Answer:
52
Step-by-step explanation:
Given that :
Mean (m) = 78
Standard deviation (s) = 13
Score that is 2 standard deviations below the mean
Using the relation :
Zscore = (x - m) / s
2 standard deviations below the mean means a Zscore of - 2
Hence,
-2 = (x - 78) / 13
Cross multiply
-2 * 13 = x - 78
-26 = x - 78
x = - 26 + 78
x = 52
Score which is 2 standard deviations below the mean is 52
#3.
√18²-5.7² Second Choice
#4
l²=5²+4² = 25+16 = = 41
l=√41
l= 6.4
Second Choice
#5 Only A --- First choice
#7 6 ----- Third choice
#8 V=
942 units³ ---Second choice
So j completed 6/7 of a lap
gabe has completed 2/9 lap
so
1 j lap=7 mins s o
7j
j=num of laps
1 g lap=9 mins so
9g
g=num of laps
then 6+j
and g+2
so
when will the times be equal
7j+6=9g+2
subtract 2 from both sides
7j+4=9g
divide both sides by 9
7/9j+4/9=g
so to get a whole number of laps, we must subsitute a number when it is multiplied by 7 then add 4, we get a multiplue of 9
so if j=2
7/9(2)+4/9=g=14/9+4/9=g=18/9=g=2
so josh and gabe must run 2 lap each because
6+(2 times 7)=2+(9 times 2)
6+14=2+18
20=20
true so
the answer is 2 laps
Answer: B. 3x + 1/5
tom's pencil is longer than Ellen's pencil:
5x + 2/5 - (2x + 1/5) = 5x - 2x + 2/5 - 1/5 = 3x + 1/5 (cm)
Step-by-step explanation:
Sad to say it is likely D. If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.
1. Gladys is a single Mom. She gets to deduct her child.
2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.
3. Gladys gets to deduct medical expenses. Michelle does not.
4. Gladys has a travelling allowance that is deductible. Michelle does not.
5. Gladys goes to church and tithes. Michelle does not.
6. Gladys has a registered savings plan. Michelle does not.
The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.
I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).
C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.
