Answer:
always
Step-by-step explanation:
with 4 sides you can conclude that every quadrilateral is going to have 2 pairs of opposite sides. the opposite sides might not be equal, but they will be there.
Answer:
<u>C. The solution set is {x|x < 6}.</u>
Step-by-step explanation:
<u>Given</u> :
<u>Subtract 4 from both sides.</u>
- 7x + 4 - 4 < 46 - 4
- 7x < 42
<u>Divide 7 from both sides.</u>
<u>C. The solution set is {x|x < 6}.</u>
Cos2x = (cosx)^2-(sinx)^2 so if you have the minus before you have to inverse sign: (sinx)^2-(cosx)^2= -cos2x
Answer:
The 95% confidence interval for the difference of the hours worked is [-0.052 , 0.0012]
Step-by-step explanation:
Formula for Confidence interval based on difference =
p1 - p2 ± z × √[p1(1 - p1)/n1] + [p2(1 - p2)/n2]
p1 = proportion for the first group = x/n
= 8.5/10.2
= 0.8333333333
≈ 0.83
n1 = 1000
p2 = proportion for the second group = 6.9/8.1
= 0.8518518519
≈ 0.85
n2 = 1000
Confidence Interval = p1 - p2 ± z × √[p1(1 - p1)/n1] + [p2(1 - p2)/n2]
= 0.83 - 0.85 ± 1.96 √[0.83(1 - 0.83)/1000] + [0.85(1 - 0.85)/1000]
= -0.02 ± 1.96 × √0.83 × 0.17/1000 + 0.85 × 0.15/1000
= -0.02 ± 1.96 × √0.0001411 + 0.0001275
= -0.02 ± 1.96 × √0.0002686
= -0.02 ± 1.96 × 0.0163890207
= -0.02 ± 0.0321224806
-0.02 - 0.0321224806
= -0.0521224806
≈ -0.052
-0.02 + 0.0321224806
= 0.0121224806
≈ 0.012
Therefore, the 95% confidence interval for the difference of the hours worked is [-0.052 , 0.0012]
Ok so Jessica bought M pens, which cost $6.70 each.
She also bought 4 fewer pencils than pens, or (M-4) pencils, at $3.50 each.
So in total, she spent:
6.7M + 3.5(M-4)
= 6.7M + 3.5M - 14
= 10.2M -14
So she spent $(10M - 14) on pens and pencils.
Hope this helped