A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
Blue
Green
Yellow
Purple
11
8
15
3
17
Based on these results, express the probability that the next spin will land on blue as
a percent to the nearest whole number.
The probability that the next spin will land on blue as a percentage would be 15 %.
How to find the probability ?The probability that the next spin lands on blue can be found by the formula :
= Number of times blue was landed on / Number of times in total
Number of times blue = 8 times
Number of times in total :
= 11 + 8 + 15 + 3 + 17
= 54 times
The probability is therefore :
= 8 / 54 x 100 %
= 15 %
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Answer:
Step-by-step explanation:
the actual answer is 68%
Analyzing account entries and balances Use the information in each of the following separate cases to calculate the unknown amount. a. Corentine Co. had $152,000 of accounts payable on September 30 and $132,500 on October 31. Total purchases on account during October were $281,000. Determine how much cash was paid on accounts payable during October. b. On September 30, Valerian Co. had a $102,500 balance in Accounts Receivable. During October, the company collected $102,890 from its credit customers. The October 31 balance in Accounts Receivable was $89,000. Determine the amount of sales on account that occurred in October.
a. The cash paid on accounts payable during October is $19,500.
b. The amount of sales on account that occurred in October is $89,390
a. To determine the cash paid on accounts payable during October, we need to calculate the change in accounts payable balance.
Change in accounts payable = Accounts payable on October 31 - Accounts payable on September 30
Change in accounts payable = $132,500 - $152,000
Change in accounts payable = -$19,500 (negative indicates a decrease)
Since accounts payable decreased, it means cash was paid to reduce the balance.
Therefore, the cash paid on accounts payable during October is $19,500.
b. To determine the amount of sales on account that occurred in October, we need to calculate the change in accounts receivable balance.
Change in accounts receivable = Accounts receivable on October 31 - Accounts receivable on September 30
Change in accounts receivable = $89,000 - $102,500
Change in accounts receivable = -$13,500 (negative indicates a decrease)
Since accounts receivable decreased, it means that the company collected more cash than the credit sales made during October.
The amount of sales on account that occurred in October is the sum of the change in accounts receivable and the cash collected from credit customers:
Sales on account = Change in accounts receivable + Cash collected from credit customers
Sales on account = -$13,500 + $102,890
Sales on account = $89,390
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537,699 in word form
Answer: five hundred thirty seven thousand six hundred ninety nine
Step-by-step explanation:
1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6
Answer:
No solution
Step-by-step explanation:
The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.
Hope this helps.
The flux density at a point (1,2,-2) in space is 4x²y²â¸ +6kxy⸠+ yz³â T. Find k . (a) -2 (b) 4 (c) -9.33 (d) 9.33
None of the given options (a), (b), (c), or (d) is correct. The correct value of k for the given flux density is 1.
To find the value of k in the given flux density equation, we can compare the given equation with the general form of the flux density:
B = Axi + Byj + Czk
By comparing the coefficients of each component, we can determine the value of k.
Given flux density equation: \(4x^2y^2\hat a + 6kxy\hat a + yz^3\hat a T\)
Comparing the coefficients:
\(Ax = 4x^2y^2 = > A = 4y^2\)
By = 6kxy => B = 6kx
\(Cz^3 = yz^3 = > C = y\)
Since \(A = 4y^2\) and B = 6kx, we can set them equal to their respective coefficients in the general form:
\(A = 4y^2 = > 4y^2 = 4y^2\)
B = 6kx => 6kx = 6kx
Now, we need to compare the z-component to determine the value of k:
C = y
C = 1
Comparing the z-components:
\(yz^3 = 1z^3 = > y = 1\)
Therefore, the value of k is determined by the coefficient of the x-component:
B = 6kx
6k = 6
Dividing both sides by 6, we find:
k = 1
So, the value of k is 1.
Answer: None of the given options (a), (b), (c), or (d) is correct. The correct value of k is 1.
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Can someone help me
Pls
Answer:
11 17/21
Step-by-step explanation:
Answer:
\(21\frac{11}{21}\)
Step-by-step explanation:
31/6 * 16/7 = 24
817,342-20,300=? what is the answer
2. if a sample has a mean of 100 and standard deviation of 6, what value would correspond the the z-score of 2?
The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.
The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation
In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean
Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112
Therefore, the value that corresponds to the z-score of 2 for this sample is 112.
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Farmer Jones and Farmer Smith graze their cattle on the same field. If there are 20 cows grazing in the field each cow produces $4000 of milk. If there are more cows in the field, then each cow produces can eat less grass and the milk production falls. With 30 cows on the field each produces $3000 of milk, with 40 cows each produces $2000 of milk . Cows cost $1000 a piece. Assume that Farmer Jones and farmer Smith can buy either 10 cows or 20 cows, find out the Dominant Strategy of Farmer Jones and express the same in formal language. I want to see all the steps.
The dominant strategy of Farmer Jones is to buy 10 cows.
To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:
buying either 10 cows or 20 cows.
Let's analyze the potential outcomes for each case:
Buying 10 cows:
If Farmer Smith buys 10 cows:
The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.
If Farmer Smith buys 20 cows:
The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.
Buying 20 cows:
If Farmer Smith buys 10 cows:
The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.
If Farmer Smith buys 20 cows:
The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).
From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.
In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.
Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.
Formally, we can express this as follows:
For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.
Hence, Farmer Jones' dominant strategy is to buy 10 cows.
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Failing please please
Answer:
A = 102m squared (Brainiest?)
Equation = b x h / 2
Step-by-step explanation:
A = (12 x 17) / 2
A = 204 / 2
A = 102m squared
a brief description of a distribution should include its shape, center, and _____.
A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.
A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.
The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.
The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.
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Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
Please help me with this question
Answer:
Either 36.35 or 16.00173
Step-by-step explanation:
the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.
IF you are supposed to use inverse cosine:
16.00173
IF NOT:
36.35182
HELP ASAP WHICH FUNCTION BELOW HAS THE GREATER RATE OF CHANGE THX AND PLZ
Answer:
B
Step-by-step explanation:
B has a slope of 7 while A has a slope of 6.
slope of B 14-7/2-1 = 7
A slope is y= mx+b and m is the slope. so 6.
Look at problem 4.suppose the width of the rectangle exercise mat is 2 meters longer what is another name for the shape of the exercise mat? Explain how you know.
Another name for the shape of the exercise mat is a parallelogram
What is another name for the shape of the exercise mat?The given parameters are:
Shape of mat = Rectangle
Width = 2 meters longer
The above means that the exercise mat is a rectangle, and the width of the rectangle exercise mat is 2 meters longer than the length
All rectangles are parallelograms.
So, this means that another name for the shape of the exercise mat is a parallelogram
Hence, another name for the shape of the exercise mat is a parallelogram
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if 4b is equal to 3 what is b
Answer:
4b=3
b= 3/4
b=0.75
...........................
Please Help !! (no fake answers please)
Answer:
$80
Step-by-step explanation:
Substitute x for 40 in both equations. Let's start with 50 + 12x. The equation becomes 50 + 12(40). First, multiply 12 by 40 to get 480. Now add 480 to 50 to get a total of $530 in printing fees for Company A.
Now, let's move on to 10 + 15x. That becomes 10 + 15(40). First, multiply 15 by 40 to get 600. Then add 10 to 600 to get $610 in printing fees for Company B.
Now that we know the total costs, let's subtract them to get our difference. Simply subtract 530 from 610 to get our final answer: an $80 difference in printing fee costs between the companies.
( 3 x 5 + y 2 ) 2 (3x 5 +y 2 ) 2
The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
How to evaluate the expression?The expression is given as:
(3x^5 + y^2)^2
Expand the expression
So, we have
(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)
Expand the bracket
(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4
Evaluate the sum
(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4
Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4
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I need help with this
a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).
To solve:
12 - 4x = 15 - 3x
12 = 15 + x
-3 = x
Therefore, x is equal to -3.
b) To find the value of AB, plug in the value of x found in part a).
12 - 4x
12 - 4(-3)
12 - (-12)
12 + 12 = 24
Thus, segment AB is equal to 24.
c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.
15 - 3x
15 - 3(-3)
15 - (-9)
15 + 9 = 24
Thus, segment DE is also equal to 24.
We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.
I hope this helps!
Simplify the function f (x) = one-third (81) Superscript StartFraction 3 x Over 4 EndFraction. Then determine the key aspects of the function. The initial value is . The simplified base is . The domain is . The range is .
Answer:
The answer is given below
Step-by-step explanation:
Given that:
\(f(x)=\frac{1}{3}(81)^ \frac{3x}{4} \\Using\ exponent\ rule:a^{xy}=a^xa^y\\f(x)=\frac{1}{3}(81^{1/4})^ {3x}\\f(x)=\frac{1}{3}(3})^ {3x}\\f(x)=\frac{(3)^ {3x}}{3^1} \\Using\ exponent\ rule:a^x/a^y=a^{x-y}\\f(x)=3^ {3x-1}\)
The function is an exponential function.
The domain is the set of all independent variables i.e the input values (x values). For an exponential function, the domain is the set of all real numbers. That is:
Domain: x = (-∞, ∞)
The range is the set of all dependent variables i.e the values of y. For an exponential function, the range is the set of all real numbers greater than zero. That is:
Range: y = (0, ∞)
Answer:
initial value 1/3
simplified base 27
domain is all real numbers
range is y>0
Step-by-step explanation:
Determine the equation of a line parallel to the graph of y=3x - 9 and goes through the point (2, 10)
Answer:
y=3x+4
Step-by-step explanation:
since the line is parallel it has the same slope so we have y = 3x + b. plug in the point (2,10) to get 10 = 3*2 + b, so b=4. so the equation is y = 3x +4
MARKING BRAINLIEST
For what value of x is the rhombus below?
Answer:
x=2
Step-by-step explanation:
If this figure is a rhombus, then the two sides have to be equal:
3x+9=8x-1
Move like terms to one side (note that when you move it, the sign flips. Ex: - becomes +)
3x-8x=-9-1
-5x=-10
Divide both sides by -5
x=2
A zip line steel cable is being constructed for a reality television competition show. The high end of the zip line is attached to the top of a 50-foot pole, while the lower end is anchored at ground level to a stake 50 feet from the base of the pole. (See figure.) Find exact values for all your answers below.
The competitor falls vertically at a speed of approximately 4.1 feet per second
What is Trigonometry and its type ?The branch of mathematics that deals with special functions of angles and their application in calculations. There are six commonly used angle functions in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
(a) We can use trigonometry to find the angle of elevation of the zipper. Let x be the height of the column above the ground. Then, using the Pythagorean theorem, we get:
x² + 50² = (x + 50)²
Expanding and simplifying, we get:
x²+ 2500 = x²+ 100 x + 2500
Subtracting 2500 from both sides, we get:
100x = 2500
x = 25
The height of the mast from the ground is therefore 25 feet. Now we can use trigonometry to find the elevation angle. Let θ be the elevation perspective. Then:
tan(θ) = 25/50 = 1/2
Taking the inverse tangent we get:
θ = 26.57 degrees
The height angle of the zipper is therefore approximately 26.57 degrees.
(b) We can again use the Pythagorean theorem to find the length of steel wire needed for the zipper. The length of the zip is the hypotenuse of a right triangle with legs of 25 feet and 50 feet. So:
length of zipper = √(25² + 50²) = 55.9 feet
Therefore, approximately 55.9 feet of steel wire is required for the zipper.
(c) The competitor moves along the zip line at a constant speed, so we can use the formula:
speed = distance/time
The distance traveled is the length of the zipper, which we found to be approximately 55.9 feet. The time used is 6 seconds. So:
velocity = 55.9/6 ≈ 9.32 ft/s
Therefore, the competitor moves down the zip line at a speed of approximately 9.32 feet per second.
We can again use trigonometry to determine the competitor's vertical drop rate. The vertical component of the competitor's speed is obtained as follows:
vertical velocity = velocity * sin(θ)
where θ is the elevation angle found earlier. So:
vertical velocity = 9.32 * sin(26.57) = 4.1 ft/s
Therefore, the competitor falls vertically at a speed of approximately 4.1 feet per second
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Mr Jacobs travels for 2 hours by car and covers a distance of 220 km Jong (in hours and minutes will it take Mr Jaces to cover a distance of 352 km at the same average speed?
At the same average speed, it would take Mr Jacobs 3 hours and 12 minutes to cover a distance of 352 km.
To calculate the time it would take Mr Jacobs to cover a distance of 352 km at the same average speed, use the following formula:
Time = (Distance / Average Speed) * 60
Time = (352 km / 220 km/h) * 60
Time = (1.6) * 60
Time = 96 minutes
Time = 1 hour and 36 minutes
Therefore, it would take Mr Jacobs 3 hours and 12 minutes to cover a distance of 352 km at the same average speed.
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6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
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A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running away at a speed of 40 feet per second. What should the fox's speed be to catch up to the rabbit?
The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40
The distance between the rabbit and fox, d = 35 feets
The rabbit's speed = 40 feets per second
Fox's speed = F
In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.
Let the time = t
Recall :
Speed = distance / time
Distance = speed × time
Rabbit's distance from fox after time t will be :
35 + (40 × t) = 35+40t
Fox's distance after time, t = fox speed × t = F × t
In other to catch up ; both fox and rabbit must be at the same distance ;
Rabbit's distance at time t = Fox's distance at time t
35+40t = Ft
To solve for F which is the fox's speed:
Divide both sides by t
(35+40t) / t = Ft/t
35/t + 40 = F
Hence, the fox' s speed must be : 35/t + 40
To obtain the exact speed of the fox, we must be given a specific time value.
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Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answer: 145
Step-by-step explanation:
check
A research analyst disputes a trade group's prediction that back-to-school spending will average $606.40 per family this year. She believes that average back-to-school spending will significantly differ from this amount. She decides to conduct a test on the basis of a random sample of 20 households with school-age children. She calculates the sample mean as $628.85. She also believes that back-to-school spending is normally distributed with a population standard deviation of $45. Use 5% significance.
Part 1
State the null hypothesis and the alternative hypothesis for testing that the average back-to-school spending differs from $606.40.
Part 2
State the critical value(s) for testing this hypothesis.
Part 3
Calculate the test statistic Z for testing this hypothesis
Part 4
State and support your conclusions
Based on the calculations we have rejected the null hypothesis .
Given,
Standard deviation = $ 45
Random sample = 20
Now,
Part 1
Set the null hypothesis and alternative hypothesis,
\(H_{0} : u = 0\\ H_{0} : u > 606.40\)
Part 2
The value of z critical signifies 5% level of significance .
\(Z_{0.05} = 1.65\)
According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .
Part 3
The value of Z can be calculated by the formula,
Z = X - µ/σ/√n
Substitute the values ,
Z = 628.85 - 606.40/45/√20
Z = 1.93
Part 4
From the above calculation the value of Z is greater than the critical value .
Thus we reject the null hypothesis .
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Quadrant 1, Quadrant 2, Quadrant 3 or Quadrant 4?
Answer:
4
Step-by-step explanation:
The positive x-axis separates quadrant I from quadrant IV.
Reflecting the figure over the x-axis will put its image in quadrant 4.
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided Group of answer choices A B C D
The situation that could be true about the reduction in Julie's net worth will be; d). Julie's assets decreased by more than her liabilities.
What is 'Net Worth?'Net Worth' is characterized as 'the value of all the assets one possesses after subtracting all his/her debts or liabilities.'
In the given situation, the decrease in Julie's net worth would denote that the total of her liabilities for that financial year exceeded her total assets given in the question.
However another possibility could be that the decrease faced in her liabilities is higher than the decrease in her assets leading her net worth to be negative.
Hence, option D is the best answer.
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