Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD 
Hence we start from determining slope of AB
slope is given as
Hence 
There fore 
(∵ Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)
Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x
Hence the x intercept is 17
We have an equation: 56/? = 4/100
Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4 = 1,400
There are 1,400 blank days~
Answer:
The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.
Step-by-step explanation:
Let X: weight of a red delicious apple, and B: the weight of the box and packing material.
The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.
Applying the property of the mean: 
, the mean of W will be:
Applying the property of the variance: 
, the variance of W will be:
The mean standard deviation of W will be the squared root of V(W):
The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.
Answer: 282.60in³
Step-by-step explanation:
When calculating the volume of a cylinder, the formula to use is:
= πr²h
where,
π = 3.14
r = radius = 3 in
h = height = 10 in
Volume = πr²h
= 3.14 × 3² × 10
= 282.60
Therefore, the volume of the cylinder is 282.60in³
Answer:
9 3/4 cups of sugar
Step-by-step explanation:
