The revenue and cost functions of a company are given as () = −5 2 + 750 and () = 100 + 20,000 respectively. (i) Determine the maximum revenue for the company (4 marks) (ii) By plotting the graph of () and () on the same axes, determine the break-even levels. (

the answer is B because it is congruent and since AB=EF it's also B

Answer:

yeah im sorry i have no idea

Step-by-step explanation:

bro im soooooooo sorry

Answer:

4/5

Step-by-step explanation:

8/40 is 1/5

Therefore 1/5 DO glow in the dark.

5/5 minus 1/5 is 4/5

4/5 of the stickers don’t glow in the dark.

The average customers are spending in the range of ( 196.36 , 203.64) for the given mean and standard deviation.

As given in the question,

Sample size 'n' = 50

Sample mean 'μ ' is equal to  200

Standard deviation 'σ' = 10

z-score for 99% Confidence interval = 2.576

Confidence interval = mean ± z ( σ / √n )

Substitute the values we get,

Confidence Interval = 200 ± 2.576( 10 / √50)

                                 = 200± 2.576 ( 1.414)

                                = 200 ± 3.642464

Lower bound of the required confidence interval = 200 - 3.642464

                                                                                 = 196.36

Upper bound of the required confidence interval = 200 + 3.642464

                                                                                  = 203.64

Therefore, the average customer is spending between ( 196.36 , 203.64) range from the given mean and standard deviation.

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A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

What is a Coordinate Plane?

A Coordinate Plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis.

Elements of the Coordinate Plane

Quadrants: The two number lines divide the coordinate plane into 4 regions. These regions are called Quadrants. The quadrants are denoted by roman numerals and each of these quadrants have their own properties.

Quadrant I: The upper right Quadrant is the first Quadrant denoted as Quadrant I. In this quadrant, the x-axis and the y-axis both have positive numbers.

Quadrant II: The upper left Quadrant is the second Quadrant denoted as Quadrant II. In this quadrant, the x-axis has its negative numbers and the y-axis has positive numbers.

Quadrant III: The bottom left Quadrant is the third Quadrant denoted as Quadrant III. In this quadrant, both the x-axis and the y-axis have negative numbers.

Quadrant IV: The bottom right Quadrant is the fourth Quadrant denoted as Quadrant IV. In this quadrant, the x-axis has positive numbers and the y-axis has negative numbers.

1.The coordinate plane was created hundreds of years ago. The system is commonly referred to as the Cartesian coordinate system because French mathematician René Descartes invented it.

2.The points on the x-axis have their y-coordinate 0 so the points on x-axis are represented as (x,0) and similarly the points on y-axis have their x-coordinate 0, so they are represented as (0,y).

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Answer:

Definition - The plane containing the "x" axis and "y" axis.

Examples - (4,9), (24,90), etc

Facts - The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin.

Step-by-step explanation:

On solving the question, by the help of, Fundamental Theorem of Calculus, we got answer  [tex]3xe^x[/tex]

A theorem that connects the ideas of differentiating a function from integrating a function is known as the fundamental theorem of calculus. The two processes are inverses of one another, with the exception of a constant number that is dependent on the starting point for computing area.

When asked to compute the derivative of an integral, utilize the calculus fundamental theorem rather than evaluating the integral.

FTOC informs us that:

[tex]\frac{d}{dx} [\int\limits^{3x}_t {3lnt} \, dxt] = 3xe^x[/tex]

(That is, the integral's derivative returns the original function to us.)

We are required to locate:

h'(x) where h(x)= [tex]\int\limits^{3x}_t {3lnt} \, dxt= 3xe^x[/tex]

what we want

[tex]h'(x) = \frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x.............................A[/tex]

(Note that the first integral's upper limits are not in the proper format for the FTOC to be applied immediately.) The chain rule and a replacement can be used to alter the definite integral. Let:

[tex]u = e^x = \frac{du}{dx} = e^x[/tex]

Using the chain rule and substituting into the integral [A], we obtain:

[tex]\frac{d}{dx} [\int\limits^{ex}_t {3lnt} \, dxt] =[/tex][tex]\frac{d}{dx} [\int\limits^{u}_t {3lnt} \, dxt] = 3xe^x[/tex]

= [tex]e^x \frac{d}{du} [\int\limits^{ex}_t {3lnt} \, dxt] = 3xe^x[/tex]

now we got answer - [tex]3xe^x[/tex]

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Answer:

306

Step-by-step explanation:

The strongest correlation is represented by -0.97. It can be find out using knowledge of correlation coefficients.

What is the correlation coefficient between 1 and -1?

The formula returns a value between 1 and -1 :

where 1 indicates a strong positive relationship and -1 indicates a strong negative relationship.

According to the rule of correlation coefficients , the strongest correlation is considered when the value is closet to either (+1) or (-1).

So, in given options -0.97 is closet to (-1).

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If a researcher offers beer drinkers an extra incentive to recruit their friends who also drink beer to participate in the study, s/he is using a(n)  snowball sample.

What is snowball sampling?

Snowball sampling is a nonprobability sampling technique used in sociology and statistics research where current study participants recruit future study participants from among their acquaintances.

Thus, it can be said that the sample group is expanding like a snowball.

A non-probability sampling technique called "snowball sampling" enlists current research participants to assist in the recruitment of future study participants.

For instance, a researcher looking to understand leadership styles might ask people to list other influential people in their neighborhood.

Hence, if a researcher offers beer drinkers an extra incentive to recruit their friends who also drink beer to participate in the study, s/he is using a(n)  snowball sample.

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We take carry 1 if there is more then 9 when we are adding or subtracting in the regrouping 4 digit number.

Given that,

We have to find how do we regroup 4 digit numbers.

We know that,

When performing operations like subtraction and addition, regrouping is accomplished by creating groups of tens. Regrouping refers to rearranging integers into place value-based groupings to facilitate operations. Because you must rearrange the numbers into place value to complete the procedure, it is known as regrouping.

Addition with regrouping or addition with carryover refers to additions where the addends' digit sums exceed 9 in any of the columns. Finding the digit sum of two integers requires regrouping. Only the units place digit of the total is then written in the appropriate column.

        (1)  (1)

   3   1    9   5

+  6   2   3    7

--------------------

   9    4    3   2
Therefore, We take carry 1 if there is more then 9 when we are adding or subtracting in the regrouping 4 digit number.

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This question is related to the properties of similar figures. So, the true statements are

ΔBCD is similar to ΔBSR

BR/RD = BS/SC

BR * SC = RD * BS

Given that, RS is parallel to DC, so

∠BDC = ∠BRS (they are angles on the same side of transversal)

Similarly, we have

∠BCD = ∠BSR (they are angles on the same side of transversal)

∠CBD = ∠CBD (reflexive property)

ΔBCD ~ ΔBSR by Angle Angle Angle rule of congruency

ΔBCD ~ ΔBSR we therefore have,

BC/BS = BD/BR

(BS + SC)/ BS = (BR + RD) /BR

1 + SC/BS = 1 + RD/BR

SC/BS = RD/BR

Taking reciprocal on both sides, we have

BR/RD = BS/SC

From the above proven property, BR/RD = BS/SC

On cross multiplication, we get

BR * SC = RD * BS

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Metric tons of soil lost during its formation [tex]2.96*10^-7[/tex]

Gully is 2 meter deep 4 meter wide and 50 meters long.

So we know if Gully length = l width =w height =h

then volume of gully is l*b*h.

by same way volume of gully is 50*4*2 = 200 [tex]m^3[/tex]

Bulk density of this soil is 1.48 mg/m^3.

How many metric tons of soil lost during its formation?

1000kg = 1 metric ton.

density  = 1.48mg/m^3 = [tex]1.48*10^-6[/tex] kg/m^3

means for 1 m^3 volume we lost [tex]1.48*10^-6[/tex] kg of soil.

for 200m^3 volume we lost [tex]200*1.48*10^-6[/tex] kg of soil.

[tex]296*10^-6[/tex] kg of soil.

to convert kg into metric ton we have to divide 1000.

[tex]296*10^-6[/tex]/1000 = [tex]296*10^-9[/tex] = [tex]2.96*10^-7[/tex]

So  Metric tons of soil lost during its formation [tex]2.96*10^-7[/tex]

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The measure of the angle Q in degrees is 90° if angles Q and R form a right angle.

A right angle is defined as an angle that is exactly 90 degrees in geometry and trigonometry. If a ray is positioned so that its terminal is on a line and the angles are also equal, the angles are said to be at right angles. The phrase derives from the Latin angulus rectus, where rectus denotes the upright vertical line that is perpendicular to a horizontal base line.

Perpendicular lines—defined as lines that meet at right angles—and orthogonality—defined as the ability to intersect at right angles—are closely connected and crucial geometrical notions.

Q and R create a right angle given.

Therefore, the angle formed by either Q or R is 90 degrees.

Angle R is doubled by the given angle Q.

From there, Q must have an angle of 90 degrees.

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The simplified value of the expression is 23

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

To find the value:

- [ 4 - 3 (-2 + 5)²]

= - [ 4 - 3 (3)²]

= - [ 4 - 3*9]

= - [ 4 - 27]

= - [ -23]

= 23

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x is the independent variable in the linear equation  ax + by + c = 0

and y is the dependent variable in the linear equation.

Given, an independent variable in a linear function,

we have to define the independent and dependent variables.

Let suppose a linear equation be,

ax + by + c = 0

now, in the above linear equation,

by  = -ax - c

y = -(ax + c)/b

So, the value of variable x in the above linear equation, is independent and don't depend on any other variable whereas the value of variable y in the above linear equation, is dependent as it depends on the value of the variable x.

Therefore, x is the independent variable in the linear equation and y is the dependent variable in the linear equation.

The value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

Hence, the value of independent variables can be changed by us whereas the value of dependent variables changes on the basis of the value of independent variables.

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a) Null Hypothesis; p = 0.5

Alternative Hypothesis; p < 0.5

b) The test statistic is; z = 48.216

c) The p-value is  < 0.00001.

d) The conclusion of the hypotheses is that we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.

Hypothesis testing is defined as the method used to find the probability of the hypothesis that is to be proved in the future on the basis of the small population sample.

Now, we are told that Among ​20,111 responses, 67 ​% were​ "yes." Thus;

Sample proportion; p^ = 67%

The population proportion is not given and as such we will use; p = 50% = 0.5

Thus;

Null Hypothesis; p = 0.5

Alternative Hypothesis; p < 0.5

The formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

z = (0.67 - 0.5)/√(0.5(1 - 0.5)/20111)

z = 48.216

The p-value from online p-value from z-score calculator is;

p-value  < 0.00001.

The p-value is less than the significance value and so we reject the null hypothesis and conclude that the claim that most people believe that the Loch Ness monster exists is true.

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A. Since the employee used a Roth IRA, she will pay no taxes on her investment at retirement.

The Roth IRA is a type of individual retirement account (IRA) that allows the investor to contribute after-tax money to the account. This means that the investor pays taxes on the contributions upfront, but the investment grows tax-free and can be withdrawn tax-free at retirement. Therefore, the employee in this scenario will not have to pay any taxes on her initial investment of $1000.00 at retirement, regardless of her tax bracket at that time.

Answer:

she needs 24l red and 32l blue paint

Step-by-step explanation:

3:4 ratio with 56 liters of

Answer:

48

Step-by-step explanation:

0.8 * 60 = 48

The family  can spend 1 hour on the trampoline and 2 hours in the pool and the inequalities are 10t + 5p ≤ 25  and t + p < 4.

a ) Let the time on the trampolines  = t  

           10t + 5p ≤ 25

            t + p < 4

b )No, the family cannot  spend 1 hour in the trampoline and 3 hours in the pool.

c ) No, the family cannot  spend 2 hours in the trampoline and 1.5 hours in the pool.

         10t + 5p ≤ 25

         10(2)+ 5(1.5) = 27.5

d ) Yes, the  family  can spend 1 hour on the trampoline and 2 hours in the pool.

        10t + 5p ≤ 25

        10(1)+ 5(2) = 20

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The correct option among the given is option B , bias in OLS slope estimates caused by autocorrelation.

In the presence of autocorrelation, as in the case of heteroscedasticity, the OLS estimators are still linearly unbiased, consistent, and asymptotically normally distributed, but they are no longer efficient (i.e., minimum variance).

A dummy variable is a binary variable with a value of either 0 or 1. Such variables are added to a regression model to represent binary factors, which are either observed or not observed.

A dummy variable can be used to indicate whether a data point possesses a specific property. A dummy variable, for example, can be used to indicate whether a car engine is 'Standard' or 'Turbo.' Or whether a participant in a drug trial is in the placebo or treatment groups.

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The answer to the given question, assuming that all variables are implicit functions of time t, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.

An implicit function is a function which is defined by an implicit equation, written in terms of both dependent and independent variables. While an explicit function is a function which is represented in terms of an independent variable.

In this case, we have equation:

x^2 + 5y^2 + 2y = 75

We use the chain rule to bridge it:

2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0

Since x = 6; y = -3; and dx/dt = 14, then:

2x(dx/dt) + 10y(dy/dt) + 2(dy/dt) = 0

2*6*14 + 10*(-3)*(dy/dt) + 2*(dy/dt) = 0

168 + (-30)(dy/dt) + 2(dy/dt) = 0

168 - 28(dy/dt) = 0

28(dy/dt) = 168

dy/dt = 6

Hence, the indicated rate x^2 + 5y^2 + 2y = 75; dx/dt = 14 when x = 6 and y = -3 is dy/dt = 6.

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The scores of both test Solomon took are 14 for the first test and 4 for the second test.

let a represent the first score and b represent the second score.

since the average score is 18, you get (a + b) / 2 = 18

multiply both sides of this equation by 2 to get a + b = 36

the product of her scores is 56 means that a × b = 56.

you have 2 equations that need to be solved simultaneously.

they are a + b = 36 and a × b = 56

solve for a in the second equation to get a = 56 / b.

replace a with 56/ b in the first equation to get 56/ b + b = 18

multiply both sides of this equation by b to get 56 + b^2 = 18b

subtract 14b from both sides of this equation and arrange the terms in descending order of degree to get b^2 - 18b + 56 = 0

Factorise the quadratic equation to get the following:

(b-4 ) ( b - 14) = 0

Solve for b to get b = 4 and b = 14

Therefore, the product of the of the two scores:

= 14×4 = 56. This means that he scored 14 in first test and 4 in the second test.

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The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.

A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.

In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.

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Answer: 21

Step-by-step explanation: multiply 7 by 3, which = 21

The following list has six more terms than the preceding one. What does x+z equal if it is -10?

A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit with in sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.

t1=X\st2=y\st3=Z

t4=7\st5=13

common distinction Since d=6, t4=t3+d 7=t3+6 t3=7-6 t3=1=Z

Z=1\st3=t2+d

X + Z= (-11) + 1 X+Z = -10 because 1 = t2+6 t2= 1-6 t2= -5 = y y= -5 t2= t1+d -5= t1+6 t1= -5 -6 t1= -11 =X X = -11

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Answer:

20(-2x+5)

10(-4x+10)

Step-by-step explanation:

20(-2x+5) = -40x+100

10(-4x+10) = -40x+100

You just need to expand the brackets

Answer:1/12

Step-by-step explanation:

Answer: Unimodal and Right Skewed

Explanation:

When almost all the data is falls to the right of the graph's peak is known as a right skewed histogram.

A left skewed histogram would have almost all the data falling to the left of the graph's peak.

A histogram is described as uniform if every value in a dataset occurs roughly the same number of times. There are usually no peaks and the data set looks similar to a rectangle.

A Symmetric histogram would be symmetrical, both side of the peak of the graph are mirrored/completely identical.

I hope this helps to better understand :)