Tell whether each statement about the diagram is true or false.

A. B. m C. m D. m E. m
Due today. Please answer.

Answer:

Thus, 56/81 is equivalent fraction for 8/9 times of 7/9.

Step-by-step explanation:

Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

Let's fix this issue using a set of equations. Assume that x is the quantity of lollipops sold and y is the quantity of fruit snacks sold.

Then we have two equations based on the information given:

x + y = 13.(Total number of fruit snacks and lollipops sold)

1.5x + 1.25y= 18.25 (total amount of money earned)  

To solve for x and y, we can use the substitution method :

x + y = 13 (equation 1)

1.5x + 1.25y = 18.25 (equation 2)

From equation 1, we have x = 13 - y. Substituting this into equation 2, we get:

1.5(13 - y) + 1.25y = 18.25

Simplifying and solving for y, we get

19.5 - 0.25y = 18.25

-0.25y = -1.25

y = 5

Nakeisha therefore sold 5 fruit treats. We may change y = 5 into equation 1 and solve for x to get the quantity of lollipops sold:

x + 5 = 13

x = 8

Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.

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Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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To approximate the critical value to .15, 10 using Appendix Table 5 and linear interpolation (if necessary), the following steps should be taken:  

Step 1: Look for the table in Appendix Table 5 that has the probability closest to .15 in the column headings. The probability closest to .15 is .1492. Then, locate the row with the degrees of freedom closest to 10 in the first column headings, which is 10. Then, locate the intersection of this row and column to obtain the critical value of 1.812.Step 2: Look for the table in Appendix Table 5 that has the probability closest to .10 in the column headings. The probability closest to .10 is .1003. Then, locate the row with the degrees of freedom closest to 10 in the first column headings, which is 10. Then, locate the intersection of this row and column to obtain the critical value of 2.228.Step 3: Verify the approximation using technology (Use decimal notation. Give your answer to four decimal places.) to.15,10 = 1.812to.10,10 = 2.228.    

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Answer:

First you make 3/10=0.3 the 1/3=0.33 then 0.3+0.33=0.63

If point P(2k, k) is equidistant from A(-2, 4) and B (7,-5), the numerical value of k is 3.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

The distance between P(2k, k) and A(-2, 4) is:

d = √((2k - (-2))² + (k - 4)²)

d = √((2k +2)² + (k - 4)²)

The distance between P(2k, k) and B(7, -5) is:

d = √((2k - 7)² + (k - (-5))²)

d = √((2k - 7)² + (k + 5)² )

Since the distances are equal, we can set the two equations for d equal to each other and solve for k.

√((2k +2)² + (k - 4)²) = √((2k - 7)² + (k + 5)² )

Square both sides

(2k +2)² + (k - 4)² = (2k - 7)² + (k + 5)²

(2k +2)² + (k - 4)² = 5k² - 18k + 74

5k² + 20 = 5k² - 18k + 74

Collect like terms

5k² - 5k² + 18k = 74 - 20

18k = 74 - 20

18k = 54

k = 54/18

k = 3

Therefore, the value of k is 3.

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Answer:

\(\sqrt{12}\) units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg, then

x² + 2² = 4²

x² + 4 = 16 ( subtract 4 from both sides )

x² = 12 ( take the square root of both sides )

x = \(\sqrt{12}\) units

which can be simplified to 2\(\sqrt{3}\) units , if required.

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

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Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

m is the number of magazines, and b is the number of books.  If it costs $3.95 for each magazine, you will get 3.95m.  If it costs $8.95 for each book, you will get 8.95b.  Both of these values add up to the total, which is $47.65.

3.95m + 8.95b = 47.65

Answer:) 3.95m+8.59b=47.65

Step-by-step explanation:) edge 2023

Answer:

40 dollars.

Step-by-step explanation:

28=(.7)x

40=x

Thus, the original price was 40 dollars.

In any triangle, the greatest angle is opposite to the greatest side and the smallest angle is opposite to the smallest side.

Knowing that, first let's find the measure of the third angle, using the property that the sum of internal angles in any triangle is equal to 180°:

The smallest angle is C, so the smallest side is DE.

The greatest angle is E, so the greatest side is CD.

Therefore the order is:

DE < CE < CD

The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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Answer:

(x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units      

(x ,y ) →  ( x +6 , y - 10)

Step-by-step explanation:

Explanation:-

Type of Transformation                              Change to co-ordinate point

Vertical translation up 'd' units                         (x, y) → (x , y+d)

Vertical translation down 'd' units                    (x, y) → (x , y-d)

Horizontal translation left 'c' units                  (x ,y ) → (x - c , y)

Horizontal translation right 'c' units              (x ,y ) → (x + c , y)

Given (x , y) is translated to Horizontal translation right '6' units and

Vertical translation down '10' units      

There fore

(x ,y ) →  ( x +6 , y - 10)

Answer: B

Step-by-step explanation:

The sample is a three-stage cluster sample

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Answer:

Your answer(s) is $1,706.67, $1,462.86, or $1,280

Step-by-step explanation:

This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.

I'll list all three explanations and you can choose one.

6 people: 1,706.67 (rounded to nearest cent)

128 ÷ 6 = 21.33333333

21.33333333 × 80 = 1,706.67

7 people: 1,462.86 (rounded to nearest cent)

128 ÷ 7 = 18.28571428571429

18.28571428571429 × 80 = 1,462.86

8 people:

128 ÷ 8 = 16

16 × 80 = 1,280

The standard error of the sample mean of a given sample of 43 observations with standard deviation 8.85 is equal to 1.35 ( round to 2 decimal places).

As given in the question,

Population mean of the random variable 'μ' = 141

Standard deviation 'σ' = 8.85

Sample size 'N' = 43 observations

Standard error of the sample mean

= σ / √N

= 8.85 / √43

= 8.85 / 6.56

= 1.349

= 1.35 (round to 2 decimal places )

Therefore, for the given standard deviation and sample size the standard error of the sample mean is equal to 1.35.

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Answer:

(x+2)(2x+7) is the answer I think

Answer: (x +2)(2x+7)

Step-by-step explanation:

2x^2+11x+14

2x^2+7x+4x+14

Common factor from the two pairs:

(2x^2+7x) + (4x+14)

x(2x+7) +2(2x+7)

Rewrite in factorised form:

x(2x+7)+2(2x+7)

(x+2)(2x+7)

Answer:

5 cheeseburgers would be 12.50

Step-by-step explanation:

5 / 2 is 2.50 , 2.50 for one cheeseburger times 5 is 12.50

Answer: If two cheeseburgers are $5 the then one cheeseburger is 2.50

So 2.50 x 5 is 12.50

So it's 12.50 for 5 cheeseburgers

Answer:

To find the x intercept, set y=0 . The x intercept is (4,0) . To find the y intercept, set x=0 . The x intercept is (0,12) .

Step-by-step explanation:

I believe the answer is A. (4,0) (0,-12)

The relation R is reflexive, symmetric, and transitive, therefore, it is an equivalence relation. List of elements of [4] that is positive and less than 10 are {2,8} and there are infinitely many equivalence classes.

(a) To show that R is an equivalence relation, we need to show that it satisfies three properties: reflexivity, symmetry, and transitivity.

Reflexivity: For any integer n, we have 3|\((n^2 - n^2)\) = 0, so n R n. Therefore, R is reflexive.

Symmetry: If m R n, then \(3|(m^2 - n^2)\), so \(3|(-(m^2 - n^2))\) = \((n^2 - m^2).\)Thus, n R m. Therefore, R is symmetric.

Transitivity: If m R n and n R p, then \(3|(m^2 - n^2)\) and \(3|(n^2 - p^2)\), so \(3|((m^2 - n^2) + (n^2 - p^2)) = m^2 - p^2\). Thus, m R p. Therefore, R is transitive.

Since R is reflexive, symmetric, and transitive, it is an equivalence relation.

(b) The equivalence class [4] contains all integers n such that \(3|(4^2 - n^2) = 16 - n^2\). The positive integers less than 10 that satisfy this condition are 2 and 8. Therefore, [4] = {n element Z | \(3|(4^2 - n^2)\), 0 < n < 10} = {2, 8}.

(c) There are infinitely many equivalence classes since for any integer n, [n] = {m element Z | \(3|(m^2 - n^2)\)}.

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The solution is found below

Generally,  From the information, observe that Y is the discrete random variable with mean\($\mu_{\text {and variance }} \sigma^2$\)Consider W is the random variable and it is defined as W=2 Y

a)

Yes.

The mean of W is larger than the mean of Y.

That is, E(W)>E(Y)

Since in general \($(2 \times 2) > 2,(3 \times 3) > 3,(4 \times 4) > 4, \ldots, 2 Y > Y$,\)

2 Y  >Y

W  >Y

E(W)  >E(Y)

b)

Express \(E(W)=E(2 Y)_{\text {in terms of }} \mu=E(Y)$\)

\(\begin{aligned}E(W) & =E(2 Y) \\& =2 E(Y) \quad\left(\begin{array}{l}\text { Since } E(Y)=\mu \text { and } \\E(\{cg}(Y))=c E(g(Y))\end{array}\right) \\& =2 \mu\end{aligned}\)

Yes. Since the anticipated value of W is twice as great as the expected value of Y, this conclusion is consistent with section (a).

c)

Yes.

The Variance of W is larger than the variance of $Y$.

That is, V(W)>V(Y)

Since in general\((2 \times 2) > 2,(2 \times 3) > 3, \ldots, 2 Y > Y$\)

\(\begin{aligned}2 Y & > Y \\V(2 Y) & > Y \\V(W) & > V(Y)\end{aligned}\)

d)

Prove that \($V(W)=4 \sigma^2$\)

\(\begin{array}{rlrl}V(W) & =E\left\{\left(W-\mu_W\right)^2\right\} & & \\& =E\left\{(2 Y-2 \mu)^2\right\} & \left(\begin{array}{l}\text { Since } W=2 Y \text { and } \\E(W)=2 \mu\end{array}\right) \\& =E\left\{2^2(Y-\mu)^2\right\} & & \\& =E\left\{4(Y-\mu)^2\right\} & & \\& =4 E\left\{(Y-\mu)^2\right\} & & (\text { Since } E(c g(X))=c E(g(X))) \\& =4 \sigma^2 & & \left(\text { Since } E\left\{(Y-\mu)^2\right\}=\sigma^2\right)\end{array}\)

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Answer:

volume= 328,268.2 mm^3

Step-by-step explanation:

radius=66/2=33

volume=(radius^2)pi)(height)

volume=33^2(3.14)(96)

volume=328,268.2 mm^3

Answer: 328,268.2

Step-by-step explanation:

radius=66/2=33

volume=(radius^2)pi)(height)

volume=33^2(3.14)(96)

volume=328,268.2 mm^3

A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Answer:

8lb

Step-by-step explanation:

6+5+9=20

28-8=20

28/4=7

average=mean

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

-4. (e) (2-7)(5–3)+32. (-5)(2) +9. -10+9. -8710. 913 - 12 - 13. Ex: Evaluate 4x-7 when x=5. 4(5)-7 ... Ex: In the following exercise we show how two linear expressions are ... equivalency of the two expressions you determined to be equivalent above? ... Ex: Determine an expression that is equivalent to 10x+15? lox+1. 5(2X+3).

Step-by-step explanation:

Here is my notes hope it helped

Answer:

Hello! I Have the Correct Answer to This Question, 8,568 ways

Hope This Helps!

Explination:

C(18, 5) = 18!/((18 - 5)! 5!)

C(18, 5) = 18!/(13! 5!)

C(18, 5) = 14*15*16*17*18/(2*3*4*5)

C(18, 5) = 8,568 ways

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