Answer:
x = -4
Step-by-step explanation:
3(x - 6) + 12 = 6(x + 1)
3x - 18 + 12 = 6x + 6
3x - 6 = 6x + 6
3x - 6x = 6 + 6
-3x = 12
× = -4
CMIIW
Answer: c.97.5 th percentile : $15.50; 2.5 th percentile : $12.50
Step-by-step explanation:
Since the hourly salaries of everyone in the company are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = hourly salaries
µ = mean salary
σ = standard deviation
From the information given,
µ = $14
σ = $0.75
Looking at the normal distribution table, the z score corresponding to the 2.5 th percentile(0.025) is - 1.96
- 1.96 = (x - 14)/0.75
x - 14 = 0.75 × - 1.96 = - 1.47
x = - 1.47 + 14
x = $12.53
Approximately, x = $12.5
Looking at the normal distribution table, the z score corresponding to the 97.5 th percentile(0.975) is 1.96
1.96 = (x - 14)/0.75
x - 14 = 0.75 × 1.96 = 1.47
x = 1.47 + 14
x = $15.47
Approximately, x = $15.5
The area of a parallelogram is base X height.
so here will be 20 x h = 300
therefore the height is 15
Answer:
The equation of circle is
+
= 52
Step-by-step explanation:
Given the endpoints of diameter of a circle: (-16,-16) and (-4,-8)
We know that the equation of circle is given by
+
= ![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
(
,
)
(
,
)
(-10, -12)
Hence (h,k) is (-10,-12)
Substituting values of (h.k) and (x.y) as (-10,-12) and (-4,-8) respectively in equation of circle, we get
+
= ![r^{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D)
= 52
Substituting values of (h.k) and
, we get the equation of circle as
+
= 52
Hence the equation of circle is
+
= 52