Answer: 1024
Step-by-step explanation:
30+2 * 30+2
32 * 32
1024
The probability that one of each color is selected is ![\frac{10x - x^2}{45}](https://tex.z-dn.net/?f=%5Cfrac%7B10x%20-%20x%5E2%7D%7B45%7D)
<h3>Probabilities</h3>
The probability of an event is the chances of the said event
The given parameters are:
- Total = 10
- Red = x
- Blue = 10 - x
<h3>Calculating the required probability</h3>
The probability that one of each color is selected is calculated as follows:
![P = P(Blue) \times P(Red) + P(Red) \times P(Blue)](https://tex.z-dn.net/?f=P%20%3D%20P%28Blue%29%20%5Ctimes%20P%28Red%29%20%2B%20P%28Red%29%20%5Ctimes%20P%28Blue%29)
So, we have:
![P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B10%20-%20x%7D%7B10%7D%20%5Ctimes%20%5Cfrac%7Bx%7D%7B9%7D%20%2B%20%5Cfrac%7Bx%7D%7B10%7D%20%5Ctimes%20%5Cfrac%7B10%20-%20x%7D%7B9%7D)
This gives
![P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Bx%2810%20-%20x%29%7D%7B90%7D%20%2B%5Cfrac%7Bx%2810%20-%20x%29%7D%7B90%7D)
Take LCM
![P = \frac{2x(10 - x)}{90}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B2x%2810%20-%20x%29%7D%7B90%7D)
Simplify the above expression
![P = \frac{x(10 - x)}{45}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7Bx%2810%20-%20x%29%7D%7B45%7D)
Expand
![P = \frac{10x - x^2}{45}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B10x%20-%20x%5E2%7D%7B45%7D)
Hence, the probability that one of each color is selected is ![P = \frac{10x - x^2}{45}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B10x%20-%20x%5E2%7D%7B45%7D)
Read more about probabilities at:
brainly.com/question/7965468
476*1.05*1.15=574.77
The Striton family paid a total of $574.77 on their meal.
Answer:
x+3y=-1
Step-by-step explanation:
y=3x-2 so m=3 old slope
the new slope must be -1/3 (opposite reciprocal of the old slope).
y-y0=m*(x-x0)
y-2=-1/3*(x-(-7))
y-2=-1/3x-1/3*7
y-2=-1/3x-7/3
3y-6=-x-7
The standard form for linear equations in two variables is Ax+By=C.
x+3y=6-7
x+3y=-1
Answer:
28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms
Step-by-step explanation:
Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).
To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?
Solution:
Total Strands = 80
White Strands = 35%
No. of white strands = ![35\% \times 80 =\frac{35}{100} \times 80 =28](https://tex.z-dn.net/?f=35%5C%25%20%5Ctimes%2080%20%3D%5Cfrac%7B35%7D%7B100%7D%20%5Ctimes%2080%20%3D28)
Blue Strands = 25%
No. of blue strands = ![25\% \times 80 =\frac{25}{100} \times 80 =20](https://tex.z-dn.net/?f=25%5C%25%20%5Ctimes%2080%20%3D%5Cfrac%7B25%7D%7B100%7D%20%5Ctimes%2080%20%3D20)
Red Strands = 40%
No. of Red strands = ![40\% \times 80 =\frac{40}{100} \times 80 =32](https://tex.z-dn.net/?f=40%5C%25%20%5Ctimes%2080%20%3D%5Cfrac%7B40%7D%7B100%7D%20%5Ctimes%2080%20%3D32)
Hence 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms