Answer:
B
Step-by-step explanation:
well by rotating ΔABC by 60*(degrees) about A , such that in ΔA'B'C,B =C'
you can see that ΔAPP' is equilateral side length 1, meaning that <APP' =60*
you can also see that ΔCPP' is a 30- 60- 90 right angle also meaning that <CPP' =60* now,by adding the two together you see that < ACP =120* now you can also use the law of cosins and soooo
s2=(AP)2+(CP)2-2(AP)(CP)cos120*
s2=1+4-2(1)(2)cos120*
s2=5-4 (-1over2)
s=
7
so b is your answer hope this helped
To solve for X you need to simplify both sides on the equation
<span><span><span>23</span><span>(<span><span>4x</span>−5</span>)</span></span>=8
</span><span><span><span><span>(<span>23</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>23</span>)</span><span>(<span>−5</span>)</span></span></span>=8 *</span>Distribute*
<span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>=<span>8
after that you add 10/3 on both sides
</span></span><span><span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>+10/3</span>=<span>8+10/3</span></span><span><span><span>8/3</span>x</span>=<span>34/<span>3
finally multiply 3/8 on both sides
</span></span></span><span><span>(<span>3/8</span>) x </span><span>(<span><span>8/3</span>x</span>)</span></span>=<span><span>(<span>3/8</span>) x </span><span>(<span>34/3</span><span>)
and your answer should be
X= 17/4
</span></span></span>
Answer:
1) 25/54 = 46%
2) 10/27 = 37%
3) 17/27 = 63%
4) 20/27 = 74%
5) 17/27 = 63%
6) 10/17 = 59%
Step-by-step explanation:
1) (50 male)/108 total) = 25/54
2) (40 thumbs down)/(108) = 10/27
3) (68 thumbs down or male) / (108) = 17/27
4) (80 thumbs down or female)/(108) = 20/27
5) (68 thumbs up)/(108) = 17/27
6) (40 thumb up female)/(68) = 10/17
3 sets of the 4 inch ribbon is 12,
10 sets of the 4 inch ribbon is 40
Answer:
29.49% probability that a production time is between 9.7 and 12 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.
This means that 
What is the probability that a production time is between 9.7 and 12 minutes?
.
So
29.49% probability that a production time is between 9.7 and 12 minutes
