Answer:
50%
Step-by-step explanation:
In rhe beginning, there were 24 + 20 = 44 students trying out in total. After a week, there are 44 - 6 - 2 = 36 students remaining. Of those 36 students, 18 of them are trying out for the basketball team. The percentage of students trying out for the basketball team would be 18/36 = 0.5 = 50%
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards replacing the first card, you win $50. Otherwise, you pay your friend $20. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.
The expected value of your bet will be the negative $16.27 that mean loses.
What is the binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value will be
E(X) = np
Suppose that you and a friend are playing cards and decide to make a bet.
If you draw two face cards, where a face card is a Jack, a Queen, or a King, in succession from a standard deck of 52 cards replacing the first card, you win $50.
Otherwise, you pay your friend $20.
Then the probability of winning will be
p = (12 / 52)(12 / 52)
p = 9 / 169
Then the probability of loosing will be
q = 1 – p
q = 1 – 9/169
q = 160 / 169
Then the expected value will be
E(x) = (9/169) x 50 + (160/169) x (-20)
E(x) = -$16.27
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The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 5 to create the graph of g(x). What function is g(x)?
Answer: [tex]g(x)=\left|\frac{x}{5} \right|[/tex]
Step-by-step explanation:
See atached image.
During a cash poker game, a professional gambler bets $6,000 on the cards in his hands. The bet has a 0.81 probability of producing a large profit of $6,500, a 0.08 probability of producing a small profit of $200, and a 0.11 probability of producing a loss of $6,000. If the gambler were to continue making bets with this probability distribution, what would his expected profit be?
The expected profit for the gambler is $4,621
How to get the expected profit?The possible outcomes are:
Winning $6,500, with a probability of 0.81Winning $200, with a probability of 0.08Lossing $6,000, with a probability of 0.11Then the expected profit is:
P = ($6,500*0.81 + $200*0.08 - $6,000*0.11) = $4,621
The expected profit for the gambler is $4,621
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If a 6–foot–long ladder leans against a building at an angle of 62 , which of the following triangles accurately represents this situation?
The triangle formed is a right triangle and the hypotenuse side is 6 ft.
How to represent right triangle?The situation forms a right angle triangle.
A right triangle has one of its angles as 90 degrees.
Therefore, the triangle is represented below
The hypotenuse side of the right triangle is 6 foot, which is the length of the ladder.
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Can somebody walk me through this?
2 y + 14 = 6 ( 4 y + 1 )
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{y = 4/11}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{2y + 14 = 6(4y + 1)}[/tex]
Find: [tex]\textsf{Solve for y}[/tex]
Solution: In order to solve for y we need to distribute the ride side of the expression, simplify, subtract 14 from both sides, subtract 24y from both sides, and divide both sides by -22.
Distribute and simplify
[tex]\textsf{2y + 14 = (6 * 4y) + (6 * 1)}[/tex][tex]\textsf{2y + 14 = 24y + 6}[/tex]Subtract 14 from both sides
[tex]\textsf{2y + 14 - 14 = 24y + 6 - 14}[/tex][tex]\textsf{2y = 24y + 6 - 14}[/tex][tex]\textsf{2y = 24y - 8}[/tex]Subtract 24y from both sides
[tex]\textsf{2y - 24y = 24y - 24y - 8}[/tex][tex]\textsf{2y - 24y = -8}[/tex][tex]\textsf{-22y = -8}[/tex]Divide both sides by -22
[tex]\textsf{-22y/-22 = -8/-22}[/tex][tex]\textsf{y = -8/-22}[/tex][tex]\textsf{y = 8/22}[/tex][tex]\textsf{y = 4/11}[/tex]Therefore, the expression simplifies down to y = 4/11.
A cubic yard of topsoil is to be spread evenly in the garden at Prove It! Math Academy. Thegarden measures 10 feet by 8 feet. How many inches deep will the topsoil be?
The topsoil will be 4.05 inches deep
Calculating depthFrom the question, we are to determine how many inches deep the topsoil will be
From the given information,
The volume of the topsoil = 1 cubic yard
Convert to cubic feet
1 cubic yard = 27 cubic feet
∴ The volume of the topsoil = 27 cubic feet
Then,
The depth of the topsoil will be = 27/(8 ×10)
Depth of topsoil = 27/80
Depth of topsoil = 0.3375 foot
Now, convert to inches
1 foot = 12 inches
∴ 0.3375 foot = 0.3375×12 inches
= 4.05 inches
Hence, the topsoil will be 4.05 inches deep
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3y−13≥−9 and 3y−13≤−1
[tex]3y \geqslant 13 - 9[/tex]
[tex]3y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{3} [/tex]
[tex]3y \leqslant 13 - 1[/tex]
[tex]3y \leqslant 12[/tex]
[tex]y \leqslant 4[/tex]
[tex] \frac{4}{3} \leqslant y \leqslant 4[/tex]
Find the future value if you invest $1200 at 5.25% compounded quarterly for two years.
In accordance with the compound interest model, the future value if you invest $ 1200 at 5.25 % compounded quarterly for two years is $ 1807.
How to determine the current capital by compound interest model
The compound interest model is based on the assumption that the initial capital obtain gains continuously in time. This model is represented by the following expression:
C' = C · (1 + r/100)ˣ (1)
Where:
C - Initial capitalC' - Current capitalr - Interest ratex - Time, in quartersPlease notice that a year consists in four quarters. If we know that C = 1200, r = 5.25 and x = 8, then the current capital is:
C' = 1200 · (1 + 5.25/100)⁸
C' = 1807
In accordance with the compound interest model, the future value if you invest $ 1200 at 5.25 % compounded quarterly for two years is $ 1807.
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(0, 9)₂
What is the equation of a line that is parallel to y = 6x + 7 and passes through (0,
Enter your equation in the box.
Answer:
y = 6x+9
Step-by-step explanation:
Equations that are parallel have the same slope
y = 6x+7 is written in slope intercept form where the slope is 6 and the y intercept is 7
The lines will have a slope of 6
The point (0,9) is the y intercept because the x value is 0
We can write the equation in slope intercept form y = mx+b
y = 6x+9
Answer:
Hello! The answer is y = 6x + 9.
Step-by-step explanation:
When lines are parallel, they will have the same slope but a different y-intercept.
The y-intercept, in this case, would be (0, 9) since the x-coordinate equals 0. This leaves us with 9 as the y-intercept.
Our slope-intercept form equation will be written as:
y = 6x + 9
Which of the following is not an example of like terms?
A. 2 and-6
B.2b and-6b
C.2b and 2
D.2b² and 6b²
Answer:
A. 2 and-6
Step-by-step explanation:
Like terms are terms that contain the same variables raised to the same powers. In other words, they have the same variables with the same exponents.
So in option A, we have the terms 2 and -6. These terms are not like terms because they do not have the same variables.
The selling price of a second hand car is originally N273.000. The dealer reduces the price
in the ratio of 11:13; what is the new selling price of the car?
(a) 273,000 (b) 231,000 (c) 200,000 (d) 50,000
Answer:
231,000
Step-by-step explanation:
In the ratio of 11:13, if you plug in 13, the corresponding value is 11.
Dividing 11 by 13 shows that if you also multiply 13 by 0.846 (Rounded) it also equals 11.
So multiplying 0.846 by the original price of 273,000, we get 231,000.
The new selling price of the car will be 231,000. Then the correct option is A.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The original selling price of a used automobile is N273,000. The price is dropped by the dealer by a ratio of 11:13.
The new selling price of the car will be given as,
Selling price = 273,000 x 11/13
Selling price = 21,000 x 11
Selling price = 231,000
Thus, the correct option is A.
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Evaluate: 216 1/2 Question 2 options: A) 9 B) 1 C) 6 D) -3
I need some help please so confused new topic
Kareem wrote the expressions shown below.
[3.2] [2.7] [2.9] [4.8]
Which pair is equivalent?
O [2.7] and [3.2]
O [2.9] and [2.7]
O [3.2] and [2.9]
O [4.8] and [3.21]
The equivalent pair of the given expression is; [4.8] and [3.21]
How to find equivalent pairs?Floor function states that the greatest integer that is less than or equal to x. It is represented by: ⌊ x ⌋.
Ceiling function states that the least integer that is greater than or equal to x. It is represented by ⌈ x ⌉.
Kareem wrote the expressions;
[3.2] [2.7] [2.9] [4.8]
By definition above;
[3.2] = 4
[2.7] = 2
[2.9] = 3
[4.8] = 4
Thus, the equivalent pair is [4.8] and [3.2]
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Select the correct answer.
Sterling Company is testing the popularity of two products in the first days following their release. The quantity sold for Product 1,
t days after its initial release, is modeled by the following function.
g(t)= 200(1.36)
The quantity sold for Product 2, t days after its initial release, is shown in the following table.
5
859
t
0
1
2 3 4
f(t) 250 320 410 524 671
Based on this information, which product had the greater average rate of increase in sales after three days?
O Product 1
Both had the same average rate of increase in sales.
This cannot be determined from the given information.
O Product 2
Submit
Answer:where are the options ???
Step-by-step explanation:
Answer:
Product 1
Step-by-step explanation:
Got it
Will mark brainiest or whatever its called
Answer:
5621 years
Step-by-step explanation:
Plug everything in first.
[tex]N=N_0e^{-kt}\\\\\implies 0.57 = e^{-0.0001t}\\\\\implies\ln \left(0.57\right)=-0.0001t\\\\t=-\frac{\ln \left(0.57\right)}{0.0001}[/tex]
Round to closest amount of years = 5621 years
prime factorization of 220
Answer:
The Prime Factorization of 220 is 22 × 51 × 111.
Step-by-step explanation:
Factors of 220 are integers that can be divided evenly into 220. It has total 12 factors of which 220 is the biggest factor and the prime factors of 220 are 2, 5, 11. There for, the Prime Factorization of 220 is 22 × 51 × 111.
9-22 Throughput costing (continuation of 9-21). The variable maufacturing costs per unit of Nascar Motors are as follows:
April May
Direct cost per unit $6,700 $6,700
Direct manufacturing labor cost per unit $1,500 $1,500
Manufacturing overhead cost per unit $1,800 $1,800
1. Prepare income statements for Nascar Motors in April and May 2017 under throughput costing.
2. Contrast the results in requirement 1 with those in requirement 1 of Exercise 9-21.
3. Give one motivation for Nascar Motors to adopt throughput costing.
The Income Statement for Nascar Motors in April and May 2017 under Throughput Costing is given as attached.
What is a throughput costing?This refers a costing technique, also known as super-variable costing, which solely takes direct materials into account when calculating product costs.
The other expenses are all classed as period costs and are all deducted from income in the time period in which they are spent.
What is the Contrast between the results in requirement 1 with those in requirement 1 of Exercise 9-21?It is to be noted that Throughput costing has the lowest operating income in April while having the greatest operating income in May.
More so than either absorption or variable costing, throughput costing emphasizes sales as the source of operational income. See the attached.
What is one motivation for Nascar Motors to adopt throughput costing?It is to be noted that production that doesn't result in a commensurate sale in the same time period is penalized under throughput costing.
When compared to variable costing, costs that are variable with regard to production but are not direct materials are expensed in the period of incurrence.
In contrast to variable costing or absorption costing, throughput costing offers less of motivation to create inventory.
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A rectangle has a perimeter of 92cm and its length is 1cm more than twice its width.
Using the definition of perimeter write an equation for P in terms of L and W
Using the relationship given in the problem statement, write an equation for L in terms of W.
Answer: Width = 15cm
L = 31cm
Step-by-step explanation:
P = 92 cm
L = 1 + 2W
P = 2L + 2W
P = 2(1+2W) + 2W
P = 2+4W+2W
P = 2 + 6W
92cm = 2 + 6W
subtract 2 on both sides to cancel the 2 on the right side.
90cm = 6W
W = 90/6
Width = 15cm
L = 1+2W
L = 1 + 30cm
L = 31 cm
Verification:
P = 2L+2W
P = 2(31)+2(15)
P = 62+30
P = 92cm
Hope I Helped!
Answer:
P = 2(L + W) = 2L + 2W (first part)
L = 2W + 1 (second part)
Step-by-step explanation:
L = length of rectangle
W = width of rectangle
P = perimeter of rectangle = 2 * (L + W)
So P = 2(L + W) = 2L + 2W (1)
It is also given that length is 2 * width + 1
So we get the equation
L = 2W + 1 for L in terms of W (2)
This question does not ask you to compute L and W but if you wanted to do that use the following steps
Substitute for L from equation 2 to equation 1 giving
P = 2(2W+1) + 2W = 4W + 2 + 2W = 6W + 2
We know P = 92
So 6W + 2 = 92
Subtracting 2 from both sides we get 6W = 90
Dividing both sides by 6 gives us W = 15
and L = 2 * 15 + 1 = 31
We can check this by finding the perimeter from L and W
perimeter = 2(L+W) = 2(31 + 15) = 2 (46) = 92 which matches the data in the question
find the indefinite integral.
Using substitution, the result of the indefinite integral is:
[tex]3\ln{(1 + x^{\frac{1}{3}})} + C[/tex]
What is the integral?The integral is:
[tex]\int \frac{1}{x^{\frac{2}{3}}(1 + x^{\frac{1}{3}})} dx[/tex]
The substitution is:
[tex]u = 1 + x^{\frac{1}{3}}[/tex]
Then the derivative is:
[tex]du = \frac{1}{3}x^{-\frac{2}{3}} dx[/tex]
ttex]dx = 3dux^{-\frac{2}{3}}[/tex]
Hence the integral is:
[tex]\int \frac{1}{x^{\frac{2}{3}}(1 + x^{\frac{1}{3}})} dx[/tex]
[tex]\int \frac{1}{x^{\frac{2}{3}}u} \times 3dux^{-\frac{2}{3}}[/tex]
[tex]\int \frac{3du}{u}[/tex]
[tex]3\ln{u} + C[/tex]
Returning to x:
[tex]3\ln{(1 + x^{\frac{1}{3}})} + C[/tex]
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Which statement describes a key feature of function g if g(x) = f(x + 4)?
OA y-intercept at (0,4)
OB. x-intercept at (4,0)
OC. horizontal asymptote of y = 0
OD. horizontal asymptote of y = 4
The statement that describes a key feature of function g if g(x) = f(x + 4) is C. horizontal asymptote of y = 0.
What is a function?It should be noted that a function is an expression that shows the relationship between the variables.
In this case, the statement that describes a key feature of function g if g(x) = f(x + 4) is that the horizontal asymptote of y = 0.
The horizontal asymptote is vital for guiding the variables
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Please help!! Thank you so much if you do!! Jayla bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 12 cups of soup.
Answer:
d.) 226.2 cubic inches
Step-by-step explanation:
The soup pot is in the shape of a cylindrical.
And
[tex]\sf Volume \ of \ cylinder= \pi (radius)^2 (height)[/tex]
Here given:
radius: 3 inchheight: 8 inchSo,
[tex]\sf Volume \ of \ pot= \pi (3)^2 (8)[/tex]
[tex]\sf Volume \ of \ pot= 72\pi \ in^3[/tex]
[tex]\sf Volume \ of \ pot= 226.2 \ in^3[/tex]
A grocery store sells a bag of 8 oranges for $4.40. How much would it cost for 9 oranges?
To solve this exercise, we apply the rule of three:
Oranges......................Price
8.................................$4.40
9.......................................x
We solve as follows:
[tex]\boldsymbol{\sf{x=\dfrac{9\times4.40}{8}=\dfrac{39.6 }{8}=4.9 }}[/tex]
Therefore, 9 oranges would cost $4.9.
{ Pisces04 }The required cost of the amount of 4.95 dollars would be for 9 oranges.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have been given that a grocery store sells a bag of 8 oranges for $4.40.
We have to determine the cost for 9 oranges.
Let's assume x dollars would it cost for 9 oranges.
As per the given condition, we can write the ratio as:
8 oranges : $4.40 = 9 oranges : x dollars
⇒ 8 / 4.40 = 9 / x
Cross multiplication and rearrange the terms of the above equation,
⇒ 8x = 4.40×9
Divide by 8 into both sides of the equation,
⇒ x = (4.40×9)/8
⇒ x = (39.6)/8
⇒ x = 4.95
Therefore, the cost of the amount of 4.95 dollars would for 9 oranges.
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12. Find the slope and y-intercept of the line. y= 1/5x-8
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
What does the problem want us to find:
slopey-interceptLet's gather the information:
⇒ the information given: y = 1/5 x - 8
⇒ the line is in slope-intercept form
⇒ means:
⇒ coefficient in front of 'x' is the slope
⇒ constant is the y-intercept
slope is 1/5y-intecept is -8Answer:
Slope is 1/5y-intercept is -8Hope that helps!
#LearnwithBrainly
Hi!
The equation that we're working with is provided to us in Slope-Intercept Form:
[tex]\diamondsuit~~~\large\boldsymbol{y=mx+b}[/tex]
In the formula, the letter "m" denotes the slope, and it always comes before x; b is the y-intercept, and it's basically a number that is either added or subtracted from x.
Now let's identify the slope of the line given to us, that is:
[tex]\boldsymbol{\underline{\underline{y=1/5x-8}}}[/tex]
Slope = number before x,
Y-intercept = number added/subtracted from the slope
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:\displaystyle\frac{1}{5}}\\\bold{Y-intercept:-8}\end{cases}}}}[/tex]
I hope it helped! Let me know if you need any explanation or clarification! I'm always happy to help. :D
From the sample space S= (1, 2, 3, 4..., 15} a single number is to be selected at random. Given the following events, find the indicated probability. A: The selected number is even. B: The selected number is a multiple of 4. C: The selected number is a prime number. P(A and C) P(A and C) = (Simplify your answer. Type an integer or a fraction.)
Probability the selected number is even is 7/15
Probability the selected number is a multiple of 4 is 1/5
Probability the selected number is prime = 2/5
What is probability?Probability is the likelihood of an event happening or an event not happening.
When it is certain an event would happen the probability is 1.
Probability can be independent or mutually exclusive.
Analysis:
Required outcome
A = {2, 4, 6, 8, 10, 12, 14} (even numbers)
Total entry = 7
Total Sample = 15
P(even numbers) = 7/15
B (multiples of 4) = {4, 8, 12}
Total entry = 3
P(B) = 3/15 = 1/5
C(prime numbers) = {2, 3, 5, 7, 11, 13}
Total entry = 6
P(C) = 6/15
P(A and C) = 0.
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Can it be concluded that AWXY ABCD by SAS? Why or why not?
Ono, because the third corresponding sides must also be given as congruent
Ono, because the corresponding congruent angles listed are not the included angles
Ono, because all corresponding angles must be given as congruent
O yes, because two corresponding sides and a corresponding angle are congruent
It can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D
What is SAS congruency?SAS congruency states that two triangles are said to be congruent if any two sides or angle between the sides of one triangle are equal to the corresponding two sides and also the angle between the sides of the second triangle.
Thus, it can be concluded that ΔWXY is equivalent to ΔBCD by the SAS rule because the corresponding sides and corresponding angle are congruent. Option D
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Answer:
B. No, because the corresponding congruent angles listed are not the included angles.
Step-by-step explanation:
what is the surface area of 5 feet and base radius of 8 feet
Answer:
40 feetI is the correct answer
Subtract -13f^3+9f2+7f-16-(-8 f^3+5f^2+9f-4)
Answer:
:)\
Step-by-step explanation:
Let x represent Anna's age. If John's age is Anna's age plus 1 and Tamara is Anna's
decreased by 2, write an expression that represents the sum of Anna's and John's
age, minus Tamara's age?
Answer:
x + 3
Step-by-step explanation:
x = Anna's age
y = John's age
z = Tamara's age
y = x + 1
z = x - 2
the expression for the sum of Anna's and John's age minus Tamara's age is
x + y - z
and when we use the equations above to simplify that :
x + (x + 1) - (x - 2) = x + x + 1 - x + 2 = x + 3
Chase makes 2 gallons of soup for a dinner party. He serves 15 cups of soup to his guest. How many cups of soup will he have left over?
Answer:
17 gallons
Step-by-step explanation:
1 gallon has 16 cups
2 gallons have 32 cups
32-15=17
Answer:
17 cups
Step-by-step explanation:
1 gallon=16 cups
Since he made 2 gallons of soup, multiply 16 x 2 and you will get 32 cups of soup. If he served 15 cups of soup to his guests, he will have 17 cups of soup left over, because 32 - 15 = 17.
I hope i helped!!! :)