Answer:
<h2>D</h2>
The cube of twice a number decreased by 11
The formula for the surface area of a rectangular prism is
A= 2(wl+hl+hw)
We are given the height =2cm, width= 5cm, and length= 10cm. All you have to do is plug this info in!
A= 2(wl+hl+hw)
= 2[(5)(10)+(2)(10)+(2)(5)]
= 2(50+20+10)
= 2(80)
=160 cm squared
Hope this helps!! :)
Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:


*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.
Answer:
the original number is greater
Step-by-step explanation:
1. let 1x be your starting number
2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)
3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)
4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)
Answer:
The slope is -
and the y intercept is 2.
Step-by-step explanation:
So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is
.
Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair
, although people usually write the number.
I hope this was helpful. Good luck!