The expected value of the winnings from the game is $4
How to determine the expected value?The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
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find the average rate of change
Answer:
3rd option
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3³ + 2 = 27 + 2 = 29
f(a) = f(1) = [tex]3^{0}[/tex] + 2 = 1 + 2 = 3 , then
average rate of change = [tex]\frac{29-3}{4-1}[/tex] = [tex]\frac{26}{3}[/tex]
We have two fractions, 1/6 3/8 and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator? Choose 2 answers:
Answer:
See below
Step-by-step explanation:
The denominator has to be divisible by 6 and 8
you could choose 24 48 72 96 etc
There are 10 marbles in a bag. are red and the others are blue. 5 What is the ratio of red marbles to blue marbles? Question 11 * 1 There are 10 marbles in a bag . are red and the others are blue . 5 What is the ratio of red marbles to blue marbles ?
Answer:
%50 1÷2
if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A: Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Given equation;
Y=13/4x
Where,
y represents the number of miles
x is the time period
The equation shows Peter walks at a rate of 13/4 miles per hour.
Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.
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find the value of x
a) 5
b) 35
c) 3
d) 7
Answer:
x=3
Step-by-step explanation:
due to its same angle of the graphic. it has to be +6 as well
23-29-35
35=11.×+2
35-2=33
33=11.×
x=3
Helpppp I stuck so please help
Me
Answer = #2 - 1/3^3
Step-by-step explanation:
A part of a line that starts at one endpoint and extends forever in one direction is a(n)
A. angle
B.point
C.line
D.ray
Answer:
[tex]\fbox {D. ray}[/tex]
Step-by-step explanation:
A part of a line that starts at one endpoint and extends forever in one direction is a ray.
Answer: D. Ray
Step-by-step explanation:
Let's do the process of elimination.
It's not A because there is only one line.
It is not B because a point is only a dot.
It is not C because a line extends forever from BOTH ends.
The correct answer is D because a ray starts on one endpoint and extends forever in one direction.
I hope this helps!! Pls mark brainliest!! :)
Jane and David had identical chocolate bars.
David ate 78 of his chocolate bar.
Jane ate more of her chocolate bar than David.
What fraction of her chocolate bar could Jane have eaten?
Answer:
Step-by-step explanation:
I'm assuming you meant "David at 78% of his chocolate bar" which means he at 78/100 of his chocolate bar. So if Jane ate more she could've eaten n/100 of her chocolate bar where [tex]78 < n \leq 100[/tex]. Greater than 78 since David at 78/100 and less than or equal to 100 since 100/100 means Jane at the entire thing at 101/100 wouldn't make any sense.
The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What is the length of the longest side of the rectangle?
Answer: 9 cm
Step-by-step explanation:
The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]
Where
l is the length
w is the width
and P is the perimeter (34)
Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1
Sub in the known values and solve
Step 1: Simplify both sides of the equation with the Distributive Property
[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]
Step 2: Subtract 2 from both sides.
[tex]4w+2-2=34-2\\4w=32[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]
Step 4: Add 1 to w to find the length of the longer side
[tex]w+1\\8+1\\9[/tex]
Mr. Browner has 7 keys. He has 1 key
for his home, 2 keys for his car, and
the rest are for drawers in his office.
If Mr.
Browner picks one of his keys
without looking, what is the probability
it is for his car?
Options: 1/7, 2/7, 3/7, 5/7, 6/7
Answer:
2/7
Step-by-step explanation:
there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.
[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
You can choose Options: 2/7
[tex]__________________________________[/tex]
[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]
[tex]{\qquad\qquad\qquad}[/tex]
Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.
[tex]__________________________________[/tex]
Hope it helps Correct me if I'm wrong[tex]__________________________________[/tex]
[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]
When the sum of a list of integers is divided by the mean of the integers, the result is x. What does x represent?
Answer:
it is the number of intigers in the list
Based on the concept of integer and the options available, x does represent the number of 2 integers in the list.
What is Integers?An integer is a mathematical term that is known as the number zero, a positive natural number, or a negative integer with a minus sign.
Generally, Integers the negative numbers are the additive inverses of the corresponding positive numbers.
In this case, it has been mathematically proven that when the sum of a list of integers is divided by the mean of the integers the result x represents the total number of integers in the list.
Hence, in this case, it is concluded that the correct answer is option H. The numbers if integers in the list.
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Harry used 0.75 liters of gasoline on the first day of his trip, 1.5
liters on the second, 2.25 liters on the third, and 3 liters on the
fourth. Write a function to describe the sequence, and then use
the function to predict the amount of gasoline used on the
eighth day of his trip.
Oy=0.5n; 4 L
O y = 0.75n; 6 L
Oy=n; 8L
Oy=1.5m; 12 L
The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L respectively. Option B is correct.
What is an arithmetic sequence's sum of terms?Each consecutive term in an arithmetic sequence has a common constant difference.
The sequence of the liters of gasoline on each day is;
0.75,1.5,2.25,3
The given series is an arithmetic series with a common difference of 0.75
Common difference,d=0.75
First-term,a=0.75
The amount of gasoline used on the eighth day of his trip.
The nth term of the arithmetic sequence is;
[tex]\rm a_n = a+(n-1)d \\\\ \rm a_8 = 0.75+(8-1)0.75 \\\\ a_8 = 6[/tex]
The 8th term of the arithmetic sequence is 6L.
The function is to describe the sequence and the amount of gasoline used on the eighth day of his trip will be y = 0.75n and 6 L.
Hence, option B is correct.
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What is the answer?????
Answer:
36.7075 Hz is the answer
12 identically sized pieces of timber are
x
cm long when put together. How long is each individual piece?
Answer:
[tex]\frac{x}{12}[/tex] (x/12)
Step-by-step explanation:
if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]
(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)
Answer:
Timber=x/12
Step-by-step explanation:
12 pieces long is x, if the length of each one is same, so the length of each one is x/12.
COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,÷) IN THE BOXES GIVEN:
REMEMBER TO USE (DMAS)
Answer:
) +, -
e) x, ÷
g) ÷
Step-by-step explanation:
Solve using substitution method:
X= y/3 +2
7x − 5y = 10
Solve for (x,y)
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 5/2 [/tex]
[tex] \qquad \tt \rightarrow \: y = 3/2[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2 \: \: \: \: \: \: \: \: - (1)[/tex]
[tex]\qquad \tt \rightarrow \: 7x -5 y = 10 \: \: - (2)[/tex]
[tex] \textsf{put value of x in equation 2} [/tex]
[tex]\qquad \tt \rightarrow \: 7 \bigg( \cfrac{y}{3} + 2 \bigg) - 5y = 10 [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{7y}{3} + 14 - 5y = 10 [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{7y}{3} - 5y = 10 - 14[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{7y - 15y}{3} = - 4[/tex]
[tex]\qquad \tt \rightarrow \: - 8y = - 4(3)[/tex]
[tex]\qquad \tt \rightarrow \: y = \cfrac{ - 12}{ - 8} [/tex]
[tex]\qquad \tt \rightarrow \: y = \cfrac{ 3}{ 2} [/tex]
[tex] \textsf{put value of y in equation 1 } [/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{y}{3} + 2[/tex]
[tex]\qquad \tt \rightarrow \: x = \bigg (\cfrac{3}{2} \sdot\cfrac{1}{3} \bigg) + 2[/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{1}{2} + 2[/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{1 + 4}{2} [/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{5}{2} [/tex]
What is the difference between normal definition of set and contors definition of set
Step-by-step explanation:
The collection of well defined object is called set
1/5 divided by 4 equals to what
Answer:
1/5 divided by 4 equals to 0.05
evaluate the following expression when x=-4 and y=4
x³-x /4y[tex]\frac{x}{y}[/tex]
Answer: - 60
Step-by-step explanation:
[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]
6 less than a number is less than the quotient of the number and 3.
Answer:
x<9
Step-by-step explanation:
x-6<x/3
3(x-6)<x
3x-18<x
3x-x<18
2x<18
X<18/2
X<9
Question 29 of 40
Find f(-2) for f(x) = 5.3*.
Answer:
A. [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.
f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.
f(-2)=5*0.1=0.5 Forever 5's.
f(-2)=0.5 or [tex]\frac{5}{9}[/tex]
Hope this helps!
If not, I am sorry.
Evaluate the expression for the given values of the variables:
2a³-7b²+ 3c - (d + e) a = 3, b = 2, c = 4, d = 11, and e = 7
Answer:
yes
Step-by-step explanation:
it's hard but you'll figure it out so don't worry
A green gold bracelet weighs 56g. The bracelet is made from 75% gold, 20% silver and 5% copper.
(a) What is the mass of the gold in the bracelet?
(b) What is the mass of the copper in the bracelet?
Answer:
a. 42 g
b. 2.8 g
Step-by-step explanation:
a. Since the entire thing weighs 56g and gold is 75% of the mass you simply find 75% of the mass. This is done by converting the 75% into decimal form by dividing it by 100 to get 0.75 and then multiply it by the 56 g to get (0.75 * 56 g) = 42 g
b. same thing here as the previous answer. 5%/100 = 0.05. (0.05 * 56 g) = 2.8 g
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
The graph is increasing for x > -5
what is the sum of first 6 terms
Answer:
182
Step-by-step explanation:
Sum = a(r^n -1) ÷ r - 1
1(-3^6 - 1) ÷ -3 -1
= 182
r = t2 ÷ t1 * since they stated that it is geometric
please help me please
Answer:
b I think.
Step-by-step explanation:
sorry if im wrong
Solve the inequality and express your answer in interval notation.
The correct answer is option B which is (-4-√11) and (-4+√11).
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).
(-4 - √11) = -4 -3.31 =-7.31
(-4 + √11) = -4 +3.31 = -0.68
Therefore the correct answer is option B which is (-4-√11) and (-4+√11).
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what is the value of k such that 5x-2y=9 and 6x+ky=4 are perpendicular?
15
5x-2y=9......(1)
6x+ky=4......(2)
slope of eqn i= -5/-2
=5/2
slope of eqn ii = -6/k
since the line are perpendicular
5/2 * -6/k = -1
-30= -2k
k=15
how many feet? help me please
Answer:
[tex]\fbox {400.41 feet}[/tex]
Step-by-step explanation:
Here we need to take the tan ratio of the angle.
⇒ tan 4° = 28/x = 0.0699268119
⇒ x = 28/0.0699268119
⇒ x = 400.41 feet
{x + 8y = -16
{x-3y = -5
Answer: y= -1 and x=-8
x+8y=-16
x=-8y-16
so x-3y=-5
-8-16-3y=-5
-11y-16=-5
-11y=-5+16
-11y=11
y=-1
x-3y=-5
x+3=-5
x=-8
