There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from the urn without replacement. Let X, Y , and W denote the number of yellow, blue, and orange balls selected, respectively.
(a) Find P{X + W = 1}.
(b) Find P{X = 2, Y = W}
Answers
Using the probability concept, it is found that:
a) P{X + W = 1} = 0
b) P{X = 2, Y = W} = 0.0667
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In total, 8 balls are chosen from a set of 19, hence:
[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]
Item a:
1 from a set of 15.7 from a set of 4.Not possible, hence:
P{X + W = 1} = 0
Item b:
2 from a set of 6.3 from a set of 9.3 from a set of 4.Hence:
[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]
Then, the probability is:
[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]
P{X = 2, Y = W} = 0.0667
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Step-by-step explanation:
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2
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y
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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What is a percentage?
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We have,
Decreasing x by 55%.
This can be written as,
= x - (55/100)x
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= 0.45x
Thus,
The decreasing x by 55% is 0.45x
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Look at UVZ and WVZ in the image below.
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Answer:
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Step-by-step explanation:
they show on usa test prep
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As indicated in the image, the best description for the given pair of angles is supplementary.
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Step-by-step explanation:
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Answers
Answer:
5y*5y*5y
Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
this question got asked three times =)
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Incase photo is blurry
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Answers
Answer:
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Hoped this helped!
Step-by-step explanation:
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Answers
Answer:
a
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
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what number is its own oppositie?
The number 0 is the only number that is its own opposite.
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
the radius is diameter divided by 2
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1. What is the x-intercept for the equation -2x+5y =-10?
Answers
Answer:
2x-5y=10 in slope intercept form is y=2/5x-2. The x intercept would be 5 and the y intercept would be -2. The slope is 2/5.
Step-by-step explanation:
Think about the axis for a moment. You have the y-axis and the x-axis. The y-axis crosses the x-axis at y=0. Consequently the graph must also cross the x-axis when its equation has its y-value set to 0.
Likewise the graph will cross the y-axis when x=0
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solving your question
To find the x-intercept set y=0 giving
[tex] - 2x + 5(0) = - 10 \\ - 2x = - 1 |?| [/tex]
Multiply both sides by ( -1) giving
[tex]2x = 10[/tex]
Divide both sides by 2 giving
[tex] \frac{2}{2} \times x = \frac{10}{2} \\ [/tex]
But [tex] \frac{2}{2} = 1 \: \\ [/tex] giving
[tex]x = \frac{10}{2} \\ [/tex]- BRAINLIEST answerer
here is the other question
Answers
Answer:
1. -3 × A1 + A2 --> B2
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
Step-by-step explanation:
1. -3 × A1 + A2 --> B2
(4x × -3) + 12x = -12x + 5x = -7x
(2y × -3) + 6y = -6y + 6y = 0y
(-10 × -3) + -9 = 30 - 9 = 21
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
-7x × [tex]-\frac{1}{7}[/tex] = 1x
21 × [tex]-\frac{1}{7}[/tex] = -3
Same process as last time
A nutrition company is marketing a low-calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 calories. Determine how many calories 14 brownies would have. Round to the nearest calorie
Answers
The number of calories in 14 brownies is 233 calories.
The first step is to determine the average calorie in 1 brownie.
Average calorie = 50 calories / 3 = 16.667 calories
In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.
Total calories = 16.67 x 14 = 233 calories
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