Answer: 9, 1/20, 9/20
Step-by-step explanation:
1) 9 pieces
2) Size of each pieces:
3) Area of the shaded rectangle:
Answer:
The value of x is ![2\sqrt[3]{2}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B2%7D)
Step-by-step explanation:
We are given 
We need to solve for x
First we subtract 2 both sides
Taking cube roots both sides to isolate x
![x=\sqrt[3]{16}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B16%7D)
Simplify the radical
![x=2\sqrt[3]{2}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B2%7D)
Thus, The value of x is
x=
16
7−
177
=−0.394
x=
16
7+
177
=1.269Step-by-step explanation:
Answer:
If you want to find the probability of picking out a certain colored marble after you have already picked one out, then the probability changes, because now the total number of marbles you have is 32 instead of 33, and the probability of the color you could pick out can change depending on what marble you picked out first.
For example, if you want to know the probability of picking out an orange marble the second time, and you didn't pick out a orange marble the first time, then you still have 10 orange marbles, but now you have 32 total marbles, so the probability will be 10 out of 32 instead of 10 out of 33. But if you picked out 1 orange marble already, and you didn't put it back in, then you will have a probability of picking out 9 out of 32 because there are 9 orange marbles left.
In short: If you pick a marble out the first time and then put it back in the pile before your friend picks one out, then the probability of picking a marble of a certain color will be the same the second time as the first time because there will still be the same number of marbles with the same number of the same colored marbles as the first time, but if you don't put the marble back in, then the probabilities will change.
Step-by-step explanation:
Answer:
The value after 7 years is $ 855355.65
Solution:
Given that, Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year
To find: exponential function to find the annual sales after 7 years
The exponential growth function is given as:
Where,
"a" is the initial amount
"y" is the future value
"r" is the rate of interest in decimal
"t" is the number of years
Here in this given question,
a = 650000
t = 7 years
Substituting the values in given formula,
Thus the value after 7 years is $ 855355.65
Step-by-step explanation:
