The box-and-whisker plot below represents some data set. What percentage of the
data values are between 16 and 72?
20
40
60
80
100
Answers
Reason:
Each small tickmark increments by 4
The left edge of the box is at 16. This is the first quartile Q1
While the Q3 value is at 72, as it's the right edge of the box.
50% of the data always is between Q1 and Q3.
Related Questions
The table for the quadratic functions f(x) and g(x) are given.
x f(x) g(x)
−4 16 4
−2 4 1
0 0 0
2 4 1
4 16 4
Determine the type of transformation and the value of k.
g of x equals one fourth time f of x
g of x equals f of one fourth times x
g(x) = 4f(x)
g(x) = f(4x)
Answers
Answer:
Since g(x) = 1/4f(x), we have that g(x) is a horizontal stretch of f(x) by a factor of 4. This means that g(x) is narrower than f(x), and it has a wider range since it covers a smaller interval on the x-axis.
The value of k in this case is 0, since both f(0) and g(0) are equal to 0.
Therefore, the transformation from f(x) to g(x) is a horizontal compression by a factor of 1/4, and k=0.
Step-by-step explanation:
Answer:
g(x) = f(4x)
Step-by-step explanation:
It worked for my test.
a janitor had 3/5 of a spray bottle of a cleaning solution . he used 1/9 of the soloution in a day. how much of the bottle did he use?
Answers
The Janitor used 8/15 of the bottle
How to calculate the amount of the solution of the bottle used ?
The Janitor has 3/5 of a spray bottle solution
He uses 1/9 of the solution in a day
The amount of solution used can be calculated as follows
3/5 × 1/9
= 3/45
= 1/15
The initial amount in the bottle is
3/5 - 1/15
= 8/15
Hence the amount of solution he has used is 8/15
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An expression is shown below. Which expression is equivalent to the expression shown?
- 2x(x + y - 3) + 3(-x + 4y) + y(3x + 5y - 3)
- 2x2(5y2 + xy + 3x + 9y
- 2x2 + 5y2 + xy - 6x +9y
- 5x2 + 5y2 + xy + 3x + 9y
- 5x2 + 5y2 + xy - 6x + 9y
Answers
Note: In option A, it should be "+" instead of "(".
Given:
The expression is
\(-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)\)
To find:
The equivalent expression.
Solution:
We have,
\(-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)\)
Using distributive property, we get
\(=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)\)
\(=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y\)
On combining like terms, we get
\(=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)\)
\(=-2x^2+5y^2+xy+3x+9y\)
The expression \(-2x^2+5y^2+xy+3x+9y\) is equivalent to the given expression.
Therefore, the correct option is A.
Beach travel rents dune buggies for 50$ For 4 hours or 75$ for 6 hours what us the hourly rate
Answers
Answer:
12
Step-by-step explanation:
Try It
Given: AD
Prove: DE
D
BC and BCD =
CE
Hint
B
Angles Segments Triangles Statements Reasons
AAS
CPCTC
Statements
✓ 1. AD = BC
✓2. ZBCD =
3. DC DC
4. AADC = ABCD
5. LEDC ZECD
SAS
converse of isosceles triangle thm
Reasons
1. given
2. given
3. reflexive property
4. SAS
5. CPCTC
Answers
The required statements and reasons to prove that DE is equal to CE is explained.
What is a triangle congruence theorem?The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.
The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.
STATEMENT REASON
1. AD = BC Given
2. <BCD = <ADC Given
3. DC = DC Reflexive property
4. ΔADC ≅ ΔBCD SAS
5. <EDC ≅ <ECD CPCTC
6. AC = BD Definition of diagonal
7. DE = CE Congruent sides of isosceles triangle
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This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB
Answers
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
Since the distance AB is the radius of both circles:
AB = AC = BC = BD = AD = rSo the answer choices:
a. AC = BC
Correct, both equal to rb. AC = BD
Correct, both equal to rC. CD = AB
Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3d. ABCD is a square
Incorrect. ACBD is rhombuse. ABD is an equilateral triangle
Correct, all three sides are equal to rf. CD = AB + AB
Incorrect as CD = AB√3
Which of the following tables represents a linear relationship that is also proportional?
(A)
x −1 0 1
y 0 2 4
(B)
x −3 0 3
y −2 −1 0
(C)
x −2 0 2
y 1 0 −1
(D)
x −1 0 1
y −5 −2 1
Answers
Answer: 我不知道你好
Step-by-step explanation:
As used in line 36, "best" most nearly means
A) superior.
B) excellent.
C) genuine.
D) rarest.
Answers
"Best" most nearly means: "genuine" (option C).
What is a comprehension passage?In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.
Now,
In lines 35-38, Stanton states that the society contains hardly any women in the "best sense" and clarifies that too that a lot of women are "reflections, varieties and delusion of the masculine gender".This way, Stanton is suggesting that there are only a few women who are actually 'best' or 'genuine', the ones who are not completely influenced or driven by men.To learn more about comprehension passages, refer to the link:
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Please help!! What is the answer? What is the square rout of 88 rounded to the nearest 100th?
Answers
9.38
please don't trust this answer
what kind of logic/algorithm would you employ to filter out this gps noise
Answers
The Kalman filter is a common algorithm used to filter out statistical noise on a GPS.
Statistical noise in the demand of a process is defined as the amount of demand that is purely a result of randomness and could not have been forecasted with the best forecasting method.
Kalman filter is an optimal estimator that makes predictions about the state of a linear dynamic system from a series of measurements that contain statistical noise.
The Kalman filter works by first making a prediction about the current state of the system based on the previous state and the control input. Then, it updates this prediction with the new measurement to obtain an updated estimate of the state. This process is repeated for each new measurement, resulting in a more accurate estimate of the system's state.
In the case of GPS noise, the Kalman filter can be used to reduce the effect of measurement noise on the estimated position of the vehicle. The filter uses the previous position estimate and the control input (e.g., acceleration, steering angle) to predict the current position. This prediction is then updated with the new GPS measurement to obtain an updated position estimate. By repeating this process for each new measurement, the Kalman filter can reduce the effect of GPS noise on the estimated position.
In conclusion, the Kalman filter is a commonly used algorithm for filtering out GPS noise. It works by making predictions about the state of a system based on previous measurements and control inputs and then updating these predictions with new measurements. This results in a more accurate estimate of the system's state, which can be used to reduce the effect of GPS noise on the estimated position of a vehicle.
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The Wagner Corporation has a $22 million bond obligation outstanding, which it is considering refunding. Though the bonds were initially issued at 12 percent, the interest rates on similar issues have declined to 10 percent. The bonds were originally issued for 20 years and have 16 years remaining. The new issue would be for 16 years. There is a 7 percent call premium on the old issue. The underwriting cost on the new $22 million issue is $680,000, and the underwriting cost on the old issue was $530,000. The company is in a 40 percent tax bracket, and it will allow an overlap period of one month ( 1/12 of the year). Treasury bills currently yield 5 percent. (Do not round intermediate calculations. Enter the answers in whole dollars, not in millions. Round the final answers to nearest whole dollar.) a. Calculate the present value of total outflows. Total outflows b. Calculate the present value of total inflows. Total inflows $ c. Calculate the net present value. Net present value $ d. Should the old issue be refunded with new debt? Yes No
Answers
The answer are: a. Total outflows: $2,007,901, b. Total inflows: $827,080, c. Net present value: $824,179, d. Should the old issue be refunded with new debt? Yes
To determine whether the old bond issue should be refunded with new debt, we need to calculate the present value of total outflows, the present value of total inflows, and the net present value (NPV). Let's calculate each of these values step by step: Calculate the present value of total outflows. The total outflows consist of the call premium, underwriting cost on the old issue, and underwriting cost on the new issue. Since these costs are one-time payments, we can calculate their present value using the formula: PV = Cash Flow / (1 + r)^t, where PV is the present value, Cash Flow is the cash payment, r is the discount rate, and t is the time period.
Call premium on the old issue: PV_call = (7% of $22 million) / (1 + 0.1)^16, Underwriting cost on the old issue: PV_underwriting_old = $530,000 / (1 + 0.1)^16, Underwriting cost on the new issue: PV_underwriting_new = $680,000 / (1 + 0.1)^16. Total present value of outflows: PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. Calculate the present value of total inflows. The total inflows consist of the interest savings and the tax savings resulting from the interest expense deduction. Since these cash flows occur annually, we can calculate their present value using the formula: PV = CF * [1 - (1 + r)^(-t)] / r, where CF is the cash flow, r is the discount rate, and t is the time period.
Interest savings: CF_interest = (12% - 10%) * $22 million, Tax savings: CF_tax = (40% * interest expense * tax rate) * [1 - (1 + r)^(-t)] / r. Total present value of inflows: PV_inflows = CF_interest + CF_tax. Calculate the net present value (NPV). NPV = PV_inflows - PV_outflows Determine whether the old issue should be refunded with new debt. If NPV is positive, it indicates that the present value of inflows exceeds the present value of outflows, meaning the company would benefit from refunding the old issue with new debt. If NPV is negative, it suggests that the company should not proceed with the refunding.
Now let's calculate these values: PV_call = (0.07 * $22,000,000) / (1 + 0.1)^16, PV_underwriting_old = $530,000 / (1 + 0.1)^16, PV_underwriting_new = $680,000 / (1 + 0.1)^16, PV_outflows = PV_call + PV_underwriting_old + PV_underwriting_new. CF_interest = (0.12 - 0.1) * $22,000,000, CF_tax = (0.4 * interest expense * 0.4) * [1 - (1 + 0.1)^(-16)] / 0.1, PV_inflows = CF_interest + CF_tax. NPV = PV_inflows - PV_outflows. If NPV is positive, the old issue should be refunded with new debt. If NPV is negative, it should not.
Performing the calculations (rounded to the nearest whole dollar): PV_call ≈ $1,708,085, PV_underwriting_old ≈ $130,892, PV_underwriting_new ≈ $168,924, PV_outflows ≈ $2,007,901,
CF_interest ≈ $440,000, CF_tax ≈ $387,080, PV_inflows ≈ $827,080. NPV ≈ $824,179. Since NPV is positive ($824,179), the net present value suggests that the old bond issue should be refunded with new debt.
Therefore, the answers are:
a. Total outflows: $2,007,901
b. Total inflows: $827,080
c. Net present value: $824,179
d. Should the old issue be refunded with new debt? Yes
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Calcule as expressões:
a) (-1/2)² + 2/5 =
b) (-1/2)³ + 1 =
c) (2/5)² x (-1/2)³ =
d) 2 x (-1/3)² - (1/2) =
e) 1 + (+2/5) – ( ½)² =
Answers
Step-by-step explanation:
a, 1/4+2/5=13/20
b,-1/8+1=7/8
c, 4/25×-1/8=-1/50
d, 2×1/9-1/2=2/9-1/2=-5/18
e, 1+2/5-1/4=7/5-1/4=23/20
13. The company you work for has downsized and you have lost your job. You receive a severance package of $65 000 and decide to invest it for retirement, earning an average of 7% per year. It has been suggested that you should be able to retire comfortably with $500 000 in savings. If your investment can be modelled with the equation y = 65000(1.07)^x how many years will pass before you reach $500 000?
Answers
Answer:
31 years
Step-by-step explanation:
65000*(1.07) ^31 is around $529000
however, 65000*(1.07) ^30 is around $491000
so you would need 31 years to gain more than $500,000.
It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.
We need to find the value of x, which represents the number of years.
Setting y = $500,000, we can solve for x:
500,000 = 65,000(1.07)ˣ
500,000/65,000 = (1.07)ˣ
100/13 = (1.07)ˣ
To solve for x, we take the logarithm of both sides:
ln 100/13 = ln (1.07)ˣ
ln 100/13 = x ln (1.07)
x = (ln 100/13)/(ln (1.07))
x = 30
Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.
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at a large university, the division of computing services surveyed a random sample of 45 biology majors and 55 business majors from populations of over 1,000 biology and 1,000 business majors. the sampled students were asked how many hours they spend per week using any university computer lab. let x¯1 represent the average hours per week spent in any university computer lab by the 45 biology majors, and let x¯2 represent the average hours per week spent in any university computer lab by the 55 business majors.
Answers
According to the central limit theorem, difference of sample mean of two normal populations will also fill normal distribution if the sample size is at least 30 .
What does a statistical sample distribution mean?
An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.
What are the different forms of sample distribution?
This idea, which is a sort of probability distribution, is frequently used to gather precise data from a huge population that has been divided into a number of samples that have been chosen at random.
This idea is further broken down into three categories: sampling Distribution of the mean, percentage, and T-Sampling.
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The complete question is -
Ata large university, the division of computing services surveyed random sample of 45 biologv majors and 55 business majors from populations of over 1,000 biology and O00 business majors. The sampled students were asked how many hours they spend per week using any university computer lab. Let represent the average hours per week spent in any university computer lab by the 45 biology majors, and let 1, represent the average hours per week spent in any university computer lab by the 55 business majors. Which of the following Is the best explanation for why the sampling distribution of can be modeled with a normal distrlbution? A) The two sample standard deviations are assumed to be equal_
Let X
=
A
.
¯¯¯¯¯¯
B
C
. Evaluate X for
(a) A
=
1
,
B
=
0
,
C
=
1
, (b) A = B = C = 1 and ( c) A = B = C = 0.
Answers
The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.
To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.
(a) For A = 1, B = 0, and C = 1:
X = 1.¯¯¯¯¯¯01
To find the complement of BC, we replace B = 0 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001
(b) For A = B = C = 1:
X = 1.¯¯¯¯¯¯11
Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:
X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111
(c) For A = B = C = 0:
X = 0.¯¯¯¯¯¯00
Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:
X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000
In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.
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A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
Answers
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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Given the function f(x)=2x²+3, what is the average rate of change of f on the interval [2,2+h]?
Answers
Answer:
5.2
Step-by-step explanation:
Question 2
b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.
Do answer b please
Answers
The domain of the function is x ≤ 6.88
The domain of the function is y ≤ 20
Domain and RangeThese are input and output values for which the function existsGiven the function of x expressed as:
y = 3.5x + 2.8
The domain occurs at the point where 3.5x + 2.8 ≤ 20
3.5x ≤ 20 - 2.8
3.5x ≤ 17.2
x ≤ 6.88 - Domain
This given the domain of the function.
The range of the function is the point where y ≤ 20
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Please help me with this anyone thank you
Answers
Answer:
y=x^2-11
y=6^2-11
6×6=36
36-11=35
y=35
Which of the of the following statements is true with respect to a simple linear regression model? a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1. O b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative. O C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant. O d. all of the above is true. e. none of the above is true.
Answers
Answer:
d. All of the above are true
Step-by-step explanation:
All of the following statements,
a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.
b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.
C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.
are true
enrj rj ejnfe nkee c enmdkwmdkmwe
Answers
Answer:
4iowtesnV?mc
Step-by-step explanation:
Radius of a quarter circle is 1 foot what is the quarter circles area
Answers
Answer: A=πr2=π·12≈3.14159ft²
Step-by-step explanation:
With the value of the circumference of the circle, find the radius of a circle. Then substitute the value of the radius of the circle in the formula of area of a quarter circle using radius which is πr2/4.
Answer:
0.785 ft²--------------------------------
Area of circleA = πr²A = 3.14×1² = 3.14 ft²Area of the quarter of circleA/4 = 3.14/4 = 0.785 ft²HELP PLSSSS
The mean time it takes for a random sample of 758 airplanes to fly from Florida to New York was shown to be 165 mins with a standard deviation of 45 minutes. Using a 95% confidence level which one of the following null hypothesis will be rejected
Answers
Based on the information provided, the null hypothesis that will be rejected is H: μ = 161.7 mins (Option A).
How to test each hypothesis?To determine which null hypothesis will be rejected, we need to compute the test statistic and compare it to the critical value. First, we need to calculate the standard error of the mean:
SE = σ/√n = 45/√758 ≈ 1.639
where σ is the population standard deviation (given as 45) and n is the sample size (given as 758).
Next, we need to calculate the test statistic:
t = (X - μ) / SE = (165 - μ) / 1.639
where X is the sample mean (given as 165) and μ is the hypothesized population mean.
At a 95% confidence level with 757 degrees of freedom (df = n - 1), the critical t-value is ±1.960.
Now we can test each null hypothesis:
A) H: μ = 161.7 mins
t = (165 - 161.7) / 1.639 ≈ 2.008
The calculated t-value (2.008) is greater than the critical t-value (1.960), so we reject the null hypothesis H: μ = 161.7 mins.
Therefore, the null hypothesis that will be rejected is H0: μ = 161.7 mins (Option A).
Note: This question is incomplete; here are the missing answers:
A H: μ=161.7 mins
B H: μ=162.0 mins
C H: μ=162.8 mins
D H: μ=167.9 mins
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What is 16 divided by 4 1/2
Answers
Answer:
3 5/9
Step-by-step explanation:
Solve the following inequality for x: −4x + 2(5x − 6) > −3x − 39
Answers
Answer: x > -3
Step-by-step explanation:
Answer:
x>-3
Step-by-step explanation:
x+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
Answers
a
a
from both sides of the equation.
x=3/4-a and that’s your answer
Ahmed works in a factory his normal rate of pay is £12.00 per hour When ahmed works on sundays he is paid overtime for each hour.The overtime rate of pay is 1 1/4 times his nomal hourly rate. Lat weekend Ahmed worked 9 hours on Saturday and 6 hours on Sunday. Work out how money he earned during that weekend
Answers
Answer:
Answer is in photo
a bagel store sells 6 different types of bagels. in how many ways can you buy 20 bagels with at least one bagel of each kind?
Answers
The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.
First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.
Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.
Using this method, we need to distribute 14 stars among 5 bars, which can be done in
(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.
Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.
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La o fabrica de jucarii sau produs 8424 de masinute albastre si de trei ori mai putine masinute rosii masinutele sau ambalat cate 12 intr o cutie cate cutii sau folosit
Answers
Answer:
936 boxes
Step-by-step explanation:
The computation is shown below:
The red cars is
= 8,424 ÷ 3
= 2,808
The first method for the number of boxes is
= 8,424 ÷ 12 + 2,808 ÷ 12
= 702 + 234
= 936 boxes
And, the other method to solve the number of boxes is
= (8,424 + 2,808) ÷ 12
= 936 boxes
Hence, in this way it could be solved in these two ways
please help me with math
