Answer:
A) The probability that each player gets an ace, a 2 and a 3 with the order unimportant = (72/1925) = 0.0374
B) The probability of winning the jackpot = (1/1200) = 0.0008333
Step-by-step explanation:
A) There are four Aces, four 2's, and four 3's, forming a set of 12 cards
These cards are to be divided at random between 4 players.
What is the probability that each player gets an ace, a 2 and a 3.
We start with the first player, the probability of these cards for the first player, with order not important (because order isn't important, there are 6 different arrangement of the 3 cards)
6 × (4/12) × (4/11) × (4/10) = (16/55)
Then the second player getting that same order of cards
6 × (3/9) × (3/8) × (3/7) = (9/28)
Third player
6 × (2/6) × (2/5) × (2/4) = (2/5)
Fourth player
6 × (1/3) × (1/2) × (1/1) = 1
Probability that each of the players get different cards is then a multiple of the probabilities obtained above
= (16/55) × (9/28) × (2/5) × 1
= (288/7700) = (72/1925) = 0.0374
B) The concluding part of the B question.
To win the jackpot, the numbers on your ticket must match the three white balls and the SuperBall. (You don't need to match the white balls in order). If you buy a ticket, what is your probability of winning the jackpot?
Probability of wimning the jackpot is a product the probability of getting the 3 white balls correctly (order unimportant) and the probability of picking the right red superball
Probability of picking 3 white balls from 10
First slot, any of the 3 lucky numbers can fill this slot, (3/10)
Second slot, only 2 remaining lucky numbers can fill this slot, (2/9)
Third slot, only 1 remaining lucky number can fill this slot, (1/8)
(3/10) × (2/9) × (1/8) = (1/120)
Probability of picking the right red superball
(1/10)
Probability of winning the jackpot = (1/120) × (1/10) = (1/120) × (1/10) = (1/1200) = 0.0008333
Hope this Helps!!!
Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at − 17.3 meters, and the highest point is at 14.1, point, 1 meters. What does 0 meters represent?
Answer:
Step-by-step explanation:
Sea Level
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)
The graph of f(x) = x2 is shifted 3 units to the left to obtain the graph of g(x). Which of the following equations best describes g(x)?
g(x) = (x + 3)2
g(x) = x2 − 3
g(x) = x2 + 3
g(x) = (x − 3)2
Answer:
[tex]g(x)=(x+3)^2[/tex] best describes g(x)
Step-by-step explanation:
We are given an equation of graph[tex]f(x)=x^2[/tex]
Rule : When the graph f(x) shifts left by c units . So, resultant graph is f(x+c)
Now we are given that The graph of [tex]f(x) = x^2[/tex] is shifted 3 units to the left to obtain the graph of g(x).
So, By using rule :
[tex]f(x+3)=(x+3)^2[/tex]
So, [tex]g(x)=(x+3)^2[/tex]
So, Option A is true
Hence [tex]g(x)=(x+3)^2[/tex] best describes g(x)
Evaluate f(a) = 6a2 - 38a + 4 for a = 6.
Answer:
Just plug in 6 for a.
6 * 6² - 38 * 6 + 4 = -8.
the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator
Answer:
11
Step-by-step explanation:
Given Fraction
Let the denominator = x
The numerator is 2x + 1
2x + 1
=====
x
The new fraction
2x + 1 + 4
=========
x + 4
Equation
2x + 5 5
====== = ====
x + 4 3
Solution
Cross Multiply
3(2x + 5) = 5(x + 4)
Remove the brackets
6x + 15 = 5x + 20
Subtract 5x from both sides
6x - 5x + 15 = 20
Subtract 15 from both sides
x = 20 - 15
x = 5
============
Answer
2(5) + 1 = 11
The original numerator is 11
12. Building codes regulate the steepness of stairs. Homes must have steps that are at least 13 inches wide for each 8 inches
that they rise.
a. Discuss how to find the slope of the stairs.
b. Describe how changing the width or height affects the steepness of the stairs.
Answer:
Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:
a. So in your case, starting from the bottom, the slope is:
If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)
So the coordinates of the two points would be:
(0,0) and (13, 8)
Using the formula we would have:
b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.
However, if you proportionally increase the width and the height, then the slope will remain the same.
Step-by-step explanation:
A digital scale measures weight to the nearest 0.2 pound. Which
measurement shows an appropriate level of precision for the scale?
A.130.4 pounds
B.124.75 pounds
C.125 pounds
D.120 pounds
Answer:
A
Step-by-step explanation:
This option contains a number that would appear on this scale.
Answer:130.4
Step-by-step explanation:
have good day
Directions write 1/3 -3 (-3 is the exponet) without the exponet
Answer:
27
Step-by-step explanation:
I guess this would just be basically the same as 1/3 to the power of 3
Answer:
27
Step-by-step explanation:
Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3
Answer:7/4 and 3
Step-by-step explanation:
Just took the test
Answer:
I think that the answer is D E
Isabella wants the distribution of money spent on advertising to match the distribution of profit gained from each product. If
Isabella has a budget of $22.5 million, how much should she allocate for ads for peripherals, to the nearest hundred thousand
dollars?
a. $9.7 million
b. $7.3 million
c. $4.1 million
d. $2.2 million
The company's profit in the year 2003 is $3.1 million
What is profit?Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.
Given that,
in the year 2000 profit = $2.2 million
Each year increase in profit = 13% =0.13
Total number of year = 2003-2000=3 years
Profit is denoted by
profit = initial profit ( 1 + each year increase)^years
Substituting the values we get
profit=2.2( 1 + 0.13)³
=2.2( 1.13)³
=3.174373
=3.1 million
Therefor , the company's profit in the year 2003 is $3.1 million
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Answer: Its C
Step-by-step explanation: I got it right
Can someone help me on this? I really need help badly.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe
Answer:
60 degrees
Step-by-step explanation:
A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360
75+75+150+x =360
Combine like terms
300 +x = 360
Subtract 300 from each side
300+x-300= 360-300
x = 60
Simplify: 8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
Answer:
7p-3
Step-by-step explanation:
We are given the expression:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p
To simplify, we can combine like terms. Add all the terms with a variable, then add the terms without a variable.
(8p + 9p + 6p + 2p - 6p - 3p - 9p)+ -3
(25p -18p) -3
7p-3
Steps:
Group like terms:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p-3
Add similar elements:
8p - 3 + 9p + 6p + 2p - 6p - 3p - 9p = 7p
=7p−3
Answer: =7p−3
Please mark brainliest
Hope this helps.
A number c minus 3.4 is less than 14. Write this word sentence as an inequality.
An inequality is _____
Answer:
c-3.4<14
Step-by-step explanation:
We translate the words into an inequality. A number, C, minus 3.4 is less than 14.
c-3.4<14
Please help quickly
Answer:
41.47
Step-by-step explanation:
So to find the price after the discount, multiply 48 by 0.8
38.4
To find the amount after tax, multiply by 1.08
41.472 ≈ 41.47
Answer:
$41.47
Step-by-step explanation:
Original price: $48.00
Discount: 20%
20% of $48 = 20% * $48 = 0.20 * $48 = $9.60
Price after 20% discount = $48.00 - $9.60 = $38.40
Tax: 8%
8% of $38.40 = 0.08 * $38.40 = $3.07
Price after tax: $38.40 + $3.07 = $41.47
Answer: $41.47
ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the
missing angle
A. 67
B. 74°
C. 80
D. 870
Answer:
A
Step-by-step explanation:
The angles in a quadrilateral add up to 360 degrees.
100 + 87 + 106= 293
360 - 293 = 67
The missing angle is 67°. (A)
EVERY quadrilateral has four inside angles that add up to 360°. It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.
In this question, the first three angles add up to (100°+87°+106°) = 293°.
From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.
Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self
Answer:
idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl can see here on brainly
Wyatt uses 3.15 cups of flour in a
recipe that makes 9 shortcakes. Cora
uses 2.4 cups of flour in a recipe that
makes 8 shortcakes. How much more
flower per shortcake is needed for
Cora’s recipe?
Answer:
Step-by-step explanation:
Cora uses 0.3 cups of flower per cake. Wyatt uses 0.35 cups of flower per cake. I do not know what else you are asking for, but Cora does use 0.05 less cups of flower than Wyatt.
To find this all I did is divided flower by cakes to get flower per cake. I hope this helps!
Answer:
1/20 cups
Step-by-step explanation:
Wyatt
3.15/9=315/900=7/20Cora:
2.4/8=24/80=3/10The difference:
7/20-3/10=7/20-6/20=1/20 cupsAfter plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the appropriate model to approximate the side of a square was *square root sign*x+2-1 Use the model Sam created to predict the side length of the square when the area is 14.
3
9
16
28
Answer:
3
Step-by-step explanation:
Plugging 14 into the given model equation, you get:
[tex]\sqrt{14+2}-1= \\\\\sqrt{16}-1=\\\\4-1=\\\\3[/tex]
Hope this helps!
Answer:
The answer is 3
Step-by-step explanation:
Solve for y
-1 + y/8< 15
А. У<7/4
B. y < 2
C. y < 112
D. y<128
Answer:
D. y < 128
Step-by-step explanation:
-1 + y/8 < 15
y/8 < 15 + 1
y/8 < 16
y < 16 × 8
y < 128
Answer:
Y<128
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
1/8y-1<15
Step 2: Add 1 to both sides.
1/8y-1+1<15+1
1/8y=16
Step 3: Multiply both sides by 8.
(8)*(1/8y)<(8)*(16)
Y<128
3/4 of a number is 5/8. Find the number.
Answer:
N = 5/6
Step-by-step explanation:
of means multiply and is means equals
3/4 * N = 5/8
Multiply each side by 4/3
4/3 * 3/4 N = 5/8 *4/3
N = 20/24
Simplifying
N = 5/6
The answer is 5/6.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
How many seed pockets are there ?
John takes out a personal loan for $5,000 at an annual interest rate 7.5%, compounded monthly. He plans to pay off the loan (including interest) in 3 years.
Answer:
155.53
Step-by-step explanation:
I know where this question is from hahaha
If there are 15 girls and nine Boyz in an art class the ratio of girls to boys in the class as what
Answer:
5:3
Step-by-step explanation:
15:9 = 15/9 = 5/3 = 5:3
Answer:
I think 3:5
Step-by-step explanation:
What is the area of the figure shown in the picture?
Answer:
69.82in^2
Step-by-step explanation:
Rectangle
[tex]A=lw\\=5*12\\=60in^2[/tex]
Semicircle
[tex]A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 2.5^2\\=9.82in^2[/tex]
Add altogether
60+9.82
=[tex]69.82in^2[/tex]
A worker needs to create a 4-character password. The worker can use alphabet as well
as number(0-9) and 4 special characters. How many outcomes are possible?
Answer: 2560000
Step-by-step explanation:
Given, A worker needs to create a 4-character password.
Worker can use :
Alphabets, numbers and 4 special characters
Total alphabets = 26
Total digits = 10
So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)
= 26+10+4 = 40
Since, there is no pattern or condition is provided to choose them.
So, the total possible outcomes to create a 4-character password. = [tex](\text{Total characters})^4=40^4=2560000[/tex]
Hence, the total possible outcomes = 2560000
Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
The statement that most adequately recounts the change in the average of the team's no. of points per game would be:
A). The new mean is greater than the previous mean.
Given,
[tex]Mean = 94[/tex]
Now,
The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]
New mean = (sum of observations)/No. of observations
[tex]= 1015/10[/tex]
= [tex]101.5[/tex]
Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.
Thus, option A is the correct answer.
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-5/6+2/6=
What is the answer to this?
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2
What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5
Answer:
Option (1). h = -2
Step-by-step explanation:
This question is incomplete: here is the complete question.
The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?
From the graph attached,
Point (0, 1) lies on function f(x).
If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,
f(x + h) → g(x)
For 2 units shift to the left horizontally,
f(x + 2) → g(x)
[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]
By comparing both the sides,
x + 2 = x - h
h = -2
Therefore, Option (1) will be the answer.
Answer:
A -2
Step-by-step explanation:
