Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Answer:
it is an isosceles obtuse triangle.....
you can choose anyone
isosceles ( since two of its sides are equal but not the third)
or obtuse ( since one angle is more than 90)
Answer:
Josh's total bill is $ 27.825
Step-by-step explanation:
Given:
The subtotal of the Josh Bill = $21.00
<u>Finding the usual amount Josh gave as Tip To his sever:</u>
Usually josh tips 20% to all servers
So Tip = 20% of his subtotal
=> 
=>
=>
=>4.2
So Josh usually tips $4.2 to his server
<u>Finding the amount Josh gave 25%</u><u> </u><u>as Tip To his sever:</u>
But now he tips 25% which is
=> 25% of 21
=> 
=> 
=> 5.25
Thus the tip amount will be $5.25
So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip
<u>Finding the total bill</u>
The total bill = subtotal+ 7.5% sales tax + 25% tip
=> 21 + 7.5 % of 21 + 25% of 21
=> 
=>
=> 21 +1.575 +5.25
=>27.825
If the ends span from the 0 to the 15 meter mark, then the length of the pipe is 15 meters. However, you should report it using the right amount of significant figures. It is mentioned in the problem that millimeter marks are calibrated between meters. Since millimeter is 1/1000 of a meter, you should add three decimal places to the 15 meters. Hence, you should report it as 15.000 meters.
