Describe the transformation of LM to L'M'.
10-8
10%
8
6 M
2
6
-8
M
4 6 8 10
OA. LM is translated 5 units left and 2 units up to L'M'.
O B. LM is translated 5 units right and 2 units down to L'M'.
OC. LM is reflected over the x-axis to L'M
O'D. LM is reflected over the yaxis to L'M'.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

Step-by-step explanation:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer: first number is the slope, second number is the y intercept

1: 2 , -8

2: -2/3, -2

3: 1/2, 5

4: -1/3, 3

5: 1, 0

6: -2/3, 4

7: 3, 16

8: -1/4, 8

9: 1/4, 6

Step-by-step explanation:

Y-INTERCEPT:

The y- axis is the middle line going vertical (up down)

You have to look at the CROSSING line to find through which number the line crosses the y-axis

on #1 the line crosses exactly through -8 on the y axis, therefore -8 is the y-intercept

SLOPE:

the slope is (rise over run) rise/ run: to find it the top number is the rise (how far up you go), the bottom number is the run (how far over you go)

you want to find the next point of interception from the y intercept that goes directly through both an x and y plot, so for #1: (1,4) goes right though a x and y plot. You want to start at the y-intercept and count how many squares OVER you go (2) and how many squares UP you go (1) to get from the y-intercept to the next perfect intercept.

With the 2 squares over and 1 square up, the slope is 2/1 or 2

If the line is going DOWN from left to right, whatever slope you get is NEGATIVE

Answer: Sample IQR appears to be a biased estimator since it consistently underestimated the population IQR.

Step-by-step explanation: Checked by Khan Academy

Sample IQR appear to be a biased estimator of population IQR.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Matilda was curious if sample interquartile range (IQR) was an unbiased estimator of population IQR.

She placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The IQR of the population is 16.

She then took a random sample of 5 balls and calculated the IQR of the sample.

She replaced the balls and repeated this process for a total of 50 trials. Her results are summarized in the dot plot below, where each dot represents the sample IQR from a sample of 5 balls.

Sample range appears to be a biased estimator since it consistently underestimated the population range.

The sample ranges appear to be centered below 32.

Therefore, the sample IQR is a biased estimator.

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Answer:

-188

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.

\(3^{2c} + 1 = 28\times3^c - 9 \implies 3^{2c} - 28\times3^c = -10\)

Complete the square on the left side:

\(3^{2c} - 28\times3^c = \left(3^{2c}-28\times3^c+14^2\right)-14^2 = \left(3^c-14\right)^2 - 196\)

Then the equation becomes

\(\left(3^c-14\right)^2 - 196 = -10 \\\\ \left(3^c-14\right)^2 = 186 \\\\ 3^c - 14 = \pm\sqrt{186} \\\\ 3^c = 14\pm\sqrt{186}\)

Both 14 + √186 and 14 - √186 are positive numbers, so we can take the logarithm (base 3) of both sides without issue:

\(\log_3\left(3^c) = c = \log_3\left(14\pm\sqrt{186}\right)\)

Then in increasing order, the solutions are

c = log₃(14 - √186), c = log₃(14 + √186)

Answer:

1/3

Step-by-step explanation:

There are 6 sides on a dice. These are two of the possibilities. 2/6 is the same as 1/3.

well you want it to land on 5 or 6

so thats 2/6

6 divided by 2 is three

2 divided by 2 is 1

so, 1/3

Answer:B is correct.

Step-by-step explanation:

Slope is a rate of change, so A is correct. Slope can be found on a graph by counting the vertical change (rise) over the horizontal change (run);

The height of the can of cylinder shape is 9.14 cm.

What is a cylinder?

In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.

We are given the diameter as 4 cm.

So, the radius is 2cm.

Also, it is given that the surface area of the can is 140 square centimeters.

So, using the surface area of cylinder, we get

⇒Area = 2πr (h + r)

⇒140 = 2π * 2 (h + 2)

⇒140 = 4π (h + 2)

⇒140 = 4 * 3.14 * (h + 2)

⇒140 = 12.56 * (h + 2)

⇒11.14 = h + 2

⇒h = 9.14

Hence, the height of the can of cylinder shape is 9.14 cm.

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Using improper fractions, it is found that the percent of increase in the temperature of the solution was of 76.08%.

The conversion is made according to the following formula:

\(a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}\)

In this problem, the initial temperature was given by:

\(9\frac{4}{5} = 9 + \frac{4}{5} = 9.8\)

The final temperature was given by:

\(17\frac{1}{4} = 17 + \frac{1}{4} = 17.25\)

The percent change is given by the change divided by the initial temperature, and multiplied by 100%. Hence:

\(C = \frac{17.25 - 9.8}{9.8} \times 100\% = 76.02\%\)

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The value of XZ is given by 26.

Given that the triangles RST and XYZ are congruent to each other.

So, RS = XY, since corresponding parts of Congruent triangles are equal.

Given also that,

RS = 11x-1

XY = 9x+5

XZ = 7x+5

So, RS = XY gives

11x-1 = 9x+5

11x-9x = 5+1

2x = 6

x = 6/2

x = 3

Substituting the value of x in the value of XZ is given by,

XZ = 7x+5 = 7*3+5 = 21+5 = 26

Hence the value of XZ is 26.

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The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given range

STEP 2: Find the cosecant function

Hence, the cosecant function is

Answer:

The value of the cosine function at 37º is 0.80. A. 0.80

Step-by-step explanation:

The correct statement is: "If the secant of 37º is 1.25, the cosine value to the hundredths degree is:"

Secant and cosine functions are related by the following trigonometric identity:

\(\sec 37^{\circ} = \frac{1}{\cos 37^{\circ}}\)

\(\cos 37^{\circ} = \frac{1}{\sec 37^{\circ}}\)

\(\cos 37^{\circ} =\frac{1}{1.25}\)

\(\cos 37^{\circ} = 0.80\)

The value of the cosine function at 37º is 0.80. The right answer is A.

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

\(4x + 3 + x + 27 = 180\\\\5x + 30 = 180\\\\5x = 150\\\\x = 30\)

Answer:

2/21

Step-by-step explanation:

Answer:

78.7

Step-by-step explanation:

2 m = 78.7402

Rounded to nearest tenth-

78.7

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

Yes

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller lengths have to add up to be greater or equal to the largest side length.

since 7+8=15, and 15>14, the answer is yes.

The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:

1. Allowance for Doubtful Accounts

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance          $56,500

Dec. 31 Bad Debts Expenses                   $55,470

Totals                                        $116,005  $116,005

Accounts Receivable

Accounts                                          Debit               Credit

Jan. 1 Beginning balance           $2,290,000

Jan. 19 Allowance for Doubtful           2,560

Jan. 19 Cash                                                            $2,560

Apr. 3  Allowance for Doubtful                                14,670

July 16  Allowance for Doubtful                              19,725

July 16  Cash                                                             6,575

Nov. 23  Allowance for Doubtful         4,175

Nov. 23 Cash                                                             4,175

Dec. 31  Allowance for Doubtful                             25,110

Dec. 31   Sales Revenue            8,020,000

Dec. 31   Cash                                               $8,944,420

Dec. 31 Ending balance                                 $1,299,500

Totals                                        $10,316,735 $10,316,735

3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)

Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)

Allowance for Doubtful Accounts

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance           $40,100

Dec. 31 Bad Debts Expenses                  $39,070

Totals                                        $99,605   $99,605

4. a. Bad Debt Expense for the year = $39,070

4.b. Balance for Allowance Accounts = $40,100

4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)

Data Analysis:

Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560

Jan. 19 Cash $2,560 Accounts Receivable $2,560

Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670

July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300

Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175

Nov. 23 Cash $4,175 Accounts Receivable $4,175

Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110

Accounts Receivable ending balance = $1,299,500

Allowance for Uncollectible Accounts ending balance = $56,500

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80 is diviser , 240 is dividend and 3 is quotient

Answer:

In the new mixture, the percentage of water with respect to its total is 13.33%.

Step-by-step explanation:

Given that in a liter of mixture 20% of it was water and the remaining 80% was pure milk, and that half a liter of wine was added to that liter of mixture, to determine the percentage of water in the new mixture is necessary to perform the following calculation:

20 + 80 + 50 = 150

150 = 100

20 = X

((20 x 100) / 150) = X

2,000 / 150 = X

13.33 = X

Thus, in the new mixture, the percentage of water with respect to its total is 13.33%.

The vertex of the given graph is (0,5).

The axis of symmetry is y = 5x.

The number of zeroes are 3.

The x intercepts are 0 and -5.

the y intercepts are (-3,0) and 0,-3).

A quadratic function's graph is called a parabola. According to Pascal, a parabola is a circle's projection. Galileo explained that projectiles falling under the influence of homogeneous gravity have a path known as a parabolic path. Many bodily movements have a curvilinear course with the shape of a parabola. In mathematics, a parabola is any mirror-symmetrical plane curve that typically has the shape of a U. Here, our goal is to comprehend the origin of the parabola's standard formula, its several standard forms, and its characteristics. A parabola is an equation of a curve where a point on the curve is equally far from a fixed point.

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