A pharmaceutical person earns a 12% of commission of the total sales of the stains that he sell to the hospital. If he earns 800,000.00 in commission

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

            week and then increases the number of miles he runs by 10% each

            week.

To find - If he keeps up this plan for 11 weeks, how many total miles would  

              Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857  + 10% of 24.801857  = 24.801857  + 2.4801857  = 27.2820427

9th week = 27.2820427  + 10% of 27.2820427  = 27.2820427+ 2.72820427  = 30.01024697

10th week = 30.01024697  + 10% of 30.01024697  = 30.01024697 + 3.001024697  = 33.01127167

11th week = 33.01127167  + 10% of 33.01127167  = 33.01127167 + 3.301127167  = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.  

Answer:

The balance of the savings account in 15 years will be $1,750.24.

Answer:

b

Step-by-step explanation:

Explanation:

As the person spends more time raking, the number of leaves will go down. Therefore, we have a negative correlation. Such correlations occur when one variable goes up while the other goes down (and vice versa).

The reason why it's considered negative correlation is because the regression line has a negative slope.

This is why choice C is the answer. This assumes that no extra leaves fall on the ground, and we assume that we don't have nearby leaves blow into the yard.

In contrast, something like choice A has both variables go up together. As the temperature rises, so does the ice cream sales. The same goes for choice B. We consider these cases to have positive correlation. Choice D doesn't appear to have any correlation at all. The person's height doesn't have any connection to the number of pets they may have.

Answer:

The answer is C! (PLATO)

Using geometry on the adjoining figure, we can show that:

a = 90 - z/2​

In geometry, an angle is the figure formed by two rays (i.e. the sides of the angle) sharing a common endpoint (i.e. vertex).

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

Using the figure, we can say:

OA = OB

Thus, x = y

Since PQ || AB (PQ is parallel to AB)

Thus, y = b (alternate angles are equal)

Also,

x + y + z = 180° (angles in a triangle)

Since x = y. We have:

y + y + z = 180

2y + z = 180

2y = 180 - z

y = 90 - z/2

a = 180 - z - b   (angles on a straight line)

a = 180 - z - y   (y = b)

a = 180 - z - (90 - z/2)

a = 180 - z - 90 + z/2

a = 90 - z/2

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Answer:

Both of the questions are B.

Problem 1

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

Explanation:

The domain is the set x values of a relation

For the relation given, the domain is {-4, -1, 4}. We list all the unique x coordinates. Toss out any duplicates.

The value x = 3 is not in that list.

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

Problem 2

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

Explanation:

The range is the set of y values of a relation. We only list each unique item once and toss out any duplicate entries.

After simplification, the value of the given expression (12x)⁰(6x⁻⁴) is 6/x⁴.

So, (12x)⁰(6x⁻⁴):

Therefore, after simplification, the value of the given expression is 6/x⁴.

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The sample covariance between variable a and variable b is -0.2.

To calculate the sample covariance between two variables,

We want to do following steps:

1) Calculate the mean (average) of each variable.

2) Subtract the mean from each value in their respective variables.

3) Multiply the resulting differences for each pair of values.

4) Sum up all the products obtained in step 3.

5) Divide the sum by the number of data points minus 1 (sample size minus 1).

Let's calculate the sample covariance for the given data sets (variable a and variable b),

Variable a: 5, 3, 5, 5, 4, 8

Variable b: 3, 1, 1, 4, 2, 1

Step 1: Calculate the means of each variable.

Mean of variable a:

\((5 + 3 + 5 + 5 + 4 + 8) / 6 = 30 / 6 = 5\)

Mean of variable b:

\((3 + 1 + 1 + 4 + 2 + 1) / 6 = 12 / 6 = 2\)

Step 2: Subtract the mean from each value in their respective variables.

For variable a:

\((5 - 5), (3 - 5), (5 - 5), (5 - 5), (4 - 5), (8 - 5),0, -2, 0, 0, -1, 3\)

For variable b:

\((3 - 2), (1 - 2), (1 - 2), (4 - 2), (2 - 2), (1 - 2),1, -1, -1, 2, 0, -1\)

Step 3: Multiply the resulting differences for each pair of values.

\(0 * 1, -2 * -1, 0 * -1, 0 * 2, -1 * 0, 3 *-10, 2, 0, 0, 0, -3\)

Step 4: Sum up all the products obtained in step 3.

\(0 + 2 + 0 + 0 + 0 + (-3) = -1\)

Step 5: Divide the sum by the number of data points minus 1.

\(-1 / (6 - 1) = -1 / 5 = -0.2\)

Therefore, the sample covariance between variable a and variable b is -0.2.

The correct option is d) -0.20.

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Answer:

a

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

The equation is 4 + (-2) + 8.

You add -2 to 4 which is 2.

Then you add 8 to 2.

This gives you 10.

Yes that is indeed correct

Answer:

50 boys

Step-by-step explanation:

2/4 = 1/2

25*2=50

0.40824 kg.

To calculate the standard deviation of the process if the manufacturer wants to implement six sigma quality and meet the design specification, you must use the population mean (8.00 kg) and the acceptable weight range of the product (7.40 kg - 8.60 kg).

Using the formula for population standard deviation, you can calculate the standard deviation as follows:
σ = √((8.60 - 8.00)2 + (7.40 - 8.00)2) / 2
= 0.40824
Therefore, the standard deviation for the process to meet the design specification with six sigma quality is 0.40824 kg.

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The logical expression that is equivalent to ¬∀x∃y(P(x)∧Q(x,y)) is ∀x∃y(¬P(x)∨¬Q(x,y)) i.e., the correct option is option D.

To determine the equivalent logical expression, we need to apply De Morgan's laws and quantifier negation rules.

Starting with the given expression ¬∀x∃y(P(x)∧Q(x,y)), let's break it down step by step:

Apply the negation of the universal quantifier (∀x) to get ∃x¬∃y(P(x)∧Q(x,y)).

This step changes the universal quantifier (∀x) to an existential quantifier (∃x) and negates the following expression.

Apply the negation of the existential quantifier (∃y) to get ∃x∀y¬(P(x)∧Q(x,y)).

This step changes the existential quantifier (∃y) to a universal quantifier (∀y) and negates the following expression.

Apply De Morgan's law to the negation of the conjunction (P(x)∧Q(x,y)) to get ∃x∀y(¬P(x)∨¬Q(x,y)).

This step distributes the negation inside the parentheses and changes the conjunction (∧) to a disjunction (∨).

Therefore, the equivalent logical expression is option D. ∀x∃y(¬P(x)∨¬Q(x,y)).

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The numbers in least to greatest order are: 0.10, 0.111, 0.125, 0.13.

To solve 1/8, 13%, 0.10 and 1/9 in least to greatest step-by-step, we first need to convert them into the same form of numbers. Here's how:1. Convert 1/8 into a decimal number:1/8 = 0.1252. Convert 13% into a decimal number:13% = 0.13 (by dividing 13 by 100)3. Convert 1/9 into a decimal number:1/9 ≈ 0.111 (rounded to the nearest thousandth)So, the given numbers in decimal form are:0.125, 0.13, 0.10, 0.111Now, we can put them in order from least to greatest:0.10, 0.111, 0.125, 0.13Therefore, the numbers in least to greatest order are: 0.10, 0.111, 0.125, 0.13.

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Answer:

add 54 to the numerator and 61 to the denominator because after you add it the fraction, it should be 60/90: simplified to 2/3 if you divide the numerator and denominator by 30.

The number that must be added to the numerator and denominator is 40.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction = 6/29

The new fraction = 2/3

Now,

(6 + x)/(29 + x) = 2/3

3(6 + x) = 2(29 + x)

18 + 3x = 58 + 2x

3x - 2x = 58 - 18

x = 40

Thus,

The number x is 40.

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The Equations of the tangent lines is y = 3 x and y= 2/3 x - 5.

The standard equation for an ellipse, x² / a² + y² / b² = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes.

Given:

x²+4y²=36 and pass through the point (12, 3).

So,  x²+4y²=36

x²/36 + y² / 4=1

and, a²=36, b²=9,

If the tangent line passes through point (12, 3 ) then the line equation is

3 = 12 m + n  

n= 3- 12m

So, tangent lines to the ellipse

a²m² + b² = n²

36 m² + 9 = ( 3 - 12 m )²

36 m² + 9 = 9 - 72 m + 144 m²

-108 m² + 72 m = 0

m ( -180 m + 72 ) = 0,          

m= 0 and m= 2/3

and, n= 3  or n = 3 - 12 x 2/3 = 3 - 8 = -5

Hence, the Equations of the tangent lines is y = 3 x and y= 2/3 x - 5.

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Complete question is below

find equations of both the tangent lines to the ellipse x²+4y²=36 and pass through the point (12, 3).

The expected value of the sum of the numbers that come up on four spinners is equal to the average of the possible outcomes of each spinner, which is (m + n + p + q)/4.

To find the expected value of the sum of the numbers that come up on four spinners, we need to first find the possible outcomes and their probabilities.

Since each spinner has equally likely outcomes, we can represent each spinner with a uniform probability distribution, where the probability of each outcome is 1 divided by the number of possible outcomes. Assuming that spinner 1 has m possible outcomes, spinner 2 has n possible outcomes, spinner 3 has p possible outcomes, and spinner 4 has q possible outcomes, the total number of possible outcomes for all four spinners is m x n x p x q.

Now, we need to find the sum of all possible outcomes and their probabilities. The expected value of the sum of the numbers that come up on four spinners is the sum of the products of each outcome and its probability. Mathematically, we can express this as:

Expected value = (1/m) x (1/n) x (1/p) x (1/q) x Σ(i=1 to m) Σ(j=1 to n) Σ(k=1 to p) Σ(l=1 to q) (i + j + k + l)

where Σ denotes the summation symbol, and i, j, k, and l represent the possible outcomes of each spinner.

Simplifying this expression, we get:

Expected value = (m + n + p + q)/4

Therefore, the expected value of the sum of the numbers that come up on four spinners is equal to the average of the possible outcomes of each spinner, which is (m + n + p + q)/4.

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Answer:

w = 13/2 or 6.5

Step-by-step explanation:

2w - 5 = 8

Add 5 to each side

2w - 5+5 = 8+5

2w = 13

Divide by 2

2w/2 = 13/2

w = 13/2 or 6.5

Answer:

13/2

Step-by-step explanation:

the steps are in the screenshot attached.

Answer:

primary school is a primary school

Answer:the meaning of primary school is elementary school basically grades Kinder-5th grade

Step-by-step explanation:

What is the domain of the function on the graph?

All real numbers greater than or equal to –3​

The standard deviation of the shoe size data for the math class is 1.5. Standard deviation is a measure of how spread out the data is, and it is calculated by taking the square root of the variance.

Calculate the difference between each shoe size and the mean (7.5)

if the shoe sizes in the class are 6, 7, 8, 9, 10

The differences from the mean are (-1.5), (-0.5), 0.5, 1.5, 2.5

Square each difference

(-1.5)² = 2.25

(-0.5)² = 0.25

0.5² = 0.25

1.5² = 2.25

2.5² = 6.25

Add up all the squared differences

2.25 + 0.25 + 0.25 + 2.25 + 6.25 = 11.25

Divide the sum of squared differences by the number of shoe sizes (n):

11.25 / 5 = 2.25

Take the square root of the result to get the standard deviation

√(2.25) = 1.5

Therefore, the standard deviation of the shoe size data for the math class is 1.5.

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Answer:

The measure of the interior angle C is \(108^{o}\).

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = \(720^{o}\)

Sum of angles in a hexagon = \(720^{o}\)

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = \(720^{o}\)

15x + 135 = \(720^{o}\)

15x = \(720^{o}\) - 135

15x = 585

x = \(\frac{585}{15}\)

  = \(39^{o}\)

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = \(108^{o}\)

The measure of the interior angle C is \(108^{o}\).

The factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

For the polynomial x³ - 7x² - 16x + 112, the following statements are true:

1. The factors of the polynomial are (x - 4)(x - 4)(x + 7).

2. The polynomial is completely factored.

To factor the polynomial completely, we can use different factoring techniques such as grouping, factoring by grouping, or synthetic division.

In this case, we observe that the number 4 is a root of the polynomial since when we substitute x = 4 into the polynomial, we get zero.

Using synthetic division or long division, we can divide the polynomial by (x - 4) twice to obtain the factored form (x - 4)(x - 4)(x + 7).

Hence, the factors of the polynomial are (x - 4)(x - 4)(x + 7), and the polynomial is completely factored.

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By subtraction method the time taken by her is 4:30 hours.

Total spent by her is $346.4

She has left over $153.6

Subtraction is the system of taken out  a number from another number. It is a primary arithmetic operation which is denoted by a  symbol "-" and it is the method of calculating the difference between two numbers.

such as 9-6=3 18-4=14 etc.

Ms. Jones drove to her hometown for the weekend in Detroit, Michigan. She left at 8:00am and arrived at 12:30pm.

To find the time taken by her we use here subtraction  method for time.

Then the time taken by her= ( 12:30 - 8:00)= 4: 30hrs

Also, she left with $500. On her trip, she spent $135.55 on gas, she stopped for food and spent $24, she went to the movies and dinner while she was home and spent $75.85, she went to the zoo and spent $37, and she spent $74 in Uber rides.

She had $500

Total spent = ( $135.55+$24+$75.85+$37+$74)

                   = $346.4

Again to find that how much money lest to her we use subtraction method.

she has left over $(500- 346.4)

                           = 153.6

Hence, the time taken by her is 4:30 hours.

Total spent by her is $346.4

She has left over $153.6

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Lin collected 1.4 times that of Diego's recycling collection.

Let x be the amount Diego collected in kg of recycling.

Then, Lin collected 2/5 more than that is

x + 2/5x = 7/5x kg of recycling

.Let x be the amount of recycling Diego collected in kg.

Then, Lin collected 2/5 more than that, so Lin's collection is

x + 2/5x,

which is equivalent to 7/5x kg of recycling.

This means that Lin's recycling collection is 1.4 times that of Diego's.'

For example, if Diego collected 10 kg of recycling, then Lin collected

2/5 * 10 = 4 kg

more than that, which is a total of 14 kg.

Therefore, Lin collected 1.4 times that of Diego's recycling collection.
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The function we have is:

The steps to find the inverse function are:

Step 1. Solve for x.

In this case, we solve for x by dividing both sides of the equation by 4:

Step 2. Change f(x) for x, and x for the inverse function f^-1(x):

If we call this inverse function h(x) we get the result:

Answer: What number, when added to negative four is equal to negative five.

Step-by-step explanation:

Rearange the numbers to get -4+g=-5.

This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.

If we were to solve for g we would get g= -1.

Answer:

the third option, "what number, when added to negative four, is equal to negative five?"

Explanation:

"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.

i hope this helps! :D comment if you need any clarification.

Answer:

12/18

Hope this helps!