Q23. If 25 residents are randomly selected from this city, the probability that their average 68.2 Inches is about A) 0.3120 B) 0.2525 C) 0.2177 D) 0.1521 *Consider the following tabl Hawa

Answer:

The answer to 1a is B and the answer to 1b) is A.

Step-by-step explanation:

I got my answer right on the quiz. So, it's actually a lot easier than it seems. Imagine 4+2=2+4 or (8)(4)=(4)(8). That is commutative property of addition and multiplication just simper. In this case B and A are the same thing just with complex numbers.

The expression equivalent to the sum of 3(g+5) and 2(3g-6) is 9g + 3. We are given two expressions: 3(g+5) and 2(3g-6). We want to find the sum of these expressions.

Step 1: Distribute the coefficients to the terms inside the parentheses.

- For the expression 3(g+5), we multiply 3 by each term inside the parentheses:

3(g+5) = 3g + 3(5) = 3g + 15

- For the expression 2(3g-6), we multiply 2 by each term inside the parentheses:

2(3g-6) = 2(3g) + 2(-6) = 6g - 12

Now we have transformed the original expressions into expanded forms.

Step 2: Combine the like terms.

Now, let's combine the terms with the same variable. In this case, we have "g" as our variable.

From the expression 3g + 15, we don't have any other terms with "g", so we keep it as is.

From the expression 6g - 12, we have only one term with "g", so we keep it as is.

Now we can write the sum of the two expressions:

3g + 15 + 6g - 12

Step 3: Simplify the equation.

To simplify further, we can combine the like terms by adding or subtracting the coefficients.

3g + 15 + 6g - 12 = (3g + 6g) + (15 - 12) = 9g + 3

Therefore, the expression equivalent to the sum of 3(g+5) and 2(3g-6) is 9g + 3.

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Answer:

So...

Step-by-step explanation:

He earns $7.00 per hour, and he needs $210.00. H represents hours.

7.00 every hour

So 7.00 x  2 is 14

7.00 x 10.00 is 70

7.00 x 30 is 210. So after 30 hours he will be able to buy his phone. He should buy his phone on black friday. But now its too late.

Answer:

1. Translation is  (x - 6, y - 1)

2. Scale factor is 3.5

Step-by-step explanation:

Let's do translation first, then scale factor

1. Let's pick point R ( 6, 1), point R' (0,0)

We see that the x decrease by 6, and the y decrease by 1

So the translate is (x - 6 , y - 1)

2. Let's count the distance from Q to S; it is 4 squares. Now let's count the distance from Q' to S' is 14. Take 14 divided by 4 = 3.5. So, the scale factor is 3.5

Answer:

it's a dilation of 3.5

Step-by-step explanation:

14/4=3.5

7/2=3.5

(x , y) → (14/4 , 7/2) or (3.5 , 3.5)

Answer:

d

Step-by-step explanation:think dude  it d duh

The square root of a prime number is always irrational because prime numbers can never be expression as the product of two equal factors.

Any number that can only be divided by one and itself is said to be a prime number.This means that it cannot be expressed as the product of two equal factors, i.e. it cannot be reduced to a fraction with a denominator of one. As a result, the square root of a prime number can never be reduced to an integer or a fraction, so it is always irrational. In contrast, the square root of a perfect square or cube root of a perfect square can always be reduced to an integer or fraction, so these numbers are rational.

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Answer:10?

Step-by-step explanation:

The equation of the ellipse with a center at (3, 1), a focus at (7, 1), and a vertex at (-2, 1) is given by \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\).\). In this equation, A = 6, B = 5, C = 3, and D = 1.

To find the equation of the ellipse, we need to determine the values of A, B, C, and D in the general form equation \(\[\frac{{(x - C)^2}}{{A^2}} + \frac{{(y - D)^2}}{{B^2}} = 1\]\)for an ellipse. The center of the ellipse is (C, D), so C = 3 and D = 1.

The distance between the center and each focus is given by the value of A, so we can calculate A as the distance between (3, 1) and (7, 1), which is 4. Therefore, A = 4.

The distance between the center and each vertex is given by the value of B, so we can calculate B as the distance between (3, 1) and (-2, 1), which is 5. Hence, B = 5. Plugging these values into the general form equation, we get \(\(\frac{{(x - 3)^2}}{{36}} + \frac{{(y - 1)^2}}{{25}} = 1\)\) as the equation of the ellipse.

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Answer:

2.83

Step-by-step explanation:

The correct option is (2) f_max = 128, f_min = -128.

f(x,y)=x²y and x²+y²=48We need to find the maximum and minimum values of the function f(x, y) using the Lagrange multipliers method.

To find the critical points we set:∇f(x, y) = λ∇g(x, y)Where, g(x, y) = x² + y² - 48.Then,∇f(x, y) = λ∇g(x, y)2xyi + x²j = λ(2xi + 2yj)2xyi + x²j = λ2xi + λ2yjEquating the i component,2xy = 2λx ……(1)Equating the j component,x² = 2λy ……(2)From the constraint function, we have, g(x, y) = x² + y² - 48 = 0.

Differentiating the above equation with respect to x and y we get,x dx + y dy = 0 ……(3)Substitute x from equation (1) in (2)x² = 2λyx² = 2y(2xy)/(2λ)x = (2xy)/(2λ) ……(4.

)Substituting the value of x in equation (1), 2y(2xy)/(2λ) = λ(2y)4xy = λ²yx = (λ²x)/(4) ……(5).

From equations (4) and (5),

we get:λ = ±2√ySubstituting λ = ±2√y in equation (2), we get:x² = 4y² ∴ x = ±2y.

Substituting the values of x and λ in equation (1), we get:y = 4 or y = -4x = ±8Hence, we have 4 critical points.

i.e (8, 4), (-8, 4), (8, -4), and (-8, -4).The value of f(x,y) at these points are:f(8,4) = 256f(-8,4) = -256f(8,-4) = -256f(-8,-4) = 256.

From the above, we can see that f_max = 256 and f_min = -256.

Therefore, the correct option is (2) f_max = 128, f_min = -128.

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Answer:

D.1

Step-by-step explanation:

you cannot measure distance in negatives and it talks about how many units it was moved by.

C

Reason: You have 2,2, and 3,3 now there is no 2 that can go with or that is higher and it can not be negative because it is not at the bottom its on top which is positive.

The original dimensions of the metal piece are:

Let's say the length of the original metal piece is L and the width is W. The squares that are cut from the corners have sides of x. After the flaps are folded upward, the resulting dimensions of the box are L - 2x and W - 2x. The volume of the box is given as:

       (L - 2x) * (W - 2x) * x = x³

        LWx - 2Lx² - 2Wx² + 4x³ = x³

        LWx - 2Lx² - 2Wx² = 0

        LW = 2(L + W)x²

       LW / x² = 2(L + W)

       LW / V^(2/3) = 2(L + W)

        LW = 2(L + W) * V^(2/3)

        LW = 2V^(2/3) (L + W)

        LW = 2 * V^(2/3) * (L + W)

        L = W + t for some t > 0.

        W (W + t) = 2 * V^(2/3) * (W + t + t)

        W² + Wt = 2 * V^(2/3) * (2t + W)

        W² = 2 * V^(2/3) * 2t + 2 * V^(2/3) * W

        W² = 4 * V^(2/3) * t + 2 * V^(2/3) * W

        W^2 / (2 * V^(2/3) + 1) = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + 2 * V^(2/3)

        * W / (2 * V^(2/3) + 1)

        W * (2 * V^(2/3) + 1) = 4 * V^(2/3) * t + 2 * V^(2/3) * W

        W = 4 * V^(2/3) * t / (2 * V^(2/3) + 1)

        L = W + t = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + t

        L = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + t

        W = 4 * V^(2/3) * t / (2 * V^(2/3) + 1)

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The height of the frame is 15 feet.

From the information given, the following can be depicted:

b - 10/a = 2/5

2a = 5b - 50

2a - 5b = -50

Also, slope of AC:

= (b - 10(/(a - 5) = 2/5

2a - 50 = -5b + 50

2a + 5b = 100

Both equations will be solved

The height of the frame will be:

= 5 + 10

= 15 feet

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Answer:

4≤x>-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The formula for calculating percent recovery is

Percent recovery = (mass of purified compound obtained / mass of original compound) x 100

Percent recovery is an important parameter used in recrystallization to determine the efficiency of a purification process. It refers to the percentage of the original material that is recovered after the recrystallization process.

To calculate percent recovery, first, the mass of the original sample is measured before the recrystallization process. After the process is completed, the mass of the purified compound is measured, which is obtained from the recrystallization.

The mass of the purified compound is then divided by the mass of the original compound and multiplied by 100 to get the percent recovery. A high percent recovery indicates that the recrystallization process was successful in separating the target compound from the impurities, and the final product is relatively pure.

A low percent recovery may indicate that the recrystallization process was not efficient in separating the target compound from impurities, or that some of the target compound was lost during the process. Thus, percent recovery is a crucial parameter that determines the success of a recrystallization process.

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Complete question is:

How do you calculate percent recovery during recrystallization?

In the picture there are 2 problems. The similarity is they two have to find 2 question. The difference is given question are different.

Given that,

In the picture there are 2 problems.

We have to find the difference and similarities of question in the picture.

The similarities are they 2 are word problems.

Another similarity is they two have to find 2 question.

1. How much money for 10 days and How many days to collect the money $1.05?

2.How much gallon of water need for 50 minutes and How much time take to fill the pool?

Another similarity is they two have to justified the answer in a mathematical model.

Now,

The difference is,

First question has given sisters and money problem where as the second has given pool and gallon water problem.

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The only Inequality in which 4 is the lowest integer value that x could take is:x ≥ 4

To determine the inequalities in which 4 is the lowest integer value that x could take, we need to consider the conditions where x is greater than or equal to 4.

1) x ≥ 4: This inequality includes all values of x that are greater than or equal to 4, so 4 is indeed the lowest integer value that x could take.

2) x > 4: This inequality includes all values of x that are strictly greater than 4, excluding the value 4 itself. Therefore, it does not satisfy the condition that 4 is the lowest integer value that x could take.

3) x ≥ 4.5: This inequality includes all values of x that are greater than or equal to 4.5, which is not an integer value. Therefore, it does not satisfy the condition that 4 is the lowest integer value that x could take.

4) x > 3: This inequality includes all values of x that are strictly greater than 3, which does not guarantee that 4 is the lowest integer value that x could take.

Therefore, the only inequality in which 4 is the lowest integer value that x could take is:

x ≥ 4

This inequality ensures that x is greater than or equal to 4, making 4 the lowest possible integer value for x.

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There are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set with repetition allowed.

To determine the number of odd five-digit counting numbers that can be formed by choosing digits from a set (with repetition allowed), we need to consider the restrictions and possibilities for each digit position.

1. The leftmost digit:

2. The remaining four digits:

To find the total number of odd five-digit counting numbers, we multiply the possibilities for each digit position:

Total number = (5 options for the leftmost digit) \(\times\) (10 options for each of the remaining four digits)

Total number = \(5 \times 10^4 = 50,000\)

Therefore, there are 50,000 odd five-digit counting numbers that can be formed by choosing digits from the set when repetition is allowed.

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1. number of dimes=6

number of quarters=6

2.    number of dimes = 5

      number of quarters =10

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

1. consider the coins line ( black one):

Corresponding to 6 on the x-axis, there is 6 on the y axis

So,  number of dimes=6

      number of quarters=6

2. consider the total to $3 line ( green one )

         number of dimes = 5

      number of quarters =10

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Based on the numbers given in the distribution, the standard deviation can be found to be 1.49

To find the standard deviation, you first have to find the mean of the distribution:

= (0 + 0 + 1 + 1 + 1 + 2 + 2 + 3 + 5 ) / 9

= 15 / 9

= 1.67

You can then find the variance using financial calculators to be:

= 2.2222222

The standard deviation is:

= √variance

= √2.2222222

= 1.49

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Answer:1.5 x 2=3 teaspoons vanilla

Step-by-step explanation: simply double the 1.5 teaspoons which is 3 teaspoons of vanilla

The values when the given numbers are multiplied will be:

230

78

3

91

1800

3. 5 × 23 × 2

It should be noted that the given information simply means that we should multiply 5 by 23 by 2. This will be:

= 5 × 23 × 2

= 230

5. 34 + 0 + 18 + 26

This information simply means that we should add thirty four, eighteen, and twenty six together. This will be:

34 + 0 + 18 + 26 = 78

7. (3 × 10 × 8) = ....... × (10 × 8)

(3 × 10 × 8) = 3 × (10 × 8)

9. 0 + ...... = 91

It simply means the number that will be added to zero that will give ninety one. This will be 91.

11. The total income for the theater will be:

= (20 × 18) × 5

= 1800

Therefore, the correct values based on the computation will be 730, 78, 3, 91, and 1800.

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The option that best describes the value 1.5 in the linear equation; u = 0.75·t + 1.5 is option D

D. y-intercept and the initial amount of rain, in inches at midnight

A linear equation is an equation of the form; y = m·x + c, where, m is the slope, and c is the y-intercept of the graph of the equation.

The time at which the analysis of the rainstorm by the meteorologist starts = 10 p. m.

The linear model for the accumulation of rain is; u = 0.75·t + 1.5

The number of hours, t after midnight where; t > 0

The model for the accumulation of rain, indicates that the coefficient of t, which is 0.75 is the rate at which the rain accumulates in inches per hour, therefore, the rain accumulates at a rate of 0.75 inches per hour

The constant term in the linear equation, u = 0.75·t + 1.5, which is the constant, 1.5, is the y-intercept of the graph of the equation.

The y-intercept is the value of the equation, when the input value, the time, t = 0, which is the time at midnight

The 1.5 therefore, indicates that the y-intercept, and the level of the accumulated rain at midnight, when the time, t = 0, which is the initial amount of rain at midnight is 1.5 inches.

The correct option is therefore;

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The value of x is 34.64 feet

Find the diagram attached

Get the value of x using the SOH CAH TOA identity

\(sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet\)

Hence the value of x is 34.64 feet

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The area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom is 0.0125.

In statistics, the chi-square distribution is a continuous probability distribution that is widely used in inferential statistics. The area to the right of a certain value can be calculated using a chi-square table or a computer program. In this case, we want to find the area to the right of 23.337 under the chi-square distribution with 12 degrees of freedom. Using a chi-square calculator or a chi-square table, we can determine that this area is 0.0125. This means that there is a 1.25% chance of getting a chi-square value greater than 23.337 with 12 degrees of freedom. This type of calculation is often used in hypothesis testing and other statistical analyses.

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Answer:

20,500 or greater. 21499 or less.

Step-by-step explanation:

All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.

We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.

According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.

We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.

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Answer:

40 Percent

Step-by-step explanation:

Cost per gallon of gasoline to the nearest hundredth is 2.73.

Unit rate is the amount of one quantity for a unit amount of the other quantity. It compares 1 unit of some quantity with different amount of another quantity.

Given that,

Price paid for 16.1 gallons of gasoline = 43.95

We have to find the unit price of the gasoline.

Let x be the unit price of gasoline.

Using proportion,

x / 1 = 43.95 / 16.1

x = 2.7298 ≈ 2.73, to the nearest hundredth.

Hence the unit price of the gasoline is 2.73.

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Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3