Answer:
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]Green = 2[/tex]
[tex]r = 3[/tex] --- selected balls (with replacement)
Required
Determine the probability distribution for the green balls.
Let x be a [tex]random\ variable[/tex] such that:
[tex]x = 0, 1, 2, 3[/tex]
Because it is a selection with replacement
The probability of a green ball being drawn is always:
[tex]P(G) = \frac{Green}{Total}[/tex]
[tex]P(G) = \frac{2}{6}[/tex]
[tex]P(G) = \frac{1}{3}[/tex]
The probability of a black ball being drawn is always:
[tex]P(B) = \frac{Black}{Total}[/tex]
[tex]P(B) = \frac{4}{6}[/tex]
[tex]P(B) = \frac{2}{3}[/tex]
So, the probability distribution of green is:
[tex]P(X = x) = (P(B))^{3-x} * (P(G))^x[/tex]
[tex]P(X = x) = (\frac{2}{3})^{3-x} * (\frac{1}{3})^x[/tex]
Apply law of indices
[tex]P(X = x) = \frac{2^{3-x}}{3^{3-x}} * \frac{1^x}{3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1^x}{3^{3-x}*3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^{3-x+x}}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^3}[/tex]
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Suppose a tree limb falls on your house during a storm and causes $9,500 worth of damage to your pool cage. The premium for your homeowners insurance is $150/month, and your deductible is $4,000 with an out-of-pocket maximum of $10,000. If this event is a covered event, how much will you need to pay a contractor to repair the damage to the pool cage?
A: $4000
B: $9500
C$10,000
Answer:B
Step-by-step explanation:
The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500
Calculation of the amount:Since the amount of $9,500 should be considered as the worth of damage to your pool cage.
Also there are other charges like premium, deductible amount, pocket maximum amount, etc.
So based on the payment only $9,500 should be conisdered.
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For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.
Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?
Answer:
second choice
Step-by-step explanation:
edge
The region outside the circle is under the consideration. Then the correct option is B.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The inequality equation of the graph is given below.
(x – 3)² + (y + 4)² > 36
(x – 3)² + (y + 4)² > 6²
From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).
The region outside the circle is under the consideration.
Then the correct option is B.
The graph is given below.
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What is the area of the rectangle above?
A.
14 square units
B.
28 square units
C.
44 square units
D.
33 square units
Answer:
A = 33 units^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w where l is the length and w is the width
A = 11 * 3
A = 33 units^2
Answer:
D. 33 square units
Step-by-step explanation:
A=wl=3x11=33
Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?
Helpp I need this todayyyyyy
Answer:
86 - 9 = 77
Step-by-step explanation:
Can someone please help me
Answer:
So you must do tan(27)=x/2000Then once you have x you do: x^2+y^2=c^2 solve for c then add up all the sides and then subtract your total by 2000 to get the differencePLZ HELP PLZZZZZZZZZZZZZZZZ
Answer:
d
Step-by-step explanation:
PLEASE SOLVE AND EXPLAIN !!!
Answer:
3.46
Step-by-step explanation:
Write the equation of a line that passes through the point (1,4) and has a slope of 9.
Answer:
y=9x-5
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:
y=9x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,4). When x of the line is 1, y of the line must be 4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).
So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9
is
y=9x-5
What is the product of 3/7x2/5
Answer:
0.1714285714285714
Step-by-step explanation:
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?
Find the z-table here.
79.7 ounces
80.4 ounces
80.9 ounces
81.3 ounces
Answer:
80.4
Step-by-step explanation:
(f) 0.7 - 6.32 + (-0.8) + 1.28
Answer:
=0.7f−5.84
Step-by-step explanation:
Let's simplify step-by-step.
f(0.7)−6.32−0.8+1.28
=0.7f+−6.32+−0.8+1.28
Combine Like Terms:
=0.7f+−6.32+−0.8+1.28
=(0.7f)+(−6.32+−0.8+1.28)
=0.7f+−5.84
Answer:
=0.7f−5.84
Pls Brainliest
a teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6. are the conditions for inference met?
yes the conditions for infants are met
no, the 10% condition is not met
no, the large counts condition is not met
no the rain is condition is not met
Answer:
No, the Large Counts Condition is not met.
Step-by-step explanation:
edge 2021
The condition for inference met is no, the large count's condition is not met.
A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times.
What is the interference?Interference is the phenomenon that occurs when two waves meet while traveling along with the same medium.
The interference of waves causes the medium.
She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6.
Therefore option second is correct.
That is no, the large count's condition is not met.
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8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
Answer:
113.10
Step-by-step explanation:
Answer:
how to make sugar cookies :)
Step-by-step explanation:
2 ¾ cups all-purpose flour
1 teaspoon baking soda
½ teaspoon baking powder
1 cup butter, softened
1 ½ cups white sugar
1 egg
1 teaspoon vanilla extract
Find the area of the shape shown below.
Answer:
10 square units.
Step-by-step explanation:
Remark
No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.
The height has 2 right angles, one at each end.
Givens
b1 = 2
b2 = 8
h = 2
Formula
Area = 1/2 * (b1 + b2 ) * h
Solution
Area = 1/2 * (2 + 4 + 2 + 2) * 2 Be sure you understand where all those 2s came from.
Area = 10 square units
factor the trinomial completely. 10x^2+7x-12
Answer: i think the answer is (5x - 4)(2x +3) if it id wrong i am sorry ok
don't forget to drop a heart
Answer:
the answer is (2x + 3)(5x - 4)
Step-by-step explanation:
A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.
look at the screen shot ya know
The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the total height of the drum is 35 inches.
The diameter at the top of the drum = is 16 inches, and
The minimum diameter is 8 inches, occurring at a height of 22 inches.
The equation of the hyperbola be denoted as;
x²/a² - y²/b² = 1
From the question, with x and y coordinates representing height and radius respectively,
Then,
When x = 35 + a, y is = 16/2 = 8 and
At x = 22+ a, y is = 8/2 = 4
Thus,
(35 + a)²/a² - 8²/b² = 1
(22+ a)²/a² - 4²/b² = 1
By solving, we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
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brainly plus if u help
Answer:
huh
Step-by-step explanation:
Bill has 40 apples. Laurie has 8 times as
many apples.
If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)
Answer:
320man zaans
Step-by-step explanation:
this is the question down below it also has options to choose
Answer:
Sorry, this answer has been removed and the account has been banned for 17 hours, 19 minutes and 52 seconds
Step-by-step explanation:
Answer:
Were is the problem?
Step-by-step explanation:
Look at the picture please!!!!
Answer for 1:
8x + 10
Answer for 2:
2x + 1
Answer for 3:
-3x - 15
Answer for 4:
2x + 10
Answer for 5:
-3x - 5
Answer for 6:
-17x - 3
Answer for 7:
8x - 18
Answer for 8:
-x + 4
Answer for 9:
4.8x + 5.6
Answer for 10:
1.25x + 1
Answer for 11:
The Dolphins won 7x + 10 more points than the Jaguars
Answer for 12:
The sandwich costs x + 1.01 more than the drink
Answer for 13:
Tuition costs 7x + 25 more than fees
Tuition costs 7x + 72 more than rooms and board
Answer:
1. 9x squared + 34x +21
2. 2x + 1
3. -3x + 15
4. 2x + 10
5. 14x + 3
6. -17x - 3
7. 8x- 18
8. -x + 4
9. -4.8x + 5.6
10. -1.25x + 0.2
11. 7x-4
12. x + 1.01
13. 6x + 22
I think these are the correct answers. Sorry if I'm wrong. I hope this helped!
Step-by-step explanation:
Solve for <4.
4 = [?]
O
319
32°
64
Step-by-step explanation:
32+31+x=180
63+x=180
x=117
x= 117 4
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
In a bowl that has 12 jolly ranchers candies, there are 3 Yellow 5 Red and 4 Green. you pick two of these Jolly Ranchers from the bowl WITHOUT REPLACEMENT.
1 find the probability that both candies are red?
Answer:
0.15 or 20/132 or 5/33 or 15%
Step-by-step explanation:
5/12 is the probability for the first red candy.
The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.
Match each indicated measure in the first column for
⊙
O
⊙O.
Answer:
Step-by-step explanation:
By the property,
"Measure of the intercepted arc is double of the inscribed angle"
m(arc BC) = 2×48°
= 96°
By using the same property,
m(arc AC) = 2 × m(∠B)
m(∠B) = [tex]\frac{110}{2}[/tex]
= 55°
m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]
48° + 55° + m(∠C) = 180°
m(∠C) = 180° - 103°
= 77°
m(arc AB) = 2 × (m∠C)
= 2×77
= 154°
What is the slope of the line?
Answer: 2
Step-by-step explanation:
Plzz help meee!
A. Break up the figure into a 2 ft by 3ſ it triangle and a 5 ft by § ft rectangle.
B.Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by 3 ft rectangle.
C.Break up the figure into a 2 ft by § ft triangle and a 5 ft by § ft rectangle.
D.Break up the figure into a 2 ft by 13 ft triangle and a 5 ft by 3 ft rectangle.
Answer:
Step-by-step explanation:
helpppppp ill give brainliest answer if you know
Answer:
16 in squared
Step-by-step explanation:
A farmer sells 8.5 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
6 kilograms of apples
Step-by-step explanation:
8.5-2.5=6
Hope I helped