<u>Answer:</u>
D. |–c| = 3 and –|d| = 4
<u>Step-by-step explanation:</u>
We are given these values of two variables and asked which of the statements in the given options is true:
c = –3 and d = 4
In mathematics, we know that the absolute value or modulus of a real number x is the non-negative value of x despite of whatever sign it has, positive or negative.
Therefore, the modulus of c |–c| = 3 and modulus of –|d| = 4 so option D is the correct one.
Answer:
Step-by-step explanation:
Square ABCD is inscribed in a circle with center P such that BC = 5 units.
BD will be diagonal of the square as well as diameter of the circle.
-> Diameter of the circle 
-> Radius of the circle 
Answer:
$0.16
Step-by-step explanation:
1.99/12
.165
$0.16
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.
Answer:
∠3=95°
∠4=85°
Step-by-step explanation:
