Answer:
Yes, There is significant difference.
Step-by-step explanation:
Null Hypothesis , H0 : Mean income = 15000
Alternate Hypothesis , H1 : Mean income ≠ 15000
t = (x - u) / ( s / √n)
x = sample mean = 14500 here, u = population mean = 15000 here , s = standard deviation = 975 here , n = sample size
t = (14500 - 15000) / (975 / √169)
-500 / 75 = - 6.66
As calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠ 15000'
Answer:
The equation is not linear so the slope does not exist. And neither does a slope for the parallel line.
Step-by-step explanation:
Good luck xx
If you expand the square, you have
Simplify the right hand side:
Cancel the -3x appearing on both sides:
Multiply both sides by 4:
Consider the square root of both terms (using the doubles sign):
Answer:
a>4
Step-by-step explanation:
-7a-11<1-4a
ADD 4a to both sides
-3a-11 <1
Add 11 to both sides
-3a <12
Divide both sides by 3
-a <4
Multiply by -1 both sides and FLIP SIGN
a>4
So a should be 5 ,6,7,8.........
On the number line you need to count from zero 4 units to the right (positive 4) Once you are in number 4 draw an open circle which means the 4 is NOT included) Draw a line from 4 to the right because it is bigger than 4.
Interval notation is (4,∞)
[ ] a square bracket when we want to include the number 4
( ) a round bracket when we don't want to include the number 4
AC = 8.9
BC = 6.5
(90% angle)
8.9 x 6.5 = <span>57.85
57.85/2 = 28.925
Area of ^ABC = 28.925 cm squared
DE = 55.1
55.1/ 11.02 = 5
DEF is 5 times as big as ABC
DF = 44.5
FE = 32.5
44.5 x 32.5 = 1446.25
1446.25/2 = 723.125
I am not positive but I believe DEF = 723.125 cm squared
Good Luck on the Test!! :D
</span>
