First you need to solve for how much you lose for each individual tax, so 420x.0765 will give you how much money you lose to social security tax, then do the same for the other types and add them together, the value will give you the amount you have lost, so taking the total (420) minus the amount lost you will have the amount that you can "take home"
So 420-((420x.0765)+(420x.22)+(420x.0595)) = amount still in your pocket
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:
B: The center of data is shown by the mean, which is 43.
Step-by-step explanation:
Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.
Answer:
The standard deviation of the following data set is 32.2
Step-by-step explanation:
step 1
Find the mean
we have
![[56,78,123,34,67,9,20]](https://tex.z-dn.net/?f=%5B56%2C78%2C123%2C34%2C67%2C9%2C20%5D)
Sum the data and divided by the number of elements
![[56+78+123+34+67+91+20]/7=469/7=67](https://tex.z-dn.net/?f=%5B56%2B78%2B123%2B34%2B67%2B91%2B20%5D%2F7%3D469%2F7%3D67)
step 2
For each number: subtract the Mean and square the result
![[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]](https://tex.z-dn.net/?f=%5B%2856-67%29%5E%7B2%7D%2C%2878-67%29%5E%7B2%7D%2C%28123-67%29%5E%7B2%7D%2C%2834-67%29%5E%7B2%7D%2C%2867-67%29%5E%7B2%7D%2C%2891-67%29%5E%7B2%7D%2C%2820-67%29%5E%7B2%7D%5D)
![[121,121,3,136,1,089,0,576,2,209]](https://tex.z-dn.net/?f=%5B121%2C121%2C3%2C136%2C1%2C089%2C0%2C576%2C2%2C209%5D)
step 3
Work out the mean of those squared differences
![[121+121+3,136+1,089+0+576+2,209]/7=1,036](https://tex.z-dn.net/?f=%5B121%2B121%2B3%2C136%2B1%2C089%2B0%2B576%2B2%2C209%5D%2F7%3D1%2C036)
This value is called the "Variance"
step 4
Take the square root of the variance
Answer:
a) 450. b) 1:1.25 c) 32 rooms
Step-by-step explanation:
1. 100*4.5 = 450
2. 16:20 divide by 4 -> 4:5 (simplifies to 1:1.25)
3. 64/2 = 32 rooms needed. They have 16.
Sorry if answers are wrong, the picture quality is really poor for me.
