.015
P(B|S) = probability of brain atrophy = 30% = 0.30
P(S') = 1 - 0.015 = 0.985
P(B|S') = 2% = 0.02
Probability Hinckley suffered from schizophrenia
= P(S|B) = P(B|S)P(S)/P(B|S)P(S)+P(B|S')P(S')
= (0.30x0.015)/(0.30)*(0.015)+(0.02)(0.985)
= 0.0045/0.0045+0.0197
= 0.0045/0.0242
= 0.185950
This is approximately 0.186 or 18.6%
Answer:
The probability that the age of a randomly selected CEO will be between 50 and 55 years old is 0.334.
Step-by-step explanation:
We have a normal distribution with mean=56 years and s.d.=4 years.
We have to calculate the probability that a randomly selected CEO have an age between 50 and 55.
We have to calculate the z-value for 50 and 55.
For x=50:
For x=55:
The probability of being between 50 and 55 years is equal to the difference between the probability of being under 55 years and the probability of being under 50 years:
Answer: $50
Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)
It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.
Answer:
4
Step-by-step explanation:
x= 18÷4.5=4
hope it helps
