Answer:
45.712
Step-by-step explanation:
We need to find the Zscore of the area of 15 percent of the distribution ; using a Z table or calculator ;
Zscore of 15% of the distribution is : - 1.036
Using the Zscore formula :
Zscore = (x - mean) / standard deviation
Where, x = score
-1.036 = (x - 54) / 8
Cross multiply
-1.036 * 8 = x - 54
-1.288 = x - 54
x = - 8.288 + 54
x = 45.712
Answer: 4/2
Step-by-step explanation:
subtract 12-8 , it would be 4
then 3-1 , it would be 2
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent, then
2x = 6 ( divide both sides by 2 )
x = 3
and
3y = 6 ( divide both sides by 3 )
y = 2
Thus x = 3 and y = 2 → d
Answer:
Step-by-step explanation:
Given;
F(x) = 6x³ + 19x² + 17x + 3
Factor of F(x) = 2x + 3
Using long division method;
3x² + 5x + 1
------------------------------------
2x + 3 √ 6x³ + 19x² + 17x + 3
- (6x³ + 9x²)
----------------------------------------
10x² + 17x + 3
- (10x² + 15x)
-------------------------------
2x + 3
- (2x + 3)
---------------
0
Answer:
Explanation:
-4y - 3x = -11 (1)
x - 2y = 17 (2)
x = 17 + 2y
Substitute x value in (1)
-4y - 3(17 + 2y) = -11
-4y - 51 - 6y = -11
-10y - 51 = -11
-10y = -11 + 51
-10y = 40
y = 40/-10
y = -4
Substitute the y value in (2)
x - 2(-4) = 17
x + 8 = 17
x = 17 - 8
x = 9
Therefore, x = 9 and y = -4
