You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25
The expected value of the game is $8.75.
----------------------
The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.
32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.
The expected value is:
[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]
[tex]E = \frac{100 + 150 + 30}{32}[/tex]
[tex]E = \frac{280}{32}[/tex]
[tex]E = 8.75[/tex]
The expected value of this game is of $8.75.
A similar problem is given at https://brainly.com/question/24961584
Please someone draw where these are supposed to go on paper (WILL MARK BRAINLEST)
Answer:
youre not pretty jjdbfjjfkdksjsjd
im not completely sure how to use slope (7th grade)
Answer:
-3/2
Step-by-step explanation:
choose an x variable with it's corresponding y variable from the table.
for example -4, 19
then choose another one,
for example 0, 13
-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)
the second pair,
0 will be x2 and 13 will be y2 (0=x2) (13=y2)
then you need to subtract y1 from y2: 13 - 19 = (-6)
then you need to subtract x1 from x2: 0 - (-4) = 4
now you have y = (-6)
and x = 4
and since rise over run, aka y = rise, x = run, you put y over x. (divide)
y/x -6/4 simplify = -3/2
Please answer #11,#15,and #16.For #11, determine if the graph represents a function.For #15-16 find the domain and range of the function represented by the graph.
Problem 11
Answer: Not a function
Why not? Because it fails the vertical line test. It is possible to draw a single straight vertical line through more than one point on this blue curve.
Put another way: An input like x = 2 produces more than one output (y = 2 and y = 4 at the same time). If we wanted a function, we need any given input in the domain to produce exactly one and only one output.
=============================================================
Problem 15
Answers:
Domain: [tex]-4 \le x \le 2[/tex]Range: [tex]2 \le y \le 6[/tex]Explanation:
The domain is the set of allowed x values. The left-most point on the blue curve is when x = -4, which is the smallest item allowed in the domain. The largest value allowed is x = 2, as this occurs at the right-most point on the blue curve. Therefore, our domain here is [tex]-4 \le x \le 2[/tex]
The range is similar, but we focus on y values this time. The lowest the graph goes is y = 2, and the highest it goes is y = 6. So [tex]2 \le y \le 6[/tex] represents the range of possible y outputs.
For both the domain and range, both endpoints are included.
=============================================================
Problem 16
Answers:
Domain: [tex]2 < x < 7[/tex]Range: [tex]1 < y < 6[/tex]Explanation:
We follow the same idea as before. This time however, we have open holes which means that we do not include the endpoints.
The domain is [tex]2 < x < 7[/tex] since the curve spans from x = 2 to x = 7, excluding both of those x values. The range is [tex]1 < y < 6[/tex] for similar reasoning.
Notice how both problems 15 and 16 are functions because they pass the vertical line test. It is not possible to draw a single vertical line through more than one point on either blue curve.
The sum of twice a number and seven less than four times a number is fifteen
Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution
Need ASAP
Answer:
Yes
Step-by-step explanation:
( x, y ) = ( 3, - 10 )
Here,
x = 3
y = - 10
y = - 4x + 2
- 10 = - 4 ( 3 ) + 2
- 10 = - 12 + 2
- 10 = - 10
LHS = RHS
Therefore,
( 3, - 10 ) a solution to the function y = - 4x + 2.
Someone please help
Answer:
Step-by-step explanation:
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what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3
Step-by-step explanation:
this is the answer
please follow me and mark me as a brainlist
please helpppppppppppppppppppp
Answer:
I got c
Step-by-step explanation:
18 minus plus 5 plus 7 is -30 so it dont represent zero
Answer:
C
Step-by-step explanation:
Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money
Answer:
10 headbands = $12.50
Step-by-step explanation:
1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.
2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.
3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.
1.
To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.
Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:
S = 1.25 * x
Now, we can use this function to fill in the table:
Number of Headbands Sold (x) | Commission (S)
0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)
1 | 1 * 1.25 = $1.25
2 | 2 * 1.25 = $2.50
3 | 3 * 1.25 = $3.75
7 | 7 * 1.25 = $8.75
15 | 15 * 1.25 = $18.75
32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)
2.
To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.
Given (x, S) = (5, 6.5)
Using the function rule: S = 1.25 * x
S = 1.25 * 5 = 6.25
The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.
3.
To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.
For example, let's choose x = 10:
Using the function rule: S = 1.25 * 10 = $12.50
So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.
Learn more about Function Rule from the link given below.
https://brainly.com/question/10705186
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The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
w = width
3w = three times the width
3w-7=7 feet less than three times the width
l = length = 3w-7
A=length × width (lw)
66 = (3w-7) × (w)
66 = 3w^2 - 7w
3w^2 - 7w -66 =0
factor
3 = 3 × 1 and 66 = 6 × 11,
6 × 3 = 18, 11 × 1 = 11, 18 - 11 = 7
(3w )(w )=0 so far
(3w )(w 6)=0 so far
(3w 11)(w 6)=0 so far
(3w+11)(w-6)=0
w-6=0
w=6
3w=3*6=18
3w-7=3*6-7=18-7=11
w=6 feet
l=11 feet
K to the power of negative 2 multiplied by 2
Answer:
2k-²
Step-by-step explanation:
i hope this is the answer ur looking for !
Find the product of the sum of 52 and 18 and the difference of 86 and 41.
Answer:
2450
Step-by-step explanation:
52+18=70
86-41=45
70×45=2450
The product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the sum of 52 and 18 and the difference of 86 and 41.
We can write the expression as -
{x} = (52 + 18) x (86 - 41)
{x} = 70 x 45
{x} = 3150
Therefore, the product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
To solve more questions on expressions, visit the link below -
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you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
ILL GIVE BRANLIEST!! HELP NOW!!!
Garnet has a container with 4 1/3 cups of flour in it. She can make one dozen muffins with cups of flour. How many dozens of muffins can Garnet make with the flour she has?
A. 10 1/9
B. 1 6/7
C. 1 1/3
D. 2
She can make one dozen of muffins with 2cups of flour..
She can make muffins=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\div 2[/tex]
[tex]\\ \sf\longmapsto 2\dfrac{1}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{3}[/tex]
But Now total dozens=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{13}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{91}{9}[/tex]
[tex]\\ \sf\longmapsto 10\dfrac{1}{9}[/tex]
7x^2-4+6x^3-4x-x^4 in standard form?
Answer:
-x^4 + 6x^3 + 7x^2 -4x -4
Step-by-step explanation:
Sheryl spends $ 12 every week on cigarettes and spends $ 23 a month on dry cleaning. On an annual basis, the money spent on cigarettes compared to the money spent on dry cleaning.
Answer:
just for the points
Step-by-step explanation:
Polynomials
Multiply 5x(x2 - 4x+2)
Answer:
[tex]5x^3-20x^2+10x[/tex]
Answer:
-10x(x-1)
Step-by-step explanation:
5x(2x-4x+2)
10x^2-20x^2+10x
-10x^2+10x
-10x(x-1)
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6 inches
Step-by-step explanation:
Because in one mile theres 3 inches
3x2=6
NO LINKS OR ASSESSMENT!!
Write a rule to describe each transformation #9 & #11
Answer:
Step-by-step explanation:
Remark
I really don't know what to write to these questions. I can never tell what the problem is. Perhaps it is right at the very beginning. You have to recognize what is taking place. In problem 9, the easiest point to follow is H going to H'. Do you see what is happening? H is sitting on the x axis and then something happens to it and behold, it is now sitting on the y axis. So it has rotated 90 degrees but which way?
Take your finger or a pencil and put it on H. Then make a circular motion to get to H'. You are going clockwise. (keep going in that direction till you wind up where you started. You are going in the direction of one of those old fashioned clocks. Now the trick in a rotation is if you can figure out what one point is doing, you know what all points are doing on the given figure.
So the translation is 90 degrees clockwise. That means the following rule must be operating
(x,y) ===> (y, - x)
H(-3,0) ===> H'(0, - - 3) = H'(0,3)
I(-2,1) =====>I'(1, - - 2) = H'(1,2)
J(0,1) =====>J'(1,0)
G(-3,-3)====>G'(-3, --3) = G'(-3,3)
11
At first you may think that this is a translation of some kind. I thought so at first. D and D' certainly look that way and C and C' also look that way. But B and E are not well behaved. You are looking at a 180 degree rotation
The rule you need here is (x,y) becomes (-x , - y)
I'll leave C and D to you and do one of the B and E
E(3,5)=E'(-3 , - 5)
9514 1404 393
Answer:
9) (x, y) ⇒ (y, -x) . . . . rotation 90° CW
11) (x, y) ⇒ (-x, -y) . . . rotation 180°
Step-by-step explanation:
9) Distance from the origin to an image point is the same as to the preimage point, but the direction is changed by 90° in the CW direction. For example, J is north of the origin, but J' is east, a direction change of 90° CW.
The transformation describing a 90° CW rotation is the rule ...
(x, y) ⇒ (y, -x)
__
11) Distance and direction to each image point from the origin are equal and opposite of distance and direction to the preimage point. The figure has been rotated 180°. The corresponding rule is ...
(x, y) ⇒ (-x, -y)
Which of the following best shows the commutative property of multiplication?
4 x 3 = 3 x 4
4 x 3 = 4
4 x 3 = 4 ÷ 1/3
4 x 3 = (2 x 2) x 3
Answer:
[tex]4*3=3*4[/tex]
Step-by-step explanation:
The commutative property of multiplication states that [tex]a*b=b*a[/tex].
In the first equation, we have that [tex]4*3=3*4[/tex], which is a clear application of the commutative property.
So, the answer is [tex]4*3=3*4[/tex] and we're done!
Answer:
it's the first one cause the commutative property is multiplying in any order without changing the product.... I think?
|3x−8|>−1. Write your solution in interval notation.
Answer:
(− ∞ , 1 /3 ) ∪ ( 5 , ∞ )
Step-by-step explanation:
—3x —4 < 2 what is the answer to this
Answer:
What exactly does the < stand for in your problem?
Step-by-step explanation:
What I got was
-3 x -4 = 12
so it's 12 < 2
Answer:
X>-2
Step-by-step explanation:
im not sure what you want us to do so I solved for the inequality
The equation of the graphed line is x+2y=5. What is the x-intercept of the graph? A coordinate plane with a line passing through (negative 5, 5) and (5, 0).
Answer choices
A) 2
B) 2.5
C) 5
D) 5.5
Answer:
the answer is... a
Step-by-step explanation:
If 8 pizzas cost $72,how much will 15 pizzas cost
Answer: $135
Explanation: To find how much 15 pizzas will cost, first we have to find out how much just one pizza will cost. To do this, you have to divide both the number of pizzas (8) and also the price for those 8 pizzas ($72) by the number of pizzas (8 again). When you do this you get the price of one pizza. Then you multiply the price of one pizza by the amount of pizzas you actually need to find the value for (15). This is a lot to explain but don't lose hope! Let me show you step by step and it'll make more sense.
Step 1) Divide both the amount of pizzas and the cost of that many pizzas
8 ÷ 8 = 1
72 ÷ 8 = 9
This means that one pizza costs 9 dollars.
Step 2) Multiply the cost of one pizza by 15 (the amt of pizzas you need to find the cost for)
15 × 9 = 135
135 is the cost for 15 pizzas. I hope this helps you!
Solve -9 2/7 - (-10 3/7).
A. - 1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answer:
1 5/7
Step-by-step explanation:
-9 2/7 -(-10 3/7) recall -×- = +
-9 2/7 +10 3/7
1 2+3/7
1 5/7
Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mode of the number of trials needed for q successes is given by:
[tex]M = \frac{q}{p}}[/tex]
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
With [tex]n = 3[/tex].
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
[tex]0.432(0.4) = 0.1728[/tex]
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
[tex]M = \frac{3}{0.4}} = 7.5[/tex]
The mode is of 7.5 hurricanes.
A similar problem is given at https://brainly.com/question/24923631
Please lmk if it is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, the above statement is True.
Answer:true
Step-by-step explanation:
Find the value of g for which MATH is a parallelogram.
A. 5
B. 6
C. 7
D. 10
Answer:
the answer is b.6
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