Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for 
So then 
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
Step-by-step explanation:
Line segment = EG
point on a line segment = F
EG = 100
EF = 4x - 20
FG = 2x + 30
a/q, EF + FG = EG
the equation is
4x - 20 + 2x + 30 = 100
now solution for x is
→ 4x - 20 + 2x + 30 = 100
→ 6x + 10 = 100
→ 6x = 100 - 10 = 90
→ x = 90/6 = 15
therefore, value of x is 15.
and according to given information
EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40
FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60
hope this answer helps you dear..take care and may u have a great day ahead!
Answer:
160
Step-by-step explanation:
In math, the word of means multiply. :)
3/8 * 640 = 240, so there are 240 1p coins.
there are the same number of 5P coins, so there are 240 5p.
640 - 1p - 5p = 2p
640-240-240 = 160, so there are 160 2p coins.
Answer:
12x² - x - 20 = (4x+5)(3x−4)
