Charlie bought two books at the bookstore. The first book cost $8.98 and the second book cost $17.78. How much did Charlie spend on the two books? *
1 point
$26.66
$26.76
$26.86
$15.66

Answer: 60

Step-by-step explanation:

Line=180 degrees

180-120=60

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A) The ratio of the perimeters of the two similar parallelogram signs is 9 : 14.

Explanation: Since the two parallelogram signs are similar, their side lengths are in the same ratio. The perimeter of a parallelogram is the sum of all its side lengths, so the ratio of the perimeters will be the same as the ratio of the side lengths.

B. The ratio of the areas of the two similar parallelogram signs is 81 : 196.

Explanation: The area of a parallelogram is calculated by multiplying the base by the height. If the two parallelogram signs are similar, then the ratio of their base lengths and the ratio of their heights will be the same as the ratio of their side lengths (which is 9 : 14). Therefore, the ratio of the areas of the two parallelogram signs will be the square of the ratio of their side lengths, or (9 : 14)^2 = 81 : 196.

C. The side length of the corresponding side of the larger sign is 63 feet.

Explanation: Since the side lengths of the two parallelogram signs are in the ratio of 9 : 14, the ratio of the length of a side of the smaller sign to the length of the corresponding side of the larger sign is 9 : 14. If the smaller sign has a side length of 45 feet, then the larger sign has a side length of (14/9) * 45 = 63 feet.

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The solution is

a) The ratio of the perimeters of the similar parallelogram is 9 : 14

b) The ratio of the areas of the similar parallelogram is 81 : 196

c) The corresponding side length of the parallelogram is 70 feet

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the two parallelograms be similar

Now ,

The corresponding side lengths of two similar parallelogram signs is in the ratio 9 : 14

The perimeters of the parallelograms will also be in the same ratio because perimeter of a parallelogram is the sum of all its side lengths

And ,

A parallelogram's area is determined by dividing the base by the height. The ratio of the base lengths and heights of the two parallelogram signs will be the same as the ratio of the side lengths if the two parallelogram signs are comparable.

So , the areas of the parallelogram is in the ratio 81 : 196

And ,

Let the length of the second parallelogram be 45 feet

So , the corresponding length of the larger length is A =

9 / 14 = 45 / A

On simplifying the equation , we get

A = ( 14 x 45 ) / 9

A = 14 x 5

A = 70 feet

Therefore , the value of A is 70 feet

Hence , The ratios of the parallelograms are calculated and the length is 70 feet

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To make a division between two integer, for example -6÷5. The first thing we need to do is:

• Define the sign of the result.

For that we use the law of signs:

• when you divide a negative number by a positive number, the answer will be negative.

• When you divide a positive number by a negative number, the answer will be also negative

• When you divide a negative number by a negative number, the answer will be a positive number.

In this example, we have the first case, so the answer will be negative.

Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:

And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.

The estimated salary for an employee with 18 years of experience is $65,856.46.

To find the estimated salary for an employee with 18 years of experience using the given regression equation, follow these steps:

1. Identify the regression equation: Estimated Salary = 21,640.90 + 2456.42 (Years of Experience)

2. Substitute the given years of experience (18 years) into the equation:

Estimated Salary = 21,640.90 + 2456.42(18)

3. Multiply 2456.42 by 18: 2456.42(18) = 44,215.56

4. Add 21,640.90 to the result from step 3: 21,640.90 + 44,215.56 = 65,856.46

The estimated salary for an employee with 18 years of experience is $65,856.46.

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Let AB be the tower with C at the top. Let P be the position of the plane such that the angle of elevation is 1°. Let the distance PC be h ft. The distance from the plane to the foot of the tower is 25,000 ft - the height of the plane above the ground (20,000 ft), which is 5,000 ft.

The distance PC is the same as the perpendicular height of the triangle. Therefore, `tan 1° = h / 25,000`. We can solve this equation for  \(h: `h = 25,000 tan 1° ≈ 436.24 ft`.\) To find how many feet the plane must rise to pass over the tower, we need to find the length of the line segment CD,

which is the height the plane must rise to clear the tower. We can use trigonometry again: `tan 89° = CD / h`. Since `tan 89°` is very large, we can approximate `CD ≈ h / tan 89°`.Therefore, `\(CD ≈ 436.24 / 0.99985 ≈ 436.29 ft`\).Thus, the plane must rise approximately 436.29 feet to pass over the tower.

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Answer:

x ≤ 205.05

Step-by-step explanation:

x = dollar amt remaining for other books

30 + 14.95 + x ≤ 250

44.95 + x ≤ 250

x ≤ 205.05

x ≤ $205.05 is an inequality that correctly describes this situation.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's use x to represent the amount of money Ms. Edwards can spend on other books.

We know that Ms. Edwards can spend at most $250 in total and that she will already spend $30 + $14.95 = $44.95 on the reference books on birds and planets.

Therefore, the amount she has left to spend on other books is:

x = $250 - $44.95

x = $205.05

Ms. Edwards can spend up to $205.05 on other books.

To write this as an inequality, we can use the less than or equal symbol since Ms. Edwards cannot spend more than $205.05:

x ≤ $205.05

Therefore, the inequality that correctly describes this situation is:

x ≤ $205.05

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To find critical points, we need to find the points where the first derivative of the function is equal to zero or does not exist.

Critical points are points on a function where the function changes its behavior, such as increasing to a maximum or decreasing to a minimum.

To find critical points, we need to find the points where the first derivative of the function is equal to zero or does not exist. The first derivative of a function gives us the rate of change of the function at any given point. If the first derivative is equal to zero at a point, it means that the rate of change of the function is equal to zero, which could indicate a maximum or minimum. If the first derivative does not exist at a point, it means that the function has a sharp change in direction at that point, which could indicate a corner or a discontinuity.

In conclusion, finding critical points is an important step in understanding the behavior of a function. By setting the first derivative equal to zero and using the second derivative test, we can determine if a critical point is a local maximum, local minimum, or a saddle point. This information helps us understand the overall shape of the function and its behavior.

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Answer:

You are correct! But note the syntax:

the computer wants you to type in the box

2/3 x - 2

because "y =" is already written!

Step-by-step explanation:

The union of two sets is to avoid counting the same elements twice.

The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.

Given union of set

(A ∪ B),

The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.

let us take example,

A = { 1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

(A ∪ B) = { 1, 2, 3, 4} ∪  {3, 4, 5, 6, 7}

we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.

(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}

Hence the  union of two sets is a set that contains all the elements of both set and avoid duplicates.

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(a) The population proportion of success is given as 53%. This means that 53% of the population is expected to have a successful outcome from the flu shot.

To calculate the population proportion of success, we are given that the flu vaccine is effective for 53% of patients administered the shot. This means that 53% (or 0.53) of the entire population is expected to have a successful outcome from the flu shot.

(b) The mean of the sampling distribution of the sample proportion is also 53%.

The mean of the sampling distribution of the sample proportion can be calculated using the same population proportion of success, which is 53%. The sampling distribution represents the distribution of sample proportions if multiple samples of the same size are taken from the population. Since the mean of the sampling distribution is equal to the population proportion, the mean in this case is also 53%.

(c) The standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

To calculate the standard deviation of the sampling distribution of the sample proportion, we use the formula:

\(\sigma = \sqrt{\frac{p \cdot q}{n}}\)

where σ represents the standard deviation, p is the population proportion of success (0.53), q is the complement of p (1 - p, which is 0.47), and n is the sample size (85).

Plugging in the values, we get:

\(\sigma = \sqrt{\frac{0.53 \cdot 0.47}{85}}\)

Calculating this expression, we find:

\(\sigma \approx \sqrt{\frac{0.0251}{85}} \approx \sqrt{0.000295} \approx 0.0171\)

Rounding this value to three decimal places, the standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

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TRUE, the alternative hypothesis plays a crucial role in hypothesis testing as it represents the researcher's desired outcome or the hypothesis they hope to demonstrate.

The statement is true. In the hypothesis testing framework, the alternative hypothesis is a mathematical formulation or representation of the thing that the experimenter hopes to show or prove. It represents the alternative possibility or claim that the experimenter believes to be true, in contrast to the null hypothesis.

The null hypothesis assumes no significant difference or effect, while the alternative hypothesis suggests that there is a difference, effect, or relationship between variables of interest. The alternative hypothesis is typically formulated based on the research question, prior knowledge, or expected outcomes.

During hypothesis testing, the goal is to evaluate the evidence from the data and determine if it supports rejecting the null hypothesis in favor of the alternative hypothesis. The sample statistic or test statistic is compared against its distribution under the null hypothesis to assess the likelihood of observing such a statistic if the null hypothesis were true.

Therefore, the alternative hypothesis plays a crucial role in hypothesis testing as it represents the researcher's desired outcome or the hypothesis they hope to demonstrate.

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Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

Answer:

23%

Step-by-step explanation:

% commission = \(\frac{151.34}{658}\) × 100% = 0.23 × 100% = 23%

Answer:

x/2=12

Step-by-step explanation:

I think your option B must be x/2 not x2.

According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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Answer:

3940 is the correct answer

Length of AA' + BB' + CC' + DD' +EE' = 39.5 inches

As the translation moves all points of a figure ABCDE at the same distance in the same direction.

Here we have length of the line segment YZ is 7.9 inches long, then the distance between original point A and translated point A' would be 7.9 inches.

That is also true to the other point B,C,D,E.

So, the length of AA' = BB' = CC' = DD' = EE' = 7.9 inches.

Therefore,  AA' + BB' + CC' + DD' +EE' = 5×7.9 inches = 39.5 inches

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A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

We have,

A histogram and a bar graph are both types of visual representations of data, but they have some key differences.

- A histogram is a graph that shows the distribution of a continuous variable.

The horizontal axis of a histogram represents the range of values for the variable, which is divided into intervals or bins.

The vertical axis represents the frequency or count of observations that fall into each bin.

The bars in a histogram touch each other to indicate that the variable is continuous and there are no gaps between the bins.

- A bar graph, on the other hand, is a graph that shows the frequency or count of different categories of a categorical variable.

The horizontal axis of a bar graph represents the categories of the variable, while the vertical axis represents the frequency or count of observations in each category.

The bars in a bar graph are separated by gaps to indicate that the variable is categorical and the categories are distinct.

Thus,

A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

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Answer:

The second product is negative.

Step-by-step explanation:

A negative times a positive is a negative.

Answer:

Step-by-step explanation:

4•(-9)•(-3)•(-1)

-36•(-3)•(-1)

108•(-1)

-108

Answer:

The commission earned on all sales over

$12 500 is $750

Step-by-step explanation:

$12 500 is over $8000 so the commission is 6%

Turn the percentage into a decimal

\(6 \div 100 = 0.06\)

Multiply that decimal with the earned sales price

\(0.06 \times 12500\)

= $750

Answer: 0.86 pounds of fruit

Step-by-step explanation:

8.3-7.44=0.86

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Q1: The regression intercept for stock A can be determined by considering the given regression results and assuming a constant risk-free rate (rf) of 8% with total returns instead of excess returns. The intercept represents the expected return of stock A when the market return (RM) is zero. To calculate the intercept, we need to subtract the product of the market return coefficient and the constant risk-free rate from the intercept of the excess return regression. In this case, the intercept for stock A would be -1.1% - (0.95 * 8%) = -1.87%.

Q2: To calculate the standard deviation of the portfolio, we use the given investment proportions and the standard deviations of stocks A and B. The standard deviation of a portfolio can be calculated by considering the investment proportions and the individual stock standard deviations. Using the given information, we can calculate the standard deviation of the portfolio to be 33.82 (rounded to two decimal places). The beta of the portfolio can be calculated by weighting the betas of stocks A and B according to their investment proportions. Based on the given information, the beta of the portfolio is calculated to be 1.09 (rounded to two decimal places).

Q3: The firm-specific variance of the portfolio represents the part of the portfolio's total variance that is not explained by the market index. To calculate the firm-specific variance, we need the portfolio's total variance and the square of the portfolio beta multiplied by the market variance. However, the necessary values are not provided in the given information, so the firm-specific variance cannot be determined without additional information.

Q4: The covariance between the portfolio and the market index represents the measure of their co-movement. It can be calculated by multiplying the portfolio beta, the standard deviation of the portfolio, and the standard deviation of the market index. However, the necessary values for the calculation are not provided in the given information, so the covariance between the portfolio and the market index cannot be determined without additional information.

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Answer:

x = 0.1854 and x = -16.1854

Step-by-step explanation:

refer to photo

Answer: 0.557743ft.

Step-by-step explanation:

As 1 cm equals to 0.393701 inches, then 17cm (17×0.393701) = 6.69291 inches, in unit of measurement.

A quantity's relationship to other quantities of the same kind is determined by the magnitude of that quantity, which has been predetermined, recognised by law, and frequently used. Any additional quantity of that type can be expressed as a multiple of the unit of measurement.

Length is an illustration of a physical quantity. The word "metre," which starts with the letter "M," is used to describe the predetermined length. When the term "10 metres" is used, the length is 10 times the precise, predetermined length known as "metre" (or 10 m).

From ancient times to the present, human endeavour has depended on the definition, acceptance, and practical application of units of measurement.

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Answer:

Option A is correct.

Step-by-step explanation:

Between B and C, the value of height (y) remains constant, as shown as a horizontal line on the graph.

The correct option regarding the skewness of the distribution is given by:

This is a skewed-left distribution, because the mean is less than the median.

If the mean is greater than the median, the distribution is right-skewed, also called positively skewed. Otherwise, if the median is greater than the mean, the distribution is left-skewed, also called negatively skewed.

In this problem, we have that:

The median is greater than the mean, hence the correct option is given by:

This is a skewed-left distribution, because the mean is less than the median.

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Answer:

Negative one

Step-by-step explanation:

Standard form is when you write out the number.

ex. 45 is forty-five

     102 is one hundred two

Hope this helps!