Answer:
a)
b)
c) We are 99% confident that the true mean for the costs of an order for the local pizzeria is between 20.766 and 25.234
d) For this case if we decrease the confidence then the margin of error would be lower and that implies a narrower interval. Becuase the critical value is lower if the decrease the confidence level
Step-by-step explanation:
Data provided
represent the sample mean for the cost of orders
represent the sample population deviation
n=300 represent the sample size
Part a
The confidence interval for a true mean is given by:
(1)
And the margin of error is given by:
The Confidence is 0.99 or 99%, the significance is and , and the critical value would be
Part b
The confidence interval would be:
Part c
We are 99% confident that the true mean for the costs of an order for the local pizzeria is between 20.766 and 25.234
Part d
For this case if we decrease the confidence then the margin of error would be lower and that implies a narrower interval. Becuase the critical value is lower if the decrease the confidence level
Answer:
The value of the x is 176.6 cm .
Step-by-step explanation:
By using the pythagorean theorem .
Hypotenuse² = Perpendicular² + Base²
As in the ΔTVY .
TV² = VY² + YT²
As TV= 95.2 cm
VY = 34 cm
Putting the values in the above
95.2² = 34² + YT²
9063.04 - 1156 = YT²
7907.04 = YT²
YT = 88.9 cm (Approx)
As in the ΔTYK .
TK² = KY² + YT²
TK = 168 cm
TY= 88.9 cm
Putting the values in the above
168² = 88.9² + YK²
28224 - 7903.21 = YK²
YK = 142.6 cm (Approx)
Thus
VK = VY + YK
Putting the values in the above
VK = 34 + 142.6
= 176.6 cm
Therefore the value of the x is 176.6 cm .
We are given
two ratios as
First ratio:
we can simplify it
Second ratio:
we can simplify it
we can cancel 4
so, both ratios are same
so, they are proportional..........Answer