compute the critical value z a/2 that corresponds to 97% level of confidence, compute the critical value z a/2 that corresponds to 80% level of confidence?

Step-by-step explanation:

ok multiply the denominator by the whole number to get 8 and add it to the numerator to get 11. the denominator stays the same so you get 11/4

A subset of a population selected to represent the population is a sample.

A sample is a subset of a population that is selected to represent the larger population as a whole. It is important to select a representative sample so that the results of the analysis are accurate and reliable.

A population can be defined as a group of individuals, objects, or subjects that share common observable characteristics or traits. A population is a group of things that share something in common, and it can be any size.

A sample is a smaller group of individuals, objects, or subjects that are taken from the population to perform research or statistical analysis. Samples are typically used in research to estimate what is happening in the population as a whole.

A subset is a subset of a larger group.

In other words, it is a smaller set that is part of a larger set. A subset can contain any number of elements or members, and it can be of any size.

Hence, the "a sample" is correct.

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Answer:

4 numbers, mean of 5.

4x5= 20. so the total of all 4 numbers is 20.

2+4+6= 12

so in order for the total to be 20, the missing number has

to be 8 (20-12=8)

Answer:

Puede ser Asi:

\( {10}^{6} = 1000000\)

Tambien puede ser:

\(1000000 \div 10 = 100000\)

Answer:

75 degrees

Step-by-step explanation:

So r and s are parrel.  I think if you use corrisponding angles, you can see x=75 degrees

Answer:

75 degrees

Step-by-step explanation:

i got it right on i-ready

Answer:

Therefore, the volume of the cylinder is approximately 2,262.9 cubic centimeters.

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height of the cylinder.

Substituting the given values, we get:

V = π(6 cm)^2(20 cm)

V = 720π cm^3

To find the volume to the nearest tenth, we can use the approximation π ≈ 3.14 and calculate:

V ≈ 720(3.14) cm^3

V ≈ 2,262.8 cm^3

Rounding to the nearest tenth, we get:

V ≈ 2,262.8 cm^3 ≈ 2,262.9 cm^3

Therefore, the volume of the cylinder is approximately 2,262.9 cubic centimeters.

Give me brainliest..tnx

Answer:

29 inches

Step-by-step explanation:

Answer:

Use Pythagoras' Theorem:

c²=a²+b²

c²=20²+21²

c²=841

c=√841

c=29 inches

Step-by-step explanation:

We can use the distributive property to find an expression equivalent to 15(x+2) as 15x + 30.

The given equation is 15(x+2).

The distributive property can be used on the component outside of the brackets, that is 15.

Therefore, we would multiply 15 by each term inside the rounded brackets.

It becomes, 15 times x = 15x and 15 times 2 = 30

That is, 15*(x+2) = 15* x +15* 2 = 15x + 30

Hence, the equation 15(x+2) becomes 15x + 30.

By using the distributive property, expression equivalent to 15(x+2) is 15x + 30

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3x - 4 + (6/x) → Option A

Step-by-step explanation:

\(\begin{aligned}\frac{9x^2-12x+18}{3x}&=\frac{\cancel{3}\left(3x^2-4x+6\right)}{\cancel{3}x}\\&=\frac{3x^2-4x+6}{x}\\&=\frac{3x^2}{x}-\frac{4x}{x}+\frac{6}{x}\\&=\underline{\underline{\boxed{3x-4+\frac{6}{x}}}}\end{aligned}\)

The number of files sorted in the first one and a half hours of sorting is 945.

Here, we are given that a group of clerks must sort 1775 files.

Each clerk sorts at a constant rate of 30 files per hour.

Let the number of clerks who start working initially be x.

Thus, they will sort 30x files in the first hour.

After the first hour, let the number of clerks who stop working be a

Thus, the number of files sorted in the second hour will be 30(x - a)

Similarly, the number of files sorted in the third hour will be 30(x - 2a)x

In the last 10 minutes, the number of files sorted will be 5(x - 3a)

Thus, we can form the following equation-

30x + 30(x - a) + 30(x - 2a) + 5(x - 3a) = 1775

30x + 30x - 30a + 30x - 60a + 5x - 15a = 1775

95x - 105a = 1775

19x - 21a = 355

x = (355 + 21a)/ 19

since x and a both have to be integers, (355 + 21a) must be divisible by 19.

This is the case when a = 3

⇒ x = (355 + 21*3)/ 19

x = 418/ 9

x = 22

Now, the number of files sorted in first one and a half hours will be-

30x + 15(x - a)

= 30*22 + 15(22 - 3)

= 660 + 15*19

= 660 + 285

= 945

Thus, the number of files sorted in the first one and a half hours of sorting is 945.

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The length of the shorter leg is 16 units which was found using the given data.

A quadratic equation is a second-degree algebraic equation in x. In its usual form, the quadratic equation is ax² + bx + c = 0.

Given: The larger leg of a right triangle is twice more than three times the shorter leg, and the triangle's area is 400.

We know that,

Area of triangle = 1/2(larger leg)(shorter leg)

                  400=1/2(larger leg)(shorter leg)   Equation(1)

larger leg = 2 + 3(shorter leg)

We need to substitute this in Equation(1)

400 = 1/2[2+3(shorter leg)](shorter leg)

800 = 2(shorter leg) + 3(shorter leg)²

3(shorter leg)² + 2(shorter leg) - 800 = 0

Solving this quadratic equation,

we get, shorter leg = - 16 or +16

Thus, we found that the length of the shorter leg is 16 units as -16 cannot be the length because it is negative.

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The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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The probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

b) To find the probability that exactly 4 children would draw the nickel too small, we can use the binomial probability formula. The formula is: P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, n = 8 (as 8 children are chosen), k = 4 (as exactly 4 children drawing the nickel too small), p = 0.15 (as the probability of a child drawing the nickel too small), and q = 1 - p = 1 - 0.15 = 0.85.

So, the probability that exactly 4 children would draw the nickel too small is: P(X = 4) = (8C4) * (0.15^4) * (0.85^(8-4)).

c) To find the probability that at least one child would draw the nickel too small, we can use the complement rule. The probability of at least one success is equal to 1 minus the probability of no success.

The probability of no success (all children drawing the nickel of the right size) is given by: P(X = 0) = (8C0) * (0.15^0) * (0.85^8).

Therefore, the probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

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The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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If Charlotte wants to pay off her credit card using equal monthly payments over the next 15 months, the monthly payment be, to the nearest dollar, is $570.

The monthly payment can be determined using an online finance calculator with the present value of the credit card set to $7,600 and its future value set to $0 at 18% monthly compound interest.

N (# of periods) = 15 months

I/Y (Interest per year) = 18%

PV (Present Value) = $7,600

FV (Future Value) = $0

Results:

Monthly Payment (PMT) = $569.58

≈ $570

Sum of all periodic payments = $8,543.66

Total Interest = $943.66

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Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a mixed fraction, improper fraction, decimal, or percentage.

Hope This Helps :)

Answer:

a) No Solution

Step-by-step explanation:

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

1 - 7p = -7p

1 = 0p

so a) No Solution

Answer:

\(36 - 7p = - 7(p - 5) \\ 36 - 7p = - 7p - 7 \times - 5 \\36 - 7p = - 7p + 35 \\ p \: terms \: togather \\ - 7p + 7p = 35 - 36 \\ 0p = - 1 \\ here \: we \: \: have \: 0p \\ so \: no \: solution \\ option(a) \\ thank \: you\)

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

The balanced scorecard approach can be utilized as a strategic control system to ensure the organization pursues long-term profitability by aligning financial objectives with key performance indicators across multiple perspectives.

The balanced scorecard approach is a strategic control system that enables organizations to effectively measure and manage performance across various dimensions. It provides a holistic view of the organization's activities by incorporating financial and non-financial indicators, and it serves as a valuable tool to ensure strategies are aligned with long-term profitability goals.

One key aspect of the balanced scorecard approach is the inclusion of multiple perspectives. Instead of focusing solely on financial metrics, the balanced scorecard incorporates additional perspectives such as customer, internal processes, and learning and growth. This ensures a comprehensive evaluation of the organization's performance, taking into account both short-term financial results and the long-term drivers of profitability.

By utilizing the balanced scorecard approach, organizations can set clear objectives and identify relevant key performance indicators (KPIs) for each perspective. This allows for a more balanced and well-rounded assessment of performance, ensuring that strategies are not solely focused on financial outcomes but also consider customer satisfaction, operational efficiency, and employee development.

Furthermore, the balanced scorecard approach facilitates the translation of the organization's strategy into actionable initiatives. By establishing cause-and-effect relationships between the different perspectives, organizations can develop a clear understanding of how their strategic objectives will lead to long-term profitability. This enables better resource allocation, effective monitoring of progress, and timely adjustments to ensure strategies remain aligned with the pursuit of maximum profitability.

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Answer:

I am guessing transformation

The statement "The total amount of time that she ran is called intensity" is False.

Intensity is the degree of effort you put into physical exercise. It measures how hard you are exercising. The intensity of exercise may be determined by a variety of things, including heart rate, perceived exertion, power output, and speed. Your target heart rate is the heart rate range that is recommended during exercise to ensure that you are exercising effectively and safely. It varies depending on a variety of things, including age, weight, and overall fitness level. Your target heart rate range is calculated using a specific formula based on your maximum heart rate. This is the upper limit of your heart rate. 70 percent of this value is then used to find the lower limit, which is 70% of her target heart rate.

In summary, the statement "The total amount of time that she ran is called intensity" is False since Intensity is the degree of effort you put into physical exercise. The total amount of time that one runs is referred to as Duration.

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In this movie, the ratio of children to adults suggests that there are 27 children in attendance.

We have to give that,

There are 9 children for every 4 adults.

This means that if there were 13 people, 9 of them would be children and 4 would be adults.

Children would therefore be:

= 9 / 13

If there were 39 people, the number of children would be:

= 9/13 x 39

= 27 children

In conclusion, there are 27 children.

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The complete question is,

In the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults in the movie.

How many children are in the movie?

We are given an economy with two goods and Leontief consumers who have utility functions that depend on the minimum of the two goods. The initial endowments of the consumers are positive, and we are assuming that the aggregate endowment of the economy has more of the first good than the second. If a price system p=(p1,p2) is an equilibrium with market clearing, we need to show that p1=0 and p2>0.

We start by considering the demand function for a Leontief consumer, which is given by xi1(p) = xi2(p) = (p1 + p2)mi/pi, where mi represents the initial endowment of consumer i and pi represents the price of good i.

Since the aggregate endowment ω=(ω1,ω2) of the economy satisfies ω1 > ω2, we know that the total supply of the first good is greater than the total supply of the second good.

Now, if p1 > 0, then for any positive value of p2, the demand for the second good xi2(p) will be positive for all consumers. This implies that the total demand for the second good will be greater than the total supply, leading to a market imbalance.

To achieve market clearing, where total demand equals total supply, we must have p1 = 0. This is because if p1 = 0, the demand for the first good xi1(p) will be zero for all consumers, and the total supply of the first good will match the total supply. Additionally, p2 must be positive to ensure positive demand for the second good.

Therefore, we have shown that in an equilibrium price system with market clearing, p1 = 0 and p2 > 0, given the initial endowment condition ω1 > ω2.

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Answer:

its d , because your distributing the 5 into what's in the parenthesis .

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The general solution is given by y = y_c + y_p = Ae^(12x) - x/8 + B + e^x.the equation P(r) = Be^(k(r - 2010)) and solve for B and k.AND the equation P(r) = Be^(k(r - 2010)) to draw the curve that fits the data.

1. To solve the differential equation 3y' - 36y = 3x + e^x, we first find the complementary solution by solving the homogeneous equation 3y' - 36y = 0. The characteristic equation is 3r - 36 = 0, which gives r = 12. So the complementary solution is y_c = Ae^(12x).

Next, we assume a particular solution in the form of y_p = Ax + B + Ce^x, where A, B, and C are constants to be determined. Substituting this into the original equation, we get -24A + Ce^x = 3x + e^x. Equating the coefficients of like terms, we have -24A = 3 and C = 1. Thus, A = -1/8.

The general solution is given by y = y_c + y_p = Ae^(12x) - x/8 + B + e^x.

2. (a) To solve the differential equation dP/dt = kP, we separate the variables and integrate both sides: (1/P) dP = k dt. Integrating gives ln|P| = kt + C, where C is the constant of integration. Exponentiating both sides, we have |P| = e^(kt + C), and by removing the absolute value, we get P = Be^(kt), where B = ±e^C.

Substituting t = 1, we have P(1) = Be^k. So, the solution for P(1) is P(1) = Be^k.

(b) (i) Based on the data in Table 1, we have two points (2010, 3.2 million) and (2015, 6.2 million). Using these points, we can set up the equation P(r) = Be^(k(r - 2010)) and solve for B and k.

(ii) To estimate when the immigrant population in Country C will become 12 million people, we can plug in P(r) = 12 million into the equation P(r) = Be^(k(r - 2010)) and solve for r.

(iii) To sketch a graph illustrating the population growth, we can plot the points from Table 1 and use the equation P(r) = Be^(k(r - 2010)) to draw the curve that fits the data.

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