Answer:x=3 y=1/2
Step-by-step explanation:
x+2y=4
2x-2y=5
Add both equations together
x+2x+2y-2y=4+5
3x+0=9
3x=9
Divide both sides by 3
3x/3=9/3
x=3
Substitute x=3 in x+2y=4
x+2y=4
3+2y=4
Collect like terms
2y=4-3
2y=1
Divide both sides by 2
2y/2=1/2
y=1/2
Answer:
70
Step-by-step explanation:
An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.
we are given the minor arc ( 110 ) however we are not given the major arc.
Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360
Thus, major arc = 360 - 110 = 250
Now that we have identified the major and minor arc we can find x
Recall that x = 1/2 ( major arc - minor arc )
Thus, x = 1/2 ( 250 - 110 )
250 - 110 = 140
140 / 2 = 70
Hence, x = 70
Answer:
A
Step-by-step explanation:
Just multiply 1166 by 0.2879
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
Answer:
rational
Step-by-step explanation:
