The probability of winning the jackpot is 0.000065
The number of successful outcomes is 1 because there is only one winning combination.
The total number of possible outcomes can be calculated by multiplying the number of possibilities for each event:
Number of possibilities for selecting 5 white balls out of 13:
This can be calculated using the combination formula (nCr).
In this case, it is 13C5.
Number of possibilities for selecting 1 gold Mega Ball out of 12 is simply 12.
Therefore, the total number of possible outcomes is (13C5) × 12.
To calculate (13C5), we can use the combination formula: nCr = n! / (r! (n - r)!)
(13C5) = 13! / (5! × (13 - 5)!)
= 13! / (5! × 8!)
= (13 × 12 × 11 × 10 × 9) / (5 × 4 × 3 × 2 × 1)
= 1287
Now, we can calculate the total number of possible outcomes:
Total number of possible outcomes = (13C5) × 12
= 1287 × 12
= 15444
The probability of winning the jackpot by dividing the number of successful outcomes by the total number of possible outcomes:
Probability of winning the jackpot = 1 / 15444
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
A.) 5541.8
Step-by-step explanation:
Answer:
A. 5541.8 cm²
Step-by-step explanation:
The surface area of a sphere is given by the formula [tex]\boxed{\bold{SA = 4\pi r^2}}[/tex], where r is the radius of the sphere.
In this case, we know that the diameter ips 42 centimeters. This means that the radius is [tex]r = \frac{d}{2} = \frac{42}{2} = 21[/tex] centimeters.
Substituting this into the formula, we get:
[tex]SA = 4\pi (21)^2 = 1764\pi[/tex]
To the nearest tenth, this is 5541.8 square centimeters. Therefore, the surface area of the sphere is 5541.8 square centimeters.
Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. [tex]7(3x^2-2x-8)[/tex]; -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
Which technique for sampling 20 tosses of a coin would most likely introduce a sampling error?
Choosing the first 10 events for the sample
Putting all the events into two groups of heads and tails and randomly selecting 5 events from each group
Numbering all the events and using a random number generator to select 10 events
Taking every other event until 10 events are selected
The sampling that would most likely introduce a sampling error is (a) Choosing the first 10 events for the sample
Selecting the sampling that would most likely introduce a sampling error?
From the question, we have the following parameters that can be used in our computation:
The list of options
Also, we have
Tosses = 20
From the list of options, we have
(a) Choosing the first 10 events for the sample
This techique will introduce a sampling error because the selection done by the sampling is not a random selection
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Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
<95141404393>
24,31,12,38,12,15
find the mean, median, mode, and range
Answer:
Mean=22
Median=19.5
Mode=12
range=26
Step-by-step explanation:
mean - 12 +12+15+24+31+38 = 132 / 6 =22
median - 15+24 / 2 = 39/2=19.5
mode - 12
range - 38-12 = 26
help 10 points for answer
Answer:1 16
Step-by-step explanation:
Suvey of 300 people about transportation. Bus:Train ratio is 3:2, Bus:Cab ratio is 9:5. How many prefer the cab
Approximately 107 people prefer taking a cab based on the given ratios.
To determine the number of people who prefer taking a cab based on the given ratios, we need to find the common ratio between the number of people who prefer buses and cabs.
The ratio of Bus to Train is given as 3:2, which means out of every 5 people, 3 prefer the bus and 2 prefer the train.Similarly, the ratio of Bus to Cab is given as 9:5, which means out of every 14 people, 9 prefer the bus and 5 prefer the cab.
Since the ratios of Bus to Train and Bus to Cab need to be consistent, we can find the common ratio by determining the least common multiple of the denominators, which is 14.
So, for every 14 people, 9 prefer the bus and 5 prefer the cab.To find the number of people who prefer the cab, we need to calculate 5/14 of the total surveyed population:
(5/14) * 300 = 107.14 (approximately)
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Account A has a simple annual interest rate 1.5% and Account B has a simple annual interest rate of 6%. How much more interest do you earn per year when you deposit x dollar in Account B instead of Account A ?
When you deposit x dollars in Account B instead of Account A, you would earn an additional 0.045x dollars in interest per year.
To solve this problem
We need to compare the interest earned from each account.
The interest earned for Account A with a 1.5% simple annual interest rate can be computed as follows:
Interest A = (Simple interest rate A / 100) * Principal A
The calculation of the interest earned for Account B with a simple yearly interest rate of 6% is as follows:
Interest B = (Simple interest rate B / 100) * Principal B
Subtracting the interest earned in Account A from the interest earned in Account B yields the difference in interest:
Difference in interest = Interest B - Interest A
Let's plug in the values and calculate the difference:
Difference in interest = ((6 / 100) * x) - ((1.5 / 100) * x)
= (0.06x) - (0.015x)
= 0.045x
Therefore, when you deposit x dollars in Account B instead of Account A, you would earn an additional 0.045x dollars in interest per year.
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What is the fraction of 4’-4” + 6’ -2
The fraction of the given expression which is 4’-4” + 6’ -2 is 114/1.
What is fraction?First step is to convert the measurements to a common unit.
4' = 4 x 12 = 48 inches
4" = 4 inches
6' = 6 x 12 = 72 inches
2 = 2 inches
Now let substitute the values
48 inches - 4 inches + 72 inches - 2 inches
= 114 inches
To express this as a fraction we need to find the denominator. Let's choose the common denominator of 1 inch.
So, the fraction is:
114 inches / 1 inch
= 114/1
= 114
Therefore the fraction of 4'-4" + 6' - 2 is 114/1.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
the domain (input values) of the sine function is:
The commonly used domains for the sine function are options A, B, and C, depending on the specific context and requirements of the problem.
Option A, B, C are correct.
The domain of the sine function depends on the unit used to measure angles. The sine function is defined for all real numbers, but its values repeat periodically.
In trigonometry, angles are commonly measured in radians. The sine function is periodic with a period of 2π radians. This means that the values of the sine function repeat every 2π radians. Therefore, the domain of the sine function in radians is all real numbers, or in other words, angle measures can be any real number.
However, if we consider specific ranges or intervals, we can determine the domain within those intervals where the sine function takes on unique values. For example:
Option A: Angle measures between 0 and π radians
This represents the interval from 0 to 180 degrees. In this range, the sine function takes on unique values and has a one-to-one correspondence with the input values. So, option A is a valid domain for the sine function.
Option B: Angle measures less than 90°
This represents the interval from 0 to 90 degrees. Similar to option A, the sine function takes on unique values within this interval. So, option B is also a valid domain for the sine function.
Option C: Angle measures between 0 and 2π radians
This represents the interval from 0 to 360 degrees. In this range, the sine function completes one full period and repeats its values. So, option C is a valid domain for the sine function as well.
Option D: All angle measures, including negative angles
This option suggests that the domain of the sine function includes all possible angle measures, both positive and negative. However, negative angles would lead to repeated values since the sine function is periodic. Therefore, option D is not the typical or commonly used domain for the sine function. Option A, B, C are correct.
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A
B
X =
4x
2x
D
C
Use the rectangle shown above to solve for x.
A
Answer: x = 15
Step-by-step explanation:
4x + 2x = 90 (the square in the corner indicates a 90deg angle)
6x = 90
x/6 = 90/6
x = 15
Which is a negatively skewed distribution?
The negatively skewed distribution is option A.
We have,
A negatively skewed distribution means that the distribution is skewed to the left.
In this case, the mean will be less than the median, indicating that the tail of the distribution is elongated to the left side.
Now,
We see that,
Option B is a normal distribution.
Option C is also a normal distribution.
Option D is distributed on both sides.
But,
Option A is a negatively skewed distribution.
Since the distribution is skewed to the left.
Thus,
The negatively skewed distribution is option A.
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Find the equation of the line shown in the graph.
Answer:
x = -5
Step-by-step explanation:
You want the equation of the vertical line with x-intercept -5.
Vertical lineEvery point on a vertical line has the same x-coordinate. The y-coordinate can be anything. The equation of such a line is ...
x = c . . . . . . . for some constant c
When the line passes through points with an x-coordinate of -5, the constant (c) in the equation is -5.
The equation of the line is x = -5.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
D. Circle
Step-by-step explanation:
The horizontal cross section of a cone is a circle. This is because the cone is a three-dimensional object that has a circular base.
what number should be added to both sides of the equation to complete the square in x2+8x=17?
Answer:
〖(x+4)〗^2=33
Step-by-step explanation:
x^2+8x=17
∴Multiplying the coefficient of "x" with "1" /"2" and adding "square\"" of the answer of multiplication on both sides
x^2+1/2 (8x)+(4)^2=17+(4)^2
〖(x+4)〗^2=17+16
〖(x+4)〗^2=33
How many distinct proper subsets are there of the set N = {2, 50, 62, 13, 40}?
To find the number of distinct proper subsets of a set, we need to consider that a proper subset is a subset that includes some, but not all, of the elements of the original set.
The set N = {2, 50, 62, 13, 40} contains 5 elements. For each element, we have two choices: include it in a subset or exclude it. This means that for each element, there are 2 possibilities: it can be in the subset or not in the subset.
Therefore, the total number of distinct subsets of a set with 5 elements is 2^5, which is equal to 32.
However, since we are looking for proper subsets, we need to exclude the empty set and N itself from the count. So, the total number of distinct proper subsets of the set N = {2, 50, 62, 13, 40} is 32 - 2 = 30.
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
B.) 108
Step-by-step explanation:
V=1/2 bhl
WS SAMPLE
Find the area of each sector. Round your answers to the nearest tenth.
13)
60° 10 in
Area of sector would be,
⇒ Area of sector = 102.6 feet squared
We have to given that,
Radius of circle = 14 ft
Angle θ = 60°
Now, We know that,
Area of sector = [θ/360]πr²
Where, r is radius of circle.
Hence, We can substitute all the values, we get;
Area of sector = [θ/360]πr²
Area of sector = [60/360](22/7)(14)²
Area of sector = [1/6][22/7][196]
Area of sector = 102.6 feet squared
Thus, Area of sector would be,
⇒ Area of sector = 102.6 feet squared
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A towns population is 50,000 in 2018. The population has been growing at a rate of 3.7% each year. What is the estimated population of 2025? Show the equation you used and the answer
Answer:
65,150
Step-by-step explanation:
Plugging in the given values, we get: P(2025) = 50,000 * (1 + 0.037)^7 P(2025) = 50,000 * 1.303 P(2025) = 65,150 Therefore, the estimated population of the town in 2025 is 65,150 (rounded to the nearest whole number)
Answer:Therefore, the estimated population of the town in 2025 is approximately 63,825.
Step-by-step explanation: To estimate the population of the town in 2025, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (population in 2025)
P = Initial amount (population in 2018)
r = Annual growth rate (in decimal form)
n = Number of times the interest is compounded per year
t = Number of years
Given:
P = 50,000
r = 3.7% = 0.037 (converted to decimal)
n = 1 (compounded annually)
t = 2025 - 2018 = 7 years
Substituting the values into the formula, we have:
A = 50,000(1 + 0.037/1)^(1*7)
A = 50,000(1 + 0.037)^7
A = 50,000(1.037)^7
A ≈ 50,000(1.2765)
A ≈ 63,825
Problem:§
Three small squares are drawn inside of a larger square without overlapping. What is the length of the line a?
The length of line a is equal to sqrt(x^2/3).
To solve this problem, we need to use some basic geometry concepts. First, we can label the sides of the larger square as x, and thus the area of the larger square is x^2. We can also label the sides of the smaller squares as y, and thus the area of each smaller square is y^2.
Since the three smaller squares do not overlap, we know that their combined area is equal to the area of the larger square. Thus, 3y^2 = x^2.
We also know that line a is equal to the side length of one of the smaller squares, which is y. Thus, we need to solve for y in the equation 3y^2 = x^2.
Taking the square root of both sides, we get y = sqrt(x^2/3).
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The correct answer is (D) 6 x 6 x 6 x 6, which represents the number of possible outcomes when rolling the die 4 times.
The Fundamental Counting Principle states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things.
In this case, a die is rolled 4 times. Each time the die is rolled, there are 6 possible outcomes (numbers 1 to 6). Therefore, using the Fundamental Counting Principle, the number of possible outcomes for rolling the die 4 times can be calculated as:
6 * 6 * 6 * 6
Simplifying the expression, we get: 6^4
Note: Option (A) 4 x 3 x 2 x 1 represents the number of permutations of 4 distinct items, and option (B) 6 x 5 x 4 x 3 represents the number of permutations of choosing 4 items from 6 distinct items. Option (C) 6 x 4 does not account for rolling the die multiple times.
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Need help immediately will give more points
Answer:
49°
Step-by-step explanation:
since line PT is a tangent to the circle
angle OPT is 90°
and PTO is 41°
sum of angles in a triangle is 180°
angle PTO + angle OPT+ angle TOP=180°
41°+90°+ TOP=180°
angle TOP=180°-41°-90°
angle TOP=49°
A
to
X =
38°
E
you
D
C
The image above shows a rhombus. Solve for angles x and y.
N
2(2x - 4) = 3(x + 4)
Answer:
24
Step-by-step explanation:
i dont know if its correct
If PEPE has 2 dollars and BILLY takes away 20, how how much does PEPE have now?
Answer:
-18$
Step-by-step explanation:
Pepe will have a loan of 18$ since they don't have 20 dollars but Billy took it away
peep have 18dollars.
20-2
=18
One month Ashley rented 2 movies and 6 video games for a total of $38. The next month she rented 5 movies and 3 video games for a total of $32. Find the rental cost for each movie and each video game.
The rental cost for each movie (m) is approximately $3.25, and the rental Cost for each video game (v) is approximately $5.25.
The rental cost for each movie and each video game, let's assign variables to represent the rental cost per movie and per video game. Let's use "m" for the rental cost of a movie and "v" for the rental cost of a video game.
From the given information, we have two equations:
Equation 1: 2m + 6v = 38
Equation 2: 5m + 3v = 32
We now have a system of equations that we can solve to find the values of m and v.
We can start by multiplying Equation 1 by 5 and Equation 2 by 2 to eliminate the m variable:
10m + 30v = 190 ... Equation 3
10m + 6v = 64 ... Equation 4
Now, subtracting Equation 4 from Equation 3, we can eliminate the m variable:
(10m + 30v) - (10m + 6v) = 190 - 64
24v = 126
v = 126/24
v ≈ 5.25
Substituting the value of v into Equation 1, we can solve for m:
2m + 6(5.25) = 38
2m + 31.5 = 38
2m = 38 - 31.5
2m = 6.5
m = 6.5/2
m ≈ 3.25
Therefore, the rental cost for each movie (m) is approximately $3.25, and the rental cost for each video game (v) is approximately $5.25.
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Find a formula for this function.
7.2
www
2.4
2.5
17.5
y = [?] cos(2(x-[]))+ []
Enter
The formula for the given function y = 0.9cos(2π/4(x - 0.55)).
Amplitude: The given function oscillates between a maximum value of 0.9 and a minimum value of -0.9.
Period: From the graph, we can see that the function completes one full cycle between x = 0 and x = 4.
Phase Shift: The function is horizontally shifted to the right. We need to find the amount of this shift.
The distance between x = 0 and x = 2.2 is 2.2 units.
Since the period of the function is 4 units, the phase shift is 2.2/4 = 0.55 units.
Vertical Shift: The vertical shift of the function is also 0.
Frequency: From the period, the frequency of the function is 1/4.
So, the formula of function is y = 0.9cos(2π/4(x - 0.55)).
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I’LL GIVE 5 STARS, A HEART, AND BRANLIEST TO WHOEVER ANSWERS FIRST
(Please answer the entire question and show work)
Answer:
¿Por qué borraste mi comentario? ¿Es porque hablo español? Lo lamento
Step-by-step explanation:
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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