The probability is 0.9671.
The z-score for this is given by
z = (x - μ)/(σ/√n)
z = (38000-37500)/(1561/(√33)) = 1.84.
Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this is 0.9671.
Evaluate the given function in x=-4.
This is, replace the x in the function for -4 and find the value of g(-4).
![\begin{gathered} g(x)=x^2-4x \\ g(-4)=(-4)^2-4(-4) \\ g(-4)=16+16 \\ g(-4)=32 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20g%28x%29%3Dx%5E2-4x%20%5C%5C%20g%28-4%29%3D%28-4%29%5E2-4%28-4%29%20%5C%5C%20g%28-4%29%3D16%2B16%20%5C%5C%20g%28-4%29%3D32%20%5Cend%7Bgathered%7D)
The value of g(-4) is 32.
Answer:
56
Step-by-step explanation:
First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:
70% → 70.00 → 0.70 → 0.7
70% percent can be seen as 0.7. Multiply this by 80:
![80*0.7=56](https://tex.z-dn.net/?f=80%2A0.7%3D56)
So, 70% of 80 is 56. Desmond sold 56 cups on the second Saturday.
:Done
To work out the distance of the path, you need to find out the circumference.
Formula for circumference = pi multiplied by the diameter
So you simply do:
pi multiplied by 1.4 miles
And you should get:
4.39822971503... miles
Simply round the result to an appropriate value (e.g. 3 decimal places).
Answer: 4.398 miles (to 3dp)
Hope the answer helps :)
Brayden has 38 bags.
After giving away 15 bags of marbles, Brayden is left with 23 bags.
To find out how many bags he has we do 342 divided by 9 which is 38.
To find out how many marbles are in 15 bags we do 15 x 9 which is 135.
We then do 342 - 135 to find out how many marbles he has left which is 207 and divide 207 by 9 to convert that into bags, which is 23.