Total distance walked by Tarik is 0.75 miles according to the given equation.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
Given that
The expression that represents the Tarik's distance is
=> f(x) = 3∣x−0.5∣
And also given that at 7.15 am he is some distance away from the store
Let Tarik is 'a' miles away from the store at 7.15 am
The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes
As we know 60 minutes = 1 hr
=> 15 minutes = 15/60 = 0.25 hrs
The given expression to find the Distance is
f(x) = 3 ∣x − 0.5∣ where x is number of hours
At x = 0.25
f(0.25) = 3 |0.25 - 0.5|
= 3 |- 0.25|
= 0.75 miles
Therefore,Tarik is 0.75 miles away from the store.
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<h2>
Answer with explanation:</h2>
The confidence interval for population mean is given by :-
(1)
, where 
= sample mean
z* = critical value.
SE = standard error
and 
, 
= population standard deviation.
n= sample size.
As per given , we have
n= 15
It is known that ring diameter is normally distributed.
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 99% two-sided confidence interval on the true mean piston diameter :
(using (1))
[Rounded to three decimal places]
∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 95% lower confidence bound on the true mean piston diameter:
(using (1))
[Rounded to three decimal places]
∴ A 95% lower confidence bound on the true mean piston diameter= 74.020
Answer:
141.4
Step-by-step explanation:
Plug the numbers into the formula, V=πr2h, you know that your radius is 3 and your height is 5, so you get V=π(3)2(5), you just then put it in the calculator. You get 141.37, round to the nearest tenth 141.4
Answer:
32 units^2
Step-by-step explanation:
Finding the width and the length:
One side = √[(-1 - (-1)^2 + (5 - (-3))^2]
= √(0 + 64)
= 8.
The adjacent side = √(9-9)^2 + (-3-5)^2
= 8.
Perimeter - 4 *8 = 32 units^2.
