Conrad eams a 7. 5% commission on his sales of office supplies. Last month, he earned $836. 50 in commissions. What were his total sales for the month (to the nearest whole cent)​

Answer:

this is Intercept Form

Answer: the answer is b

Step-by-step explanation: since i helped can i have brainlist please it would be greatly apperacited.  :D

Answer:

Step-by-step explanation:

Percent increase is the percent of the increased value over the initial value.

In our case the increase is represented by the difference of values and the initial value is Value 1.

So the matching choice is D.

=====================================

Answer choices in the comment:

Answer:

Y=36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

y/3 - 2 = 10

y/3=10+2

y/3=12

y=12×3

y=36

To determine whether R is a well-defined function, we need to check whether for each value of x in the domain, there exists a unique value of y in the range such that (x, y) belongs to R.

First, let's look at the domain of R, which is R (the set of all real numbers). For any given value of x in R, we can find the corresponding value of y by solving the equation x2 + y2 = 1. This is a well-defined equation and has a unique solution for y, given any value of x. Therefore, for each value of x in the domain, there exists a unique value of y in the range such that (x, y) belongs to R.

Next, we need to check whether R satisfies the condition that if (x1, y1) and (x2, y2) both belong to R and x1 = x2, then y1 = y2. In other words, we need to make sure that there are no two different values of y corresponding to the same value of x.

Suppose (x1, y1) and (x2, y2) both belong to R and x1 = x2. This means that x12 + y12 = 1 and x22 + y22 = 1. Subtracting the second equation from the first, we get:
x12 - x22 + y12 - y22 = 0

Since x1 = x2, we have x12 - x22 = 0, so: y12 - y22 = 0
This implies that y1 = y2, which means that there cannot be two different values of y corresponding to the same value of x.

Therefore, R is a well-defined function, since it satisfies both conditions for a function to be well-defined.

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Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

The given series is 1 3 9 27 81

here, all the numbers are the multiplication of three.

it is the series of function f(x) = 3^x

substitute x= 1, 2 , 3 , 4 , 5......

Answer:x=50

Step-by-step explanation:

The length and the width of the rectangle are 86m and 86m respectively

The maximum area of a rectangle with a given perimeter, we need to use the fact that the perimeter of a rectangle is the sum of all four sides, or twice the length plus twice the width.

Let L be the length and W be the width of the rectangle, then we have:

Perimeter = 2L + 2W = 344 meters

We want to find the length and width that maximize the area of the rectangle, given this perimeter.

The area of a rectangle is given by the formula:

Area = Length x Width = L x W

To maximize the area, we can use the fact that the area is a quadratic function of one of the variables (either L or W) and that it has a maximum at the vertex of the parabola.

To find the vertex of the parabola, we can use the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic function f(x) = ax^2 + bx + c.

In this case, the area function is:

f(L) = L(172 - L)

where 172 is half the perimeter (since 2L + 2W = 344, we have L + W = 172, so W = 172 - L).

To find the vertex of this parabola, we need to find the value of L that maximizes the area. We can do this by taking the derivative of f(L) with respect to L, setting it equal to zero, and solving for L:

f'(L) = 172 - 2L = 0

L = 86 meters

This gives us the length of the rectangle that maximizes the area. To find the width, we can substitute L = 86 into the equation for the perimeter:

2L + 2W = 344

2(86) + 2W = 344

W = 86 meters

Therefore, the length and width of the rectangle that has the given perimeter and a maximum area are 86 meters and 86 meters, respectively.

The Perimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. you will come across many geometric shapes and sizes, which have an area, perimeter and even volume. You will also learn the formulas for all those parameters. Some of the examples of different shapes are circle, square, polygon, quadrilateral, etc. In this article, you will study the key feature of the rectangle

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The two numbers that multiply to 81 and add to 18 are 9 and 9. This is determined either by factoring the number 81 or by solving the algebraic equations derived from the given conditions.

To find two numbers that multiply to 81 and add to 18, we can use factoring or algebraic methods. Let's explore both approaches:

Factoring:

Start by factoring 81 into its prime factors: 3 * 3 * 3 * 3.

Since the two numbers must multiply to 81, we can consider pairs of factors and check if their sum is 18:

Pair 1: 1 * 81 = 81 (sum = 1 + 81 = 82)

Pair 2: 3 * 27 = 81 (sum = 3 + 27 = 30)

Pair 3: 9 * 9 = 81 (sum = 9 + 9 = 18)

Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.

Algebraic method:

Let's assume the two numbers are x and y.

According to the given conditions, we can write the following equations:

xy = 81 ...(1)

x + y = 18 ...(2)

To solve this system of equations, we can rearrange equation (2) to express one variable in terms of the other:

y = 18 - x ...(3)

Substitute equation (3) into equation (1):

x(18 - x) = 81

Simplifying the equation:

18x - x^2 = 81

Rearrange the equation and set it equal to zero:

x^2 - 18x + 81 = 0

Now, we can factor this quadratic equation:

(x - 9)(x - 9) = 0

The equation yields a repeated factor (x - 9) since both values are the same.

Thus, the solution is x = 9.

Substituting x = 9 into equation (3):

y = 18 - 9

y = 9

Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.

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Answer:

63 feet

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

42.75+4=6

Answer:

387 ft³

Step-by-step explanation:

Given

Base area of the truck = 22 1/2 square feet

Height of the truck = 17 1/5 feet

Volume of the space = Base Area * Height

Volume of the space = 22 1/2 * 17 1/5

Volume of the space = 45/2 * 86/5

Volume of the space = 3870/10

Volume of the space = 387 ft³

hence he volume of the space is 387 ft³

The absolute minimum = -2√2.

The absolute maximum=  4.5

Consider f(t)=t√9-t on the interval (1,3].

Find the critical points: Find f'(t)=0.

f"(t) = 0

√9-t² d/dt t + t d/dt √9-t²=0

√9-t²  + t/2√9-t² (-2t)=0

9-t²-t²/√9-t²=0

9-2t²=0

9=2t²,   t²=9/2, t=±3/√2

since -3/√2∉  (1,3].

Therefore, the critical point in the interval  (1,3] is t= 3/√2.

Find the value of the function at t=1, 3/√2,3 to find the absolute maximum and minimum.

f(-1)=-1√9-1²

    = -√8 , =-2√2

f(3/√2)= 3/√2 √9-(3/√2)²

        = 3/√2 √9-9/2

      =3/√2 √9/2

     =9/2 = 4.5

f(3)= 3√9-3²

    = 3(0)

    =0

The absolute maximum is 4.5 and the absolute minimum is -2√2.

The absolute maximum point is the point at which the function reaches the maximum possible value. Similarly, the absolute minimum point is the point at which the function takes the smallest possible value.

A relative maximum or minimum occurs at an inflection point on the curve. The absolute minimum and maximum values ​​are the corresponding values ​​over the full range of the function. That is, the absolute minimum and maximum values ​​are bounded by the function's domain.

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Due to availability of evidence we support the claim that the bags are underfilled, therefore we reject the null hypothesis, under the condition bag filling machine works correctly at the 443.0 gram setting.

The null hypothesis is that the bags are considered not underfilled and the other alternative hypothesis is that the bags are underfilled.

The level of significance is 0.05 which means that we have  to reject the null hypothesis if the p-value  < 0.05.
Given,
The sample size is 48 and the sample mean is 439 grams. Standard deviation = 25 grams.
The test statistic is evaluated
Z = (x'- μ) / (σ / √n)

Here,
x' = sample mean,
μ = hypothesized population mean,
σ = population standard deviation,
n = sample size.

Staging the values we get:

Z = (439 - 443) / (25 / √48)
= -2.45

The p-value can be calculated applying a Z-table.
Z = -2.45 is approximately 0.0071.

Since the p-value (0.0071) is less than the level of significance (0.05), we reject the null hypothesis.

Hence, there is enough proof to support the fact that the bags are underfilled.

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In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer:

hold up

Step-by-step explanation:

Using multinomial distribution, the chances of obtaining 10 Democrats, 10 Republicans, and 5 Independents in the sample of 25 voters is approximately 0.1112 or 11.12%. \(\[P(D \leq 15, R \leq 12, I \leq 20) = \sum_{D=0}^{15} \sum_{R=0}^{12} \sum_{I=0}^{20} \binom{25}{D, R, I} \cdot (0.55)^D \cdot (0.40)^R \cdot (0.05)^I\]\)

(a) To find the probability of getting exactly 10 Democrats, 10 Republicans, and 5 Independents in a sample of 25 voters, we can use the multinomial probability formula:

\(\[P(D=10, R=10, I=5) = \binom{25}{10, 10, 5} \cdot (0.55)^{10} \cdot (0.40)^{10} \cdot (0.05)^{5}\]\)

Using the binomial coefficient \(\(\binom{25}{10, 10, 5}\)\) to calculate the number of ways to arrange the voters, we have:

\(\[\binom{25}{10, 10, 5} = \frac{25!}{10! \cdot 10! \cdot 5!} = 3,013,551,600\]\)

Substituting the values into the formula:

\(\[P(D=10, R=10, I=5) = 3,013,551,600 \cdot (0.55)^{10} \cdot (0.40)^{10} \cdot (0.05)^{5} \approx 0.1112\]\)

Therefore, the chances of obtaining 10 Democrats, 10 Republicans, and 5 Independents in the sample of 25 voters is approximately 0.1112 or 11.12%.

(b) Let's calculate the cumulative probability \(\(P(D \leq 15, R \leq 12, I \leq 20)\)\) using a general approach.

To calculate the cumulative probability, we need to sum the probabilities for all possible combinations that meet the conditions \(\(D \leq 15\), \(R \leq 12\), and \(I \leq 20\)\). We'll iterate through the possible values for \(\(D\), \(R\), and \(I\)\) and calculate the corresponding probabilities using the multinomial probability formula.

\(\[P(D \leq 15, R \leq 12, I \leq 20) = \sum_{D=0}^{15} \sum_{R=0}^{12} \sum_{I=0}^{20} P(D, R, I)\]\)

Where \(\(P(D, R, I)\)\) represents the probability of obtaining \(\(D\)\) Democrats, \(\(R\)\) Republicans, and \(\(I\)\) Independents in the sample.

Performing the calculations:

\(\[P(D \leq 15, R \leq 12, I \leq 20) = \sum_{D=0}^{15} \sum_{R=0}^{12} \sum_{I=0}^{20} \binom{25}{D, R, I} \cdot (0.55)^D \cdot (0.40)^R \cdot (0.05)^I\]\)

Using statistical software or programming tools to perform this computation efficiently would be recommended due to the number of calculations involved. If you have access to such tools, you can input this formula and obtain the result.

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Answer:

-10k+12j+15

Step-by-step explanation:

-7k-3+8j+4j-3k+18

-7k-3k+8j+4j-3+18

-10k+12j+15

If you're satisfied with the answer, then please mark me as Brainliest.

Answer:$54

Step-by-step explanation:

60(0.9) = $54

answer:

$54

step-by-step explanation:

60 X 90% - - > 60 X 0.90

60 X 0.90 = 54

= $54

Answer:

Yes what is the question I would surely love to help u

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

the picture is not clear

The answer is sin(y) = 4/sqrt(16 - 16x^2).

We can use the following identity:

sin(y) = sqrt\((1 - cos^2(y))\)

Since x = cos(y), we can substitute to get:

sin(y) = sqrt\((1 - x^2)\)

We are given that 0 < x < 1/4. This means that \(x^2\) < \(\frac{1}{16}\)Therefore, we can simplify the expression for sin(y) as follows:

sin(y) = sqrt(\((1 - x^2)\) = sqrt(\(1 - \frac{1}{16}\) = sqrt(\(\frac{15}{16}\)) = 4/sqrt(\(16 - 16x^2\))

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Each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a Total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

The number of boxes and the distribution of donuts in each box, we need to find the greatest common divisor (GCD) of the total number of chocolate, strawberry, and caramel donuts available. The GCD will represent the maximum number of donuts that can be included in each box.

First, let's find the GCD of 36, 27, and 18. By calculating the GCD, we can determine the maximum number of donuts that can be included in each box.

GCD(36, 27, 18) = 9

Therefore, the maximum number of donuts that can be included in each box is 9.

Next, we need to determine the number of boxes. To do this, we divide the total number of each donut type by the maximum number of donuts per box.

Number of boxes for chocolate donuts = 36 / 9 = 4 boxes

Number of boxes for strawberry donuts = 27 / 9 = 3 boxes

Number of boxes for caramel donuts = 18 / 9 = 2 boxes

Since each box contains the same total number of donuts, we can conclude that there will be 4 boxes with chocolate donuts, 3 boxes with strawberry donuts, and 2 boxes with caramel donuts.

To find the distribution of donuts in each box, we divide the maximum number of donuts per box by the GCD:

Distribution in each box: 9 = 1 × 9

Therefore, each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut, there will be a total of 4 boxes, and each box will contain 1 chocolate donut, 1 strawberry donut, and 1 caramel donut.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

The calculated values of x in the circle is 33 degrees

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

The circle

The values of x in the circle can be calculated using the following intersecting chord theorem

So, we have

23 = 1/2(x + 13)

Multiply by 2

x + 13 = 46

So, we have

x = 33

Hence, the values of x in the circle is 33 degrees

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The correct student's t- distribution requires knowing the degrees of freedom. The degrees of freedom are there for a sample of size n is B) n-1.

Distribution is described as the technique of having items to consumers. An instance of distribution is rice being shipped from Asia to the USA. The frequency of occurrence or quantity of lifestyles.

Distribution manner to spread the product for the duration of the market such that a big quantity of humans should purchase it. Distribution involves doing the following matters. An amazing delivery machine to take the goods into one-of-a-kind geographical regions.

Distribution is one of the four elements of the advertising and marketing mix. Distribution is the method of creating a service or product available for the consumer or enterprise user who needs it. this may be executed without delay through the manufacturer or service company or the usage of indirect channels with vendors or intermediaries.

Disclaimer: The question is incomplete. Please read below to find the missing content.

Question: To select the correct Student's t-distribution requires knowing the degrees of freedom. How many degrees of freedom are there for a sample of size n?

A) n

B) n-1

C) n+1

D) [X - μ / (s / n)]

The degrees of freedom depends on the number of parameters you are estimating.

8=

i-1

In student t distribution we estimate the population mean through sample mean and population standard deviation through sample standard deviation

So here both parameters depend on the sample mean i.e. we just calculate from a sample of size n so

Degrees of freedom for students t distribution is B) n-1

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