Answer: she could serve 8 people
Step-by-step explanation:
each guest wanted 1/8 so first she would have to make it into 8 equal parts then give each guest 1 slice of pie.
Answer:
198 inches
Step-by-step explanation:
There are 12 inches in each foot
multiply 16 by 12 you get 192
Half of a foot is 6 inches
add 6 inches and you get 198
Given Information:
Mean weekly salary = μ = $490
Standard deviation of weekly salary = σ = $45
Required Information:
P(X > $525) = ?
Answer:
P(X > $525) = 21.77%
Step-by-step explanation:
We want to find out the probability that a randomly selected teacher earns more than $525 a week.

The z-score corresponding to 0.78 from the z-table is 0.7823

Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Answer:
The value of x is about 2.206.
Step-by-step explanation:
Consider the given equation is

We need to find the value of x.
Using the properties of logarithm we get
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln 1=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%201%3D0%5D)
On comparing both sides we get
Using graphing calculator, the real solution of the above equation is

Therefore, the value of x is about 2.206.
Answer:
A
Step-by-step explanation:
3(1-2x)=1/4(6x+9)
3-6x=1 1/2x+2 1/4
-2 1/4 -2 1/4
3/4-6x=1 1/2x
+6x +6x
3/4=7 1/2x
/7 1/2 /7 1/2
1/10=x