Answer:
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Step-by-step explanation:
A confidence interval for a population proportion is a function of the sample proportion and the margin of error.
The interval has two bounds, a lower bound and an upper bound.
The lower bound is the sample proportion subtracted by the margin of error.
The upper bound is the margin of error added to the sample proportion.
In this problem, we have that:
Sample proportion 0.08
Margin of error 0.01
0.08 - 0.01 = 0.07
0.08 + 0.01 = 0.09
The confidence interval for the proportion of production lines that caused defects is (0.07, 0.09).
Answer:
y>=1*x+2
Step-by-step explanation:
y>=k*x+n
we know that 2=k+n and 0=-2k+n
so 4=2k+n and 0=-2k+n
now 4=2n so n=2
now k=1
so y>=1*x+2
<span>In the question "Ray UW is the angle bisector of VUT.
If mVUW = (4x + 6)° and mWUT = (6x – 10)°, what is the measure of WUT?"
It was given that UW is the angle bisector of VUT, which means that mVUW = mWUT.
i.e. 4x + 6 = 6x - 10
6x - 4x = 6 + 10
2x = 16
x = 8
Therefore, the measure of WUT = 6x - 10 = 6(8) - 10 = 48 - 10 = 38
</span>
Y = x + 14 (the larger bus has 14 more seats)
2x + y = 65 ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)
2x + x + 14 = 65 (sub the value of y = x+14 in the second equation)
3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)
Answer:
x=-6,x=3
Step-by-step explanation:
x^2-x-18=-4x
Adding both sides by 4x
x^2+3x-18=0
Factoring
(x+6)(x-3)=0
x=-6,x=3
