Answers
The measure of the side of the partial rectangle is 7 cm
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the rectangular figure be represented as P
Now , the equation will be
The length of the rectangle 1 = 12 cm
The width of the rectangle 1 = 6 cm
The length of the rectangle 2 = 15 cm
The width of the rectangle 2 = 5 cm
Now , let the unknown length be represented as A
And , A = length of the rectangle 1 - width of the rectangle 2
Substituting the values in the equation , we get
The unknown length A = 12 cm - 5 cm
On simplifying the equation , we get
The unknown length A = 7 cm
Hence , the unknown length of the rectangle is A = 7 cm
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Related Questions
7. to survey the opinions of bleacher fans at wrigley field, a surveyor plans to select every one-hundredth fan entering the bleachers one afternoon. will this result in a simple random sample of cub fans who sit in the bleachers?
Answers
The survey does not result in a simple random sample of Cubs fans who sit in the bleachers. So, option E) is correct.
Simple random sampling is a method of selecting a sample from a population such that each element in the population has an equal chance of being selected. This is achieved by using a random number generator or by randomly assigning a number to each element in the population and then selecting a sample based on those numbers.
In this case, the survey plan to select every one-hundredth fan entering the bleachers is not a simple random sample because not every sample of the intended size has an equal chance of being selected. For example, the first fan entering the bleachers has a 1 in 100 chance of being selected, while the second fan has a 2 in 100 chance of being selected. This creates a non-uniform selection process, which is not representative of simple random sampling.
Therefore, the survey plan to select every one-hundredth fan entering the bleachers results in a form of systematic sampling, which is not a simple random sample.
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Complete Question: One afternoon, a surveyor intends to pick every fan entering the bleachers to get the views of those who sit in them at Wrigley Field. Will this lead to a straightforward random sample of Cubs supporters seated in the stands?
A. Yes, as each bleacher spectator has an equal chance of getting chosen.
B. The answer is yes, but only if the bleachers have a single entrance.
C. The control group will consist of the 99 out of 100 bleacher spectators who were not chosen.
D. The answer is "yes," as this is an illustration of systematic sampling, a subset of basic random sampling.
E. No, since there are unequal odds of selecting each sample of the intended size.
Find the value of the expression
7/8-v
for v =5/8
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
1/4
Step-by-step explanation:
7/8 - 5/8 = 2/8
2/8 divided by 2/2 is 1/4
Answer:
7/8-5/8
Step-by-step explanation:
7-5/8
2/8
2 into itself and into 8 is equal to 1/4
Marisa divides a number by a power of ten and the quotient is 1.4. She says that if she multiplies the number by the same power of ten, the product is 14,000. What was the dividend in Marisa's original
problem? Use patterns to explain your thinking.
Help
Answers
The required number is 140 and it is divided by 10²
Finding the number:Assume the given numbers with 2 different variables and form the mathematical expressions according to the given conditions in the problem. Now solve the resultant equations by substitution method for the values of both variables.
Here we have
Marisa divides a number by a power of ten and the quotient is 1.4.
If she multiplies the number by the same power of ten, the product is 14,000.
Let 'x' be the number and the power of 10 is 'a'
By the given data,
=> x/10ᵃ = 1.4 ---- (1)
=> 10ᵃx = 14000 ---- (2)
From (1)
=> x = 1.4 × 10ᵃ --- (3)
From (3) and (2)
=> 10ᵃ(1.4 × 10ᵃ) = 14000
=> [tex]10^{2a} = \frac{14000}{1.4}[/tex]
=> [tex]10^{2a} = 10000[/tex]
=> [tex]10^{2a} = 10^{4}[/tex]
=> 2a = 4
=> a = 2
From (3)
=> x = 1.4 × 10²
=> x = 140
Therefore,
The required number is 140 and it is divided by 10²
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50 points to whoever can answer with explanation.
Answers
Answer:
1/ a, c, d
2/ You are missing the option in the picture.
Step-by-step explanation:
If a relation is a function, one input can only have one output!
1/
b is wrong because 1 has two outputs -3 and 0. So, the answer for 1 is: a, c, d
2/
To test whether the graph is a function, we have to see if one x has 2 y or not! If it has 2 y, then it is not a function.
You are missing the options for question 2! So I can't answer number 2.
in a given population, 11% of the likely voters are african american. a survey using a simple random sample of 600 landline telephone numbers finds 8% african americans. is there evidence that the survey is biased? explain.
Answers
There is an evidence that suggest that the survey is biased because the proportion of African Americans in the population, in our test, is less than 11%.
Is there evidence that the survey is biased?To determine if the survey is biased, we can use hypothesis testing. Let's define our null hypothesis as: "the proportion of African Americans in the population is 11%". Let's define our alternative hypothesis as "the proportion of African Americans in the population is less than 11%".
We can then use a one-tailed z-test to test our hypothesis, with a significance level of 0.05. The formula for the test statistic is:
z = (p - P) / sqrt(P(1-P)/n)
Plugging in the values, we get:
z = (0.08 - 0.11) / sqrt(0.11(1-0.11)/600)
x = -2.23
Looking up the critical value for a one-tailed test with a significance level of 0.05, we find it to be -1.645. Since our calculated z-value (-2.23) is less than the critical value (-1.645), we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of African Americans in the population is less than 11%.
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Estefan brings two bags of sandwiches to a party. One bag contains 6 peanut butter sandwiches, 4 cheese sandwiches and 2 ham sandwiches. The other bag contains 4 peanut butter sandwiches, 2 cheese sandwiches, 4 ham sandwiches and 2 chicken salad sandwiches. If John picks one sandwich from each bag at random, what is the probability both will be peanut butter sandwiches? Express your answer as a common fraction
Answers
The number of peanut butter sandwiches in the first bag is 6 and in the second bag is 4. So, the probability of picking a peanut butter sandwich from each bag is 1/6.
The probability of an event happening is the number of successful outcomes divided by the number of total possible outcomes. In this case, there are two bags of sandwiches and John is picking one sandwich from each bag.
The first bag has 12 sandwiches in total, 6 of which are peanut butter. So, the probability of picking a peanut butter sandwich from the first bag is 6/12 or 1/2.
The second bag has 12 sandwiches in total, 4 of which are peanut butter. So, the probability of picking a peanut butter sandwich from the second bag is 4/12 or 1/3.
To find the probability of both sandwiches being peanut butter, you multiply the individual probabilities:
1/2 * 1/3 = 1/6.
So, the probability of both sandwiches being peanut butter is 1/6.
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four cards are dealt from a standard deck with 52 cards (w/o replacement), one at a time. what is the chance that a heart turns up on the fourth card, but not before? group of answer choices
Answers
The probability of getting a heart on the fourth card but not before that is 0.2278
The probability of getting a heart on the fourth card can be calculated by multiplying the probability of not getting a heart in the first three cards by the probability of getting a heart on the fourth card.
The probability of not getting a heart in the first three cards can be calculated as follows:
(39/52) * (38/51) * (37/50) = 0.862
where 39/52 is the probability of not getting a heart on the first card, 38/51 is the probability of not getting a heart on the second card (given that no heart was drawn in the first card), and 37/50 is the probability of not getting a heart on the third card (given that no heart was drawn in the first two cards).
The probability of getting a heart on the fourth card can be calculated as follows:
13/49 = 0.265
where 13/49 is the probability of getting a heart on the fourth card (given that no heart was drawn in the first three cards).
So, the probability of getting a heart on the fourth card, but not before, can be calculated as:
0.862 * 0.265 = 0.2278
So, the chance of getting a heart on the fourth card, but not before, is approximately 22.78%.
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Pedro tiene como proyecto de construir la casa de sus sueños, estuvo ahorrando dinero, pero no fue suficiente ya que para hacer la casa al 100% necesita 60.000.0000$ lo que quiere decir que le faltan 35.000.0000$ para poder juntar todo el dinero. Contemplo la posibilidad de prestar en un banco los 35.000.000$ para pagarlos en 10 años con una tasa de interés del 8%. Preguntas. ¿Cuánto dinero había reunido Carlos antes de pensar en prestar con el banco? 25.000.000$ ¿Cuánto dinero pagaría Carlos en total al finalizar los 10 años? 37.800.000 ¿Qué precio tendría cada cuota mensual durante los 10 años? 315.000$
Answers
Pedro había reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagaría 37.800.000$ en total, lo que significa que tendrá que pagar una cuota mensual de 315.000$ durante los 10 años para poder cumplir con el préstamo.
El préstamo que Carlos está considerando es una forma común de financiamiento para proyectos de construcción de viviendas. Esta forma de financiamiento le permite a Carlos acceder a fondos que de otro modo no tendría, permitiéndole construir su casa de los sueños. El préstamo a largo plazo también le ofrece la flexibilidad de pagar el préstamo en cuotas mensuales durante un período de 10 años.
Versión en inglés:
Peter had raised $25,000,000 before he thought about lending with the bank. At the end of the 10 years, Carlos would pay $37,800,000 in total, which means he will have to pay a monthly payment of $315,000 over the 10 years in order to make good on the loan.
The loan Carlos is considering is a common form of financing for home construction projects. This form of financing allows Carlos to access funds he would not otherwise have, allowing him to build his dream home. The long-term loan also offers him the flexibility to repay the loan in monthly installments over a 10-year period.
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Find the sum of 5√25 and √7 in simplest form. Also, determine whether the result
is rational or irrational and explain your answer.
Answers
= 25 + 2.64575131
=27.64575131
This number is irrational simply because it cannot be represented as a fraction or in ratio form. Also the square root of 7 is irrational because the number after the decimal point does not terminate and does not repeat.
Please help me!!!! I cannot figure it out
Answers
Answer: 12/37
Step-by-step explanation:
sin A= bc/ab = 12/37
The sine of the angle is equal to the ratio of the opposite to the hypotenuse (Ik this probably made 0 sense but I hope it helps! :D)
i have a question.
0,2 2,3 4,4 6,5 8,6 10,7
(coordinates ^)
Q. first, complete the table of x and y coordinates.
x. y
----------
3. _
5. _
7. _
Answers
Answer:
x | y
0 | 2
2 | 3
3 | 4
4 | 5
5 | 6
6 | 7
7 | 8
So, completing the table:
x | y
3 | 4
5 | 6
7 | 8
Step-by-step explanation:
Please study well it is a very easy question
Choose a second initial value that is 0. 01 greater than the initial value from question 9. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. (my initial value from question 9 is 2 btw. )
Answers
The result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.
The initial value for this question is 2 + 0.01 = 2.01. If we iterate this initial value using the function "f" ten times, we get the following sequence:
1st iteration: f(2.01) = 3.07 - [tex](2.01)^{2}[/tex]= 0.1599
2nd iteration: f(0.1599) = 3.07 - [tex](0.1599)^{2}[/tex]= 2.868201
3rd iteration: f(2.868201) = 3.07 - [tex](2.868201)^{2}[/tex]= 0.34459799
4th iteration: f(0.34459799) = 3.07 - [tex](0.34459799)^{2}[/tex] = 2.46306801
5th iteration: f(2.46306801) = 3.07 - [tex](2.46306801)^{2}[/tex] = 0.86121799
6th iteration: f(0.86121799) = 3.07 - [tex](0.86121799)^{2}[/tex] = 2.11255201
7th iteration: f(2.11255201) = 3.07 -[tex](2.11255201)^{2}[/tex] = 1.47511099
8th iteration: f(1.47511099) = 3.07 -[tex](1.47511099)^{2}[/tex] = 1.87593299
9th iteration: f(1.87593299) = 3.07 -[tex](1.87593299)^{2}[/tex] = 1.28972499
10th iteration: f(1.28972499) = 3.07 -[tex](1.28972499)^{2}[/tex] = 1.68900499
So, the result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.
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A rabbit starts at 10 along a number line and then makes three jumps. First the rabbit jumps 4 units, then 2 units, and finally makes a jump of 1 unit. We don't know the direction of any jump.What are the possibilities
Answers
Answer:
Step-by-step explanation:
given the graph of y = -3/2x - 1 and y = -x + 4 which of the following is a solution to both equations
pls help!
Answers
(1, -1) is the solution to both equations.
How to find the solution to the graph of system of linear equations?
A system of equations is a collection of two or more equations with the same variables. The goal is to find values for the variables that simultaneously satisfy all the equations in the system. There are different methods to solve a system of equations, including substitution, elimination, and graphing
The solution to both equations can found be determine by picking the x and y values of the point of intersection of the two lines. That is:
At the point of intersection of the lines:
x = 1 and y = -1
Thus, the solution to both equations is (1, -1)
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Jack has $684 in his wallet, which is 6 times as much as Jill has. How much money does Jill have in her wallet?
Answers
Answer:
114
Step-by-step explanation:
If jack has 684 which is 6 times jill then divide 645 by 6 and thenmake sure its correct by multiplying 6 times what you got and if the awnser if 684 its correct
Answer:
$4,104
thus : since jack has $684
jill=6*$684=$4104
4. What kind of sequence is the pattern 15, 17, 20, 24, 29,. ? *
is it an arithmetic or geometric sequence?
Answers
No, the given sequence is neither an arithmetic nor geometric sequence as there is no common difference nor common ratio.
Pattern for difference is dₙ = dₙ₋₁ + 1.
Pattern of the sequence is :
15, 17, 20, 24, 29,.....
15 + 2 = 17
17 + 3 = 20
20 + 4 = 24
24 + 5 = 29
Next number will be
29 + 6 = 35
35 + 7 = 42 and so on.
Difference of two consecutive terms are related by :
dₙ = dₙ₋₁ + 1
Common difference is not same for all the terms so it is not arithmetic sequence.
Common ratio is also not constant implies it is not geometric sequence.
Therefore, pattern for difference is dₙ = dₙ₋₁ + 1 but sequence is neither an arithmetic nor geometric sequence.
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A car sales person makes $7.00 per hour plus $100.00 for every car sold. Which expression represents the amount in dollars the salesperson makes, before taxes, if x cars are sold in 40 hours?
Answers
The expression represents the amount in dollars the salesperson makes, before taxes, would be 7x + 100 = 40.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given that car sales person makes $7.00 per hour plus $100.00 for every car sold.
Therefore, we have;
7x + 100 = 40
The expression represents the amount in dollars the salesperson makes, would be 7x + 100 = 40.
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help i will give alot of points
Put the following integers in order from least to greatest:
1, 4, and −3.
Answers
Answer:
Hi there! The answer is -3, 1, 4.
Step-by-step explanation:
4 is the greatest and -3 is the least.
Hope this helps!
Brainiest? Can click the crown on this answer? Thanks!
based on the boxplot, approximately what percent of the people who entered the amusement park met the height requirement for the attraction?
Answers
Based on the boxplot, approximately 50% percent of the people who entered the amusement park met the height requirement for the attraction.
About Box PlotBox-Plot is a summary of the sample distribution presented graphically which can describe the shape of data distribution (skewness), a measure of central tendency and a measure of dispersion (diversity) of observational data. There are 5 statistical measures that we can read from the boxplot, namely:
minimum value: the smallest observed value Q1: lowest quartile or first quartile Q2: median or average value Q3: highest quartile or third quartile maximum value: the largest observed value.In addition, the boxplot can also show whether there are outlier values and extreme values from the observed data.
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the variance of a sample of 169 observations equals 576. the standard deviation of the sample equals:
Answers
If the variance of a sample of 169 observations equals 576, then the standard deviation of the sample equals to 24.
It is given that number of observations are 169 and their variance is 576,
now we have to find the standard deviation of the sample :
The Standard Deviation is a measure of how spread out numbers are. It's symbol is σ. It is the square root of the Variance. Variance is the average squared deviations from the mean.
Standard deviation (σ) = [tex]\sqrt{variance}[/tex]
Standard deviation (σ) = [tex]\sqrt{576}[/tex]
Standard deviation (σ) = 24
so the standard deviation of the sample is 24.
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6 divide by 222 long devision
Answers
Answer: 37
Step-by-step explanation:
6 divided into 2 is 0.
0 multiplied by 6 is 0.
2-0=2
bring down the other 2
6÷22=3
3×6= 18
23-18= 4
bring down the 3rd 2
now we have 44
44÷6 =43
42-42= 0
hence the answer is 37
WILL GIVE brainliest
Answers
Answer:
Below
Step-by-step explanation:
y ( 5.98x - 5.81) - 2.19 y =
5.98xy - 5.81y - 2.19 y
5.98xy + ( - 5.81y - 2.19 y)
5.98xy + ( - 8y )
5.98xy - 8y or y ( 5.98x-8)
what is what is 9+10+12+13+18+17+21+98+207
Answers
Answer:
405
Step-by-step explanation:
Answer: 405
Step-by-step explanation:
Class A, B and C were given some chocolate bars to sell for their fundraising event. The average number of chocolate bars the 3 classes had at first was 225. After Class B sold twice as many chocolate bars as Class A and Class C sold 3/4 as many chocolate bars as Class B, the average number of chocolate bars the 3 classes had left was 45. How many chocolate bars did Class A and Class C sell altogether?
Answers
Class A and Class C sell 187.5 altogether
How many chocolate bars did Class A and Class C sell altogether?Represent the classes with their initials
So, we have
B = 2A
C = 3/4 * B = 3/4 * 2A
C = 3/2A
The total number of bars they had initially was
A + B + C = Total
A + 2A + 3/2A = Total
Total = 4.5A
The average number of bars the 3 classes had initially was 225,
So
4.5A = 225
A = 75
For Class A and Class C together, we have
Class A and C = A + 3/2A
Class A and C = 75 + 3/2 * 75
Class A and C = 187.5
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Kindred invested $38,976 into his first company. His investment decreased by 3. 5% each year over the first 3 years. Which exponential decay modle could kindred use ti determin the amount this investment will be worth if it continues to decrease at the same rate?
Answers
The exponential decay model for the investment of $38,976 with decreased rate 3.5% for 't' years is equal to option b. 38,976 (0.965 )^t.
Invested amount by Kindred = $38,976
Each year investment decreased by 3.5%
Number of years represented by 't' = 3 years
Amount decreased by 100 - 3.5% = 96.5%
= 0.965
Total amount decreased in three years = $38,976 × ( 0.965 )³
= $35,025.085
Exponential decay model for 't' years at the same rate is given by the equation :
= 38,976 × ( 0.965 )^t
Therefore, the exponential decay model for the given situation of investment with decreasing rate is given by option b. 38,976 (0.965 )^t.
The above question is incomplete , the complete question is:
Kindred invested $38,976 into his first company. His investment decreased by 3.5% each year over the first 3 years. Which exponential decay model could Kindred use to determine the amount his investment will be worth if it continues to decrease at the same rate?
a. 38,976 (1.035 )^t
b. 38,976 (0.965 )^t
c. 38,976 (1 -r )^3.5
d. 38,976 (1 -r )^0.035
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The expression 5x + 10 represents the amount of money in dollars the swim team earns by selling x school
spirit shirts.
If the team had to pay 2x + 3 in expenses, write and simplify an expression to represent their profit. Use
the vertical method. (NOTE: Profit = Income - Expenses)
PLS HELP ME SOMEONE!!!
Answers
The profit of the swimming club is 3x + 7 bucks, can be addressed by the articulation: 5x + 10 - (2x + 3),
Utilizing the upward technique:
5x + 10
2x + 3
=3x + 7
In this way, the benefit of the swimming club is 3x + 7 bucks.
The adage "5x + 10" addresses how much cash in dollars that the swimming club procures by selling x school soul shirts. To ascertain their benefit, the group's costs must be deducted from the pay. The saying "2x + 3" addresses the costs brought about by the group. To work on the articulation for benefit, the upward strategy can be utilized where the two articulations are thought of one over the other, with the comparing terms adjusted, and the subsequent articulation is deducted from the first. The last saying, "3x + 7", addresses the benefit of the swimming club in dollars, where every unit expansion in the quantity of shirts offered prompts an expansion in benefit by 3 bucks.
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3/4(24x+28)-(4x-1)
I don't understand how to get the answer.
Answers
The expression evaluates to 14x + 22.
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
3/4(24x + 28) - (4x - 1)
We can start by simplifying the expression inside the parentheses:
3/4(24x + 28) - (4x - 1)
Remove the brackets
18x + 21 - 4x + 1
Evaluate the like terms
14x + 22
So, the value of the expression evaluates to 14x + 22.
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Solve for a 7x - 5 < 13 Give your answer as an improper fraction in its simplest form.
Answers
Answer:
[tex]x < \dfrac{18}{5}[/tex]
Step-by-step explanation:
Solving inequalities:7x - 5 < 13
Add 5 to both sides
7x < 13 + 5
7x < 18
Divide both sides by 7,
[tex]\sf x < \dfrac{18}{7}[/tex]
Answer:
[tex]x < \dfrac{18}{7}[/tex]
Step-by-step explanation:
We are being asked to solve for x as an improper fraction in simplest form given the equation: [tex]7x - 5 < 13[/tex].
First, we must isolate the variables (x's) from the constants (numbers). We can achieve this by adding 5 to both sides.
[tex]7x - 5 + 5 < 13 + 5[/tex]
[tex]7x < 18[/tex]
Then, we can solve for one multiple of x by dividing both sides by x's coefficient, which is 7.
[tex]7x < 18\\\overline{\ 7\ } \ \ \ \: \overline{\ 7\ }[/tex]
[tex]x < \dfrac{18}{7}[/tex]
In the given, figure find y!
Answers
Answer:
i cant be botherd to help but
Step-by-step explanation:
use the knolage 180 degrees = full triangle
180 degress = 1 stright line
Answer:
40⁰
Step-by-step explanation:
Angles subtended by the same chord on the circumference
y= 40⁰
23 equals x minus 9; x minus 14
Answers
The value of 'x' satisfying the statement is x = 32 or x = 27.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A statement 23 equals x - 9, x - 14 which can be numerically expressed as, 23 = x - 9 or 23 = x - 14.
Therefore,
x - 9 = 23 or x - 14 = 23.
x = 23 + 9 or x = 23 + 14.
x = 32 or x = 37.
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