Help please!!!!!!!!!

The critical value zα/2 for a level of confidence of 92% can be found as follows: In general, the confidence interval for the population mean is given by:\($$\large\bar x \pm z_{\frac{\alpha }{2}}\frac{\sigma }{\sqrt{n}}$$\) Where, \(\(\bar x\)\) is the sample meanσ is the population standard deviation (if known) or the sample standard deviation is the sample size\(\(z_{\frac{\alpha }{2}}\)\)is the critical value that corresponds to the level of confidence α.

We need to find\(\(z_{\frac{\alpha }{2}}\)\) for a 92% confidence interval. The area in the tail of the normal distribution beyond zα/2\(zα/2\)  is equal to \((1 - α)/2\) . Thus, for a level of confidence of 92%, the area in the tail of the distribution beyond\(zα/2\)is\((1 - 0.92)/2 = 0.04/2 = 0.02\) .

Therefore, the critical value\(zα/2\) that corresponds to a 92% confidence interval is\(z0.04/2 = z0.02 = 1.75\) . Hence, we have\(:$$\large z_{\frac{\alpha }{2}}= z_{0.02} = 1.75$$\) Thus, the critical value \(zα/2\)  that corresponds to a confidence level of 92% is 1.75.

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The system of inequalities that matches this situation is:

x + y ≤ 150

4x + 8y ≥ 700

How to solve the inequalities?

Inequalities are mathematical statements that compare two values or expressions, indicating whether they are equal, not equal, greater than, less than, greater than or equal to, or less than or equal to. Inequalities are usually represented using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), and "≠" (not equal to).

The girls swim team is selling candles for $4 and flower arrangements for $8, and they would like to raise at least $700. Let x be the number of candles sold and y be the number of flower arrangements sold. Then the total amount raised is given by:

Total amount = 4x + 8y

The girls estimate that they will sell at most 150 items, so the total number of items sold is at most 150:

x + y ≤ 150

The girls would like to raise at least $700, so the total amount raised is at least $700:

4x + 8y ≥ 700

Therefore, the system of inequalities that matches this situation is:

x + y ≤ 150

4x + 8y ≥ 700

So, the correct option is C.

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If person is standing at the end of a pier 12 ft above the water, then the velocity of the boat when it is 16 ft from the pier is 7.5 ft/min.

The distance between the person and the water (y) = 12 ft,

The distance between the boat and the pier is (x) = 16 ft,

So, p = √(12² + 16²) = 20 ft,

From the triangle given below,

⇒ x² + y² = p²,

taking "derivative" with respect to "x",

We get,

⇒ 2x(dx/dt) + 2y(dy/dt) = 2p(dp/dt);

⇒ dy/dt = 0 ..because height is constant,

The water is pulling on a rope at speed of (dp/dt) = 6 ft/min,

⇒ 2x(dx/dt) = 2p(dp/dt),

⇒ 2×16×(dx/dt) = 2×20×6,

⇒ dx/dt = 7.5 ft/min.

Therefore, the velocity of the boat is 7.5ft/min.

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The given question is incomplete, the complete question is

A person is standing at the end of a pier 12 ft above the water and is pulling on a rope attached to a rowboat at the waterline at a rate of 6 ft per minute. What is the velocity of the boat when it is 16 ft from the pier?

Answer:

\( \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} \)

Step-by-step explanation:

HOPE IT HELPS (^o^)/

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a). To maximize production within the budget, 600 units of labor and 100 units of capital should be purchased. b). The maximum production under the budgetary constraint is approximately 8,366 units.

a). To maximize production, we need to allocate the budget efficiently between labor and capital. We can calculate the number of units of labor and capital by dividing the budgeted amount by the cost per unit. The budget of $576,000 divided by the cost of labor per unit ($400) gives us 1,440 units of labor. Similarly, dividing the budget by the cost of capital per unit ($2,400) gives us 240 units of capital. However, this allocation does not maximize production within the budgetary constraint.

b). To find the optimal allocation, we can use the partial derivatives of the production function with respect to L and K. Taking the partial derivative of the production function with respect to L, we get 37.5L^(-0.25)K^0.25. Equating this to the budgeted amount of labor (600 units), we can solve for K, which comes out to be 100 units. Similarly, by taking the partial derivative of the production function with respect to K, we get 12.5L^0.75K^(-0.75). Equating this to the budgeted amount of capital (100 units), we can solve for L, which comes out to be 600 units.

By substituting these values into the production function, we can calculate the maximum number of units of production, which is approximately 8,366 units.

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Answer: this is how to do it

Step-by-step explanation: x=−3.

x=−4, y=−6

xy-3x=40, x=5

x(y-3)=40

y-3=(40/x)

y=(40/x)+3

y=(40/5)+3

y=8+3

y=11

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

Using it's formula, it is found that the surface area of the mug that is painted blue is of 36.13 square inches.

The surface area of a cylinder of radius r and height h is given by:

\(S = 2\pi r(r + h)\)

Half of this area is inside the cylinder, and half is outside.

In this problem, the inside of the mug is blue, with r = 2 and h = 3.75, hence:

\(S_b = \pi r(r + h) = 2\pi(2 + 3.75) = 36.13\)

The surface area of the mug that is painted blue is of 36.13 square inches.

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Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

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Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

Answer:

Number 2 is A

Number 3 is (5, -4)

Number 4 is (5, -4)

Number 5 is (4, 2)

Step-by-step explanation:

Answer:

B, maybe (5,-4), (5,-4), (4,2)

Step-by-step explanation:

Translate just means to move, and vertex T just means the dot labeled "T". Move just that point three to he left and two to the right is (-5,0). I would give (5,-4) as the answer for three, but I'm not too sure and don't wanna spread false information... onto number 4. (3,1) and the form is (x,y) Right is positive, so ADD 2 to 3. Down is negative, so SUBTRACT 5 to 1. You now have (5,-4). 2 multiplied by 2 is 4 and 1 multiplied by 2 is 2. (4,2)

Answer:

6 and 102 = 62

119 and 23 = 38

96 and 51 = 33

28 and 87 = 65

Step-by-step explanation:

just did mine :D

Answer:

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

Step-by-step explanation:

Answer:

Amount originally invested = $700

Step-by-step explanation:

[This answer assumes that the interest is simple interest.]

We are told that upon investing a certain amount of money for 4 years at a rate of 6%, we get $168 in interest. We are then asked to calculate the amount originally invested.

To solve this problem, we have to use the formula for simple interest:

\(\boxed{I = PRT}\),

where:

• I ⇒ interest = $168

• P ⇒ principal (original) amount = $?

• R ⇒ interest rate = 6% = 0.06

• T ⇒ time for which the money is invested = 4 years.

Using the above formula and rearranging it to make P the subject of the equation, we can calculate the principal amount:

\(I = PRT\)

⇒  \(P = \frac {I}{RT}\)

⇒ \(P = \frac{168}{0.06 \times 4}\)

⇒ P = 700

Therefore, the amount originally invested was $700.

To determine the rows where the expression (p ∧ q) ∨ (p ∧ r) is true, we can construct a truth table with columns for p, q, r, p ∧ q, p ∧ r, (p ∧ q) ∨ (p ∧ r), as shown below:

```

p | q | r | p ∧ q | p ∧ r | (p ∧ q) ∨ (p ∧ r)

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

T | T | T | T | T | T

T | T | F | T | T | T

T | F | T | F | T | T

T | F | F | F | F | F

F | T | T | F | F | F

F | T | F | F | F | F

F | F | T | F | F | F

F | F | F | F | F | F

```

The rows where the expression (p ∧ q) ∨ (p ∧ r) is true are the first, second, and third rows, where the last column is true. Therefore, the rows where the expression is true are:

```

p | q | r

--------

T | T | T

T | T | F

T | F | T

```

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

The required number of moles of hydrogen fluoride (HF) produced by chemist in an experiment is equal to 0.245 moles.

Mass of hydrogen fluoride (HF) produced by chemist  is equals to 4.9 grams

The number of moles of hydrogen fluoride produced,

Use the formula of moles we have,

moles = mass / molar mass

The molar mass of hydrogen fluoride (HF) is approximately equals to  20 g/mol.

Thus,

Calculate the number of moles of hydrogen fluoride produced by substituting the values as follows,

⇒ moles = 4.9 g / 20 g/mol

⇒ moles = 0.245 mol

Therefore, the chemist produced 0.245 moles of hydrogen fluoride during the experiment.

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Answer:

x=3

Step-by-step explanation:

hope this helps

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers

Answer:

C. it cannot be a whole number

Step-by-step explanation:

Anwser 52 degrees

Step-by-step explanation:

first you figure out the 2 angles the triangle is missing so 28-90 would be 62

then to find the other unknown angle you solver for the larger triangle

so 90+48=138

180-138=42

42+62=104

104+2y-30=180

add 30

104+2y=210

-104

2y=106

divide by 2

y=53

I did it wrong :) don't pay attention to this comment XP

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

\(a\cdot a^2+b\cdot a+c=a^3+ab+c\)

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

1/6 im not sure how to explain it but u have 5/6 chance of not rolling it

One of the six countries sent 41 representatives to the congress.

What, in the simplest words, is the Congress?

The Congress is our country's legislative body, which drafts our laws. The United States Senate and the United States House of Representatives are the two branches of Congress.

                    Each state has two U.S. Senators and a minimum of one U.S. Representative; the number of U.S. Representatives that can be elected depends on the number of citizens in the state.

(1) One of the six countries sent 41 representatives to the congress

(2) Country A sent fewer than 12 representatives to the congress

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As per the question, for finding the 2 square root to estimate 10 will come out to be as \(\sqrt{10} = 3.162\)

In order to find \(\sqrt{10}\), pick a perfect square less than 10 and another perfect square greater than 10. \(\sqrt{9}\) = 3. \(\sqrt{16}\) = 4, so. \(\sqrt{10}\) is therefore far closer to \(\sqrt{9}\) than the projected number. The outcome of multiplying an integer by itself is referred to as the number's square root. The square root of a number can be found by looking for a number that, when squared, yields the original value. The square value of a number is acquired by multiplying it by itself. The square root of a number x is a number y such that \(y^{2}\) = x or a number y whose square is x.

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