Using proportions, her commission would be of $3,700.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Her commissions are divided as follows:
15% of the first $5,000.25% of the next $1,000.30% of the final $9,000(15000 - 6000).Hence the total commission is:
0.15 x 5000 + 0.25 x 1000 + 0.3 x 9000 = $3,700.
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A set of shirt prices are normally distributed with a mean of 454545 dollars and a standard deviation of 555 dollars. what proportion of shirt prices are between 373737 dollars and 59.3559.3559, point, 35 dollars? you may round your answer to four decimal places.
The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.
What is proportion?
In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.
Calculation of the proportion based on the problem
The mean and standard deviation are given to be 45 and 5 respectively
Calculate standard normal variate using the formula, z = (x - 45) / 5
Taking x = 37, we get,
z1 = (37 - 45) / 5
= -1.6
Using the z table, we get the value, z1 = 0.0548
Now, taking x = 59.35, we get,
z2 = (59.35 - 45) / 5
= 2.87
Using the z table, we get the value, z2 = 0.9979
The proportion between two prices is given by z = z2 - z1
z = 0.9979 - 0.0548
= 0.9431
Hence, the proportion of shirts between the two prices is 0.9431.
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exercise 5.3.1. recall from exercise 4.4.9 that a function f : a → r is lipschitz on a if there exists an m > 0 such that ∣∣∣∣ f(x) − f(y) x − y ∣∣∣∣ ≤ m for all x ?
If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].
What is a Lipschitz function?
If a neighborhood U of x exists for any x in X such that f restricted to U is Lipschitz continuous, then the function is said to be locally Lipschitz continuous. Alternatively, f is locally Lipschitz if and only if it is Lipschitz continuous on each compact subset of X if X is a locally compact metric space.
Now,
Assume that f can be differentiated and that f' is continuous on [a,b]. Therefore, f' is bounded since [a,b] is compact. In other words, for all x [a,b] there exists M > 0 such that: |f'(x)| ≤ M.The Mean Value Theorem therefore ensures that there exists c between x and y such that: [tex]|\frac{f(x)-f(y)}{x-y}|=|f'(c)|\leq M[/tex], for each x,y ∈[a,b].Given that x and y were chosen at random, we can infer that f is Lipschitz on [a,b] since the inequality: [tex]|\frac{f(x)-f(y)}{x-y}|\leq M[/tex], holds for all x,y ∈ [a,b].Hence, If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].
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erik went to the store and bought 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend
Answer: svsdvcvsdvsdvsdv
vdsvds
Step-by-step explanation:
ght 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend
Answer:
43.6
Step-by-step explanation:
I need help!!!!!!! It’s is about geometry
Suppose the cost in dollars of producing x model kits is
given by the polynomial 500,000 + 2x and the revenue generated from sales is
given by the polynomial 30x - 0.00005 x^2 . Find a polynomial expression for the
profit from making and selling x model kits. Then evaluate the expression for
x = 300,000.
Answer:
1100000
Step-by-step explanation: If x = 300,000, that means 2x is 2 x 300,000, and that makes the equation 500,000 + ( 2 x 300,00). Please don't judge me, I am only in 7th grade. Thank you.
The polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
Suppose the cost in dollars of producing x model kits is given by the polynomial 500,000 + 2x and the revenue generated from sales is given by the polynomial 30x - 0.00005 x².
The profit = revenue - cost
The profit = (30x - 0.00005 x²) - (500,000 + 2x)
The profit = 30x - 0.00005 x² - 500,000 - 2x
The profit = 28x - 500,000 - 0.00005 x²
Plug x = 300,000 in the profit expression.
The profit = 3400000
Thus, the polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.
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Simplify this. Enter your answer in simplest form.
In the equation y=mx+b , what letter represents the slope?
Answer:
m represents the slope.
Step-by-step explanation:
m represents the slope. To find the slope, you can use the slope formula.
m=slope
b=y-intercept.
Hope this helps!
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A binomial experiment has 4 trials in which p = 0.35. What is the probability of 1 success?
The formula for calculating the probability of one success under certain conditions is:
x=0.4.
What is probability?"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."
Generally, the equation for Probability is mathematically given as
Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]
According to the question,
Total number of trials n'=4
Number of successes r =1
p=0.35
q=1-0.35
q=0.65
Simply replace the value in order to calculate the appropriate probability.
[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]
[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]
[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]
=0.384475
=0.4
Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.
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A truck can be rented from Company A for $130 a day plus $0.30 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Considering the definition of an equation and the way to solve it, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Number of miles in this caseFirst, you define the variable "m" as the number of miles rented from a truck to a company in a day. You know that:
A truck can be rented from Company A for $130 a day plus $0.30 per mile. Company B charges $70 a day plus $0.60 per mile to rent the same truck.So the price of each company is:
Price of company A=130 + 0.30mPrice of company B=70 + 0.60mIf the rental costs for Company A and Company B are the same, the equation in this case is:
Price of company A= Price of company B
130 + 0.30m= 70 + 0.60m
Solving:
130 - 70= 0.60m - 0.30m
60= 0.30m
60÷0.30= m
200= m
In summary, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.
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Tony's Carnival charges $25 to enter the park and $4.50 per ride. Ride Palace charges $18 to enter the park and $5 per ride. How many rides do you need to ride for the cost of each park to be the same?
Answer:
14
Step-by-step explanation:
Let x = number of rides.
Tony's cost: 4.5x + 25
Ride's cost: 5x + 18
Set the prices equal and solve for x.
5x + 18 = 4.5x + 25
Subtract 4.5x from both sides.
0.5x + 18 = 25
Subtract 18 from both sides.
0.5x = 7
Multiply both sides by 2.
x = 14
Answer: 14
List 4.6,2.8 repeating,square root,square root of 17 and the square root of 7 form least to greatest
The numbers from least to greatest are -
square root of 7, 2.8, square root of 7 and 4.6.
What is defined as the ascending order and descending order?Descending pattern is defined as it is when numbers (and other objects) are arranged in descending order from the largest to the smallest numbers.
Ascending is defined like when numbers (or even other items) are positioned in ascending order from the smallest to the largest numbers.
We have the numbers provided as;
4.6, 2.8, square root of 17 and the square root of 7.
Then,
square root of 7
√7 = 2.645, and
square root of 17
√17 = 4.123
Thus, the given series becomes;
4.6, 2.8, 4.123, 2.645.
Now, arranging them according to ascending order (least to greatest).
2.645, 4.123, 2.8 and 4.6.
Therefore, the series becomes; square root of 7, 2.8, square root of 7 and 4.6.
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A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over two years
Answer:
The child grew 8 inches. Hope this helps.
When part of an original figure matches up with part of a copy. These could be segments points or angles.
When a portion of an original figure corresponds to a portion of a duplicate, we refer to them as corresponding parts. This could be in the form of points, segments, angles, or distances.
What exactly do we mean by "corresponding parts"?Parts that match between two congruent triangles are said to as matching. You can identify the corresponding angles and sides.
How many congruent components are there?Triangles are congruent when all 3 types of corresponding sides are congruent. Two triangles have three sides that are equivalent.
How do you determine which sections of a congruent triangle are corresponding?The equals sign with a squiggly line on top indicates that the items on each side of the equation were congruent. Then, identify the corresponding sides. Corresponding sides are sides that match between two triangles. Congruent triangles will have the same length.
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A cube is made for 1 million cubic centimeters e What is the length of the side of the cube in centimeters?
The length of the side of the cube is 100 centimeters
How to determine the length
The formula for volume of a cube is expressed as:
Volume, V = a³
Where a is the length of its side
Given that the volume is 1 million cubic centimeters = 1, 000, 000
Substitute the values
1, 000, 000 = a³
Find the cube root of both sides
a = ∛10^6
a = 100 centimeters
Thus, the length of the side of the cube is 100 centimeters
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Which graph displays the solution to 2 − x < −8?
Answer:
D
Step-by-step explanation:
x>10 is your answer. since theres no less than or greater or equal to c and B are automatically out. x>10 says x is greater then 10 so it is D
Its B, always remember to check if the dot is opened or closed on the line!!
Carlos has ½ of a tray of brownie left over from the night
before. He eats ⅓ of the leftover part the next night. How
much of the whole pan does Carlos eat? Show how you
solved the problem as an equation.
Answer:
1/6
Step-by-step explanation:
1/2 * 1/3 = 1/6
He ate 1/6 of the whole pan.
a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided t f
The claim that a researcher may infer a causal link between variables if one effects another is False.
What do you mean when you say that variables have casual relationships?If a change in one variable's level results in a change in the other variable, then there is a causal relationship between the two variables. Keep in mind that correlation does not always imply causation. Two variables may be linked together without one of them directly contributing to the other's observable behavior.
For instance,
the chart below illustrates the relationship between ice cream sales and temperature. Any business can utilize the concept of causality. As is clear from the graph, there is a correlation between warmer weather and increased sales.
A casual relationship between two variables only exists when one of the variables actually causes the other to exist, which does not appear to be the case here. Instead, since a change in one variable affects the other, this scenario can be thought of as a correlated relationship.
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I understand that the question you are looking for is:
a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided.(True/False).
3. Maria Whetstone, a heating technician, has a gross weekly income of $502.16. Her earnings to date for this year are $20,086.40. How much is deducted from her paycheck this week for Social Security? How much for Medicare?
Deducted from her paycheck this week for Social Security is $31.13.Medicare is equal to $7.28.
Maria Wehstone, Gross weekly income = 502.16 and annual earnigs till date = 20,086.40
Deduction for this week for social security = 6.20% of 502.16$ = $31.13
Deduction for this week for Medicare = 1.45% of 502.16$ = $7.28
Social security is the safety net that a society offers to people and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.
Based on their career earnings, Social Security replaces a portion of your pre-retirement income. Depending on how much you earn and when you decide to begin receiving benefits, Social Security replaces a different percentage of your pre-retirement income depending on your top 35 years of earnings.
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3. "the product of a number and 5.”
Answer:
x * 5
Step-by-step explanation:
prosucts refer to multiplication
A rectangular garage is 13 yards long and 7 yards wide. It costs $3.00 per square yard to put in a new concrete floor. How much would it cost to put a new concrete floor in the garage?
Answer:
it's B
Step-by-step explanation:
after a long section it is B
is -24 greater than -24.0
multiply (x – 3)(4x 2) using the foil method. select the answer choice showing the foil method products.
The correct answer is (4x^3 - 8x^2 )
Solve by using Foil's Method
Multiply (x - 3)(4x^2)
Begin, by multiplying together, the first terms of binomial
= x * 4x^2 = 4x^3
Now, multiply the last term of binomial.
= -3 * 4x^2 = -12x^2
Sum up the partial products starting from the first to last product from the first to last product and collect it:
=(4x^3 - 8x^2 )
Now, Let us know
What is Foil's Method ?
FOIL a mathematical series of steps used to multiply two binomials.
By definition we have the meaning of FOIL is given by:
F: First
O: Outer
I: Inner
L: Last
Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).
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Find the slope of the line
Answer:
-2/3
Step-by-step explanation:
(x1, y1) = (4, 1)
(x2, y2) = (1, 3)
m = (y2 - y1) / (x2 - x1) = (3 - 1) / (1 - 4) = 2 / (-3) = -2/3
Note that we used the point with the bigger x as the "first" point. It does not change the result.
Convert these units of length.
1. 108 in. =
ft.
2.
3.
12 ft. =
1 yd.:
yd.
in. isqe sd
After converting all the given units of length into meters we get,
[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\1 yd= 0.9144m[/tex]
As per the question statement, we are supposed to convert these given units of length into meters i.e., 108 inches, 108 feet, 12 feet, 1 yard.
We know
[tex]1 foot = 12 inches[/tex]
[tex]1 inch = 2.54 cm\\[/tex]
[tex]12 inches = 2.54*12=30.48 cm\\1 cm = 0.01 m \\30.48 cm = 0.3048 m[/tex]
Therefore, we can infer that 1 foot = 0.3048 m
So,
[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\[/tex]
Now it is a standard that 1 yard equal to 0.3048 meter
Meter: SI unit of length which equals to 100 cm and is the internationally accepted unit for length.Conversion of length: It is the process by the length of one unit is converted to the length of other units using mensuration rules for e.g., 1 meter = 100 centimeters
This question is a classic example to the conversion of length from one unit to another.
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bailey has 40 minutes to exercise.it takes bailey 3 minutes to jog around the track and 5 minutes to stretch. she jogs 6 laps around the track and stretches 2 times what is the experssion for this problem?
help me please 106.4 + 10³ =
Answer:
1106.4.
Step-by-step explanation:
10*3 = 1000
106.4 + 1000
= 1106.4.
Answer: 1106.4
Step-by-step explanation:
[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]
Graph the line.
y= 1/2x - 5
Answer:
Screenshot
Step-by-step explanation:
The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.
Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
Using translation concepts, the coordinates of the image of the triangle are given as follows:
A'(-1,-4), B'(-2,0), C'(-3, -11).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a 90° counterclockwise rotation about the origin is given as follows:
(x,y) -> (-y,x).
Hence the coordinates of the image of the triangle are given as follows:
A': (-4, 1) -> (-1, -4).B': (0, 2) -> (-2,0).C': (-11, 3) -> (-3, -11).More can be learned about translation concepts at https://brainly.com/question/4521517
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Mariko has an 80:1 scale drawing of the floor plan of her house. on the floor plan the dimensions of her rectangular living room are 1 and 7/8 inches by 2 and 1/2 inches.
What is the area of her real living room in square feet?
The price of a shirt is marked down from $12.59 to $10.00 what percent is decrease of the shirt
The percentage by which the price of the shirt is decreased is 20%.
What is the percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100. The abbreviation "pct.", "pct," and sometimes "pc" is also used. A percentage is a dimensionless number with no unit of measurement.So, the price of a shirt is marked down from $12.50 to $10.00.
Previous price = $12.50New price = $10.00Then,
Change in price = Previous price - New price= $12.50 - $10.00= $2.50Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100
Therefore, the percentage by which the price of the shirt is decreased is 20%.
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