Answer:
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The standard deviation is the square root of the variance. So
Then
The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m
The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m
The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.
1st decimal place=tenth
2nd=hundreth
to round, you look at the place after it
so 13.8924439894 to tenth
look untill hundreth
13.89
if hundreth<u>></u>5, round tenth up
if hundreth place<5 leave tenth as is
13.89
9<u>></u>5
round up
8+1=9
13.9 is to theh tenth
The ratio is 4/3 because you add AC which is 12 and then divided 9 (BC) by 12
Answer:
£ 114
Step-by-step explanation:
From the question given above, the following data were obtained:
Price of TV = £ 1200
VAT = 20%
Amount paid = £ 300
Amount paid monthly =.?
Next, we shall determine the VAT. This can be obtained as follow:
VAT = 20% of price of TV
VAT = 20/100 × 1200
VAT = £ 240
Next, we shall determine the total cost of the TV. This can be obtained as follow:
Price of TV = £ 1200
VAT = £ 240
Total cost of TV =?
Total cost = Price + VAT
Total cost = 1200 + 240
Total cost = £ 1440
Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:
Total cost = £ 1440
Amount paid = £ 300
Balance amount =?
Balance = Total cost – Amount paid
Balance = 1440 – 300
Balance = £ 1140
Finally, we shall determine the amount Harry will pay month.
Balance Amount = £ 1140
Number of months = 10
Amount paid monthly =.?
Amount paid monthly = Balance / number of month
Amount paid monthly = 1140 / 10
Amount paid monthly = £ 114
Therefore, Harry will pay £ 114 monthly.
F(x)= (x-p)²+q where (p,q) is min point
f(x)=(x-1)²-2
min point is (1,-2)
the answer is first picture
