Kristy wrote down a decimal number that is greater than 0.76 but less than 0.82. Which number did Kristy write?

Answer:

A) 24 square meters

Step-by-step explanation:

SA=6s²

SA=6*(2)²

SA=6*4

SA=24

SA

Answer:

x=3

Step-by-step explanation:

2(10x+2)=64

20x+4=64

20x=60

x=60÷20

x=3

Answer:

x=3

Step-by-step explanation:

2

(10x+2)=64

=

20x+4=64

Subtract 4 from both sides

20x=60

Divide both sides by 20

20x/20 = 60/20

therefore x = 3

Answer:

The answer is 305 miles.

Step-by-step explanation:

We can solve this using proportion.

\( \frac{183 \: miles}{3 \: hours} = \frac{x}{5 \: hours} \\ \\ \frac{3x}{3} = \frac{915}{3} \\ \\ x = 305\)

Answer:

671

Step-by-step explanation:

on kahn acadamy

In the game tree shown in Figure 1, MAX can guarantee a winning outcome. In the game tree, MAX is the first mover and the goal is to maximize the outcome.

By analyzing the tree, we can see that MAX has two choices at the root node: A and B. If MAX chooses A, MIN has two choices: C and D. If MIN chooses C, MAX has two choices again: E and F. If MIN chooses D, MAX has three choices: G, H, and I. By considering all possible moves and their corresponding outcomes, we can determine that MAX can always select the optimal move at each step, leading to a winning outcome.

To elaborate, let's consider the path that guarantees MAX's victory. MAX starts by choosing option A. MIN then selects option D, and MAX responds with option H. At this point, MAX has reached a terminal node with a value of +10, which represents a winning outcome for MAX. It is important to note that regardless of the choices made by MIN, MAX can always ensure a favorable outcome. The values assigned to the terminal nodes reflect the payoff for MAX. Therefore, in this game tree, MAX has a winning strategy.

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The area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

From the question, we are to determine the area of the backyard that the grass takes up

Area of the backyard that the grass takes up

= Area of the backyard - Area of the rectangle pool deck - Area of the circle  pool

Area of the backyard = 6x × 6x

= 36x²

Area of the rectangle pool deck = 2x × x

= 2x²

Area of the circle pool = πx²

Thus,

Area of the backyard that the grass takes up = 36x² - 2x² - πx²

Area of the backyard that the grass takes up = 34x² - πx²

Hence , the area of the backyard that the grass takes up is 34x² - πx². The correct option is B. 34x² - πx²

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Answer: 19 and 1/2 cups

Step-by-step explanation:

write out the problem then do 3/4 then multiply by 13. Next, multiply the answer by 2.

Hope this helps!

The total cost to buy t movie tickets for $8.50 each is o only one, the number of ounces of tomato juice, j, in 2 quarts o only one, the number of pizzas to order, p, if each person eats 2 slices more than one, the greatest number of $6 notebooks, n, ed can buy with $36 only one, and the area, a, of a wall with a length of 5 meters and a height of 3 meters o only one.

1. The total cost to buy t movie tickets for $8.50 each:
- Only one value for the variable

The cost to buy a specific number of movie tickets at a fixed price will have only one total cost value.

2. The number of ounces of tomato juice, j, in 2 quarts:
- Only one value for the variable

There are 32 ounces in a quart, so 2 quarts will always have 64 ounces.

3. The number of pizzas to order, p, if each person eats 2 slices:
- More than one value for the variable

The number of pizzas needed depends on the number of people attending, which can vary, leading to different values for p.

4. The greatest number of $6 notebooks, n, Ed can buy with $36:
- Only one value for the variable

Since each notebook costs $6, Ed can buy exactly 6 notebooks with $36 (36/6 = 6).

5. The area, a, of a wall with a length of 5 meters and a height of 3 meters:
- Only one value for the variable

The area of a rectangle is calculated by multiplying its length and height. In this case, the area will always be 15 square meters (5m x 3m = 15m²).

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Answer:

(3,0) and (7,8)

Step-by-step explanation:

I assume you are looking for the points at which the parabola and line cross. In that case, this is rather simple. You can look at it and see where on the graph the points are.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:

Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second

It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second

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The piecewise function graphed in this problem is given as follows:

C) y = x² + 2, x < 1, y = -x + 2, x ≥ 1.

A piece-wise function is a function that has different definitions, depending on the input of the function.

To the left of x = 1 in this problem, we have the quadratic function with vertex at (0,2), hence it is given as follows:

y = x² + 2, x < 1.

To the right of x = 1, including x = 1, we have a linear function with slope of -1 and intercept of 2, hence it is given as follows:

y = -x + 2, x ≥ 1.

Thus option C is the correct option for this problem.

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Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

The probability that the sample percentage will deviate from the population proportion by less than 3% is 0.9624, or 96.24%.

We must comprehend the central limit theorem and the normal probability distribution in order to answer this query.

Distribution of Normal Probabilities

The z-score formula can be used to address problems with normal distributions.

The z-score of a measure X in a set with mean and standard deviation can be calculated as follows:

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p-value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the probability that the measure's value is less than X, or the percentile of X. 1 is subtracted from the p-value, giving us the likelihood that the value of the metric exceeds X.

Imagine that 9% of a huge shipment of televisions were defective.

As a result, the sample size has a p value of 0.09

As a result, n=393

Standard deviation and the mean

u=p= 0.09

s= sqrt(p(1-p)/n)

s=sqrt(0.09*0.91/393)= 0.0144

What is the likelihood that the sample percentage and population proportion will deviate by less than 3%?

The ratio of 0.09 - 0.03 = 0.06 to 0.09 + 0.03 = 0.12 is the result of subtracting the p-value of Z when X = 0.12 from the p-value of Z when X = 0.06.

X = 0.12

By the Central Limit Theorem

Z= x-u/s

Z=2.08  has a p-value of 0.9812

X = 0.06

Z= x-u/s

Z=-2.08 has a p-value of 0.0188

0.9812 - 0.0188 = 0.9624

Therefore, The probability that the sample proportion and population proportion will deviate by less than 3% is 0.9624, or 96.24%.

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Answer:

Step-by-step explanation:

The probability that the sample percentage will deviate from the population proportion by less than 3% is 0.9624.

Distribution of Normal Probabilities

The z-score formula can be used to address problems with normal distributions.

The z-score of a measure X in a set with mean and standard deviation can be calculated as follows:

The Z-score calculates how far a measure deviates from the mean by standard deviation. We look at the p- value linked with this Z-score after determining the Z-score by consulting the z-score table. This p-value represents the probability that the measure's value is less than X, or the percentile of X. 1 is subtracted from the p-value, giving us the likelihood that the value of the metric exceeds X.

Imagine that 9% of a huge shipment of televisions were defective.

As a result, the sample size has a p value of 0.09

As a result, n=393

Standard deviation and the mean u=p=0.09 s= sqrt(p(1-p)/n)

s=sqrt(0.09*0.91/393)=0.0144

The ratio of 0.09 -0.03=0.06 to 0.09 + 0.03 =0.12 is the result of subtracting the p-value of Z when X = 0.12 from the p- value of Z when X = 0.06.

X = 0.12

By the Central Limit Theorem

Z=x-u/s

Z-2.08 has a p-value of 0.9812

X = 0.06

Z=x-u/s

Z=-2.08 has a p-value of 0.0188

0.9812 -0.0188=0.9624

Therefore, The probability that the sample proportion and population proportion will deviate by less than 3% is 0.9624, or 96.24%.

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The vector v with initial point (9, 2, 3) and terminal point (-7, -4, -1) has the component form v = <-16, -6, -4>, and its magnitude is sqrt(308). A unit vector in the direction of v is u = <-8/ sqrt(77), -3/ sqrt(77), -2/ sqrt(77)>.

Explanation:

To find the component form of the vector v, we subtract the coordinates of the initial point from the coordinates of the terminal point. We get:

v = <-7 - 9, -4 - 2, -1 - 3> = <-16, -6, -4>

Therefore, the component form of v is <-16, -6, -4>.

To find the magnitude of v, we use the formula:

|v| = sqrt(x^2 + y^2 + z^2)

where x, y, and z are the components of v. We get:

|v| = sqrt((-16)^2 + (-6)^2 + (-4)^2) = sqrt(308)

Therefore, the magnitude of v is sqrt(308).

To find a unit vector in the direction of v, we divide v by its magnitude:

u = v / |v| = <-16/sqrt(308), -6/sqrt(308), -4/sqrt(308)>

We simplify by rationalizing the denominator:

u = <-16/sqrt(308) * sqrt(77)/sqrt(77), -6/sqrt(308) * sqrt(77)/sqrt(77), -4/sqrt(308) * sqrt(77)/sqrt(77)>

u = <-8/ sqrt(77), -3/ sqrt(77), -2/ sqrt(77)>

Therefore, a unit vector in the direction of v is u = <-8/ sqrt(77), -3/ sqrt(77), -2/ sqrt(77)>.

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The correct function that gives the right syntax for the given data analysis is; =RIGHT(B3,5)

Data cleaning is defined as the process of fixing or removing data that are incorrect,  incorrectly formatted, duplicate, corrupted, or even incomplete data that exists within a dataset.

Now, when we combine multiple data sources, what it means is that there could be many opportunities for the data to be duplicated or mislabeled.

Now, from the question, we can see the given data of the spreadsheet with customer names and address and as such, we can easily say that the correct syntax is =RIGHT(B3,5). This is because the RIGHT Function usually returns a set number of characters from the right side of a text string.

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The largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9 has dimensions x = 1.5, y = 1, and z = 2.25, with a maximum volume of 3.375 cubic units.

To find the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9, we can use the method of Lagrange multipliers.

Let the sides of the rectangular box be represented by the variables x, y, and z. We want to maximize the volume V = xyz subject to the constraint x + 3y + 4z = 9.

The Lagrangian function is then given by L = xyz + λ(x + 3y + 4z - 9).

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we get:

yz + λ = 0

xz + 3λ = 0

x*y + 4λ = 0

x + 3y + 4z - 9 = 0

Solving these equations simultaneously, we get:

x = 1.5, y = 1, z = 2.25, and λ = -0.5625

Therefore, the maximum volume of the rectangular box is V = 1.512.25 = 3.375 cubic units.

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The domain of the given set of points is {-3, 0}, and the range is {6, 7, 8}. The domain consists of the x-values in the points, while the range consists of the y-values in the points.

In the given set of points ((-3, 7), (0, 6), (-3, 7), (-3, 8), (0, 6)), the domain represents all the unique x-values. From the set, we have x = -3 and x = 0. Therefore, the domain is {-3, 0}.

The range, on the other hand, consists of all the unique y-values. Looking at the set, we have y = 7, y = 6, and y = 8. Hence, the range is {6, 7, 8}.

The domain and range are important concepts in determining the set of valid inputs and outputs for a function or relation.

In this case, since the given points do not explicitly define a function or relation, we simply extract the unique x-values as the domain and the unique y-values as the range from the given set.



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To find the marginal density of X/Y, we need to integrate the joint density function fXY(x, y) over the range of Y. By performing the integration, we obtain the marginal density of X/Y as a function of X. The resulting marginal density provides information about the distribution of the ratio X/Y.

The marginal density of X/Y can be obtained by integrating the joint density function fXY(x, y) over the range of Y. In this case, the joint density function is given by:

fXY(x, y) =

  24xy    if x >= 0, y >= 0, and x + y <= 1

  0       otherwise

To find the marginal density of X/Y, we integrate fXY(x, y) with respect to y, while keeping x as a constant. The integration limits for y can be determined based on the given conditions x >= 0, y >= 0, and x + y <= 1. Since y must be non-negative, the lower limit of integration is 0. The upper limit of integration can be determined by the constraint x + y <= 1, which implies y <= 1 - x.

Integrating fXY(x, y) over the range of y, we obtain the marginal density of X/Y as follows:

fX/Y(x) = ∫[0 to (1 - x)] 24xy dy

Evaluating the integral, we have:

fX/Y(x) = 24x * ∫[0 to (1 - x)] y dy

       = 24x * [(y^2)/2] evaluated from 0 to (1 - x)

       = 12x * (1 - x)^2

The resulting marginal density fX/Y(x) represents the distribution of the ratio X/Y. It provides information about the likelihood of different values of X/Y occurring. The shape of the distribution can be further analyzed to understand the characteristics of the random variable X/Y.

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Answer:

x² - 8x + 12

Step-by-step explanation:

(x - 2) (x - 6)

x² -6x -2x + 12

x² - 8x + 12
The picture shows the equation like that, so I solve it that way!

Answer:

Step-by-step explanation:

\(\tt (x-2)(x-6)\)

Use the FOIL method:-

→ \(\boxed{\bf (a+b)(c+d)=ac+ad+bc+bd}\)

\(\tt x^2-6x-2x+12\)

Combine like terms:-

\(\tt x^2+(-6x-2x)+12\)

Simplify:-

\(\tt x ^2-8x+12\)

______________________

Hope this helps! :)

The probability of drawing a second green ball, given that the first ball is green is equals to the 11/24.

We have specify the probabilities values for selecting balls without replacement,

Probability of choosing two green ball

= 11/50

Probability of choosing one green ball

= 12/25

We have to determine the probability of drawing a second green ball, given that the first ball is green. Let us consider the two events as

A = Probability of second ball green

B = probability first ball is green = 12/25

P (A and B) = P (Both balls are green)

= 11/50

Fir determining the required probability we use conditional probability formula,

P ( A/B ) = P( A and B) / P (B)

Plug all known values in above formula,

P ( A/ B) = ( 11/50)/(12/25)

= (11 × 25)/(50×12)

= 11/24

Hence, required probability value is equals to 11/24.

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To calculate the ocean freight charges in Canadian dollars, we need to determine the volume of each cargo and convert the volume to cubic meters (m³) since the ocean freight rate is given in USD per m³.

Calculate the volume of each cargo: Skid of Apple: Volume = length x width x height = 100 cm x 100 cm x 150 cm = 1,500,000 cm³. Box of Orange: Volume = length x width x height = 35" x 25" x 30" = 26,250 in³. Convert the volumes to cubic meters: Skid of Apple: 1,500,000 cm³ ÷ (100 cm/m)³ = 1.5 m³. Box of Orange: 26,250 in³ ÷ (61.0237 in/m)³ ≈ 0.43 m³. Calculate the total volume of both cargos: Total Volume = (2 skids of Apple) + (3 boxes of Orange) = 1.5 m³ + 0.43 m³ = 1.93 m³. Convert the ocean freight rate from USD to CAD:  Ocean Freight Rate in CAD = $250 USD/m³ × (1.25 CAD/USD) = $312.50 CAD/m³.

Calculate the ocean freight charges in Canadian dollars: Ocean Freight Charges = Total Volume × Ocean Freight Rate = 1.93 m³ × $312.50 CAD/m³. Therefore, the ocean freight charges for the given shipment in Canadian dollars will be the calculated value obtained in step 5.

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Answer:

Step-by-step explanation:

Shen's chocolate bar is 67% cocoa. If the weight of the chocolate bar is 59 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.

Answer:

Less

Step-by-step explanation:

4 meters is 4000 mm. Since 4000>3821, you know that 3821 is less than 4 meters.

The number of miles Alang took a taxi is 10

Alang took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.80

The fare per mile is $2

The total fare was $21.80, not including the tip.

Let the number of mile is x

total fare = pick up fee + fee per mile

21.80 = 1.80 + 2x

2x = 20

x = 10

Therefore, the number of miles Alang took a taxi is 10

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The costs of carrying inventory do not include the interest on funds tied up in inventory. The firm's operating income at sales of 30,000 units will be $30,000. The correct answer is $30,000.

Calculate the firm's operating income at sales of 30,000 units, we first need to calculate the total contribution margin, which is the contribution margin per unit multiplied by the number of units sold:
Contribution margin per unit = $3.00
Number of units sold = 30,000
Total contribution margin = $3.00 x 30,000 = $90,000
Next, we can calculate the firm's total operating expenses, which are the fixed costs of $60,000:
Total operating expenses = $60,000
Finally, we can calculate the firm's operating income by subtracting the total operating expenses from the total contribution margin:
Operating income = Total contribution margin - Total operating expenses
Operating income = $90,000 - $60,000
Operating income = $30,000
Therefore, the firm's operating income at sales of 30,000 units will be $30,000. The correct answer is $30,000.

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Answer:

a) \(\sf x = 1.1\)    b) \(\sf x = 1.5\)

solving steps:

a)

\(\sf 2.6 * x = 2.86\)

\(\sf x = \frac{2.86}{2.6}\)

\(\sf x = 1.1\)

b)

\(\sf x * 1.2 = 1.8\)

\(\sf x = \frac{1.8}{1.2}\)

\(\sf x = 1.5\)

The possible dimensions of the rectangular sandbox cover that can protect an area of 72 square meters are 4 m by 18 m and 8 m by 9 m.

To find the possible dimensions, we need to determine the length and width combinations that result in an area of 72 square meters. We can calculate the area of each option to verify if it matches the given area.

Option: 2 m by 36 m

Area = 2 m × 36 m = 72 square meters (matches the given area)

Option: 8 m by 9 m

Area = 8 m × 9 m = 72 square meters (matches the given area)

Option: 8.5 m by 8.5 m

Area = 8.5 m × 8.5 m = 72.25 square meters (doesn't match the given area)

Option: 4 m by 18 m

Area = 4 m × 18 m = 72 square meters (matches the given area)

Option: 6 m by 12 m

Area = 6 m × 12 m = 72 square meters (matches the given area)

Option: 7.5 m by 9.5 m

Area = 7.5 m × 9.5 m = 71.25 square meters (doesn't match the given area)

Therefore, the possible dimensions of the cover that can protect an area of 72 square meters are 4 m by 18 m and 8 m by 9 m.

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The simplified value of the exponential expression 3³ is 27

An equation is an expression that can be used to show the relationship between numbers and variables.

Exponent simply mean raising a number to a power. It is also called power or indices. It is given as:

a² = a * a;

a³ = a * a * a

Given the expression:

3³

Applying the law of exponents:

3³ = 3 * 3 * 3 = 27

3³ is 27

The simplified value of the exponential expression 3³ is 27

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The length of two sides is given as 17 cm and 5 cm, then the length of side YZ by Pythagoras' theorem will be equal to 16.25 cm.

According to the Pythagoras theorem, the square on the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of squares of the remaining two sides.

As per the given values in the question,

The length of two sides is given as 17 cm and 5 cm.

As per Pythagoras' theorem,

h² = p² + b²

17² = 5² + b²

b² = 289 - 25

b = √264

b = 16.25 cm.

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