Using the expected value, it is found that the highest value you could set the price is: $5.
-----------------------------
A game is fair, that is, the player would still win, if the expected value is 0.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.For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].
The charge is x.
6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.
10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.
36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.
Since we want the expected value to be 0:
[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]
[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]
[tex]22x = 110[/tex]
[tex]x = \frac{110}{22}[/tex]
[tex]x = 5[/tex]
The highest value you could set the price is: $5.
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A piece of wire 3/7 m long as we cut into six pieces of the same length what is the length of each piece
Answer:
Each piece is 1/7 m long
Step-by-step explanation:
Wire length = 3/7 m
Pieces = 6
1 piece = 3/7 ÷ 6
= 3/7 ÷ 6/1
= 3/7 × 1/6
= 1/7 m
48 times 25 in distributive property
Answer:
1200
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST!!!!!Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
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Which of these a example
Answer:
D`
Step-by-step explanation:
The answer would be D because 40 is twice as much as 20. We also double the number of hours. So instead of having the ratio of 20:1 we have the ratio 40:2 (Miles : Hours)
lolol lfeofviponvfnfuibouigb
x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³x³+y³+z³ [tex]x³+y³+z³[/tex]
Leah's softball team has $437 to spend on equipment. They want to buy 5 gloves that cost $84 each. Leah needs to know if they have enough money to buy the gloves. What is the hidden question she has to answer first? Texas connection academy
Answer:
yes she will have enough, they will have 17 dollars left
Step-by-step explanation:
84 times 5 is 420 so she will have enough
Kari has x green apples and y red apples. Which statement explains why x + y and y + x will each find the total number of apples that Kari has?
Question 10 options:
In addition, the order of the variables matters in the expression.
In addition, the order of variables does not matter in the expression.
The first expression has a greater value than the second expression.
The expressions are not equivalent because there are two variables.
Mary cut a square piece of fabric with an area of 40 square feet. Which expression could be used to find the side length of the fabric?
Answer:
L = 6.3 or 6.4
Step-by-step explanation:
Just do the square root of 40, which is 6.3 or 6.4 (but I think 6.4 is a better answer)
The sum of twice a number and seven less than four times a number is fifteen
Solve.
2(y + 7) = 28
Answer:
Answer:
y=7
Step-by-step explanation:
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
00.8 is 10 times greater as
What is the equation of the line that passes through the point (–2, 1) and
has a slope of - 5/2
Answer:
y = -5/2x + -4 (or) y = -5/2x - 4
Step-by-step explanation:
Your slope is -5/2, so all you have to do is take the point (-2, 1) and use the slope to find a second point of (0, -4) which is coincidentally the y-intercept. Then you just plug the data into the equation y = mx+b. You do that and you get the answer of y = -5/2x+-4
Select the correct answer. The population of a community, , is modeled by this exponential function, where x represents the number of years since the population started being recorded. p(x) = 2,400(1.025)x What is the approximate population 3 years after the population started being recorded?
A. 7,380 people
B. 2,460 people
C. 2,584 people
D. 14,887 people
The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
It is given that:
The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:
p(x) = 2,400(1.025)×
Plug x = 3 years in the above function.
P(3) = 2400(1.025)³
P(3) = 2400x1.0768
P(3) = 2584.53 ≈ 2584 people
Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
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please help, there is a picture
The answer us c I took that test too
Step-by-step explanation:
C
Answer:
y= 15/x
Step-by-step explanation:
help plssss !!! I need help with this I've been struggling
Answer:
362.984 could be the answer but don't judge me I could be wrong.
Step-by-step explanation:
I'm not 100% sure.
From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.
What I did:
I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5
I then took that number and multiplied it by 0.1 and got: 2057.95
This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.
PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
Answer:
C 52x3
Step-by-step explanation:
In a recent year, 27.4% of all registered doctors were female. If there were 55,600 female registered doctors that year, what was the total number of registered doctors?
Answer:
The total number of registered doctors is 202,920 rounded.
Step-by-step explanation:
Solve for (x) in this equation: 27.4/100 = 55,600/(x)
You will get the following equation: (x)= (100*55,600) / (27.4) which equals 202,919.708 rounded to 202,920
To double check, you can see that 27.4% of the total given (202,920) equals the 55,600.
Can you solve and give me explanation how to solve
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
_____
Additional comment
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
__
If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
What is 18×10^20.
I really want to know what 10^20 is i can do the rest on my own- I need a real number, not 1e+20.
Answer:
1,800, 000, 000 ,000, 000 ,000, 000
simplified:
1.8e+21
Step-by-step explanation:
when it says 1e+20 that means there is 20 zeroes behind it:
100, 000, 000 ,000, 000 ,000, 000
Have a nice day!
A salesman earned of sale of 10,500 and his commission rate is 5%.what is the commission of the salesman?
Answer:
$525
Step-by-step explanation:
To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.
Commission rate: 5%, so 5/100 = 0.05
then, 0.05*10500 = $525
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
at a speed of 63.2 feet per second. The variable h represents the height in feet, and
represents the time in seconds.
h= –1672 + 63.2t + 4.9
The rock reaches 50 feet on its way up, and again on its way down.
How long does it take the rock to reach 50 feet on its way down? Round your answer to 1
decimal places.
3.0 seconds
13.2 seconds
0.9 seconds
54.9 seconds
Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
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Alana bought fabric to make scarves lf the fabric costs $5.50 per yard how much fabric did she buy for $26.40?
A 0.48 yards
B 2.4 yards
C 4.8 yards
D 48 yards
Answer:
C : 4.8 yards
Step-by-step explanation:
$26.40 ÷ $5.50
= 4.8
¿A qué velocidad debe circular un auto de carreras para
recorrer 50km en un cuarto de hora?
Answer:
creo que la respuesta es 3,333.33 mph
Step-by-stepStep-by-step explanation:
Which fruit stand, A or B, offers a better deal on blueberries
Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
Evaluate.
(2a−1/3)÷b/15 when a=−3/5 and b=−6.75
Enter your answer as a simplified mixed number in the box.
Answer:
[tex]3 \frac{11}{27} \\ [/tex]
Step-by-step explanation:
[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]
Answer:
Step-by-step explanation:
A 15 year mortgage at 8.5 percent for $275,000
Answer:
Monthly payment is $2,708.03
Step-by-step explanation:
PLEASE HELP QUICK!!!!!!
What is the simplified form of ^6√x ⋅ ^6√x ⋅ ^6√x ⋅ ^6√x ?
A) x^2/3
B) x^3/2
C) 4 ^6√x
C) ^6√4x
Answer: C i thinkg i could be rong but thats my answer i didnt use a claculater so not sure
Step-by-step explanation:
A case of 24 pairs of the same kind of sport shoes cost a little more than $800 explain whether $28 per pair with tax included is a good estimate of the price
1.- Write two words that mean addition
Answer:
the two words that means addition are
plus, sum and calculation..............
