The number of suits sold per day at a retail store is shown in the table. Find the variance. Number of suits sold 19 X 20 21 22 Probability P(X) 0.2 0.2 0.3 0.2 a. 2.1 b. 1.6 Oc13 O d. 11 23 0.1

The length of side t in triangle TUV is  162.6 inches.

To find the length of side t in triangle TUV, we can use the Law of Sines, which states that the ratio of a side length to the sine of its opposite angle is constant for all sides and angles in a triangle.

The Law of Sines is given by the formula:

sin(A) / a = sin(B) / b = sin(C) / c

In this case, we know the measures of angles V and T and the length of side u. Let's assign the unknown length of side t as 'x'. The equation for the Law of Sines becomes:

sin(151°) / 380 = sin(25°) / x

Now, we can solve for 'x' by cross-multiplying and rearranging the equation:

x = (380 * sin(25°)) / sin(151°)

Using a calculator, we can evaluate the right-hand side of the equation to find:

x ≈ (380 * 0.4226182617) / 0.9876883406

x ≈ 162.5586477

Therefore, the length of side t, to the nearest tenth of an inch, is approximately 162.6 inches.

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Answer:

-3.78= (-1.2y)+(-4.2y)

y= 0.7

Step-by-step explanation:

-3.78= (-1.2y)+(-4.2y)

-3.78= -5.4y

/-5.4    /-5.4

y=0.7

At \(4\) weeks, there is \(7ounce\) more total sap present than after \(2\) weeks.

The apostrophe is utilized prior to the letter "s" if it is one time measurement, as in "week's". Apostrophes are placed after the letter "s" if there are many time units involved, such as weeks.

A week is a span of seven days that was created artificially and without reference to the stars. The biblical narrative of the Creation, which states that God worked for six days before taking a day of rest on the seventh, and the ancient Israelites are widely credited with giving rise to the concept of the week.

Here, \(x=4\) and \(x=2\) is given

When \(x=4\), we get

\(y=3(4)+8\)

\(= 20\)

When \(x=2\), we get

\(y=3(2)+8\)

\(= 14\)

Difference \(=20-14=7\) ounce

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Answer: A

Step-by-step explanation:

the answer is A

Only one bill of lading (BoL) is required for the entire shipment and it doesn't matter how many stops the truck makes.

As per the question statement, we are supposed to tell that how many bill of lading is needed for one shipment.

Before solving this, we need to know that a bill of lading (BL or BoL) is a legal document that specifies the kind, quantity, and destination of the goods being transported and is issued by the carrier (transportation business) to the shipper.

Hence, only one bill of lading (BoL) is required for the entire shipment and it doesn't matter how many stops the truck makes.

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The probability of all four students needing another math class is 0.4096.

To find the probability that all four students need to take another math class, we need to use the concept of independent events. The probability of the first student needing another math class is 0.78, and the probability of the second student needing another math class is also 0.78.

Similarly, the probability of the third and fourth students needing another math class is also 0.78. Since these events are independent, we can multiply the probabilities together to get the probability of all four students needing another math class.

Therefore, the probability of all four students needing another math class is:

P = 0.78 x 0.78 x 0.78 x 0.78 = 0.4096

This means that there is a 40.96% chance that all four students randomly selected will need another math class.

It's important to note that this probability assumes that each student's math needs are independent of each other, and that the sample of four students is representative of the larger population of students at the college. If there are any dependencies or biases in the selection process or the population, the probability may be different.

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Complete Question:

78% of all students at a college still need to take another math class. If 4 students are randomly selected, find the probability that a. Exactly 2 of them need to take another math class. b. At most 2 of them need to take another math class. c. At least 2 of them need to take another math class. d. Between 2 and 3 (including 2 and 3) of them need to take another math class. Round all answers to 4 decimal places.

Answer: 256

Step-by-step explanation: The triangle needs to be multiplied 6x4 then 4 again for the sides of the triangle and divided by two. As for the rectangle you multiply the front which is 48 and the front is the back so 48+48 then the fours which are the bottom that then equals 16 do not use that for the top the top does not count because that is what the shapes are connected by then finally 48 for the top and bottom then add 48+48+48+48+16 to get your answer.

Answer:

its 1260°.

as by the formulae,

(n-2)×180°

we get,

sum of interior angle =(9-2)×180°

=1260°.....is anwer.

Answer:

→ √1.1025 is 1.05.

Step-by-step explanation:

Given that

√11025 = 105

Now,

√1.1025

⇛ √(11025/10000)

⇛ √(105²/100²)

⇛ √(105/100)²

⇛ 105/100

⇛ 1.05

∴ the square root√1.1025 is 1.05.

Answer:

If the square of 11025 is 105, then the square root of 1.10205 is 105 too.

Step-by-step explanation:

Hope it HELPS

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A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

A) We know that 17% of households spend more than $100 per week on groceries. We are given that p ( the proportion of the population that spends more than $100 per week) = 0.17

sample size (n)= 800

The sample proportion of p = 0.17

The standard error of p will be calculated using this formula =

\(\sqrt{\frac{p(1-p)}{n} }\) =\(\sqrt{\frac{0.17(1 - 0.17)}{800} }\)

=  0.013281

B) We have to find the probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = (P - p)/std deviation at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 =  -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

Therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

= 0.9345 - 0.0655 = 0.869

C) Now, we have to find the same probability for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

Therefore the required probability after applying;

z =   (P - p)/std deviation at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

= 0.9834 - 0.0166 = 0.9668

Therefore,

A) The sample proportion = 0.17, and standard error/deviation = 0.013281

B) 0.869

C)0.9668

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The complete question is " The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a sample of 800 households will be selected from the population. a. Show the sampling distribution of p, the sample proportion of households spending more than $100 per week on groceries. b. What is the probability that the sample proportion will be within ±.02 of the population proportion? c. Answer part (b) for a sample of 1600 households."

Rotating an image 90 degrees counterclockwise means turning the image so that it appears to be facing to the left. This can be done using various software programs, including image editors like Adobe Photoshop or online tools like PicMonkey.

In Adobe Photoshop, you can rotate an image 90 degrees counterclockwise by selecting the "Transform" option from the "Edit" menu. This will bring up a bounding box around the image, and you can then use the "Rotate" tool to turn the image counterclockwise.

If you are using an online tool, the process is similar. Simply upload the image you want to rotate, select the "Rotate" tool, and then choose the "90 degrees counterclockwise" option.

In conclusion, rotating an image 90 degrees counterclockwise is a straightforward process that can be done using various software programs and online tools. Whether you are editing photos for personal use or for a school project, understanding image manipulation is an important skill to have.

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The first term of the sequence is 68.

The term to term rule of a sequence is halve then add 10.

The 2nd term of the sequence is 44.

Therefore, the first term of the sequence can be calculated as follows:

let

the first term = x

Hence, the rule to get the next term in the sequence is as follows:

1 / 2 x + 10 = 44

1 / 2 x  = 44 - 10

1 / 2x  = 34

cross multiply

x = 34 × 2

x = 68

Therefore, the first term is 68.

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The closest option is D. $-0

To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.

Original sale price: 500,000 shares * $50 per share = $25,000,000

Repurchase price: 12,000 shares * $40 per share = $480,000

To calculate the gain or loss, we subtract the repurchase price from the original sale price:

Gain or Loss = Original Sale Price - Repurchase Price

            = $25,000,000 - $480,000

            = $24,520,000

Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.

The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.

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Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

3x - x + 4 = 4(2x + 1)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

3(0) - 0 + 4 = 4(2(0) + 1)

4 = 4(1)

4 = 4

Answer:

Step-by-step explanation:

3x - x + 4 = 4(2x +1)

2x + 4 = 8x + 4

2x - 8x = 4 - 4

-6x = 0

x = 0

let $p$ and $q$ be the two distinct solutions to the equation$$\frac{4x-12}{x^2 2x-15}=x 2.$$if $p > q$. The value of $p - q$ is 4.

To find the value of $p - q$, we first need to solve the given equation and determine the values of $p$ and $q$.

The equation is:

$$\frac{4x-12}{x^2 - 2x - 15} = x^2.$$

Step 1: Factorize the denominator:

The denominator can be factored as $(x - 5)(x + 3)$.

Step 2: Simplify the equation:

$$\frac{4x-12}{(x - 5)(x + 3)} = x^2.$$

Step 3: Multiply both sides of the equation by $(x - 5)(x + 3)$ to eliminate the denominator:

$$(4x - 12) = x^2(x - 5)(x + 3).$$

Step 4: Expand and rearrange the equation:

$$4x - 12 = x^4 - 2x^3 - 15x^2 + 25x.$$

Step 5: Rearrange the equation and combine like terms:

$$x^4 - 2x^3 - 15x^2 + 21x - 12 = 0.$$

Step 6: Factorize the equation:

$$(x - 3)(x + 1)(x - 2)(x + 2) = 0.$$

From this, we get four possible solutions: $x = 3$, $x = -1$, $x = 2$, and $x = -2$.

However, we are interested in the two distinct solutions $p$ and $q$, where $p > q$. Therefore, the values of $p$ and $q$ are $p = 3$ and $q = -1$.

Finally, we can find the value of $p - q$:

$$p - q = 3 - (-1) = 3 + 1 = 4.$$

Hence, the value of $p - q$ is 4.

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The total distance in meters the swimmer swims is 995 meters.

Based on the provided information, the diving watch records the location of the swimmer each time the swimmer turns around and after swimming for one hour, the watch shows the values which are measures in meters: 145, -260, 190, -300, 100.

In order to determine the total distance that the swimmer swam in an hour, the values shown on the watch are added. In case of negative values, the negative sign indicates the opposite direction, hence the negative sign is ignored when adding the values.

The total distance = 145 + 260 + 190 + 300 + 100 = 995 meters

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Therefore, one container can hold 20/9 tons of sugar.

To simplify this expression, we can convert the mixed number 3 3/5 to an improper fraction:

3 3/5 = (5*3 + 3)/5 = 18/5

So the expression becomes:

8 tons / (18/5) containers

To divide by a fraction, we can multiply by its reciprocal:

8 tons / (18/5) containers = 8 tons * (5/18) containers

Now we can simplify the expression and solve for the amount of sugar in one container:

8 tons * (5/18) containers = 40/18 tons/container = 20/9 tons/container

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Answer:

A is the correct answer

Answer:

D

Step-by-step explanation:

Hector took 1 hour and 25 mintues to finish the test. (D)!

According to the question The Simplex method to solve the following LP The optimal solution for the given LP is x₁ = 3, x₂ = 0, and the minimum value of z is -3.

To solve the given linear programming problem using the Simplex method, we first convert it into standard form. The objective function is to minimize z = -x₁ - 3x₂, subject to the constraints -x₁ + x₂ ≤ 3 and x₁ - 2x₂ ≤ 4, with the non-negativity conditions x₁, x₂ ≥ 0.

We set up the initial Simplex tableau with the coefficients and variables, as well as the right-hand side (RHS) values. The tableau is then modified through iterations to find the optimal solution.

In the first iteration, we choose the most negative coefficient in the z-row, which is -3 corresponding to x₂. We select the s₁-row as the pivot row since it has the minimum ratio of the RHS value (3) to the coefficient in the pivot column (1). We perform row operations to make the pivot element 1 and other elements in the pivot column 0. Therefore, the optimal solution for the given LP is x₁ = 3, x₂ = 0, and the minimum value of z is -3.

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The Simplex method is used to solve linear programming problems by iteratively improving the objective function value until the optimal solution is reached.

To solve the given linear programming problem using the Simplex method, we will follow these steps:

Step 1: Convert the problem into standard form:
  - Introduce slack variables, s₁ and s₂, for the two inequalities.
  - Rewrite the constraints as: -x₁ + x₂ + s₁ = 3 and x₁ - 2x₂ + s₂ = 4.
  - Introduce surplus variables, x₃ and x₄, for the negative variables in the objective function: z = -x₁ - 3x₂ + x₃ + x₄.

Step 2: Set up the initial tableau:
  - Create the initial simplex tableau by writing the coefficients of the decision variables and the right-hand side of the constraints.
  - Include the coefficients of the surplus variables, x₃ and x₄, in the objective function row.

Step 3: Perform the simplex method iterations:
  - Identify the pivot column by selecting the most negative coefficient in the objective function row.
  - Determine the pivot row by finding the minimum positive ratio between the right-hand side and the corresponding pivot column elements.
  - Perform row operations to make the pivot element equal to 1 and the other elements in the pivot column equal to 0.
  - Update the tableau by applying the row operations.

Step 4: Repeat the iterations until there are no more negative coefficients in the objective function row or the ratios become negative.

Step 5: Read the solution from the final tableau:
  - The optimal solution occurs when all coefficients in the objective function row are non-negative.
  - The values of the decision variables (x₁, x₂) are obtained from the corresponding columns in the tableau.
  - The optimal value of the objective function (z) is the negative of the value in the last column.

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Answer: $7.20 for 12 messages

Step-by-step explanation: 18 divided by 30 equals 0.6. Then multiply 0.6 times 12 which is 7.20. Hope this helps!!

Answer:

12 - 3z or 3 .9 - 3z

Step-by-step explanation:

1 - if it is just a "9" and not a "0 .9" the answer is "12-3z". You will have to isolate the expressions with the "z" (the 2z and the z). They have a "-" before them, so they are negative expressions (-2z and -z). When the letter is alone, we supose that is a whole, not a decimal, expression, so it is like "1z". After all, you will have two negative expressions, the "-1z" and the "-2z", then you will just add "-1z" and "-2x" (-1z + (-2z) = -1z -2z = -3z

Now, you will need to add "9" and "+3" (9 + (+3) = 9 + 3 = 12).

Now, you have a "-3z" and the "12", and you will add they (-3z + 12 = 12 + (-3z) = 12 - 3z).

2 - But, if it is a "0 .9" ( "0 .9" is the same of " .9" and not a "9" the answer is "3 .9 - 3z". Now it is the same as the number 1 (just do the same from the "You will have" to the "-1z -2z = -3z".

Now, you need to add "0 .9" and "+3" ( .9 + (+3) = .9 + 3 = 3 .9).

So, you have the "-3z" and the "3 .9", and you need to add them ( 3 .9 + (-3z) = 3 .9 - 3z ).

I recommend you to study more of rule of signs, like (-) + (-) = (+) and things like this.

Hope that I could help you

Answer:

Let's assume the number of people called is "x".

The ratio of successful signups to the number of people called is 0.125, which can also be written as 1/8. Therefore, the number of successful signups can be expressed as (1/8)x.

We know that the salesperson has 25 signups this month, so we can write the equation as:

(1/8)x = 25

To solve for x, we can multiply both sides by 8:

x = 200

Therefore, the salesperson called 200 people this month.

Answer:

20%

Step-by-step explanation:

The whole plank equals 100%, and 100 divided by 5 is 20, meaning that each piece represents 20%. If they were all added together it would equal 100! Hope this helps!!

Answer:

14

Step-by-step explanation:

18-18+8+6

0+14

14

hope this helped!

Answer:

Step-by-step explanation:

F = 6

P = 2

Then:

3.(6) - 9.(2) + 8 + 6

18 - 18 + 8 + 6

8 + 6

14

;D

The equation that shows the relationship between the number of seconds since the boy let the balloon go is y = 3x + 3.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A little boy accidentally let go of his balloon, and it floated away. It was 3 feet above the ground when he let go this height is our constant value in the function.

It steadily rose 3 feet per second.

Assuming time in seconds to be x and total height is y.

∴  An equation that shows the relationship between the number of seconds since the boy let the balloon go is,

y = 3x + 3.

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The answer is (a) 0.8161.

In statistical analysis, the proportion of the variation in the response variable (selling price) explained by the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) is known as the coefficient of determination or R-squared value. The R-squared value ranges from 0 to 1, where a value closer to 1 indicates that the predictor variables explain a higher proportion of the variation in the response variable. In this case, an R-squared value of 0.8161 suggests that the predictor variables (square footage, age, number of bedrooms, number of bathrooms, and number of garages) explain about 81.61% of the variation in the selling price.

The R-squared value is an important statistic in regression analysis, as it indicates the goodness of fit of the regression model. A high R-squared value suggests that the model fits the data well and can be used to make accurate predictions. However, a high R-squared value does not necessarily mean that the regression model is the best model for the data. It is important to also consider other factors such as model complexity and statistical significance of the predictor variables.

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We use Inferential Statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population.

Given that;

What kind of statistics is used to gauge the likelihood that a statistical finding based on information from a random sample is representative of the population the sample is presumed to have been drawn from?

Inferential Statistics:

You attempt to conclude using inferential statistics that go beyond the immediate facts alone. For instance, we use inferential statistics to try to infer what the population would think from the sample data. Alternately, we utilize inferential statistics to assess the likelihood that an observed difference between groups in this study is a reliable one or one that may have occurred by chance. Descriptive statistics are used to simply describe what's happening in our data, while inferential statistics are used to conclude more general conditions from our data.

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Answer:

0

Step-by-step explanation:

16-4 (3+2÷2)

16-4 (3+1)

16-4×4

16-16

0 ans.