Let's figure this out as though we have no idea what the answer would be.
Step One
Find the new five numbers.
3*3, 8*3, 12*3, 17*3, 25*3
9 , 24 , 36, 51, 75
Step 2
Find the average
(9 + 24 + 36 + 51 + 75)/5 = 195/5 = 39
Step 3
Subtract the individual numbers from the average
(39 - 9) = 30
(39 -24) = 15
(39 - 36) = 3
(39 - 51) = - 12
(39 - 75) = -36
Step 4
Square the results from Step 3
30^2 = 900
15^2 = 225
3^2 = 9
(-12)^2 = 144
(-36)^2 = 1296
Step 5
Take the average of the results from step 4
(900 + 225 + 9 + 144 + 1296)/5
2574 / 5 = 514.8
Step 6
Take the square root of the result from step 5
deviation = sqrt(514.8)
deviation = 22.689
Step seven
Compare the two standard deviations.
s2/s1 = 22.689 / 7.563 = 3
Conclusion
If you are given 1 set of numbers to find a population standard deviation and you multiply each member by a, then the result will be a * the standard population deviation of the first set of numbers.
Note
Your calculator will do this as well, but you have to know how to enter the data into your calculator. That requires that you follow the directions carefully.
We need to find the percent, let's start but making the equation.
The price is 2.69
The tax cost is 0.13
So what percent of 2.69 is = 0.13.
Equation: X/100 x 2.69 = 0.13
Multiply each side by 100 so we can get x alone with the price: 2.69x = 13
Now to get x alone, we must divide both sides by 2.69: x = 4.8
Finally, we just round 4.8 to the nearest whole number, which is 5 (5 or above give it a shove, 4 or below let it go, we have 8 so we give it a shove). This means that the answer will be 5%.
I hope this helps! :)
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC
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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees
The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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So in short, the answer is choice B) 27; 49
Answer:
Question 1 (1 point)
1. An object has a mass of 25g and a volume of 5ml
a
10
b
8
c
5
d
7
Question 2 (1 point)
2. An object has a mass of 30g and a volume of15ml. What is the density?
a
10
b
2
c
3
d
5
Question 3 (1 point)
3. An object has a mass of 200g and a volume of 100ml. What is the density?
a
2
b
4
c
6
d
8
Question 4 (1 point)
4. An object has a mass of 17g and a volume of 2ml. What is the density?
a
2.4
b
2
c
8
d
8.5
Question 5 (1 point)
5. An object has a mass of 20g and a volume of 5ml. What is the density?
a
2
b
4
c
10
d
2.5
Question 6 (1 point)
6. An object has a mass of 75g and a volume of 75ml. What is the density?
a
6
b
1
c
7
d
8
Question 7 (1 point)
7. An object has a volume of 100ml and a mass of 2oo ml. What is the density?
a
0.5
b
1
c
4
d
2.5
Question 8 (1 point)
8. An object has a volume of 5ml and a mass of 650 g. What is the density?
a
110
b
120
c
130
d
200
Question 9 (1 point)
9. An object has a mass of 15g and a volume of 5ml. What is the density?
a
2.5
b
7
c
3
d
2.56
Question 10 (1 point)
10. An object has a mass of 13g and a volume of 2ml. What is the density?
a
6.5
b
3.7
c
4
d
Step-by-step explanation:
