Answer:
Solution given:
diameter=14cm
radius [r]=14/2=7cm
now
area of semi circle or shaded region: ½πr²=½(3.14*7²)=76.93cm²[approximately]
Answer:
a)
b)
c)
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:

And if we replace we got:

And makes sense since all the values are between 49.62 and 50.04
Step-by-step explanation:
For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:

Part a
For the uniform distribution the expected value is given by
where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:
Part b
The variance for an uniform distribution is given by:
And if we replace we got:
Part c
For this case we want to find this probability:
But we see that the distribution is defined ust between 49.62 and 50.04
And in order to find this we can use the CDF (Cumulative distribution function) given by:

And if we replace we got:

And makes sense since all the values are between 49.62 and 50.04
1/10 of 300 is 30 so June has $30. If June has 10 times as much as Marie then Maria has 1/10 of what June has and 1/10 of 30 is 3 so Marie has $3.
Answer:
≈ 93.06 cm²
Step-by-step explanation:
Subtract the area of the rectangle from the area of the circle
area of circle = πr² = π × 8² = 64π cm²
area of rectangle = 12 × 8 = 108 cm²
Thus
shaded area = 64π - 108 = 201.062 - 108 ≈ 93.05 cm² ( nearest hundredth )
Idk but if anyone does know it because im stuck too!