Answer:
-2(2x-1)
Step-by-step explanation:
x+4-5x-2
1) collect like like terms
-4x+2
2) factor out the -2
-2(2x-1)
3) that gives you the final answer of
-2(2x-1)
Answer:
7
Step-by-step explanation:
Pythagorean theorem. 24^2+b^2=25^2
Simplify
576+b^2=625
b^2=49
b=7
The answer is actually e although it would have been a
Answer:
The car travel 44 feet during the driver`s reaction time.
Step-by-step explanation:
The sentence "If the driver`s reaction time was 34 of a second" has to be changed as "If the driver`s reaction time was 3/4 of a second"
If the driver drives at a speed of 40 miles per hour, it means s/he travels
40 × 5280 = 211200 feet per hour.
1 hour is 60 minutes and 1 minute is 60 seconds.
That is, 1 hour is 3600 seconds.
Therefore the driver travels
feet in a second.
And since the reaction time is
of a second, the car travels
feet during the reaction time.
Since each trial has the same probability of success,
Let, <span><span><span>Xi</span>=1</span></span> if the <span><span>i<span>th</span></span></span> trial is a success (<span>0</span> otherwise). Then, <span><span>X=<span>∑3<span>i=1</span></span><span>Xi</span></span><span>X=<span>∑<span>i=1</span>3</span><span>Xi</span></span></span>,
and <span><span>E[X]=E[<span>∑3<span>i=1</span></span><span>Xi</span>]=<span>∑3<span>i=1</span></span>E[<span>Xi</span>]=<span>∑3<span>i=1</span></span>p=3p=1.8</span><span>E[X]=E[<span>∑<span>i=1</span>3</span><span>Xi</span>]=<span>∑<span>i=1</span>3</span>E[<span>Xi</span>]=<span>∑<span>i=1</span>3</span>p=3p=1.8</span></span>
So, <span><span>p=0.6</span><span>p=0.6</span></span>, and <span><span>P{X=3}=<span>0.63</span></span><span>P{X=3}=<span>0.63</span></span></span>
I thought what I did was sound, but the textbook says the answer to (a) is <span>0.60.6</span> and (b) is <span>00</span>.
Their reasoning (for (a)) is as follows: