Tables A telephone exchange operator assumes that 8%8% of the phone calls are wrong numbers. If the operator is correct, what is the probability that the proportion of wrong numbers in a sample of 535535 phone calls would differ from the population proportion by more than 3%3%

9514 1404 393

Answer:

  19 years

Step-by-step explanation:

The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...

  A = P(1 +r/n)^(nt)

Solving for t, we get ...

  t = log(A/P)/(n·log(1 +r/n))

Using the given values, we find t to be ...

  t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000

The investment will be worth $213,022 after 19 years.

The exponential function that models the number of trees after t years is given by:

[tex]A(t) = 800\left(\frac{3}{4}\right)^t[/tex]

Hence, after 2 years, 450 trees will be remaining, as the graph at the end of this answer shows.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Then, the equation is:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 800(1 - \frac{1}{4})^t[/tex]

[tex]A(t) = 800\left(\frac{3}{4}\right)^t[/tex]

After 2 years:

[tex]A(2) = 800\left(\frac{3}{4}\right)^2 = 450[/tex]

450 trees will be remaining.

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Answer:

6

Step-by-step explanation:

the | | are for absolute value, which means

|-6|=|6|= 6

Answer: D

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

it is between 0 and 1

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer:

k = 3

Step-by-step explanation:

If the points lie on the same line then the slope between the points will be equal.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 3, 16)

m = [tex]\frac{16-4}{-3-1}[/tex] = [tex]\frac{12}{-4}[/tex] = - 3

Repeat the process and equate to - 3

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (k, - 2)

m = [tex]\frac{-2-4}{k-1}[/tex] = [tex]\frac{-6}{k-1}[/tex] , then

[tex]\frac{-6}{k-1}[/tex] = - 3 ( multiply both sides by k - 1 )

- 6 = - 3(k - 1) ← divide both sides by - 3

2 = k - 1 ( add 1 to both sides )

3 = k

Answer:

[tex] \bar x = \frac{ \sum x}{n} \\ \\ \bar x = \frac{31353}{100} \\ \\ \bar x = 313.53[/tex]

Answer:

Hello,

Step-by-step explanation:

[tex]n=100\\\\\displaystyle \sum_{i=1}^{100}x_i=31.353\\\\\\\overline{x}=\dfrac{\displaystyle \sum_{i=1}^{100}x_i}{n} =\dfrac{31.353}{100} =\boxed{0.31353}\\\\[/tex]

Answer:

4cm

Step-by-step explanation:

Each side of the square = 1cm

Perimeter of a square = 4xside

= 4x1 = 4

Answer From Gauth Math

Answer:

Given function:

A. The domain is all positive integers (number of people can't be negative), so as the range.

B. x = 19.2

C. f(x) = 655432

D. x = 7530

Answer:

Yes!

Step-by-step explanation:

Since it has four sides and has parallel sets of lines on each side.

Answer:

All Equal to 0

Step-by-step explanation:

0 = 0

3 - 3 = 0

0/4 = 0

12 - 3*4 = 0

Step-by-step explanation:

let , MP =x

then,

discount amount =D% of MP

= (20/100)× x

= 0.2x

now,Sp without VAT = MP-D

=x - 0.2x

= 0.8x

NoW, SP with VAT = Sp without VAT+ VAT %of SP

or ,6328 = 0.8x + 13% of 0.8x

or, 6328 = 0.8x + (13/100) × 0.8x

or, 6328= 0.8x + 0.104x

or,. 6328= 0.904x

or, X= 6328/0.904

X= 7000 Rs.

Hence ,MP is Rs.7000

Answer:

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}x_{1} &x_{2} &x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex]  ---------> [tex]\left[\begin{array}{ccc}-x_{1} &-x_{2} &-x_{3} \\y_{1} &y_{2} &y_{3} \end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\end{array}\right][/tex]

Answer:

80 Questions

Step-by-step explanation:

First 20/32

then 3/4 questions wrong

so let's say he got there were 48 remaining questions

then he would have 36 wrong and and 12 correct

therefore it would be..

20 + 12/32 + 48

32/80

__________________________________________

so let's check the answer

it says he got 40%

so let's do 32/80

= 0.4

to convert it into percentage times by 100

= 0.4 x 100

= 40%

Answer:

There are [tex]80[/tex] questions on this exam.

Step-by-step explanation:

Let [tex]x[/tex] denote the number of questions on this exam in total (including the first [tex]32[/tex] questions.)

There would be [tex](x - 32)[/tex] questions after the first [tex]32[/tex].

Since the student got three-quarters of these wrong, only one-quarter ([tex]1 - (3/4) = (1/4)[/tex]) of these [tex](x - 32)[/tex] questions are correct. That would be another [tex](1/4) \cdot (x - 32)[/tex] right answers.

In total, the number of questions that the student got correct would be:

[tex]\begin{aligned} & 20 + \frac{1}{4} \cdot (x - 32) \\ =\; & 20 + \frac{x}{4} - 8 \\ =\; & 12 + \frac{x}{4}\end{aligned}[/tex].

On the other hand, it is given that the student got [tex]40\%[/tex] of the [tex]x[/tex] questions right. Hence, the number of correct answers may also be expressed as:

[tex]\begin{aligned} & (40\%) \, x\\ =\; & \frac{2\, x}{5} \end{aligned}[/tex].

Both expressions give the number of correct answers. Equate the two expressions and solve for [tex]x[/tex]:

[tex]\displaystyle 12 + \frac{x}{4} = \frac{2\, x}{5}[/tex].

[tex]\displaystyle \left(\frac{2}{5} - \frac{1}{4}\right)\, x = 12[/tex].

[tex]\displaystyle \frac{8 - 5}{20}\, x = 12[/tex].

[tex]\displaystyle \frac{3}{20}\, x = 12[/tex].

[tex]\begin{aligned} x &= 12 \times \frac{20}{3} \\ &= 80\end{aligned}[/tex].

In other words, there are [tex]80[/tex] questions on this exam in total.

Answer:

-4?

hope dis helps ^-^

Answer:

A graph is below.

Step-by-step explanation:

Answer:

Choice A.

[tex]2 {x}^{ \frac{2}{5} } \times y ^{ \frac{2}{3} } [/tex]

Answer:

A computer parts company wants to make a rectangular memory board that has a perimeter of 28 centimeters and a diagonal length of 10 centimeters. Find the dimensions of the board. Consider the length to be the longer side.: Call the two sides L & W: the perimeter 2L + 2W = 28 Simplify, divide by 2 L + W = 14 L = (14-W); use this form for substitution

Step-by-step explanation:

==========================================================

Explanation:

x = width

y = length

both x and y are positive real numbers, and the units of which are in cm.

The perimeter of any rectangle is found by saying

P = 2*(length+width)

P = 2*(x+y)

Plugging in P = 14 leads us to

P = 2*(x+y)

14 = 2*(x+y)

14/2 = x+y

7 = x+y

Solve for one of the variables. Let's say we solve for y. That should get us y = 7-x which we'll use a bit later.

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

Notice how the diagonal forms two identical right triangles. The legs of which are x and y as defined earlier. The hypotenuse is 5, which is the diagonal length.

Use the pythagorean theorem to help solve for x

a^2 + b^2 = c^2

x^2 + y^2 = 5^2

x^2 + (7-x)^2 = 25 ... plug in y = 7-x

x^2 + 49 - 14x + x^2 = 25 ... use FOIL rule

2x^2-14x+49 = 25

2x^2-14x+49-25 = 0

2x^2-14x+24 = 0

2(x^2-7x+12) = 0

x^2-7x+12 = 0

(x-3)(x-4) = 0

x-3 = 0 or x-4 = 0

x = 3 or x = 4

If x = 3, then y = 7-x = 7-3 = 4

If x = 4, then y = 7-x = 7-4 = 3

We have this symmetry going on. If x is one of 3 or 4, then y is the other of those values. Because x = 3 and y = 4, or vice versa, this means we have a 3-4-5 right triangle (well to be fair we have two identical copies of such a triangle to form the rectangle).

Therefore, the dimensions of the rectangular board is 3 cm by 4 cm. The order doesn't matter so you could easily say "4 cm by 3 cm" to mean the same thing.

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

Check:

P = perimeter

P = 2*(length+width)

P = 2*(x+y)

P = 2*(3+4)

P = 2*7

P = 14

That helps confirm the answer.

Answer:

an = an-1 *7

a1 = -3

Step-by-step explanation:

We are multiplying by 7 each time

-3*7 = -21

-21 *7 = -147

The formula for a geometric sequence is

an = a1 * (r)^(n-1)  where r is the common ratio and n is the term number

an = -3 ( 7) ^(n-1)

The recursive formula is

an = an-1 * r

an = an-1 *7

a1 = -3

Answer:

Step-by-step explanation:

common ratio = 7

nth term = ((n-1)th term)×7 = a₁×7ⁿ⁻¹

Answer:

Non-probability sampling: In non-probability sampling, the researcher chooses members for research at random. This sampling method is not a fixed or predefined selection process. This makes it difficult for all elements of a population to have equal opportunities to be included in a sample.

Step-by-step explanation:

Uses of non-probability sampling

Non-probability sampling is used for the following:

Create a hypothesis: Researchers use the non-probability sampling method to create an assumption when limited to no prior information is available. This method helps with the immediate return of data and builds a base for further research.

Exploratory research: Researchers use this sampling technique widely when conducting qualitative research, pilot studies, or exploratory research.

Budget and time constraints: The non-probability method when there are budget and time constraints, and some preliminary data must be collected. Since the survey design is not rigid, it is easier to pick respondents at random and have them take the survey or questionnaire.

How do you decide on the type of sampling to use?

For any research, it is essential to choose a sampling method accurately to meet the goals of your study. The effectiveness of your sampling relies on various factors. Here are some steps expert researchers follow to decide the best sampling method.

Jot down the research goals. Generally, it must be a combination of cost, precision, or accuracy.

Identify the effective sampling techniques that might potentially achieve the research goals.

Test each of these methods and examine whether they help in achieving your goal.

Select the method that works best for the research.

Select your respondents

Difference between probability sampling and non-probability sampling methods

We have looked at the different types of sampling methods above and their subtypes. To encapsulate the whole discussion, though, the significant differences between probability sampling methods and non-probability sampling methods are as below:

Probability Sampling Methods Non-Probability Sampling Methods

Definition Probability Sampling is a sampling technique in which samples from a larger population are chosen using a method based on the theory of probability. Non-probability sampling is a sampling technique in which the researcher selects samples based on the researcher’s subjective judgment rather than random selection.

Alternatively Known as Random sampling method. Non-random sampling method

Population selection The population is selected randomly. The population is selected arbitrarily.

Nature The research is conclusive. The research is exploratory.

Sample Since there is a method for deciding the sample, the population demographics are conclusively represented. Since the sampling method is arbitrary, the population demographics representation is almost always skewed.

Time Taken Takes longer to conduct since the research design defines the selection parameters before the market research study begins. This type of sampling method is quick since neither the sample or selection criteria of the sample are undefined.

Results This type of sampling is entirely unbiased and hence the results are unbiased too and conclusive. This type of sampling is entirely biased and hence the results are biased too, rendering the research speculative.

Hypothesis In probability sampling, there is an underlying hypothesis before the study begins and the objective of this method is to prove the hypothesis. In non-probability sampling, the hypothesis is derived after conducting the research study.

Answer:

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is  ✔ correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is  ✔ incorrect— “25 percent” should replace “$25 billion.”

EDGE2021

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.

The E-commerce revenue refers to the revenue collected from buying & sales of goods or services via the internet,

Now for the first statement,

We see that

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday = 0.33

Total is 1.00

Therefore 0.33 is the 1/3 portion of total.

Hence, it is contributing one-third of the total 2018 e-commerce revenue.

Hence, statement one is correct.

For second statement,

Of 2016’s e-commerce revenue, $25 billion came on Black Friday.

⇒its 25 percent of the total e-commerce revenue.

Hence, statement two is incorrect.

Therefore,

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.

Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.

More about e-commerce sales :

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Answer:

2p + 30 = 80

p=25

Step-by-step explanation:

he earns $2 for each pizza, so we get 2p.

Because he earns an extra 30 for the day, we add that to 2p and set it equal to 80

2p+30=80

subtract 30 on both sides

2p=50

Divide by 2 on both sides to find the number of pizzas

2p/2=50/2

So

p=25

9514 1404 393

Answer:

  a. 5/10

  b. 2.5/10

  c. 1/10

  d. 4/10

Step-by-step explanation:

To find the numerator, multiply each fraction by 10.

  a. (1/2)(10) = 5, so 1/2 = 5/10

  b. (1/4)(10) = 2.5, so 1/4 = (2.5)/10 or (5/2)/10

  c. (3/30)(10) = 1, so 3/30 = 1/10

  d. (12/30)(10) = 4, so 12/30 = 4/10

Step-by-step explanation:

here is the answer hope it helps

The solution is 4ln3 - 3ln5, which is correct option(C).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmatic operation are called arithmatic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln81/125

⇒ ln81 - ln125   [used property : logₐ(x/y) = logₐx - logₐy]

⇒ ln3⁴ - ln5³    [ 81 =3⁴ and 125 = 5³ ]

⇒ 4ln3 - 3ln5   [used property : logₐ(xⁿ) = nlogₐx]

Hence, the solution is 4ln3 - 3ln5

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Answer:

7.2kg of flour

Step-by-step explanation:

Total weight of bread = 10 x 750g

                                    = 7500g = 7.5kg

500g of bread = 480g of flour

0.5kg of bread = 0.48kg of flour

7.5kg of bread = 7.2kg of flour

Step-by-step explanation:

I think this might be the correct answer

The number of pupils that like neither tasty-time nor ice cream is 6 if in a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty times.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

We have:

In a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty time.

Total = 70 pupils

Number of like tasty time = 36

Number of like ice cream = 34

Number of like both = 6

Let x be the total number of pupils that like neither tasty-time nor ice cream

The number of pupils that like ice cream only =  34 - 6 = 28

The number of pupils that like tasty-time only = 36 - 6 = 30

From the Venn diagram:

28 + 30 + 6 + x = 70

x = 70 - 64

x = 6

Thus, the number of pupils that like neither tasty-time nor ice cream is 6 if in a class of 70 pupils, 36 like tasty time, 34 like ice cream, 6 like both tasty times.

Learn more about the Venn diagram here:

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x-intercepts —> (2,0) , (–5,0)

y=(x-2)(x+5)

x-2=0—> x=2 —> (2,0)

x+5=0—> x=–5 —> (–5,0)

I hope I helped you ^_^

x-intercepts —> (2,0) , (–5,0)

y=(x-2)(x+5)

x-2=0—> x=2 —> (2,0)

x+5=0—> x=–5 —> (–5,0)

I hope I helped you ^_^

Answer:

36/39

Step-by-step explanation:

Cos(theta) = Base/Hypotenuse

Cos(X) = 36/39