The probability that the jackpot prize will be won in each of four consecutive draws is (1/60)⁴.
The number of consecutive draws needed will be, n = 233
What is probability?Probability is the likelihood or chance of an event happening or not.
Probability = number of expected outcomes/number of possible outcomes.From the given question, the probability of the jackpot being won in any draw is 1/60.
The probability that the jackpot prize will be won in each of four consecutive draws will be:
1/60 * 1/60 * 1/60 * 1/60 = (1/60)⁴
b. The number of consecutive draws that needs to be made for there to be a greater than 98% chance that at least one jackpot prize will have been won is calculated as follows:
There is a 100% - 98% chance that that none has been won = 2% that none has been won.
Also, the probability of the jackpot not being won in a draw is = 1 1/60 = 59/60
The number of consecutive draws needed will be (59/60)ⁿ ≤ 0.02
Solving for n by taking logarithms of both sides:
n = 233
In conclusion, probability measures chances of an event occurring or not.
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If you are playing a game using this spinner, what is the probability of not
landing on yellow or purple?
blue
green
yellow
orange
Your answer should be in the form of a fraction. Type it like this: 15/52.
Answer:
3/4
Step-by-step explanation:
Fraction of total area of the circle each color occupies in the spinner.
purple = 1/8
red = 1/4
orange = 1/8
yellow = 1/8
green = 1/4
blue = 1/8
Landing on yellow or purple: 1/8 + 1/8 = 1/4
Not landing on yellow or purple = 1 - 1/4 = 3/4
Find the distance between the points (-3, -2) and (-1, -2).
2
Answer:
the answer to your question is 2
Step-by-step explanation:
using distance formula
√(-1-(-3))^2+(-2-(-2))^2
Answer:
2
Step-by-step explanation:
since the y- coordinates are equal, both - 2
then the distance between the points is the absolute value of the difference of the x- coordinates, that is
d = | - 1 - (- 3) | = | - 1 + 3 | = | 2 | = 2
or
d = | - 3 - (- 1) | = | - 3 + 1 | = | - 2 | = 2
How to recognize the domain, the range and the axis of symmetry in a graph?
Answer: Read below.
Step-by-step explanation: To recognize the domain of a graph, you have to find out what points does the graph cross the x-axis? For example, consider the equation, y = x. The domain for this graph is all real numbers, or (-∞, ∞). This is because, the graph goes infinitely forever, and eventually hits every single number in the x-axis. This is true for every single linear graph in the form y = mx + b or ax + by = c. However, in a graph that is an inequality, like let's say, x < 4, then there will be an open dot on 4, and the graph will go to the left infinitely, hitting every single number in the negative x-axis eventually. The interval for this would be (-∞, 4).
The range is as easy as the domain to figure out. Instead of all the values that the graph goes on the x-axis, we need to find all the values that the graph goes on the y-axis. Again, for a linear graph in the form y = mx + b or ax + by = c, the range is also (-∞, ∞). For an inequality though, like y ≥ 2, the graph would have a closed plot on 2 in the y-axis, and go infinitely in the direction of the right, hitting every single y value after 2 eventually. The interval would be [2, ∞).
The axis of symmetry can only be found in parabolas. In parabolas, the axis of symmetry is an invisible vertical or horizontal line (depending on if your parabola is sideways or not.) The invisible line cuts through the vertex of the parabola, or the center of the parabola, and splits it into two even and equal pieces. Thus, the axis of symmetry will always be the x-coordinate of the parabola if upwards or downwards, or the y-coordinate of the parabola if sideways.
Hope this helped!
If "a", "b" and "c" vectors are in cyclic order then:
If a, b and c vectors are in cyclic order , the scalar product is equals to zero which makes Option C to be correct.
What are scaler and vector quantities?A vector can be regarded as quantities that posses both magnitude and a direction this is the opposite to scalar quantity which posses just the magnitude without any direction.
Geometrically, the vector can be described as the line segment, having its length as the magnitude with the arrow over it showing direction.
The scalar product can be gotten with the multiplication of the magnitudes of vectors .
Hence, If a, b and c vectors are in cyclic order , the scalar product is equals to zero .
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CHECK THE COMPLETE QUESTION IN THE ATTACHMENT
Quick algebra 1 question for 25 points!
Only answer if you know the answer, Tysm!
By using the linear function which models the data in the given table, if x = 2, then y is approximately: A. -11.
What is a scatter plot?A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = -5.9245x + 0.9958
If x = 2, then y is approximately:
y = -5.9245(2) + 0.9958
y = -11.849 + 0.9958
y = -10.8532 ≈ -11.
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Sketch a graph of the following rational function: h(x)= x²-1/ x³-2x²-x+2
Note that
[tex]\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}[/tex]
So, for all [tex]x \neq \pm 1[/tex], [tex]f(x)=\frac{1}{x-2}[/tex].
So, the graph looks like something like as following in the image.
The coefficient of determination, r, is the amount of variation in _______ that is explained by the regression line.
The coefficient of determination, r, is the amount of variation in the observed values of the response variable that is explained by the regression line.
About Coefficient of Determination:
When forecasting the result of an event, the coefficient of determination is a statistical measurement that looks at how variations in one variable may be explained by differences in a second variable.
In other words, the coefficient of determination, r, which is more frequently used to refer to the strength of a linear relationship between two variables, is a crucial tool for researchers when undertaking trend analysis.
For illustration, this coefficient of determination might be used to consider the possibility that a woman would give birth to her child on a specific date in the future if she became pregnant on a specific day. This metric's objective in this situation is to determine the relationship between the connected occurrences of conception and birth.
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help!! what do i do?!?
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]y = - 5x + n \\ [/tex]
( -1 , -2 ) satisfies the equation of y[tex] - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7[/tex]
[tex]y = - 5x - 7 \\ 5x + y = - 7[/tex]
Option 2Answer:
○ [tex]5x + y = -7[/tex]
Step-by-step explanation:
The formula for forming the equation of a line given a point and a slope is:
[tex]\boxed{y- y_1 = m(x - x_1)}[/tex],
where:
m = slope (-5)
[tex]y_1[/tex] = y-coordinate of point (-2)
[tex]x_1[/tex] = x-coordinate of point (-1).
Substituting these values into the formula:
[tex]y - (-2) = -5(x - (-1))[/tex]
⇒ [tex]y + 2 = -5(x + 1)[/tex]
⇒ [tex]y + 2 = -5x -5[/tex] [expanding the brackets]
⇒ [tex]y = -5x -5 - 2[/tex] [subtracting 2 from both sides]
⇒ [tex]y = -5x - 7[/tex]
⇒ [tex]5x + y = -7[/tex] [adding [tex]5x[/tex] to both sides]
This means that the second option is correct.
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Burger Barn makes a dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Sandwich Town makes a dipping sauce by mixing 8 spoonfuls of honey with 2 spoonfuls of mustard
Which dipping sauce has a stronger mustard flavor?
The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn
RatioBurger bun:
Honey = 4 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 4
= 2/4
= 1/2
= 0.5
Sandwich:
Honey = 8 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 8
= 2/8
= 1/4
= 0.25
Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.
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Answer:
Step-by-step explanation:
The two dipping sauce have same taste.
determine the rate of change for the right side of…
Answer:
Decreasing at an increasing rate
Step-by-step explanation:
graph looks like an arch
right side is going down
right side is going down as x increases
Students are measuring various objects around the classroom. A pencil measures 8 ⅜ inches while a pair of scissors measures 5 ½ inches. How much longer is the pencil than the pair of scissors?
The pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
A pencil measures [tex]8\frac{3}{8}[/tex] inches.
A pair of scissors measures [tex]5\frac{1}{2}[/tex] inches.
We need to find the difference between the measures of a pencil and the scissors.
We see that the pencil measure is greater than the pair of scissors.
What is a mix fraction?A fraction is a part of a whole number. It has two parts - numerator and denominator.
Example: If you cut a cake into three slices each slice is 1/3.
Where 1 = numerator and 3 = denominator.
Four types of fractions:
Unit fraction - when the numerator is 1.
Proper fraction - When the numerator is less than the denominator.
Improper fraction - When the numerator is greater than the denominator.
Mixed fraction - When the fraction contains a whole number with a proper fraction.
Example: [tex]3\frac{1}{3}[/tex]
The given measure of the pen and the pair of scissors is in mix fraction.
The pencil measure is longer than the pair of scissors measure so,
We will subtract the measure of the pair of scissors from the measure of the pen.
We have,
= [tex]8\frac{3}{8} - 5\frac{1}{2}[/tex]
We can write the mix fraction into an improper fraction.
We multiply the denominator with the whole number and add this product with the numerator to get our numerator of the improper fraction. The denominator will remain the same as the mix fraction in the improper fraction.
So,
[tex]8\frac{3}{8}=\frac{(8\times8)+3}{8}=\frac{64 + 3}{8} = \frac{67}{8}\\ 5\frac{1}{2} =\frac{(5\times2)+1}{2}= \frac{(10+1)}{2} = \frac{11}{2}[/tex]
= 67/8 - 11/2
= (67-44) / 8
= 23 / 8
Writing in mix fraction.
= [tex]2\frac{7}{8}[/tex]
Thus the pencil is longer than the pair of scissors by [tex]2\frac{7}{8}[/tex] inches.
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using point Q as the center of dilation.
Point Q is the center of dilation. Line segment A B is dilated to create line segment A prime B prime. The length of Q A is 1.25 and the length of A A prime is 1.25.
What is the scale factor?
1
1.25
2
2.5
Answer:
(c) 2
Step-by-step explanation:
The dilation scale factor multiplies the distance from the center of dilation.
Distance from QWe are given that QA = 1.25, and that AA' = 1.25. By the segment sum theorem, we have ...
QA' = QA +AA'
QA' = 1.25 +1.25 = 2.50
Scale factorThe scale factor multiplies the original distance:
QA' = k·QA . . . . . . . . . . where k is the dilation scale factor
2.50 = k·1.25 . . . . . . . . using the known lengths
2.50/1.25 = k = 2 . . . . divide by the coefficient of k
The scale factor is 2.
pls help me urgent pls help me
The answers to the questions are:
43.22 minutes15 km/hr6 km0.37 = 37/1000.086 = 86/1000What is distance?This defined as the total number of points that a person has been able to cover at a given period. It is calculated by taking the time and the speed of takeoff into consideration. The speed that a person used and the time it took them to get to their destination is what is used to calculate distance
The time it takes for sunlight to reach is given as
distance/speed
778000000000/300000000
=2593.33 * 60
= 43.22 minutes
The formula for distance is given as speed * time
speed = 15km/hr
time = 1 hour
The distance = 15 * 1
= 15 km/hr
If the time is 2*1/2
the distance = 15 / 2.5
= 6 km
Expressed as a fraction we have the following
0.37 = 37/100
0.086 = 86/1000
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Seema had 150 marbles.rani had 20 marbles more than seema.alok had 50 marbles lass than rani how many marbles did rani have
Answer:
120
Step-by-step explanation:
seema 150 marbles
rani 20 more marbles
alok 50 less marble
150+20=170_rani
170-50=120_alok
find the prime factorization of 11250
Answer:
2 x 3 x 3 x 5 x 5 x 5 x 5
Step-by-step explanation:
see picture
its really confusing
Answer:
Step-by-step explanation:
6:1 i think
What is the slope of the line that passes through the points (1, 1) and (4, 4)?
Write your answer in simplest form.
Answer:
The answer is 1
Step-by-step explanation:
Formula for finding the slope: [tex]\frac{y2-y1}{x2-x1}[/tex]
Take y2 and y1 from (4,4) (1,1)
Take x2 and x1 from (4,4) (1,1)
[tex]\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1[/tex]
This is how the answer is 1
Hope it helps :)
Simplify 0.4(5a-3.2b+7)
Step-by-step explanation:
2a -1.28b +2.8 for simplification.
The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units.
A. True
B.False
Explanation:
The area of the circle with radius 10 is...
A = pi*r^2
A = pi*10^2
A = 100pi
The surface area of the sphere with radius 5 is...
SA = 4pi*r^2
SA = 4pi*5^2
SA = 100pi
Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.
It’s the start of a new football season and my favorite team, the WACO Hawks, is looking good! They won their first
game by beating Dublin Irish 28-27 on a last second play.
In the course of the game they piled up a lot of running yards, divided among four players:
• The bruising fullback, Vernon Variable, accounted for a chuck of those yards.
• The star halfback, Reggie Root, ran for 15 less than three times as many yards as Vernon did.
• The speedy wide-out, Larry Linear, only ran once but he picked up 11 more yards than Vernon’s total on that
play, a fancy reverse that went for a touchdown.
• The crafty quarterback, Quentin Quadratic, ran for a total of 18 yards on a variety of scrambles.
If the WACO Hawks ran for 229 yards, how many yards did each of the four players gain? Remember to define a
variable, write an equation, and explain your work (focusing on the why you did what you did)
Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.
How to solve Linear Equations Word Problems?We are told that the total number of yards the WACO Hawks ran is 229. Thus, we can say that: W = 229
Now, we know that Vernon Variable gained many yards. Thus, the amount of yards will be indicated by "V"
Now, Reggie Root ran for 15 less than three times as many yards as Vernon did. Thus, distance Reggie root ran is represented by;
R = 3V-15
Larry Linear picked up 11 more yards than Vernon’s total. Thus, total yards by Larry Linear is: L = V + 11
Quentin Quadratic ran a total of 18 yards. Thus; Q=18.
Now, all of the player's totals add up make what the total team ran. Thus, the expression is;
V + 3V - 15 + V + 11 + 18 = 229
Simplifying this gives;
5V + 14 = 229
5V + 14 = 229
Subtract 14 from both sides to get;
5V = 215
Divide both sides by 5 to get;
V = 43
Thus, Vernon ran a total of 43 yards.
Total run by Reggie is:
R = 3(43) -15
R = 129 - 15
R = 114 yards.
Total run by Larry:
L = V + 11
L = 43 + 11
L = 54 yards.
Thus, we conclude that Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.
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Erin’s car uses 6 gallons of gas for every 138 miles she drives. Which equation could be used to find how many gallons,g, Erin needs to drive 92 miles
Answer:
g = 6 / 3 x 2
Step-by-step explanation:
g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92
Thus, Erin required 4 gallons of gas to drive 92 miles.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Let the gallon used by Erin bey and distance traveled be x
Now fuel consumed by Erin is directly proportional to the distance traveled i.e.
y ∝ x
y = ax - - - - - - (1)
where is the constant
Now put y = 6 and x = 138
6 = a * 138
a = 6/138
a = 0.043
Now put a in equation 1
y = 0.043x
The above expression is a required expression that implies how mush gallons of gas Erin used to travel a certain distance.
Erin needs to drive 92 miles,
Put x = 92 in above expression
y = 0.043 * 92
y = 4 gallon
Thus, Erin required 4 gallons of gas to drive 92 miles.
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math help please right now!!!!
Answer:
The second answer is correct.
Step-by-step explanation:
Let the domain of discourse s be people. let a be statisticians and let b be people who bathe regularly. in set notation, what is the sentence all statisticians bathe regularly.
If set A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.
Given that A shows the statistians and B shows the person who bath regularly.
We are required to show the sentence that "All statistians bath regularly"in set notation.
We know that set is a collection of things, place,anything which can be measured or denoted as something else.
"∪" shows union means when we put this sign between two sets then the resulting set will contain all the elements of both the sets.
"∩" shows intersection means when we put this sign between two sets then the resulting set will contain all the common elements of both the sets.
Since A represents statistians and B represents people who bath regularly and we require statistians who bath regularly is A∩B.
Hence if A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.
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Find the midpoint of the line segment
with endpoints (-4, 16) and (6, -10).
Answer:
B. (1,3)Step-by-step explanation:
What is a midpoint?Midpoint a point equidistant from the ends of a line or the extremities of a figure.
To find the midpoint of the line segment with endpoint, use the midpoint formula.
Midpoint formula:
[tex]\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}[/tex]
y2=(-10)
y1=16
x2=6
x1=(-4)
Rewrite the problem down.
[tex]\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}[/tex]
Solve.
6-4=2
2/2=1
-10+16=6
6/2=3
= (1,3)
Therefore, the correct answer is B (1,3).
I hope this helps, let me know if you have any questions.
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Before winning the lottery, Mauro's annual income was $34,500. Use the chart to determine Mauro's federal tax
before winning the lottery and after winning the lottery.
How much extra does he have to pay in federal taxes because he won the lottery?
a. $5,048.75
b. $336,100.50
c. $341,149.25
d. $676,260.76
The extra amount that Mauro has to pay in federal taxes because he won the lottery would grossly amount to $336100.50. Option B
What is a tax?The term tax refers to money that the citizens of a country are mandatorily required to pay to the government from their income. This money is used for the provision of basic amenities for the people of the country.
We are able to understand from all the information provided in the question that that the extra amount that Mauro has to pay in federal taxes because he won the lottery would grossly amount to $336100.50.
Tax paid before lottery is;:
= $4386.25 + [($34500 - $31850) × 0.25]
= $4386.25 + ($2650 × 0.25)
= $4386.25 + $662.50
= $5048.75
Tax paid after lottery is:
= [($1000000 + $34500 - $349700) × 0.35)] + $101469.25
= $239680 + $101469.25
= $341149.25
Tax difference is:
= $341149.25 - $5048.75
= $336100.50
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Missing parts;
Mauro just won $1,000,000 from the lottery! despite his excitement in winning a tremendous amount of money, his brother (who is an accountant) warns him not to spend it all at once and hands him this tax rate schedule for single taxpayers. taxable income federal tax $0-$7,825 10% of amount $7825.01-$31,850 $725.50 plus 15% of amount over 7,825 $31,850.01-$77,100 $4,386.25 plus 25% of amount over 31,850 $77,100.01-$160,850 $15,698.75 plus 28% of amount over 77,100 $160,850.01-$349,700 $39,148.75 plus 33% of the amount over 160,850 $349,700.01 and up $101,469.25 plus 35% of amount over 349,700 using this chart, a taxpayer who makes $58,000 annually (line 3) will have to pay $4,386.25 plus 25% of the differene of 58,000 and 31,850 or 4,386.25 + (0.25)(58,000-31,850) = $10,923.75. before winning the lottery, mauro's annual income was $34,500. use the chart to determine mauro's federal tax before winning the lottery and after winning the lottery. how much extra does he have to pay in federal taxes because he won the lottery?
a. $5,048.75
b. $336,100.50
c. $341,149.25
d. $676,260.76
The question is down below. Which option i correct?
Answer:
Step-by-step explanation:
overall the answer is wrong i say it is the first one
Answer:
The first one is theost plausible because root 16 is 4, 30 + 4 is 34, the actual answer is 25.38
How much money do I need now if I am going to recieve $5000 every 6 months (starting in 6 months) for 10 years if the interest rates are 4%/a compounded semi-annually?
By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.
How many money should be deposited in the beginning to receive a certain amount periodically
In this problem we must apply the compound interest model, which represent a periodic accumulation of interest according to the following formula:
C' = C · (1 + r/100)ˣ (1)
Where:
C - Initial depositr - Interest rateC' - Resulting moneyx - Period indexIf we know that x = 1, r = 4, C = x and C' = x + 5 000, then the initial deposit is:
x + 5 000 = x · (1 + 4/100)
x + 5 000 = 1.04 · x
0.04 · x = 5 000
x = 125 000
By using the compound interest model, the initial deposit required to receive $ 5 000 every 6 months is $ 125 000.
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If it costs susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours, how much will it cost for her to rent a truck for her entire 8-hour work day? a. $150 b. $200 c. $225 d. $250
Answer: $200 (choice B)
Explanation:
Notice that 100/4 = 25 which matches with the fact the cost is $25 per hour.
Therefore, 8 hours will yield a total cost of 8*25 = 200 dollars
The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.
Given that, if it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Cost of rent of truck for 8 hours = 1 hour rent × Number of hours
= 25 × 8
= $200
The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.
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The simple interest on certain principal is 1/2 of the amount in 5years. find the rate of interest
Answer:
10
Step-by-step explanation:
