When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls, X is the number that reach a live person. Does X have a binomial distribution? Give your reason.

The corrected mean will be 17.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Helen took four tests, for which her mean score was 26.

Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.

Now,

Since, Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.

Hence, The correct mean = 26 - (51 - 15)/4

                                        = 26 - 36/4

                                        = 26 - 9

                                        = 17

Thus, The corrected mean will be 17.

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Therefore the answer to this question is the current price will  be $991.47

The amount of interest due each period is represented by an interest rate, which is expressed in relationship to the amount lent, deposited, or borrowed. How much money is lent or borrowed depends on the amount lent, the interest rate, the frequency of compounding, and the length of time that it is lent, deposited, or borrowed. much interest will be charged overall.

Here,

Given

n=6*2

i/y=7.5/2

pv=?

pmt=75/2

face value=1000

Annualized Interest Payment / Par Value of Bond * 100% =Coupon Rate

65/1000 * 100% =6.5%

and other coupon rate

75/1000*100%=7.5%

Therefore by calculating the given values we get the current price as $991.47

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The number of items 125 they will sell if the price per item is $3.50. They will sell 125 items if the price is $3.50.

In the given question, a manufacturing company finds that they can sell 275 items at $2.50 per item and 350 items at $2.00 per item.

If the relationship between the number of items sold i and the price per item p is a linear one then we have to find a formula that gives x in terms of p, x =

Now we have to use the formula to find the number of items they will sell if the price per item is $3.50. They will sell items if the price is $3.50.

Let’s find the slope using

m = {y(2)-y(1)}/{x(2)-x(1),

where

x(1) = 2.5      y(1)=275

x(2) = 2         y(2)=350

m = (350-275)/(2-2.5)

m = 75/(-0.5)

m = -150 is the slope

Point slope form to find the equation:

y - y1 = m(x-x1)

y - 275 = -150(x - 2.5)

y - 275 = -150x + 375

y = -150x + 275 + 375

y = -150x + 650,

But they want to have x = items sold and p = the price

So we have to write the equation where x is in terms of p

x = -150p + 650:

then use the formula to find the number of items they will sell if the price per item is $3.00.

x = -150(3.5) + 650

x = -525 + 650

x = 125 items sold when the price is $3.5

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Check the picture below.

Answer:

∠ U = 12°

Step-by-step explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U = [tex]\frac{1}{2}[/tex] ( RS - RT ) = [tex]\frac{1}{2}[/tex] × (84 - 60)° = [tex]\frac{1}{2}[/tex] × 24° = 12°

Answer:

5x³ - x - 3

Step-by-step explanation:

(f - g)(x) =

f(x) - g(x) =

5x³-2 - (x+1) =  ==> plug in known values

5x³-2 - x - 1 =   ==> simplify

5x³ - x - 2 - 1 = 5x³ - x - 3

f(x) = 5x³ - 2

g(x) = x + 1

Therefore, (f - g)(x) = (5x³ - 2) - (x + 1) = 5x³ - x - 3

So, (f - g)(x) = 5x³ - x - 3.

Answer:

15.161

Step-by-step explanation:

Answer:

31.922

Step-by-step explanation:

The Volume of the solid obtained by rotating the region bounded by the curves is 5 cm³.

Volume of a solid plain:

The volume of a solid is a measure of the space occupied by an object. It is measured by the number of unit cubes required to fill the solid.

Given in the question:

y = 2 - 1/2x

y = 0 , x = 1 and x = 2

As we know that:

[tex]\int\limits^2_1 {\pi (2 - \frac{1}{2}x - 0 })^2 \, dx[/tex]     ------------------------------ (1)

Simplifying,

      [tex]\pi \int\limits^2_1 {(2 - \frac{x}{2} )}^2 \, dx[/tex][tex]\pi \int\limits^2_1 {(4 - 2x + \frac{x^2}{4} )\, dx[/tex]

⇒ [tex]\pi \int\limits^2_1 {(4 - 2x + \frac{x^2}{4} )\, dx[/tex]

⇒ [tex]\pi [ 4x - x^2 + \frac{x^3}{12}]_1^2[/tex]

⇒ [tex]\pi [(8 - 4+ \frac{8}{12} ) - ( 4 - 1 + \frac{1}{12} )[/tex]

⇒ [tex]\pi (1 + \frac{7}{12})[/tex]

⇒ [tex]\frac{19\pi }{12}[/tex]

We can write 19π / 12 as

   (19× 22/7 )÷ 12

=  209/ 42

= 4.97 ≈ 5 cm³

Therefore, the volume is 5 cm³

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There are 364 positive variables and 5984 non - negative integers.

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). [1] A negative number is the additive reciprocal of the corresponding positive number. [2] In mathematics languages, sets of integers are often represented by a bold Z or blackboard bold . The integers form the smallest group and smallest ring containing the natural numbers. In algebraic number theory, integers are sometimes qualified as rational integers to distinguish them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that are also rational numbers.

Let us take each xi = a₁+1

x₁+x₂+x₃+x₄ = 35

∴a₁+a₂+a₃+a₄ = 31 ,where each ai is non-negative.

Now using the stars and bars method the answer is -

([tex]\left \{ {{31 + 4 - 1} \atop {4 - 1}} \right.[/tex]  = [tex]\left \{ {{34} \atop {3}} \right.[/tex]}

               = [tex]\frac{34!}{3! * (34 - 3)!}[/tex]

               = 5984

A particular solution of this equation corresponds to the placement of 3 addition signs in the 14 spaces between successive ones in a row of 15 ones.

Since, a particular solution of the equation corresponds to the placement of k−1 addition signs in the n−1 spaces between successive ones in a row of n ones, the number of solutions of the equation x₁ + x₂ + x₃ +⋯+xₐ=n in the positive integers is

[tex]\left \{ {{n - 1} \atop {k - 1}} \right.[/tex]}

For instance, placing an addition sign in the fourth, seventh, and twelfth spaces gives

                         1111+111+11111+111

which corresponds to the solution x₁ = 4, x₂ = 3, x₃ = 5, x₄ = 3.

Hence, the number of such solutions is the number of ways we can select which three of the 14 spaces between successive ones in a row of 15 ones will be filled with addition signs, which is

                                    [tex]\left \{ {{14} \atop {3}} \right.[/tex]}

                             = [tex]\frac{14!}{3! * (14 - 3)!}[/tex]

                             = 364

Therefore, there are 364 positive variables and 5984 non - negative integers.

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Answer: 210

Step-by-step explanation:

Answer: 210cm

Step-by-step explanation:

This is a parallelogram, the sides opposite of each other are congruent. So we can just add up all the sides 50+50+55+55=210cm.

The remaining credit after 63 minutes of calls is $19.92.

From the information illustrated, the remaining credit after 36 minutes of calls is $24.24, and the remaining credit after 55 minutes of calls is $21.20.

The rate will be:

= (24.24 - 21.20) / (55 - 36)

= 3.04 / 19

= 0.16

The remaining credit after 63 minutes of calls will be:

= $21.20 - ((63 - 55) × $0.16)

= $21.20 - $1.28

= $19.92

The credit is $19.92.

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f(5) = 7 is another to say a point at (5 , 7)

f(2) = 0 is another to say a point of (2 , 0)

to get the equation of any straight line, we simply need two points off of it, let's use those two above

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{5}}} \implies \cfrac{ -7 }{ -3 } \implies \cfrac{ 7 }{ 3 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ \cfrac{ 7 }{ 3 }}(x-\stackrel{x_1}{5}) \\\\\\ y-7=\cfrac{ 7 }{ 3 }x-\cfrac{ 35 }{ 3 }\implies y=\cfrac{ 7 }{ 3 }x-\cfrac{ 35 }{ 3 }+7\implies {\Large \begin{array}{llll} y=\cfrac{ 7 }{ 3 }x-\cfrac{14}{3} \end{array}}[/tex]

Answer: it should be C.

Step-by-step explanation: because its ascking to describe the formation.

The value of x is 56 and the value if the unknown angle is 106°

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line. The law of angle on a straight line states that the sum of angle on a straight line is 180°

This means that (2x-6)°+74= 180

(2x-6)°= 180-74

(2x-6)° = 106

add 6 to both sides

2x= 106+6

2x= 112

x= 112/2

x= 56

therefore the unknown angle = 2(56)-6 = 112-6= 106°

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The sample size must be more than 30 and the sample must be chosen at random for this confidence interval to hold true. The sample size in this example is 95, and the students were chosen at random, thus both of these requirements are satisfied.

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula for calculating percentages.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

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Our goal when we solve algebraic equations is always to isolate the variable. We can do this by performing inverse operations on the equation, cancelling out values.

[tex]96 = 10(x + 2) +6[/tex]

⇒ Subtract 6 from both sides:

[tex]90 = 10(x + 2)[/tex]

⇒ Divide both sides by 10:

[tex]9 = x + 2[/tex]

⇒ Subtract 2 from both sides:

[tex]x=7[/tex]

[tex]x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

all values greater than or equal to -11

Step-by-step explanation:

For a square root to be a real number, the value under the square root must be positive. Therefore, all values of x must ensure that the value under the square root remains positive.

Answer:

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

The square root is  defined when the expression under the root is not negative.

It is shown as:

The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.

So, the correct option is option ( C).

Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.

We have given that,

standard deviation of returns averages = 28%

options mature, t = 5 years and

Risk-free rate , R = 2.36 percent.

we have to calculate the value of e−Rt.

Exp(-Rt) = e⁻⁽²·³⁶⁾⁵

use exp(value) function to find the value :

=exp(-5 × 2.36%)

= exp(- 0.118 )

=0.8886

Hence, the the value of e⁻ᴿᵗ is 0.8886.

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Complete question:

I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?

a) .7087

b) .8476

c) .8886

d) .6087

e) .7952

Answer:

32

Step-by-step explanation:

Just plug in the numbers for [ d times e ]

The equation is then [ 10 x 3.2 = ? ]

The answer is 32

The value of the formula will be;

⇒ S = 180 (n - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Now,

Since, The algebraic expression is,

''The sum S of the measures of the angles of a polygon is equal to 180 times the difference of the number of sides n and 2.''

Hence, We can formulate the expression as;

⇒ S = 180 (n - 2)

Thus, The value of the formula is,

⇒ S = 180 (n - 2)

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Answer:

82.35

Step-by-step explanation:

91.5-(91.5*0.1)=

91.5-9.15=82.35

Answer:

Subtract 58388383 - 776463783

The angle measures in this problem are given as follows:

42. m < KMN = 101º.

43. m < M = 20º.

The angle measures are obtained considering that the sum of the measures of the internal angles of a triangle is of 180º.

Additionally, an angle is also supplementary with it's exterior angle, meaning that the sum of their measures is also of 180º.

Considering the missing angle as y, the equations for item 42 are given as follows:

Hence:

13x + 36 = 4x + 81

9x = 45

x = 5.

Then the measure of angle KMN is of:

m <KMN = 13 x 5 + 36 = 101º.

For problem 43, the triangles are similar, meaning that they have the same angle measures, which are given as follows:

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On solving the provided question, we got to know that he can bake 200/57 loaves or 3 29/57 loafs.

Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or

1 by 8

13 1/3 divided by 3 4/5

Let's first convert these mixed numbers to incorrect fractions.

13  1/3 =  13(3) + 1 = 39 + 1 = 40/3

3 4/5 = 3(5) + 4= 19/5

Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.

40/3 x 5/19 = 200/57

he can bake 200/57 loaves or 3 29/57 loafs.

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To find the distance between two cities on the map, we can use the formula provided in the question:

d = 250n

where d is the actual distance between the cities in miles, and n is the number of inches on the map. Since we are given that the actual distance between the two cities is 1,125 miles, we can substitute this value for d in the formula above to find the number of inches on the map:

1,125 = 250n

Solving for n, we get:

n = 1,125 / 250 = 4.5 inches

This means that the distance between the two cities on the map should be 4.5 inches, so the correct answer is (D) 4.5 inches.

By using proportionality theorem, the equation that expresses the statement is written as

1) T = kx

2) w = kyz

3) x = ks/t

4) A = kt²/y³

Proportionality

In math, a proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Given,

Here we have to find the equation that expresses the statement by using the k as the constant of proportionality.

Here we know that the value of the constant of proportionality is k.

Then the equation for the statement are,

1- T varies directly as x. And it can be written based on the constant proportionality,

=> T = kx

2- w is jointly proportional to y and z

Then the statement is written as,

=> w = k x y x z

=> w = kyz

3- x is proportional to s and inversely proportional to t.

Here we have to use the inverse proportional to write the statement,

=> x = k x s x 1/t

=> x = ks/t

4- A is proportional to the square of t and inversely proportional to the cube of y

Here first we have to take the square on t, then we get t² and then have to take cube on y, then we get y³,

then the equation is written as,

=> A = kt²/y³

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The number of bluebirds is 18.

The following equations can be determined from the question:

10 = c - r equation 1

b = 3r equation 2

Where:

Substitute for c in the first equation :

10 = 16 - r

r = 16 - 10

r = 6

Substitute for r in the second equation:

b = 6 x 3

b = 18

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The equation that describes the line that passes through (2, 1) and (0, -5) is: B. y = 3x - 5.

To find the equation of a line, find the value of the slope (m) and the y-intercept (b), and plug in the values into y = mx + b.

Given the points:

(2, 1) and (0, -5)

Slope (m) of the line = change in y / change in x = (-5 - 1) / (0 - 2)

Slope (m) = -6/-2

Slope (m) = 3

The y-intercept (b) = -5 (this is because it is the value of y when x = 0).

To write the equation, substitute m = 3 and b = -5 into y = mx + b:

y = 3x - 5

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Answer: anything between -3 and 3, inclusive (meaning-3 and 3 are answers)

Step-by-step explanation:

6≤-x+9≤12(-x is just x times 1)

Coverage Error results from the exclusion of certain groups of subjects from a population frame. The answer for the given statement is Coverage Error.

Coverage errors come from failure to cover sufficiently all components of the population being studied. Incomplete sampling frames usually result in coverage errors. Coverage errors happen because of the divergences between the target population and the frame.

Coverage error also may happen when not all members of the population of interest have an equal chance of being selected for the survey. For example, if we use e-mail lists or phone lists to build the sample and not all potential respondents are on those e-mail or phone lists.

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