What percent of $90 = $45
1 answer:
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Given that, the variable z is directly proportional to x, and inversely proportional to y.
So, we can set up an equation as following:
Where k = constant of variation.
Another information given in the problem is, when x is 9 and y is 6, z has the value 19.5.
So, x = 9, y = 6 and z = 19.5.
Let's plug in these values in the above equation. So,
19.5 = k* 1.5
Divided each sides by 1.5 to isolate k.
So, k = 13.
Hence, the equation will be .
Now we need to find the value of z when x= 14, and y= 11 . Therefore,
So, z= 16.5 (Rounded to tenth).
Hope this helps you!
Answer:
The sketch is provided in attached file.
0.0228
Step-by-step explanation:
The sketch is made by taking center at µ=80 and the desired probability of the mentioned area is also demonstrates.
The probability randomly selecting a score greater than 100 from this distribution can be calculated as
P(X>100)=P((X-µ)/σ > (100-80)/10)
P(X>100)=P(z>2)
P(X>100)=P(0<z<∞)-P(0<z<2)
Using normal table the probability corresponds to z-score=2 is 0.0228 and the area on the right side of normal curve is 0.5. So,
P(X>100)=0.5-0.4772=0.0228
The probability randomly selecting a score greater than 100 is 2.28%.
Answer: C)
Step-by-step explanation:
1. You know that the perimeter of the larger driveway is represented with the following expression given in the problem:
2. When you simplify it and add the like terms, you obtain:
3. Now, you can factor out 4. Therefore, you can write the expression as below:
4. So, you can conclude that the answer is the option C.