Maria makes $6.00 an hour plus 5% commission for telephone sales. Yesterday, Maria worked 8 hours and had sales of $600.00. How much did Maria make yesterday? Explain your answer.

Dr. Ellison's equation that f(2) = 5/3 is wrong

From the question, we have the following equation that can be used in our computation:

y = -3x + 7

This equation can be expressed as a function

So, we have

f(x) = -3x + 7

In Dr. Ellison's equation, we have

f(2) = 5/3

This means that

x = 2

So, we have

f(2) = -3 * 2 + 7

Evaluate

f(2) = 1

The calculated value is different from Dr. Ellison's equation

Hence, the solution is wrong

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Area = w × h

w = width

h = height

Answer:

y = 4

Step-by-step explanation:

Substitute the input x = - 4 into the function and evaluate for y

y = \(\frac{1}{2}\) × - 4 + 6

  = - 2 + 6

  = 4

The statement "If AB + BC = AC and AC = EF + FG, then AB + BC = EF + FG" shows transitive property.

Correct option is C.

Transitive property of equality states that if two numbers are equal to each other and the second number is equal to the third number, then the first number is also equal to the third number. In other words, a = b, b = c, then a = c.

Given,

If AB + BC = AC and AC = EF + FG,

then AB + BC = EF + FG

let AB+BC = a

AC = b

and EF + FG = c

So, a = b and b = c

then a = c

which shows transitive property of equality.

Hence, given statement satisfies transitive property.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

the surface of "C" would be a triangle if sliced vertically

Step-by-step explanation:

If  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism, option C is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

If a vertical slice through a three-dimensional solid produces a two-dimensional shape which is a triangle, it means that the solid has a triangular cross-section.

In other words, the cross-section of the solid that is perpendicular to its base is in the shape of a triangle.

A triangular prism is a solid shape that has a triangular cross-section. If you were to take a vertical slice through the prism, the resulting two-dimensional shape would be a triangle.

Hence, if  vertical slice through a three-dimensional solid produces a two-dimensional shape is triangular prism

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Answer:

\(\frac{7}{26}\)

Step-by-step explanation:

let x be the denominator of the fraction then x - 19 is the numerator , so

\(\frac{x-19}{x}\) ← is the original fraction

subtrating 1 from the numerator and adding 1 to the denominator , then

\(\frac{x-20}{x+1}\) = \(\frac{2}{9}\) ( cross- multiply )

9(x - 20) = 2(x + 1) ← distribute parenthesis on both sides

9x - 180 = 2x + 2 (subtract 2x from both sides )

7x - 180 = 2 ( add 180 to both sides )

7x = 182 ( divide both sides by 7 )

x = 26

Then the original fraction is

\(\frac{26-19}{26}\) = \(\frac{7}{26}\)

The p-value for the test, given that the class size is 28 students, is approximately 6.53%.

To determine the p-value, we need to perform a hypothesis test to compare the class average (68%) with the population average (70%). Since the sample size is 28, we can use a t-distribution.

Using the t-distribution, we calculate the t-value by subtracting the population mean (70%) from the sample mean (68%), dividing it by the sample standard deviation (7%), and multiplying it by the square root of the sample size (sqrt(28)). This gives us a t-value of (68% - 70%) / (7% / sqrt(28)) ≈ -0.858.

To find the corresponding p-value, we compare the t-value to the t-distribution with degrees of freedom equal to the sample size minus 1 (28 - 1 = 27). Consulting a t-table or using statistical software, we find that the p-value associated with a t-value of -0.858 and 27 degrees of freedom is approximately 6.53%.

Therefore, the p-value for this test, with a class size of 28 students, is approximately 6.53%. This p-value represents the probability of observing a class average of 68% or lower, assuming the population mean is 70%.

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Answer:

\( \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}\)

hope this helps.

For every integer n > 7, we have shown that there exist positive integers a' and b' such that n = 2a' + 3b'.

An integer is a mathematical concept used to represent whole numbers, both positive and negative, without any fractional or decimal parts. Integers include zero (0) and the positive and negative counting numbers (1, 2, 3, ... and -1, -2, -3, ...). Integers can be expressed as numbers on the number line that extend infinitely in both the positive and negative directions.

To prove that for every integer n > 7, there exist positive integers a and b such that n = 2a + 3b, we can use the concept of the Chicken McNugget theorem, also known as the Frobenius coin problem.

The Chicken McNugget theorem states that for any two relatively prime positive integers a and b, the largest integer that cannot be expressed as a non-negative integer combination of a and b is ab - a - b.

In our case, a = 2 and b = 3 are relatively prime since their greatest common divisor (GCD) is 1.

Let's consider the number 6. We can express 6 as 2 * 1 + 3 * 2, so it is possible to represent 6 using positive integers a and b.

Now, let's consider any number n > 7. We know that n - 6 is a positive integer greater than or equal to 2. Therefore, n - 6 can be expressed as a non-negative integer combination of 2 and 3, using the Chicken McNugget theorem.

So, n - 6 = 2a + 3b, where a and b are positive integers. Adding 2 * 1 + 3 * 2 to both sides of the equation, we get:

n = 2a + 3b + 6

We can see that by choosing a = a + 1 and b = b + 2, we can rewrite the equation as:

n = 2(a + 1) + 3(b + 2) = 2a' + 3b',

where a' and b' are positive integers.

Therefore, for every integer n > 7, we have shown that there exist positive integers a' and b' such that n = 2a' + 3b'.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

slope - 3

y - intercept - 40

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(y = 3x + 40\\\rule{150}{0.5}\\y \text{ - Total service fee.}\\\\x \text{ - Number of miles the car is towed.}\\\rule{150}{0.5}\\\text{The given equation is in slope-intercept form.}\\y = mx + b\\\\\rightarrow m \text{ - slope}\\\rightarrow b \text{ - y-intercept}\\\rule{150}{0.5}\\\text{3 takes m's spot so it is the slope.}\)

\(\text{This means that the company will charge 3 dollars for every mile the car is towed.}\\\rule{150}{0.5}\\\text{40 takes b's place to it is the y-intercept. This means that 40 would be the base fee.}\)

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

The answer is b = ax- c/x

when i put the / it means fraction

Answer:

38.11 and 3.66

Step-by-step explanation:

The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.

The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.

The mean is the average of the data set and given by

Mean = sum of all the data sets/number of data set

Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9

Mean = 38.11

Now standard deviation is given by

\(s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}\)

Where N is the number of data while the x bar is the mean.

So by using the formula,

Standard deviation = 3.66.

Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".

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Answer:

0

Step-by-step explanation:

Given

\(Ring's\ Position = 10\ feet\)

Required

Determine its new position

Because the ring was initially below the surface of the pool;

Its initial position is

\(Position = -10\ feet\)

Taking it to the surface of the pool;

It means, the ring travels a distance of:

\(Distance = +10\ feet\)

It's final position is the summation of its initial position and distance travelled;

\(Final\ Position = Initial\ Position + Distance\ Traveled\)

\(Final\ Position = -10\ feet + 10\ feet\)

\(Final\ Position = 0\ feet\)

Hence, 0 represents its new position with respect to the surface of the water

Step-by-step explanation:

So, one factor is (x - 1). After division, or guest --> f(x)=(x+1)(x2+6x+8) Find 2 numbers knowing the sum (6) and the product (8). They are 2 and 4.

Answer:

5/8

Step-by-step explanation:

1 man, 4 women out of 8 people total

The probability that a randomly selected student from this group is a junior and spends 5 -9 hours a week using social media is given as follows:

0.4009 = 40.09%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The outcomes for this problem are given as follows:

Hence the probability is given as follows:

p = 184/459 = 0.4009 = 40.09%.

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Answer:

Month 5

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

1.2 meters long

Step-by-step explanation:

3(4/5)m=3.8m

5m-3.8m=1.2m

There would be 11 cylindrical buckets required to fill the empty aquarium with 65 gallons.

A cylinder is three dimension solid, which has two circular base and which are connected by a curved surface.  

Given that,

The diameter of cylindrical bucket d is 12 inches

so radius r=6 inches

And the height of bucket is 11.25 inches.

Volume of cylinder=π×r^2×h

Let n buckets are required to fill 65 gallons.

Since, 1 gallon = 231 inches,

65×231=n×22/7×6×6×11.25

15015×7=n×22×36×11.25

n=11.79

n=11 (approx.)

11 buckets will be required.

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The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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According to the solution we have come to find that, The math sentence that can be used to determine if this triangle is a right triangle is: 20² + 21² = 29²

A triangle is a closed two-dimensional geometric shape with three straight sides and three angles.

The math sentence that can be used to determine if this triangle is a right triangle is:

20² + 21² = 29²

This is the Pythagorean theorem, which states that for any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In this case, 20, 21, and 29 represent the lengths of the sides of the triangle, and if the equation holds true, then the triangle is a right triangle.

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Dr. Howard's sample does vary from the general population, as the average grade in his classes is higher than the overall average grade.

Based on the information provided, it appears that Dr. Howard's sample has a higher average grade than the general population. The average grade on a statistics final exam for the general population is 85, while in Dr. Howard's classes, the average grade is 93. This suggests that Dr. Howard's students performed better on the final exam than the average statistics student. However, without additional information about the sample size or characteristics of Dr. Howard's students, it is difficult to draw definitive conclusions about the variation between the sample and the general population.
Dr. Howard's sample varies from the general population. Here's a step-by-step explanation:

1. The average grade of the general population on the statistics final exam is 85.
2. In Dr. Howard's classes, the average grade is 93.
3. Compare the two averages: 93 (Dr. Howard's classes) vs. 85 (general population).
4. Since 93 is higher than 85, it indicates that Dr. Howard's sample (his classes) has a higher average grade than the general population.

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Answer:

\(r=\frac{a-p}{pt}\)

Step-by-step explanation:

Solve \(a=p+prt:\)

\(r=\frac{a-p}{pt}\)