Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.
It’s a right angle. it follows the circle theorem ‘the angle in a semi-circle is 90 degrees’
Answer:
70°
Step-by-step explanation:
The minor angle of AB forms a straight line with angle x. When summed up it equals 180°.
minor angle of AB + x° = 180°
110° + x° = 180°
x° = 180° - 110°
= 70°
Enjoy!!!
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