what is the measure of B 25 C 25 A 25

Answer:

YES

Step-by-step explanation:

The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7

Answer: 15.3feet

Step-by-step explanation: Given the scale model of a train as;2cm = 3feet

We are to find the height of real train of height 10.2cm, we can write; 10.2cm = xDivide both expressions

2/10.2 = 3/x2x = 3×10.22x = 30.6x= 15.3

Hence the height if the real train is 15.3feet

The real height of the real train will be;

⇒ 15.3 feet

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

Jalen has a scale model of a train. 2 centimeters in the represents 3 feet in real train.

Now,

Since, Jalen has a scale model of a train. 2 centimeters in the represents 3 feet in real train.

And, The height of the model train is 10.2 centimeters.

Hence, In the scale model;

1 centimeter = 3/2 feet

Thus, We get;

10.2 centimeters = 10.2 × 3/2 feet

                          = 5.1 × 3 feet

                          = 15.3 feet

Therefore, The real height of the real train will be;

⇒ 15.3 feet

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Using the given data on the number of live multiple-delivery births for women aged 15 to 54, we need to calculate probabilities related to the age groups of the mothers. The probability of a randomly selected multiple birth involving a mother aged 30 to 39 will be determined, as well as the probabilities of not being in the age range, being less than 45, and being at least 40. Finally, we need to interpret whether a multiple birth involving a mother aged at least 40 is unusual.

(a) To calculate the probability of a randomly selected multiple birth involving a mother aged 30 to 39, we sum the number of multiple births in that age group and divide it by the total number of multiple births for women aged 15 to 54.

P(30 to 39) = 2822 / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(b) To find the probability of a randomly selected multiple birth involving a mother who is not aged 30 to 39, we subtract the probability found in part (a) from 1.

P(not 30 to 39) = 1 - P(30 to 39)

(c) To determine the probability of a randomly selected multiple birth involving a mother aged less than 45, we sum the number of multiple births for age groups below 45 and divide it by the total number of multiple births for women aged 15 to 54.

P(less than 45) = (89 + 508 + 1631 + 2822 + 1855 + 374) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

(d) To find the probability of a randomly selected multiple birth involving a mother aged at least 40, we sum the number of multiple births for age groups 40-44 and 45-54, and divide it by the total number of multiple births for women aged 15 to 54.

P(at least 40) = (374 + 119) / (89 + 508 + 1631 + 2822 + 1855 + 374 + 119)

Interpretation: The answer to part (d) will determine whether a multiple birth involving a mother aged at least 40 is unusual. If the probability is less than 0.05, it can be considered unusual. Therefore, we need to compare the calculated probability to 0.05 and select the correct choice.

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Answer:

Is 50

Step-by-step explanation:

I don’t know

(a) Purchase of the investment:

1 Available-for-Sale Securities $80,728

2 Cash (Payment for the investment) $80,728

(b) Receipt of annual interest and discount amortization:

1 Cash (Receipt of annual interest) $8,700

2 Discount on Bonds Payable (Amortization) $1,272

3 Investment Revenue (Interest Income) $7,428

(a) Journal entry for the purchase of the investment:

Date: January 1, 2020

Account Titles                  Debit     Credit

----------------------------------------------

Available-for-Sale Investments  $80,728

Cash                            $80,728

(b) Journal entry for the receipt of annual interest and discount amortization:

Date: End of the year (Assuming December 31, 2020)

Account Titles               Debit   Credit

-------------------------------------------

Cash                          $10,400

Interest Revenue              $7,728

Discount on Bonds Investment  $2,672

The cash received is the annual interest payment calculated as 10% of the face value of the bonds ($87,000 x 10%).

(c) Journal entry for the year-end fair value adjustment:

Date: End of the year (Assuming December 31, 2020)

Account Titles             Debit     Credit

------------------------------------------

Fair Value Adjustment                 $2,150

Unrealized Gain or Loss               $2,150

The fair value adjustment account is credited to increase its balance to reflect the increase in the fair value of the investment.

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Waterway Industries made cash payments of $124,130,000 for income taxes during 2022.

To determine the cash payments made for income taxes during 2022, we need to consider the change in income taxes payable from the beginning to the end of the year. The change in income taxes payable represents the net increase or decrease in the amount owed to tax authorities. In this case, the income taxes payable at the beginning of the year (December 31, 2021) was $313,010,000, and the income taxes payable at the end of the year (December 31, 2022) was $596,640,000. Therefore, the change in income taxes payable is calculated as follows:

Change in income taxes payable = Income taxes payable at December 31, 2022 - Income taxes payable at December 31, 2021

= $596,640,000 - $313,010,000

= $283,630,000

The change in income taxes payable represents the amount of income taxes that were paid during 2022. Thus, Waterway Industries made cash payments of $283,630,000 for income taxes during the year.

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Answer:

16. A and C; 17. All triangles

Step-by-step explanation:

Reflection over x is just "flipping upside-down as if turning the page over holding the ends of x axis", so it's A and C

Congruent means "have same sides and angles" and all the triangles are the same that way.

Step-by-step explanation:

h(x)=-x-4

but h(x)=4

4=-x-4

x=-4-4

x=-8

Answer:

11 magazines

Step-by-step explanation:

4 & 2/5 = 22/5

22/5 divided by 11 = 4 2/5

When 67,000 is rounded to the nearest ten thousand then we get 70,000

When you round to the nearest 10 thousand. Find the number in the 10 thousand place, that would be the  6 in this case, now look at the number to the right of it, if that number is 5 or higher, then your 67,000 becomes 70,000.

If the number to the right of place value is lower than 5 then it would have been rounded to 60,000.

The digits in the thousands, hundreds, tens, and ones should be changed to 0 if the number is less than 5, but the other digits should remain the same. If it is 5 or more, increase the digit in the tens of thousands by 1 and replace the digits in the thousands, hundreds, tens, and ones with 0.

Hence the nearest round of to ten thousand is 70,000.

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Grey will record interest during the year totaling $500.

For the stated question-

Borrowed money from national bank =  $15,000.

Time 120 days.

10% interest-bearing note

Thus, interest during the year;

interest = 15000 x 120 x 0.10 / 360 (days)

interest = 500

Thus, Grey will record interest during the year totaling $500.

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Therefore, the approximate area of the tablecloth is 2,826 square inches, which is closest to the option 2,827 square inches.

To find the approximate area of the tablecloth, we can first calculate the radius of the table by dividing the diameter by 2.

Radius of the table = 48 inches / 2 = 24 inches

Next, we need to calculate the radius of the tablecloth, which is the sum of the radius of the table and the overhang.

Radius of the tablecloth = Radius of the table + Overhang = 24 inches + 6 inches = 30 inches

Now, we can calculate the area of the tablecloth using the formula for the area of a circle:

Area of the tablecloth = π * (Radius of the tablecloth)²

Using the value of π as approximately 3.14:

Area of the tablecloth = 3.14 * (30 inches)²

= 3.14 * 900 square inches

= 2,826 square inches (rounded to the nearest whole number)

Therefore, the approximate area of the tablecloth is 2,826 square inches, which is closest to the option 2,827 square inches.

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The determinant of the inverse of matrix A, det(A⁻¹ ), is equal to the reciprocal of the determinant of matrix A, i.e., 1/det(A).

If A is an invertible matrix, then the determinant of A is non-zero, i.e., det(A) ≠ 0.

We know that the determinant of a matrix is related to its inverse by the following equation:

det(A) det(A⁻¹) = det(A A⁻¹) = det(I) = 1,

where I is the identity matrix.

Multiplying both sides of the equation by det(A⁻¹), we get:

det(A⁻¹) = 1/det(A)

Therefore, the determinant of the inverse of matrix A, det(A⁻¹), is equal to the reciprocal of the determinant of matrix A, i.e., 1/det(A).

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Answer:

Step-by-step explanation:

The slope of a perpendicular line, to one that has slope of 2, is the negative inverse of the reference slope.  The negative inverse of 2 is -(1/2).  The perpendicur line will have the form y = -(1/2)x + b, where b is the y-intercept.  Any value of b will produce a perpendicular line to one that has slope of 2, but this line needs to go through point (0,-3).  To find the value of b that would make this happen, just use that point in the equation y = -(1/2)x + b and solve for b:

y = -(1/2)x + b

-3 = -(1/2)*(0) + b

b = -3

The equation becomes y = -(1/2)x - 3

I graphed this versus a line with slope 2 and y-intercept of 2:  y=2x+2

Answer:

(7,61)

Step-by-step explanation:

When x is 7, y is 61

Answer:

\((x+1)(x-2)(x-4)\)

Step-by-step explanation:

By the Rational Root Theorem, possible rational solutions for the given polynomial are \(\pm1,\pm2,\pm4,\text{ and}\pm8\), so we can test each one:

1 |  1  -5   2   8

____ 1_-4_-2

    1  -4  -2 | 6 <-- (x-1) IS NOT a root

-1 |  1  -5   2    8

____-1_ 6_ -8

     1  -6   8  | 0 <-- (x+1) IS a root

So, \(x^3-5x^2+2x+8=(x+1)(x^2-6x+8)=(x+1)(x-2)(x-4)\)

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer: The slope is 3.

Step-by-step explanation: Hope this helps :)

Answer:

\(y=\frac{3}{4} x+3\)

Step-by-step explanation:

Line a & b are parallel

Line c is perpendicular to both lines a & b

Step-by-step explanation:

Let's solve for y in all the lines, starting with line a

-3x - 12y = 36

Add 3x to both sides

-3x - 12y = 36

+ 3x          + 3x

-12y = 3x + 36

Divide both sides by -12

-12y/-12 = (3x + 36)/-12

y = -x/4 - 3

Now for line b

x + 4y = 2

- x      - x

4y = -x + 2

4y/4 = (-x + 2)/4

y = -x/4 + .5

Since line a and b have the same slop, they are parallel

Notice how their slops are opposite and flipped of line c, 4x, making them perpendicular to line c.

Green = line a

Blue = line b

Purple = line c

The length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

According to the question, we are required to determine the length of line JL.

However, the coordinates of the end points of line JL are given as;

The length of line JL is given by Pythagoras theorem as;

JL = 13.

Therefore, the length of line JL which has endpoints J(8,10) and L(20,5) is; JL = 13.

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Answer:

$0.35

Step-by-step explanation:

2.10/6

0.35

Hope it is useful

Answer:

0.35 cents

Step-by-step explanation:

6 : 2.10

I        I

v       v

1 : 0.35

Hope this helps!

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).

To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:

1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.

2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).

3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.

4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).

Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.

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The problem where the professor states that the average age of students in the university is 21 years is an example of statistical inference.

Statistical inference is the process of using data from a sample to make inferences or conclusions about a population. It allows us to draw conclusions about a larger group of individuals or objects based on information from a smaller sample. It is a fundamental part of statistical analysis and is used in many fields, including research, business, and government.

Statistical inference includes two main types: estimation and hypothesis testing.

Estimation: This involves using sample data to make estimates about population parameters. For example, using the sample mean to estimate the population mean or the sample proportion to estimate the population proportion.

Hypothesis testing: This involves using sample data to test a claim or hypothesis about a population parameter. For example, testing the claim that a coin is fair, based on the proportion of heads in a sample of coin flips.

The goal of statistical inference is to use the information from a sample to make informed decisions or predictions about a population. It allows us to draw general conclusions from a specific set of data, and it is an essential tool for making sense of data in many fields.

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Answer:

Data set A best fit by the regression line.

Answer:

Data Set C.

Step-by-step explanation:

Well just even by common sense, the line for "data set A" is not good for the points on the graph

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

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It is less likely to randomly meet someone who obtained a SAT score of over 1150.

Z score or standard score is defined as the number of standard deviations by which the observed value is above or below the mean value.

The formula for calculating z score is,

z = (x - μ) / σ

where x is the observed value, μ is the population mean and σ is the population standard deviation.

For IQ scores,

z = (80 - 100) / 16 = -1.25

For SAT scores,

z = (1150 - 1000) / 100 = 150/100 = 1.5

z score is closer to 0 for IQ scores and far to 0 for SAT scores.

Hence it is less likely to meet someone who obtained a SAT score of over 1150.

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