Answer: subtraction
Step-by-step explanation:
x + 2 = 5
5 - 2 = x
x = 3
Firstly, arrange the data.
19 23 26 28 28 30 31 35 38 40 43 46
a) 5 number summary
-min value = 19
- Q1= (26+28/2) = 27
- Q2/ Median = (30+31/2)= 30.5
- Q3= (38+40/2)= 39
- Max value- 46
b) range= max value-min value
∴46-19= 21
c)interquartile range = Q3-Q1
= 39-27
=12
Answer:
10
Step-by-step explanation:
Standard form for a circle is
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius
--------------------------------
x² + y² - 18x + 24y = -200
Rearrange
(x² - 18x) + (y² + 24y) = -200
Complete the square for x
(x - 9)² + (y² + 24y) = -200 + (-9)²
Complete the sqaure for y
(x - 9)² + (y + 12)² = -200 + (-9)² + 12²
(x - 9)² + (y + 12)² = 25
Now the equation is in standard form
r² = 25
r = 5
Therefor Diameter = 10
Answer:
in steps
Step-by-step explanation:
Are you trying to prove any 3 positive consecutive odd integers whose product of the first and the third is four less than the square of the second?
3 positive consecutive odd integers: x-2, x, x+2
(x-2) (x+2)=x² - 4 ..... correct
11, 13, 15 11 x 15 = 165 = 13² - 4
Answer:
Anna's number could be 5 and it could be 6.
Step-by-step explanation:
Let Anna's number be represented by x.
If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.
This implies that:
This is a quadratic equation and we can solve for x by factorization.
=> x = 5 and x = 6
Anna's number could be 5 and it could be 6.
