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]
Answer:
-8
Step-by-step explanation:
-1 - y = x
0 - -4 = 4
x / 4 = -2
x = 4 * -2
x = -8
Answer:
90pi
Step-by-step explanation:
SA = pi r l +B
we know the radius is 5
We need to find the slant height using the Pythagorean theorem
a^2+b^2 = c^2
5^2+12^2 = l^2
25+144= l^2
169 = l^2
Taking the square root of each side
sqrt(169) = sqrt(l^2)
13 = l
B is the area of the base
B = pi r^2 = pi (5)^2 = 25 pi
SA = pi r l +B = pi (5)*13 + 25pi
=65pi +25pi = 90pi
Answer: (740)((1+0.0065)^132-1)/(0.0065)(1+0.0065)^132
Step-by-step explanation:
Let's simplify step-by-step.<span><span><span><span><span><span><span><span>−<span>x3</span></span>+<span>262</span></span>−<span>7x</span></span>−13</span>+<span>6<span>x4</span></span></span>−<span>x3</span></span>+<span>8x</span></span>+27</span><span>=<span><span><span><span><span><span><span><span><span><span><span>−<span>x3</span></span>+676</span>+</span>−<span>7x</span></span>+</span>−13</span>+<span>6<span>x4</span></span></span>+</span>−<span>x3</span></span>+<span>8x</span></span>+27
</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span><span><span>−<span>x3</span></span>+676</span>+<span>−<span>7x</span></span></span>+<span>−13</span></span>+<span>6<span>x4</span></span></span>+<span>−<span>x3</span></span></span>+<span>8x</span></span>+27</span></span><span>=<span><span><span><span>(<span>6<span>x4</span></span>)</span>+<span>(<span><span>−<span>x3</span></span>+<span>−<span>x3</span></span></span>)</span></span>+<span>(<span><span>−<span>7x</span></span>+<span>8x</span></span>)</span></span>+<span>(<span><span>676+<span>−13</span></span>+27</span>)</span></span></span><span>=<span><span><span><span>6<span>x4</span></span>+<span>−<span>2<span>x3</span></span></span></span>+x</span>+690
</span></span>Answer:<span>=<span><span><span><span>6<span>x4</span></span>−<span>2<span>x3</span></span></span>+x</span>+<span>690
hope i helped</span></span></span>