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:
Step-by-step explanation:
The equation of a line in
point-slope form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
−
y
1
=
m
(
x
−
x
1
)
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
2
and
(
x
1
,
y
1
)
=
(
3
,
0
)
⇒
y
−
0
=
−
2
(
x
−
3
)
⇒
y
=
−
2
(
x
−
3
)
←
in point-slope form
So first what you are going to do is divide synthetically your root aka factor into your given equation. Then you are going to kind of guess ands check to find the other factor by synthetically dividing what you have left which should be
x^2 +2x +1 by -5, 5 (to make sure there is no multiplicity), 1, and -1 until you get zero in your remainder spot. The number you used to divide will be your other root.
Answer:
10 dimes and 14 quarters
Step-by-step explanation:
take the amount of four quarters to start with: 1$
then from here, for add one quarter and one dimes worth: 35 c
keep adding until you reach 450
then count how many 35 c you counted and thats how many dimes you have
add four to that number and youll get the amount of quarters
Answer:
The final price is $ 22.68 And Proportional constant is 1.4
Step-by-step explanation:
Given as :
The Original price = $ 16.20
The rate of increase = 40%
Let The final price = x
Now,
Final price after increase = initial price × ( 1 + 
Or. Final price after increase = $ 16.20 × ( 1 + 
Or, Final price after increase = $ 16.20 × ( 1.4 )
∴ Final price after increase = $ 22.68
Now , Proportional constant = 
I.e Proportional constant = 1.4
Hence The final price is $ 22.68 And Proportional constant is 1.4 Answer
