To answer this question you would set this up as an equation with all the information about Al on one side being equal to all the information for Matthew on the other side. This is what it would look like: $25 + $9h= $14h. h represents the number of hours they work. It they each worked 5 hours a week, they would make the same amount of money. I determined this by solving the equation for h. I subtracted 9h on both sides leaving you with $25=5h. H would equal 5 hours.
Answer:
Step-by-step explanation:
Red = 6
Blue = 3
Green = 5
Total = 14
First marble = 6/14 = 3/7 You now have 5 reds and 13 total
Second Marble = 5 * 13 which brings you down to 4 red and 12 total.
Third Marble = 4/12 = 1/3
Result
P(3 Red) = 3/7 * 5/13 * 1/3 cancel the 3s
P(3 Red) = 1/7 * 5/13
P(3 Red) = 5/91
P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.
Step-by-step explanation: 6hours= 60*6=360
360:30
12:1
This expression can only be combined.
Add <span>p^2</span><span> and </span><span>−<span>32/p</span></span><span> to get </span><span><span><span>(<span>p^2</span>p−1⋅32)/</span>p</span>.
</span><span>−4p+<span><span><span>p^2 </span>p−1⋅32/</span>p</span>+4
</span>Multiply <span>−1</span><span> by </span>32<span> to get </span><span><span>−32</span>.
</span><span>−4p+<span><span><span>p^2 </span>p−32/</span>p</span>+4
</span>Find the common denominator<span>.
</span><span><span><span>−4pp/</span>p</span>+<span><span><span>p^2 </span>p−32/</span>p</span>+<span><span>4p/</span>p
</span></span>Combine<span> into one </span>fraction<span>.
</span><span><span>−4pp+<span>p^2 </span>p−32+4p/</span>p
</span>Simplify the numerator.
<span><span>−4<span>p^2</span>+<span>p^3</span>−32+4p/</span>p
</span>Simplify the expression<span>.
</span>
<span><span><span>p^3</span>−4<span>p^2</span>+4p−32/</span>p</span>
Answer:
Expected Number=71
Variance =4959
Standard Deviation= 70.42
Step-by-step explanation:
Expected Number = E (x) = np
Here p = 0.71 and q= 1- 0.71= 0.29 n= 100
Expected Number = E (x) = np = 0.71*100= 71
b) The Variance and Standard Deviation for the number of these tweets with no reaction
Suppose the number of tweets are hundred then the number of tweets with no reaction would be 71 .
Variance = E(x²) - [E(x)]² = (100)²- (71)²= 10000- 5041= 4959
Standard Deviation= √4959= 70.42
