Which figures are polygons select each correct answer

Answer: 1 in 2 chance

Step-by-step explanation:

The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)

In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.

The formula for NORM.INV function is:

= NORM.INV(1-A, mu, sigma)

where:

A is the right-tail probability (or area)

mu is the mean of the distribution

sigma is the standard deviation

The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.

Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.

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Answer:

Step-by-step explanation:

Part A

2x-3y =21 in slope-intercept form is y=2/3x-7 one you graph the equation it would be a parallel to the equation shown above so there are no intersections

PART B

y=1/3x^2 and y= 2/3x - 5

1/3x^2 = 2/3x-5

1/3x^2=2/3x-5

then u multiply everything by 3

1/3x^2*3 =2/3x *3-5*3

the three for 1/3*3 cancels out so you are left with

1x^2= 2x -15

1x^2-2x+15=0

You can not factor it and well i guess there is no intersection

im sorry if i got this wrong bc i had a similar question just different numbers and i tried to solve this one the way i sloved mine so im not sure of my answer for part b

Answer:13.8

Step-by-step explanation:

Answer:

m= month 12k - 3500= 950 she needs to save for 2 in a half months to get her car

Step-by-step explanation:

Answer:

29°

Step-by-step explanation:

\(In\: \triangle CDE\\\\

m\angle C + m\angle D + m\angle E = 180\degree \\\\

48\degree + 74\degree + m\angle E = 180\degree \\\\

122\degree + m\angle E = 180\degree \\\\

m\angle E = 180\degree- 122\degree \\\\

\huge \red {m\angle E = 58\degree} \\\\

\because \triangle ABC \cong \triangle DEC... (given) \\\\

\therefore \angle B \cong \angle E.. (CACT) \\\\

\therefore m\angle B = m\angle E\\\\

\therefore 2x = 58\degree \\\\

\therefore x =\frac{58\degree}{2}\\\\

\huge \orange {\boxed {\therefore x = 29\degree}}

\)

The probability that exactly 12 of them are strikes is 0.09.

In this question,

Number of pitches, n = 22

Probability of throwing a strike for each pitch, p = 0.431

Then, q = 1 - p

⇒ q = 1 - 0.431

⇒ q = 0.569

Number of strikes, x = 12

The probability that exactly 12 of them are strikes can be calculated using Binomial expansion,

\(P(X=x)=nC_xP^{x}q^{(n-x)}\)

⇒ \(P(X=12)=22C_{12}(0.431)^{12}(0.569)^{(22-12)}\)

⇒ \(P(X=12)=22C_{12}(0.431)^{12}(0.569)^{10}\)

⇒ \(P(X=12)=(\frac{22!}{12!10!} )(0.431)^{12}(0.569)^{10}\)

⇒ P(X=12) = (646646)(0.000041)(0.00355)

⇒ P(X=12) = 0.09431 ≈ 0.09

Hence we can conclude that the probability that exactly 12 of them are strikes is 0.09.

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Grace can use the fraction 3 / 5 of the distance from point A and 2 / 5 of the distance from point B to determine the x coordinate of point C.

Herein we find the case of a point partitioning a line segment by observing a given ratio. The equation that observes this fraction is shown below:

AC / BC = 2 / 3

AC / AB = 2 / 5

Vectorially speaking, this is equivalent to the following equation:

C(x, y) - A(x, y) = (2 / 5) · [B(x, y) - A(x, y)]

C(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

If we know that A(x, y) = (3, 2) and B(x, y) = (6, 11), then the coordinates of point C are, respectively:

C(x, y) = (3 / 5) · (3, 2) + (2 / 5) · (6, 11)

C(x, y) = (9 / 5, 6 / 5) + (12 / 5, 22 / 5)

C(x, y) = (21 / 5, 28 / 5)

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Answer:

V=\(\frac{28\pi }{3}\)

Step-by-step explanation:

Plug and chug into the formula, your radius is 2ft, and your height is 7ft.

\(V=\pi*2^{2} *\frac{7}{3}\)

V=\(\frac{28\pi }{3}\) or 29.30 if \(\pi =3.14\)

Answer:

C≈25.13ft

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for C

C=πd=π·8≈25.13274ft

The total area under the frequency polygon for a continuous random variable equals 1 is True.

A frequency polygon is very similar to a histogram, which is used to compare data sets or to depict a cumulative frequency distribution. A line graph is used to show quantitative data.

Statistics is concerned with the collecting of facts and information for a certain goal. The computation of each run for each ball in cricket provides game statistics. Tables, graphs, pie charts, bar graphs, histograms, polygons, and other graphical representations of statistical data are employed.

Frequency polygons are a visually appealing way of expressing quantitative data and frequency distributions. Let's look at how to draw a frequency polygon.

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If the RMS value of the sinusoidal input to a full wave rectifier is Vo / (2)^(1/2) then the RMS value of the rectifier’s output is  \(Vo * (2)^(1/2) / 2.\)

Full wave rectifier length = Vo / (2)^(1/2)

The peak value of the output voltage = Vo.

For a full-wave rectifier, the outcome voltage is the whole value of the input voltage.

The RMS value of a sinusoidal waveform can be calculated using the formula:

Vrms = Vp / \((2)^(1/2)\)

Vrms = Vo / \((2)^(1/2)\)

To simplify this equation, we can multiply both the numerator and the denominator by (2)^(1/2):

\(Vrms = (Vo / (2)^(1/2)) * ((2)^(1/2)/(2)^(1/2))\)

\(Vrms = Vo * (2)^(1/2) / 2\)

Therefore, we can conclude that the RMS value of the rectifier's output is \(Vo * (2)^(1/2) / 2.\)

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If the semi-annual rate is 0.5%, then the Annual Percentage Rate is 0.0001%.

To find the Annual Percentage Rate (APR), we need to double the semiannual rate since there are two semiannual periods in a year.

So, the APR would be 1% (0.5% * 2).

2. To find the Effective Annual Rate (EAR), we can use the formula:

\(EAR = (1 + r/n)^n - 1\)

where r is the nominal interest rate and n is the number of compounding periods per year.

In this case, the nominal interest rate (r) is 0.5% and the compounding periods per year (n) is 2 (since it's a semiannual rate).

Plugging in these values into the formula:

EAR = (1 + 0.005/2)^2 - 1

EAR = (1.0025)^2 - 1

EAR = 1.005025 - 1

EAR = 0.005025

Therefore, the EAR (rounded to 6 decimal points) is 0.005025.

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Answer:

13.7%

Step-by-step explanation:

Percentage decrease = (3.65 - 3.15) / 3.65 * 100% = 13.7%

Answer:

\(y = 3(7)^x\)

Step-by-step explanation:

Given

\((x_1,y_1) = (0,3)\)

\((x_2,y_2) = (4,7203)\)

Required

Determine an exponential function

Substitute 0 for x and 3 for y in \(y=ab^x\)

\(3 = ab^0\)

\(3 = a*1\)

\(3 = a\)

\(a = 3\)

Substitute 4 for x and 7203 for y in \(y=ab^x\)

\(7203= ab^4\)

Substitute 3 for a

\(7203= 3*b^4\)

Divide both sides by 3

\(2401= b^4\)

Take 4th root of both sides

\(\sqrt[4]{2401} = b\)

\(7 = b\)

\(b = 7\)

Substitute 3 for a and 7 for b in \(y=ab^x\)

\(y = 3(7)^x\)

The vectors are:

To find the vectors:

Use the graph to solve the problem:

We can add and subtract the vectors:

-To find b - a subtract a from b:

2a means multiply vector a by 2:

Now let's find the resulting vector 2a - b.

- Subtract b from 2a:

The resulting vector 2a - b is <8, -9>

Therefore, the vectors are:

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The complete question is given below:

The graph shows vectors a and b the resulting vector for b - a is blank, blank >, and the resulting vector for 2a -b is < blank, blank >.

The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.

Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.

The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

Considering that,

We need to find for the peripheral income capability, find the interest capability.

Recollect that the pay is zero assuming no things are sold:

R'(x) = 0.06x² - 0.05x + 138

p(x) is what.

That's what we know,

MR = dTR/dx = 0.06x² - 0.05x + 138

Incorporating the marginal revenue function , we get complete income capability,

MR = TR

= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x

= (0.06x³)/3 - (0.05x²)/2 + 138 x

TR = 0.02 x³ - 0.025 x² + 138 x

TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x

P = ( 0.02 x³ - 0.025 x² + 138 x)/x

P = 0.02x² - 0.025x + 138

In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .

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On the first day, Joe eats a portion of the cake. On the second day, he eats a portion of the remaining cake. To determine the fraction of the whole cake left on the third day, we need to calculate the remaining portion after the second day.

Let's assume that Joe starts with a whole cake, which is equal to 1. On the first day, he eats a fraction of the cake, let's say x. So, the amount of cake left after the first day is (1 - x). On the second day, Joe eats a fraction of the remaining cake, which is (1 - x). Let's call this fraction y. Therefore, the amount of cake left after the second day is (1 - x) * (1 - y). To find the fraction of the whole cake left on the third day, we need to subtract the amount of cake Joe ate on the third day from the amount left after the second day. Since we don't have information about how much Joe ate on the third day, we cannot determine the exact fraction of cake left on the third day.

In conclusion, without knowing the fraction of cake Joe eats on the third day, we cannot calculate the fraction of a whole cake left for Joe to eat on the third day.

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when you divide 6/13 by 6/12 you should be getting 12/13

step by step :

take the reciprocal ( flipping the numerator and denominator ) of the second fraction and changing the division sign to multiplication :

6/13 × 12/6

the next step is to multiply the numerator and denominator

6 × 12 / 13 × 6 = 72/78

the fraction can be reduced by dividing numerator and denominator by greatest common factor of 72 and 78

here the greatest common factor will be 6

72 ÷ 6 / 78 ÷ 6

you should get 12 / 13 as an answer

so that's it :)

hope this helped !

The equation of the line is  f(X)=(-1/6)x—(19/6)

What is equation?

In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

first linear functions have their general form as y= mx + c, where y belongs to the range and X belongs to the domain, m is the slope, and c is the y-intercept.

So using f(x) =y

Given that f(—5)=-4 , X=—5 and y=-4, hence by substituting into the general eqn y= mx+c, You get

-4= -5m+c ------(1)

Also given that f(1)=—3, X=1 and y=—3, hence by substituting into the general eqn y= mx+c, You get

-3= m+c --—-(2)

Solve equation (1) and (2), simultaneously to find the value of m and c. After which you will substitute into y=mx+c or f(X)=mx+c to get your f(X).

Note: you will get m=—1/6 and c=-19/6, from the simultaneous equations.

Hence f(X)=(-1/6)x—(19/6) and correct option is D.

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Based on the current real and the full employment real GDP, Rayton's economy is at a Recession stage.

The current budget balance in Rayton is -$1,000. The budget can be balanced by reducing government spending or increasing taxes. Both of these would decrease real GDP.

The fact that the current real GDP is less than the full employment GDP shows that the nation is at a recession stage where it is underperforming.

This can be found as:

= Government revenue(taxes) - government spending

= 3,000 - 1,000 - 3,000

= -$4,000

In order to make a balanced budget where government revenue will equal government spending, the government either needs to reduce spending or increase revenue ( taxes ).

Increasing taxes or reducing spending, will lead to less money available for spending in the economy which will lead to a decrease in real GDP.

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The function \(f(x)=\left[\begin{array}{ccc}x\\5\end{array}\right]\) satisfies the 5 to 1 rule.

The given function is {1,2,...,50}→{1,2,...,10}

One function that satisfies the 5 to 1 rule is the function f(x) = Floor(x/5) + 1. In this function, for every multiple of 5 from 5 to 50 (5, 10, 15, ..., 55), f(x) will return the value 2. For all other values of x (1, 2, 3, 4, 6, 7, ..., 49, 50), f(x) will return the value 1. This is an example of an integer division function that satisfies the 5 to 1 rule.

In detail, if x = 5m for any positive integer m, f(x) will return the value 2, since integer division of 5m by 5 yields m as the result. Similarly, for any number x such that x is not a multiple of 5, f(x) will still return the value 1, since the result of integer division of x by 5 produces a decimal number which, when rounded down to the nearest integer, yields 0.

Therefore, the function \(f(x)=\left[\begin{array}{ccc}x\\5\end{array}\right]\) satisfies the 5 to 1 rule.

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We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.

Alejandro's age is given as follows:

17 years old.

Alejandro's age is obtained solving a system of equations, considering it's age as x.

Double his age is given as follows:

2x.

Eight more than double is given as follows:

2x + 8.

Wilfredo's age is of 42, hence the value of x is given as follows:

2x + 8 = 42

2x = 34

x = 17.

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Answer:

1

Step-by-step explanation:

Answer:

y approches positive infinity

The transformation of function and their algebraic representation are shown below:

From it we notice that to reflect the function about the y-axis we need to change the sign of the variable, then we have:

Therefore, the expression of g is:

Answer:

The height of the candle after 23 hours is 20.4 centimeters

Step-by-step explanation:

Mathematical Modeling

To model a real-life situation, a mathematical model can be built in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the height of a candle as a linear function of the time it has been burning. If the time is expressed in hours and the height is in centimeters, then the linear function can be written as:

\(H(t)=mt+b\)

Where m and b are constants we need to find. We are provided two points of reference: After 15 hours of burning, the candle has a height of 22 centimeters. This is the point (15,22).

We also know after 27 hours of burning, the height is 19.6 cm. This is the point (27,19.6). This data is enough to accurately define the function. Let's substitute the first point:

\(22=15m+b\qquad\qquad [1]\)

Substituting the second point:

\(19.6=27m+b\qquad\qquad [2]\)

Subtracting [1] - [2]:

\(22-19.6=15m-27m\)

\(\Rightarrow 12m=-2.4\)

Solving for m:

\(m=-2.4/12=-0.2\)

Using this value in [1]:

\(22=15(-0.2)+b\)

\(22=-3+b\)

Solving for b:

b=25

The function is now complete:

\(H(t)=-0.2t+25\)

Finally, substitute t=23:

\(H(23)=-0.2(23)+25=20.4\)

The height of the candle after 23 hours is 20.4 centimeters

Answer:

Pythagorean Theorem = a^2 + b^2= c^2

Step-by-step explanation:

(3)^2+ (4)^2 = C

3^2= 9

4^2= 16

9+16=25

(2 legs no hypotenuse)

9^2+ b^2=7^2

9^2 = 81

7^2= 49

81-49= 32

(you have to sqaure root it because the oppsite of sqaured is sqaured root)

32 squared = 5.657

and rounded is 5.7

Answer:

The house would be worth £89989.12 in January 2015.

Step-by-step explanation:

With respect to the optimistic forecast, the value of the house will increase by 4% per year.

For the first year (January 2012 to January 2013),

4% of £80000 = 0.04 x £80000

                      = £3200

The cost of the house = £80,000 + £3200

                                     = £83200

For the second year (January 2013 to January 2014), we have;

4% of £83200 = 0.04 x £83200

                        = £3328

The cost of the house = £83200 + £3328

                                    = £86528

For the third year (January 2014 to January 2015), we have;

4% of £86528 = 0.04 x £86528

                        = £3461.12

The cost of the house = £86528 + £3461.12

                                     = £89989.12

According to the forecast, the house would be worth £89989.12 in January 2015.

To reach the break-even point, the publisher should sell 40,000 books.

A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.

On the other hand, total cost is calculated as:

Total cost = fixed cost + variable cost

Where variable cost depends on the number of units produced.

Therefore,

Total cost = fixed cost + number of unit produced x cost per unit

Parameters given in the problem:

fixed cost = h. 400,000

unit cost = h. 35

selling price = h.45 per unit

Let p be the number of books sold. Then,

Revenues = 45 x p

Total cost = 400,000 + 35 x p

At break-even point:

Revenues = total cost

45 x p = 400,000 + 35 x p

10 p = 400,000

p = 40,000

Hence, the break-even point is 40,000 books

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