Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
For the probability of rain on julty 4h of 0.5 his expected profit is 8885.5 dollars.
<h3>What is probability?</h3>
The probability is occurrence of a certain event out of the total number f events that can happen.
Given in the question the probability of rain is 0.5 therefore the probability of not raining is also 0.5.
If it does not rain he makes a profit of 30427 dollars and if it rains he suffers a loss of 12656 dollars.
We know, the expected profit is,
= 0.5(30427) - 0.5(12656).
= 15213.5 - 6328.
= 8885.5 dollars.
learn more about probability here :
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Answer:
a) 
b) 
c) 
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is 
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is 
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is 
Answer:
Confidence Interval - 2.290 < S < 2.965
Step-by-step explanation:
Complete question
A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.
Solution
Given
n=50
x=23.33
s=2.6
Alpha = 1-0.80 = 0.20
X^2(a/2,n-1) = X^2(0.10, 49) = 63.17
sqrt(63.17) = 7.948
X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69
sqrt(37.69) = 6.139
s*sqrt(n-1) = 18.2

confidence interval:
(18.2/7.948) < S < (18.2/6.139)
2.290 < S < 2.965