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.
![P(c \leq X \leq d) = \frac{d - c}{b-a}](https://tex.z-dn.net/?f=P%28c%20%5Cleq%20X%20%5Cleq%20d%29%20%3D%20%5Cfrac%7Bd%20-%20c%7D%7Bb-a%7D)
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.
This means that ![a = 8, b = 15.8](https://tex.z-dn.net/?f=a%20%3D%208%2C%20b%20%3D%2015.8)
What is the probability that a production time is between 9.7 and 12 minutes?
.
So
![P(c \leq X \leq d) = \frac{d - c}{b-a}](https://tex.z-dn.net/?f=P%28c%20%5Cleq%20X%20%5Cleq%20d%29%20%3D%20%5Cfrac%7Bd%20-%20c%7D%7Bb-a%7D)
![P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949](https://tex.z-dn.net/?f=P%289.7%20%5Cleq%20X%20%5Cleq%2012%29%20%3D%20%5Cfrac%7B12%20-%209.7%7D%7B15.8%20-%208%7D%20%3D%200.2949)
29.49% probability that a production time is between 9.7 and 12 minutes
Answer:
12 is 3/4 of what number? You need to divide by the top and multiply by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16.
Answer: 24ft squared
Step-by-step explanation:
8x3 = 24
3(3x+8)=4(2x+8)
9x+24=8x+32
x=8
2(8)=16
3(8)=24
that means that the younger brother is 16 years old
2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5