Answer:
Probability of no one picking up a defective product = 571 / 1540
Step-by-step explanation:
Total number of items = 22
non-defective items = 22-3 = 19
Probability of all three picking up non-defective products
= 19/22 * 18/21 * 17/20
= 969/1540
Probability of at least one picking up a defective product
= 1 - 969/1540
= 571/1540
(=0.371, approx.)
Before we figure out how many customers you will need to talk per day to reach your goal, let's calculate what is 20% of how many customers you normally talk to a day.
current no. = 8
goal = 8 + 20%
20% = 8 x 0.20
(a percent is really just a fraction with the percent number over 100)
20% = 1.60
goal = 8 + 1.60
goal = 9.60
However, there is no such thing as .60 of a person so we will have to round up. You will need to talk to 10 customers per day.
<u>Answer:</u>
- 6. 6.75
- 7. 27
- 8. 92/17
- 9. 49
<u>Step-by-step explanation:</u>
<u>- Question 6 -</u>
- 9/16 = x/12
- => 16x = 12 x 9
- => 16x = 108
- => x = 6.75
Hence, <u>the value of x in this proportion is 6.75.</u>
<h3>_______________________________</h3>
<u>- Question 7 -</u>
- -3 + x/18 = 12/9
- => -3/18 + x/18 = 4/3
- => x/18 = 4/3 + 1/6
- => x/18 = 8/6 + 1/6
- => x/18 = 9/6
- => x = 9/6 x 18
- => x = 27
Hence, <u>the value of x is 27</u>
<h3>_______________________________</h3>
<u>- Question 8 -</u>
17/15 = 10/2x - 2
=> 17(2x - 2) = 150
=> 34x - 34 = 150
=> 34x = 184
=> x = 184/34
=> x = 92/17
Hence, <u>the value of x is 92/17</u>
<h3>_______________________________</h3>
<u>- Question 9 -</u>
- x - 16/x + 6 = 3/5
- => 5(x - 16) = 3(x + 6)
- => 5x - 80 = 3x + 18
- => 2x = 98
- => x = 49
Hence, <u>the value of x is 49.</u>
<h3>_______________________________</h3>
Hoped this helped.
The answer is 16000000000.
Because you take the decimal and move it 10 times to the right.
Answer:
Step-by-step explanation:
The vertex form of a parabola:
(h, k) - vertex
We have the vertex at (3, 2) → h = 3 and k = 2.
Substitute:
The point (4, 6) is on athe parabola. Put the coordinates of this point to the equation:
<em>subtract 2 from both sides</em>
Finally:
<em>vertex form</em>
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>
<em>standard form</em>
