When you are testing hypotheses by using proportions, what are the necessary requirements? OA. np 25 and nq 25 ?B.np < 5 and nq < 5 C. The population standard deviation is unknown. D. p

Answer:

Step-by-step explanation:

Well, it seems like you're adding 5 each time so
45.7
46.2
46.7
47.7
48.2
48.7

The correlation of the rates of return between x and y is the closest to = 0.4

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It's a common tool for describing simple relationships without making a statement about cause and effect.

Calculation for the correlation of the returns,

Using this formula,

Covariance of the returns = Correlation coefficient between the returns*Stock returns standard deviation*Mod T Stock returns standard deviation

The sample standard deviations of the rates of return for stock x and stock y were 0.20 and 0.12

The sample covariance between the returns of x and y is 0.0096.

Let plug in the formula

Covariance of the returns = Correlation * (0.20) * (0.12)

0.0096 = Correlation * (0.20) * (0.12)

0.0096 = Correlation * 0.024

0.0096 / 0.024 = Correlation

0.4 = Correlation

Correlation = 0.4

Therefore,

The correlation of the rates of return between x and y is the closest = 0.4

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Answer:

The number of degrees Celsius goes down 6 every week. (-6)

Step-by-step explanation:

If the city's temperature changed the same every week, and over the period of 2 weeks it changed -12 degrees Celsius, we need to figure out how much it changed every week (c). We can do this by dividing the number of weeks (w), by the total number of Celsius it changed (t).

The equation will look something like this:

w ÷ t = c

Fitting the numbers into this equation will look something like this:

2 ÷ -12 = -6

Every week, it changed -6 degrees Celsius.

Simplifying the expression, every week it changed -6 degrees Celsius. We know this because the temperature changes the same amount every week. So if the total amount is -12, we have to divide that by 2 to get -6.

Answer:

Diana has 40 books in her collection.

Step-by-step explanation:

We can set up the equation 4x + x = 200 to represent the total number of books in the collection, where x is the number of books in Diana's collection and 4x is the number of books in Teri's collection. Solving for x, we get 5x = 200, so x = 40. This means that Diana has 40 books in her collection.

Answer:

Teri has 160 books

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

2x + 2 + 5x + 3 = 180

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25°

Answer:

Step-by-step explanation:

Given the conditional statement ~p → q, the statement logically equivalent is ~q → p.

Answer:

show the whole question

Step-by-step explanation:

Confidence interval for the mean score of all students is (91.679, 98.321)

Given:

Sample mean = 95

Standard deviation = 6.6

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

We have to construct a 99% confidence interval for the mean score of all the students.

Sample Standard Error =

[tex]\frac{Standard Deviation}{\sqrt{n} } \\= \frac{6.6}{\sqrt{30} }[/tex]

= 1.205

t-value for the 99% confidence interval = 2.756

(use the t-tables for this)

Margin of error = 2.756 x 1.205 = 3.321

If you are asked to report the confidence interval, you should include the upper and lower bounds of the confidence interval.

So, for the 99% confidence interval:

(95 - 3.321, 95 + 3.321) = (91.679, 98.321)

This is the final confidence interval.

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The value of [x] is equivalent to 9.72 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

The triangle similarity criteria are:

Given is a triangle as shown in the image.

The smaller triangle and the larger triangle are similar to each other. So, we can write -

3x - 4 = 10x - 72

- 4 + 72 = 10x - 3x

68 = 7x

x = 68/7

x = 9.72 units

Therefore, the value of [x] is equivalent to 9.72 units.

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The binary representation of each of these hexadecimal numbers is given as follows:

a) 80E = 100000001110

b) 135AB = 00010011010110101011

c) ABBA = 1010101110111010

d) DEFACED = 1101111011111010110011101101

To convert a number from hexadecimal to binary, each hexadecimal character is converted to it's respective four bit binary code, given as follows:

Then, for example:

80E hexadecimal = 100000001110.

As:

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The expression which represents the nth term of the given sequence, in terms of n as required in the task content is; T (n) = 1 + 7(n - 1).

It follows from the task content that the expression which represents the nth term of the given sequence, in terms of variable, n be determined.

According to the task content, the first term, a of the sequence is; 1.

Also, since; 8 - 1 = 15 - 8 = 22 - 15 = 29 - 22 = Common difference, d = 7.

Consequently, the required expression is an arithmetic sequence which can be modelled by;

T (n) = a + d (n - 1)

Since the constant common difference of consecutive terms in the sequence is; 7,

Therefore, the expression for the nth term of the expression is;

nth = 1 + 7(n -1)

On this note, the required expression which represents the nth term of the arithmetic sequence in discuss is; T (n) = 1 + 7 (n -1).

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Answer:

3

Step-by-step explanation:

on edge

Answer:

  x = 3

Step-by-step explanation:

You want the root of the polynomial equation x(x -2)(x +3) = 18.

A graph of the equation in the form x(x -2)(x +3) -18 = 0 is attached. The solution is the x-intercept. It shows the only real root is x = 3.

There are many ways the polynomial can give rise to a system of equations. The basic idea is to write two expressions that are supposed to be equal to each other. The graphing calculator can show the value(s) of x that make them equal.

Dividing both sides of the given polynomial by (x -2)(x +3) gives the equation ...

  x = 18/((x -2)(x +3))

This can be graphed as two equations:

  y = x

  y = 18/((x -2)(x +3))

This is shown in the second attachment. It tells us the root is x=3. (Both sides of the "x=" equation have the value 3 at x=3.)

__

Additional comment

Here, you are asked to use a system of equations. A graphing calculator can usually find the solution more easily when the equation is written in the form f(x) = 0. Often x-intercepts are easier to identify than points where graphs cross each other.

Step-by-step explanation:

x = second number

first number = x - 6

third number = 4x

x - 6 + x + 4x = 96

6x - 6 = 96

6x = 102

x = 102/6 = 17

first number = x - 6 = 17 - 6 = 11

second number = x = 17

third number = 4x = 4×17 = 68

Answer:

The prime factors are 3 and 3

Answer:

listed below

Step-by-step explanation:

5.) x=77 and y=63

6.)y=60 and x= 1230

7.)y=65 and x=92

8.)y=69 and x=175

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also be used to indicate other characteristics of the logical grammar, such as the operation order.

We are given that there are two conditions for bottles. A 30 -ounce bottle for $ 6.00 or in a 24-ounce bottle for $ 4.08.  The unit price for each bottle will be: The bottle having the lower price will be:-

30-ounce bottle = $6.00

One ounce bottle = 30 / 6.00 = $5.00

and

24-ounce bottle = $4.08

One ounce bottle = $24/ 4.08 = $5.88

30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.

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The triangle ABC is an isosceles triangle because AB = BC = √73

From the question, we have the following parameters that can be used in our computation:

A(0, 0), B(3, 8), and C(6,0).

An isosceles triangle is any triangle that has two of its sides to be equal

So, we start by calculating the lengths of the sides using the distance equation represented as follows

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

AB = √[(0 - 3)² + (0 - 8)²]

AB = √73

AC = √[(0 - 6)² + (0 - 0)²]

AC = 6

BC = √[(3 - 6)² + (8 - 0)²]

BC = √73

Because AB = BC = √73, then the triangle is an isosceles triangle

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Step-by-step explanation:

So you have 5/8 and you want the equivalent fraction to have a denominator of 40. You put 5/8=X/40 and find for x.

First, multiply both sides by 40

5/8*40=x

Express 5/8 * 40 as a single fraction.

5*40/8=x

Multiply 5 40 to get 200.

200/8=x

Divide 200 by 8 to get 25.

25=x

Swap sides so that all variable terms are on the left-hand side.

x=25

Using the concept of percentage, she earned a total of $1091 last week

A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

To determine the amount she earned last week, we need to calculate the amount in commission and add it with her weekly salary.

She received 3% commission on her sales and she made a sale of $29700.

Let's find 3% of 29700

3 / 100 = x / 29700

0.03 = x / 29700

x = 29700 * 0.03

x = 891

The amount she earns will be 891 + 200 = 1091

Janelle earned $1091 last week

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Answer: 2 170 kilograms [kg] of Salt fit into 1 cubic meter. 135.46867 pounds [lbs] of Salt fit into 1 cubic foot. Salt weighs 2.17 gram per cubic centimeter or 2 170 kilogram per cubic meter, i.e. density of salt is equal to 2 170 kg/m³; at 20°C (68°F or 293.15K) at standard atmospheric pressure . In Imperial or US customary measurement system, the density is equal to 135.469 pound per cubic foot [lb/ft³], or 1.254 ounce per cubic inch [oz/inch³] .

Step-by-step explanation:

Answer: After reconciling her check register with her statement, Erin needs to make the following entry in her register: $1123.72 - $879.87 + $62.42 + $21 + $61.14 - $60.24 - $50.24 - $40 = $226.23. This is the updated balance in Erin's account after accounting for all the transactions that were not reflected on her bank statement.

All solutions of the following system of linear inequalities are given-

B (6, 2), C (9, 9), D (8, 2)

For the stated question,

Therefore, the solutions of the following system of linear inequalities are-

B (6, 2), C (9, 9), D (8, 2).

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Newsweek performed a poll in which 500 American parents were asked the question, “Would you prefer to have your child taught by a male or female for grades K-2?” 95% confidence interval for the poll is

(38.88%, 41.12%)

Generally, To construct a 95% confidence interval for the poll, we need to first calculate the margin of error. The margin of error for a poll is a measure of the precision of the estimate and is calculated based on the sample size, the level of confidence, and the standard deviation of the population.

In this case, the sample size is 500, the level of confidence is 95%, and the standard deviation of the population is unknown. We can approximate the standard deviation using the sample proportion of 40% as an estimate of the population proportion.

Using these values, the margin of error can be calculated as follows:

Margin of error = z * standard error

Where z is the critical value from the standard normal distribution for the desired level of confidence (in this case, 1.96 for a 95% confidence interval) and the standard error is calculated as:

Standard error = √(p * (1 - p) / n)

Where p is the sample proportion (40% in this case) and n is the sample size (500 in this case).

Substituting these values into the formula for the margin of error, we get:

Margin of error = 1.96 * √(0.4 * (1 - 0.4) / 500)

= 1.96 * sqrt(0.16 / 500)

= 1.96 * √(0.000032)

= 1.6 * 0.005656854

= 0.011168

So the margin of error for this poll is approximately 0.011168 or 1.12%.

To construct the 95% confidence interval, we need to add and subtract the margin of error from the sample proportion. The 95% confidence interval for the poll is, therefore:

40% ± 1.12%

= (38.88%, 41.12%)

This means that we can be 95% confident that the true population proportion of parents who would prefer to have their child taught by a male in grades K-2 lies within the interval between 38.88% and 41.12%.

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The number of minutes that will be used for commercials will be 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

If the radio program plays 40 minutes of music.

Suppose the radio program is of one hour which is 60 minutes. Then the number of minutes will be used for commercials will be given as,

⇒ 60 - 40

⇒ 20 minutes

The number of minutes that will be utilized for plugs will be 20 minutes.

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The cost of the carpentering of the floor at the rate 12 rupees per square meter is 60 rupees.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

We have the room as a cuboid.

And its length is 6 meters and height is 3 meters.

The volume of the cuboid = length x height x width

90 = 6 x 3 x width

width = 90 / 18

width = 5 meter.

To find the cost of carpentering the floor, the rate of Rs. 12 per square meter.:

12 x width = 12 x 5 = 60 rupees.

Therefore, at the rate of 12 rupees per square meter, the cost of the carpentering of the floor is 60 rupees.

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The Total Income from this caster in the first year = $184,822 approximately

What is Total Income?

Total income is the sum of all earnings, save those specifically mentioned in Section 12 of this Act, that a person receives during a certain accounting period, before any deductions are taken into account.

Given that : f(t)=12,000e^0.04t (dollars per month)

We could calculate our twelve calculations and evaluate this function once a month, but it would take some time. Instead, we should keep in mind that a continuous function can be represented by an integral. This indicates that we can simplify our calculation by simply taking the integral of this function between 0 and 12.

∫₀¹² 12000e⁰·⁰⁴t dt

Since we will transform this integrand into something for which we have the antiderivative, we may utilise u-substitution to simplify the calculation of this integral.

u=0.04t

du=0.04

dt0.04(0)=0

0.04(12)=0.48

To get the substitute for d u, we must slightly modify our integrand. This can be accomplished by adding 0.04 inside and canceling it outside by its reciprocal. The Fundamental Theorem of Calculus will then be used to calculate this definite integral.

12000 (1/0.04) ∫₀¹² 0.04e⁰·⁰⁴t dt = 30000 ∫₀⁰·⁴⁸ e⁴du

30000[tex]e^{u}[/tex] | ₀ ⁰·⁴⁸

30000(1.61607 -1)

184822.32

Therefore, the total income over the first year is approximately $184,822.

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Answer:

D. x=4

Step-by-step explanation:

32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles

m<2=m<RQP

m<1=m<SQP

m<RQP+m<SQP=m<SQR

m<2+m<1=m<SQR

m<2+m<2=m<SQR

(2+7x)+(2+7x)=16x-4

2+7x+2+7x=16x-4

2+2+7x+7x=16x-4

4+14x=16x-4

4-4+14x=16x-4+4

4+4+14x=16x-4+4

14x+8=16x

14x-14x+8=16x-14x

8=2x

x=8/2

x=4 ==> D

Thus after assuming the degrees of freedom equals 18 so the t-critical value will be =2.306

Degree of freedom {df}=18

We have to calculate the t-value such that 0.05 of the area under the curve is to the right of t

It means that, [tex]$\mathrm{P}(\mathrm{T} > \mathrm{t})=0.05$[/tex]

As we know, t distribution provides the cumulative probability

As the value of the total area under the t distribution will 1

So, we can write it as:

[tex]$$\mathrm{P}(\mathrm{T} \leq \mathrm{t})=1-\mathrm{P}(\mathrm{T} > \mathrm{t})$$$\mathrm{P}(\mathrm{T} \leq \mathrm{t})=1-0.05$$=0.95$[/tex]

Now, using excel, we can easily calculate the t-critical value as follows

=T. INV ( Probability, DF)

Where Probability is the area and DF is the degree of freedom,

Now we will enter these values in excel:

=T. INV (0.95,18)

t-critical value can also be found using t table

Look up for df = 18, in very first column

Now look up for 0.05 in one tail row

Now intersect both of them to get the t-critical value

We will get it as: 2.306

So t-critical value will be =2.306

[tex]$\mathrm{P}(\mathrm{T} > 2.306)=0.05$[/tex]

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