Answer:
x = 9/5 − 4y/5
x = 7 + y/2
Step-by-step explanation:
Move all terms that dont contain x to the right side and solve.
A salesperson's commission rate is 6%. What is the commission from the sale of 44000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission? Explain without using any calculations.
Commission rate = 6%
Sales = $43,000
Commission = 6% of 43,000
= 0.06 × 43,000
= $2,580
Suppose sales would double. What would be true about the commission?
If sales doubles, that is,
Sales = $86,000
Then, commission also doubles
Commission = $5,160
Check:
Sales = $86,000
Commission rate = 6%
Commission = 6% of $86,000
= 0.06 × 86,000
= $5,160
The mathematical way to describe an interaction is: O A difference in differences A A caveat O A qualified main effect O A patterned pattern
The mathematical way to describe an interaction is: A difference in differences.
What is an interaction?In statistics, an interaction may appear when analyzing the relationship between three or more variables, and defines a situation in which the effect of one causal variable on an outcome forms on the state of a second causal variable.
Interactions are often considered in the context of regression analyses or factorial experiments. An interaction happens when an independent variable has a different effect on the outcome depending on the values of another independent variable.
To find an interaction, we need a factorial design, in which the two (or more) independent variables are crossed with one another, so there are reflections at every combination of levels of the two independent variables.
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Parvinder wants to save $500 for a trip. Which inequality shows the least amount she must save each month for 6 months to accomplish this?
Answer: $84 i think
Step-by-step explanation:
PLS HELPP Which algebraic expression is equivalent to 3(2x – 7)
Answer:
6x-21
Step-by-step explanation:
6x*3 - 7*3
Which image shows a rotation?
Answer:
I believe the answer is A because one is a reflection and another is a translation.
. A grain merchant sold 600 quintals of rice at a profit of 7%. If a quintal of rice cost him Rs 250 and his total overhead charges for transportation, etc. were Rs 1000 find his total profit and the selling price of 600 quintals of rice.
Answer:
The total profit for the grain merchant selling 600 quintals of rice is Rs 12800. To calculate this, we first need to calculate the profit on one quintal. The profit percentage is 7%, so if a quintal costs Rs 250 the profit is 7% of 250 which is Rs 17.5. Now we multiply this with the number of quintals sold, which is 600, to get Rs 10500 as the profit. We then add in the overhead charges of Rs 1000 to get a total profit of Rs 12800. The selling price of 600 quintals of rice is therefore Rs 12800 plus Rs 250 times 600, which equals Rs 180000.
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2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars?
Answer:
I think 6.2 years
Step-by-step explanation:
I THINK OK
a hand of 13 cards is dealt at random from a bridge deck of 52 cards. find the probability that the hand contains 4 queens. (round your answer to four decimal places.)
The probability of the hand containing 4 queens when picked at random is 0.0026.
We can solve the given question easily using probability, permutations, and combinations.
We can pick any card other than the queen in the following number of ways = ⁴⁸C₉ (i)
The queen card can be picked in the following number of ways
= ⁴C₄= 1 (ii)
The total number of ways to choose 13 cards is = ⁵²C₁₃ (iii)
Using the values of (i), (ii), and (iii), we get -
Probability = (⁴⁸C₉ * 1) / ⁵²C₁₃
= [tex]\frac{48!/9!(48-9)! *1 }{52!/13!(52-13)! }[/tex]
= 1677106640 * 1 / 635013559600
= 0.00264
If this is rounded to four decimal places, we get = 0.0026.
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10c - cd + d^3 (if c = -6 and d= 2)
The required simplified solution of the given expression is -40.
Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 10c - cd + d³
Substitute the values,
= -60 + 12 + 8
= -40
Thus, the required simplified solution of the given expression is -40.
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6. a survey shows that 360 out of 500 females and 600 out of 800 males enjoy a game show. based on this evidence, would you argue that the ratio of female and male viewers who enjoy the game show differs? use a 5% level of significance
It is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
Explain the meaning of the term ratio of the number?When two or maybe more numbers are compared, the ratio shows how big one is in relation to the other. The dividend or quantity being divided is referred to as the antecedent, and also the divisor or quantity that also is dividing is referred to as the consequent. A ratio analyzes numbers by division.According to the survey-
360 out of 500 females enjoy the game.
Thus,
Ratio female = number of females who enjoy/ total number of females.
Ratio female = 360/500
Ratio female = 0.72
Now, 600 out of 800 males enjoy a game show.
Ratio male = number of males who enjoy/ total number of males.
Ratio male = 600/800
Ratio male = 0.75
Thus, Ratio female ≠ Ratio male
Therefore, it is concluded that the ratio of female and male viewers who enjoy the game shows the difference.
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three women are selected from the audience of a style show to receive a purse, a pair of gloves, and a scarf. if 23 women are present, in how many different ways may the gifts be given?
The number of different possible ways in which the gifts can be given to 3 out of 23 women is 10626.
Each gift can be considered a position given to one of 23 women. The number of ways in which gift can be given to them is :
First gift : 23 possibilities
Second gift: 22 possibilities
Third gift: 21 possibilities
So, the gifts may be given in
23 * 22* 21
= 10626
We could encounter several patterns and number kinds in mathematics. Sequences are included in one of the number patterns.
Repetition is permitted and order is important in the sequence, which is a predetermined group of objects. Formally, a sequence is a function that connects the elements at each point to natural numbers. It has members, which are known as elements or words, just like a set.
The length of the sequence is determined by the number of items. In contrast to a set, the same items might appear more than once in a sequence at various points, and the order does important.
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What is an estimate of the coordinates of the solution of the system to the nearest tenth?
Answer:
Look at the solution to your other similar question and see if you can figure this one out now.
Step-by-step explanation:
a bowling team has 6 members. how many ways can the captain of the team arrange the bowlers for a game
The number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
Explain the term arrangement?Generally speaking, an arrangement among objects is just a collection of them. A combination (ordering is disregarded) or permutation is used to determine the number possible "arrangements" of the components (order is significant). An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets were arranged in a linear or sequential order.For the stated question-
Total members in bowling team = 6.
Number of ways to arrange them = 6!
Number of ways = 6 x 5 x 4 x 3 x 2 x 1
Number of ways = 720
Thus, the number of ways in which captain of the team arrange the 6 bowlers for a game is 720.
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Divide.
8 ÷ 1/9
Enter your answer in the box.
Answer:
0.8888888..... repeating
Step-by-step explanation:
Answer:
72/1
Step-by-step explanation:
multiply 8 and 9/1
Each of the 6 people in Mandy's family orders 2 tacos. Each taco costs $3. What
is the total cost of the tacos?
Answer: $36
Step-by-step explanation: 6 times 2 is 12
12 times 3 is 36
when solving the equation, which is the best first step to begin to simplify the equation? negative 2 (x 3)
Answer:
Negative one-half (negative 2) (x + 3) = negative 10 (negative one-half
3|2z+9|+12=10. Please help quickly
We will see that the given equation is false for all values of z, thus, the equation has no solutions.
How to solve the equation?Here we have the absolute value equation:
3*|2z + 9| + 12 = 10
To solve this we first need to isolate the absolute value part, so let's do that:
3*|2z + 9| + 12 = 10
3*|2z + 9| = 10 - 12 = -2
|2z + 9| = -2/3
Now, remember that the absolute value is always a positive quantity, then the above equation is false, an absolute value never can be equal to a negative number.
Then our equation has no solutions.
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by what number do we multiply the initial enrollment to get the enrollment one decade later given a 30 % increase
The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
Describe the term percentage of the number?A value or ratio that might be stated as a fraction over 100 is thought to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its total and then multiply it by 100. The proportion ultimately refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.For the stated question-
Let initial enrollment = 100.
After one decade, the enrollment added 30% of the initial.
Thus,
= 100 + 30% of 100
= 100 + 130
= 130
Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.
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a) ¿Cuántas veces contiene la unidad base a la correspondiente del prefijo deci?
Answer:
Deci (símbolo d) es un prefijo del Sistema Internacional que indica un factor de 10−1 (1/10) o una décima parte.
The number of times that the base unit contains the corresponding prefix deci is 10.
What are Base Units?Base units are the units which are used in measurements as the basic ones from which the other units of measurements has been derived.
Some of the common base units are second, meter, kilogram, etc.
We have to find the number of times the base unit contains the corresponding unit with prefix deci.
This means that how many times 1 meter contains decimeter.
This goes for each base units.
We know that,
1 meter = 10 decimeters
Any of the base units is 10 times the corresponding unit with prefix deci.
Hence the number of times that a base unit contains the corresponding unit with prefix deci is 10.
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The question in English is,
How many times does the base unit contain the corresponding prefix deci?
what is the minimum number of cards you would have to pull from a deck to guarantee that you have 4 of a kind? (answer: 40)
The probability that a deck to guarantee that you have 4 of a kind is 40.
Probability:
In math probability refers the possibility of event.
Given,
Here we need to find the minimum number of cards you would have to pull from a deck to guarantee that you have 4 of a kind.
As we know that the total number of cards in the deck is 52.
So, the number of ways of choosing 4 cards from a pack of 52 playing cards is calculated as,
=> ⁵²C₄ = 52!/4!48!
=> ⁵²C₄ = 270725
Similarly, the number of ways of choosing 4 cards of same suit
=> ¹³C₄ = 13!/4!9!
=> ¹³C₄ = 715
So, the number of ways of choosing 4 cards of different suit is calculated as,
=> 715/17 = 40
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Tell whether 20/8 and 28/9 form a proportion.
The two given fractions [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex] do not form a proportion.
How to find fractions that are in the same proportion?
Proportion shows that two fractions are equivalent or equal.
The given fractions are [tex]\frac{20}{8}[/tex] and [tex]\frac{28}{9}[/tex]
Proportions are expressed in the form a:b::c:d
Where a and b represent antecedent and consequent respectively
This implies that a:b::c:d ⇒ [tex]\frac{20}{8}[/tex] : [tex]\frac{28}{9}[/tex]
The values [tex]\frac{20}{8}[/tex] = [tex]\frac{28}{9}[/tex]
Since (20x9) is not equal to (8x28)
Multiplying the two sides to get
180=224. This is a wrong representation.
Therefore the two fractions do not show a proportion
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5(2t -3) - 7.5t = 0.5 (12-t) Show your work
Answer:7
Step-by-step explanation:
Can write it as
10t -15 - 7.5t = 6 - 0.5t
2.5t -15 = 6 - 0.5
3t - 15= 6
3t = 21
t= 7
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table. Years of experience salary 0 $40,000 1 $42,150 2 $44,260 3 $46,785 4 $48,820 5 $51,126 use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (round your answer to the nearest dollar. ) $52,900 $53,340 $53,914 $55,573.
The wage for a worker with 7 years of experience may be calculated using the equation for the line of best fit as follows: D. $55,573.
A line of best fit is what?A trend line, also known as a line of best fit, is a statistical (analytical) technique that is used with a scatter plot to ascertain whether or not there is any link (correlation) between a set of data.
In this case, the pay would be placed on the y-axis of the scatter plot and the employee's years of experience would be put on the x-axis.
What is the equation of best fit?A line of best fit can be described by the equation y=mx+b, where m denotes the slope and b the y-intercept. To comprehend the idea of how to roughly approximate the equation of a line of best fit and make predictions, we will look at two examples that show a scatter plot with a line of best fit.
We may rationally and logically conclude that the equation for the line of best fit is given by: by carefully examining the scatter plot that models the data in the provided table (see attachment).
y = 2233.3x + 39940
The wage for an employee with seven years of experience would thus be predicted using the equation for the line of best fit as follows:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
The measure of the smallest angle A of the triangle is 29°, whose second angle is 6 degrees larger than the smallest angle and the third angle is 4 times as big as the smallest one.
we know that the Sum of the measure of all the angles in the triangle is 180 degrees.
Let, ∠ A = smallest angle
∠ B = A+6
∠ C = 4 (∠A)
So, we can write that,
∠ A + ∠ B + ∠ C = 180°
∠A + (∠A+6) + 4∠A = 180°
6 + ∠A + ∠ A + 4∠A = 180°
6 + 6 ∠A = 180°
6∠A = 180° - 6
6 ∠A = 174
∠A = 174/6
∠A = 29°
Hence, the smallest angle A is 29°
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Çok acil arkadaşlar lütfen
Answer:
Step-by-step explanation:
If you pay $25 per month for your cell phone and an additional $5 for each picture
you send, an equation to represent the cost of your phone would be
y = 5x + 25
y = 25x + 5
y = 3x + 1
y = x + 30
If you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that you pay $25 per month for your cell phone
An additional $5 for each picture you send
We have to find the equation which represent the cost of your phone
Let x be the number of months.
The equation should be in the form of y=mx+b
in the given equation m is the slope and b is the y intercept or the additional fee.
y=25x+5 is the required equation
Hence, if you pay $25 per month for your cell phone and an additional $5 for each picture you send then y=25x+5 is the equation to represent the cost of your phone.
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a statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. the 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. suppose the distribution of the population of number of pushups that can be done is approximately normal. what is the standard error of the mean?
Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
Given that,
One day, a teacher of statistics randomly selected 10 pupils' names from a hat and instructed them to complete as many pushups as they could before class began. The 10 students who were chosen at random performed an average of 15 pushups, with a standard deviation of 9. Assume that the population's distribution of the maximum number of pushups is roughly normal.
We have to find what is the standard error of the mean.
We know that,
For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.
The sample mean is of 15 is x=15 .
The sample standard deviation is of 9 is s=9.
The sample size is of 10 is n=10.
First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.
Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622
The margin of error is of:
M=ts/n
Then:
M=2.2622(9/√10)
M=6
The confidence interval is:
x±M
x-M=15-6=9
x+M=15+6=21
Therefore, Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).
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please help me i need it bad
Using the secant-secant theorem,
[tex]\frac{13x+7-60}{2}=5x-10 \\ \\ 13x-53=10x-20 \\ \\ 3x-53=-20 \\ \\ 3x=33 \\ \\ \boxed{x=11} \\ \\ \\ \\ \angle RDB=5(11)-10=\boxed{45^{\circ}}[/tex]
consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player? a) 0.0121 b) 0.0124 c) 0.0120 d) 0.0123 e) 0.0126 f) none of the above.
The probability that exactly 17 households own a DVD player is b) 0.0124
How to calculate the probability?P = probability of own DVD player = 53% = 0.53
n = sample of households = 22
x = number of households own a DVD player = 17
Since it is binomial experiment, we use binomial probability formula to calculate the probability.
P(X) = [tex]^{n}C_{x}\times P^{x}\times (1-P)^{n-x}[/tex]
With combination formula as below,
[tex]^nC_x[/tex] = [tex]\frac{n!}{x!(n-x)!}[/tex]
P(X) = [tex]^{22}C_{17}\times 0.53^{17}\times (1-0.53)^{22-17}[/tex]
= [tex]\frac{22!}{17!(22-17)!}\times 0.53^{17}\times 0.47^{5}[/tex]
= 26334 × 0.0000205 × 0.0229345
= 0.0123811
= 0.0124
Thus, the probability is 0.0124 for 17 households own DVD player.
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find the quotient of 2 divided by 6,138
Answer= The number 6138 is called the numerator or dividend, and the number 2 is called the denominator or divisor.
The quotient of 6138 and 2, the ratio of 6138 and 2, as well as the fraction of 6138 and 2 all mean (almost) the same:
6138 divided by 2, often written as 6138/2.
Read on to find the result of 6138 divided by 2 in decimal notation, along with its properties.