Answer:
1 meal = $3.080
Last week, Danny started washing cars to earn some money to pay for a trip to Disney world. He washed four cars on Day 1 and six cars every day after that. Write the function that models the total number of cars, c(d), Danny has washed after d days?
Answer:
c(d) = 4 + 6(d - 1)
Step-by-step explanation:
Let
d = number of days Danny washed cars
Day 1 = 4 cars
Other days after day 1 = 6 cars
Function that models the total number of cars, c(d), Danny has washed after d days?
c(d) = 4 + 6(d - 1)
A polling company reported that 17% of 2286 surveyed adults said that they play baseball. Complete parts (a) through (d) below. a. What is the exact value that is 17% of 2286? The exact value is 0 (Type an integer or a decimal.) b. Could the result from part (a) be the actual number of adults who said that they play baseball? Why or why not? O A. No, the result from part (a) could not be the actual number of adults who said that they play baseball because a count of people must result in a whole number. OB. Yes, the result from part (a) could be the actual number of adults who said that they play baseball because the results are statistically significant. OC. Yes, the result from part (a) could be the actual number of adults who said that they play baseball because the polling numbers are accurate. OD. No, the result from part (a) could not be the actual number of adults who said that they play baseball because that is a very rare activity. c. What could be the actual number of adults who said that they play baseball? The actual number of adults who play baseball could be (Type an integer or a decimal.) d. Among the 2286 respondents, 297 said that they only play hockey. What percentage of respondents said that they only play hockey? (Round to two decimal places as needed.)
Answer:
Step-by-step explanation:
a. The exact value that is 17% of 2286 is 0 (zero).
b. O A. No, the result from part (a) could not be the actual number of adults who said that they play baseball because a count of people must result in a whole number.
c. The actual number of adults who said that they play baseball could be any value between 0 and 2286. Without further information, we cannot determine the exact number.
d. To calculate the percentage of respondents who said they only play hockey, we divide the number of respondents who only play hockey (297) by the total number of respondents (2286), and then multiply by 100:
Percentage = (297 / 2286) * 100
Percentage ≈ 12.99%
Approximately 12.99% of respondents said that they only play hockey.
C. If f(4x+5)=12x+18 then find f¹(x).
If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.
\(f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3\)
Then swapping out 4x + 5 for x gives
\(f(x) = 3x + 3\)
The inverse of f(x), if it exists, is a function f⁻¹(x) such that
\(f\left(f^{-1}(x)\right) = x\)
Evaluate f at f⁻¹ and solve for f⁻¹ :
\(f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}\)
If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.
\(f(x) = 3x+3 \implies f'(x) = 3\)
Let U=(1, 2, 3, 4, 5, 6, 7, 8), A={1, 2, 3, 6), and B=(3, 4, 5). Find the set An B. ANB=
The set A ∩ B = {3}
The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.
The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.
To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.
Therefore, the intersection of sets A and B is {3}.
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expression is equivalent to
14
−
17
Answer:
14/17
Step-by-step explanation:
14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.
If the question you're asking is 14-17, the answer would be -3...
I hope this helped you out!! Have an awesome day C:
Step-by-step explanation:
if you are subtracting it is -3
if you are dividing it is 0.823
if you are looking for an equivalent fraction it is 28/34
at the local college, a study found that students completed an average of 4 classes per semester. a sample of 132 students was taken. what is the best point estimate for the average number of classes per semester for all students at the local college?
The best point estimate for the average number of classes per semester for all students at the local college is 4, based on the study that found students completed an average of 4 classes per semester and the sample of 132 students that was taken.
Based on the information provided, the best point estimate for the average number of classes per semester for all students at the local college can be calculated as follows:
1. Identify the sample average: In this case, it is given that students completed an average of 4 classes per semester.
2. Determine the sample size: Here, the sample size is 132 students.
Since the point estimate is essentially the sample average, the best point estimate for the average number of classes per semester for all students at the local college is 4.
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1. Determine which property is demonstrated below:
OG=NQ and GE=UY,
so OG +GE=NQ +UY
O subtraction property
distribution property
substitution property
O addition property
O None of these are correct.
4
Hence, the property is based on addition property,
OG=NQ and GE=UY,
so OG +GE=NQ +UY.
What is addition property?
When the same amount is added to both sides of an equation, the equation does not change, according to the addition property of equality. A = B remains valid even if a number x is added to both sides of the equation. It can be mathematically stated as A + x = B + x.
As demonstrated below
OG=NQ and GE=UY,
so OG +GE=NQ +UY
So this property leads to addition property.
So the correct option regarding this,
Addition property.
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Which equation shows the inverse property of multiplication?
Answer:
C
Step-by-step explanation:
Answer:
(a/b)*(b/a)=1.
Step-by-step explanation:
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
suppose the probability that maya is home is 1/3 and the probability that jim is home is 1/4. but the probability that jim is home given that maya is home is 1/2. what's the probability that they're both home?
The probability that they're both home is 1/12.
In the given question,
Probability of Maya at home P(A) = 1/3
And probability of Jim at home P(B) = 1/4
The probability that Jim is home given that maya is home P(A∪B) = 1/2
We have to find the probability when they both are at home P(A ∩ B).
As we can see that the probability of both the events are independent
So, we can use
P(A ∪ B) = P(A) + P(B) – P(A ∩ B)
Therefore,
1/2 = 1/3 +1/4 – P(A ∩ B)
P(A ∩ B) = 7/12 – 1/2
P(A ∩ B) = 1/12
Hence, the probability that they're both home is 1/12.
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Find the volume of a cylinder with a diameter of 28 meters and a height of 7 and one half meters. Approximate using tt =22 over 7.
if it has a diameter of 28, its radius is half that or 14.
\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=14\\ h=7.5 \end{cases}\implies V=\pi (14)^2(7.5) \\\\\\ V=1470\pi \implies V=1470(\frac{22}{7})\implies V=4620~m^3\)
Richard Gaziano is a manager for Health Care, Inc. Health Care deducts Social Security, Medicare, and FIT (by percentage method) from his earnings. Assume a rate of 6.2% on $118,500 for Social Security and 1.45% for Medicare. Before this payroll, Richard is $1,000 below the maximum level for Social Security earnings. Richard is married, is paid weekly, and claims 2 exemptions. What is Richard’s net pay for the week if he earns $1,700?
Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.
First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.
Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.
To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.
Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.
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A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.
Answer:
15m times 2m
Step-by-step explanation:
Alex wants to buy packs of gaming cards until she gets a certain card she wants, but she only has enough money to buy at most two packs. Suppose that each pack has a 20\%20%20, percent chance of containing the card she wants, and each pack costs \$10$10dollar sign, 10. The table below displays the probability distribution of XXX, the amount of money Alex spends on these cards. X=\text{money spent}X=money spentX, equals, start text, m, o, n, e, y, space, s, p, e, n, t, end text \$10$10dollar sign, 10 \$20$20dollar sign, 20 P(X)P(X)P, left parenthesis, X, right parenthesis 20\%20%20, percent 80\%80%80, percent Given that \mu_X=\$18μ X =$18mu, start subscript, X, end subscript, equals, dollar sign, 18, calculate \sigma_Xσ X sigma, start subscript, X, end subscript. Round your answer to two decimal places.
Answer:
4 dollars
Step-by-step explanation:
The standard deviation of the pack of gaming cards is 4
The entry on the table is given as:
x | $10 | $20
P(x) | 20% | 80%
Also, we have:
\(\mu_x = 18\)
The standard deviation of a dataset is calculated using:
\(\sigma_x = \sqrt{E(x^2) - \mu_x^2}\)
Where:
\(E(x^2) = \sum x^2 \times P(x)\)
This gives
\(E(x^2) = 10^2 \times 20\% + 20^2 \times 80\%\)
\(E(x^2) = 340\)
\(\sigma_x = \sqrt{E(x^2) - \mu_x^2}\) becomes
\(\sigma_x = \sqrt{340 - 18^2}\)
\(\sigma_x = \sqrt{340 - 324}\)
\(\sigma_x = \sqrt{16}\)
Take positive square root
\(\sigma_x = 4\)
Hence, the standard deviation of the dataset is 4
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A soda can has a diameter of 2.5 inches and is 4.8 inches tallFind the surface area of the soda can. Round to the nearest hundredth.
Answer:
a soda can has diameter 2.5 and 4.8 find surface is divides by 1.98
NEEDNJWLO ASAP MATH HOMEWORK PLZ
Answer:
you can use apps like socratic to get the answer i do this before i come to brainly
Step-by-step explanation:
What are equivalent fractions
Answer: one I said
Step-by-step explanation: please help me with mine
Answer:
Equivalent fractions are fractions that look different but that name the same number. For example:
4/8 and 1/2. They are equivalent fractions. They look different but if you simplify 4/8, you get 1/2.
HELP ASAP!!!
What is the length of BC¯¯¯¯¯?
Enter your answer in the box.
How many units???
Answer:
So, BC = BP+PC = 3 + 7 = 10 cm. Hence, the length of BC is 10 cm.
Step-by-step explanation:
Answer:
x=22 units
Step-by-step explanation:
because the base angles are congruent then the sides are congruent to
2x -24 = x -2 , now isolate x
2x -x = 24 -2
x = 22
What are some examples of specific values carried on through generations?
Pass down expensive jewelry.
Go on costly family vacations.
Participate in special mealtimes and celebrations.
Attend the same university as family members.
Answer:
20+(56)-18=
Step-by-step explanation:
some specific values are carried on 15 to 60 numbers
5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?
Answer:
13 weeks
Step-by-step explanation:
5 times 13= 65 +87= 152
8 times 13 = 104+58=152
Answer:
Week 4
You have to make a function table.
Adele spent 8 minutes on the phone while routing 2 phone calls. If she routes 4 phone calls, how much time will Adele have spent on the phone in total? Solve using unit rates.
Answer:
16 minutes
Step-by-step explanation:
Given
Represent minutes with M and Phone calls with P.
When M = 8; P = 2
Required
Determine M when P = 4
First, we need to determine the constant of proportion using:
\(M = k * P\)
Where k represents the constant:
\(8 = k * 2\)
Divide through by 2
\(4 = k\)
\(k = 4\)
Solving for M, when P = 4
Substitute 4 for P and 4 for k in \(M = k * P\)
\(M = 4 * 4\)
\(M = 16\)
Hence:
She spent 16 minutes in total
Let n =2 and z=4. Evaluate the following (8/n)n -✓z
Jim builds a robot that travels no more than 10 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 27 feet in 3 minutes?
Answer:
no robot can travel 27 feet in 3 minutes
Step-by-step explanation:
PLS HELP WILL AWARD BRAINLIEST!!!!!
Kenneth has $2,000 to invest. He is considering two investment options.
Option A pays 5.6% simple interest.
Option B pays 4.9% interest compounded annually.
Drag dollar amounts to the table to show the value of each investment option after 2 years, 4 years, and 8 years rounded to the nearest dollar.
I just did this question. I got most of it wrong , so here it is.
2 Years option B is NOT 2,111
4 years option A is NOT 2,422
4 Years option B is NOT 2,438
8 years option A IS 2,896
A bookstore buys Algebra 1 books at a wholesale price of $16 each. It then marks up the price by 83%, andsells the Algebra 1 books. What is the amount of the markup? What is the selling price?
To find the markup price you need to multiply the 83% by the cost:
83%=0.83
16*0.83=13.28
and the selling price is the cost plus the markup price so
16+13.28=29.28
So the answer is:
The mark up is $ 13.28 and the final selling price is $ 29.28
g effects on number of parking tickets age gpa number of tickets 18 2 1 18 3 2 18 3 2 21 3 3 21 3 4 22 4 4 23 4 6 23 4 7 25 4 8 step 1 of 2 : find the p-value for the regression equation that fits the given data. round your answer to four decimal places.
Using the given data, we can perform a multiple linear regression analysis with the dependent variable being the number of tickets, and the independent variables being age and GPA.
To find the p-value for the regression equation that fits the given data, you will need to perform a regression analysis using a statistical software or calculator. Once you have done this, you can look at the output to find the p-value. Be sure to specify the appropriate variables and model for the analysis, which in this case would likely be a simple linear regression with number of parking tickets as the dependent variable and age and GPA as the independent variables.
After obtaining the p-value, round it to four decimal places as requested in the question. It's important to pay attention to the number of decimal places when reporting statistical results, as this can affect the interpretation of the findings.
After running the regression analysis, you will obtain a p-value for the overall model. This p-value tests the null hypothesis that all the regression coefficients are equal to zero, which implies that there is no significant relationship between the independent variables (age, GPA) and the dependent variable (number of tickets). To find the p-value for the regression equation, you would typically use a statistical software or tool. Once you obtain the p-value, round it to four decimal places as requested. Please note that without the specific software or calculation process, I am unable to provide the exact p-value for your given data.
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In each of us, two natures are at war - the good and the evil. All our lives the fight goes on between them and one of them must conquer. But in our own hands lies the power to choose- what we want most to be we are
Within each individual, there exists an ongoing battle between good and evil. This internal struggle shapes our lives, and ultimately, the triumph of one nature over the other is determined by our own choices.
The quote acknowledges the duality of human nature, highlighting the eternal conflict between good and evil that exists within each individual. It suggests that throughout our lives, these opposing forces vie for dominance, influencing our thoughts, actions, and decisions.
While the presence of both good and evil within us is inevitable, the quote emphasizes that the outcome of this internal struggle is not predetermined. The power to choose which aspect of our nature prevails lies in our own hands. Our choices shape our character and determine the path we follow. By exercising our agency and making conscious decisions aligned with our value, we have the ability to steer ourselves towards goodness or allow our darker inclinations to take control.
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12. Determine the % compound interest rate of a
discounted loan of $12,000, 72 months, total due $15,350.
The compound interest rate for the discounted loan is approximately 3.5%.
The compound interest rate of a discounted loan, we can use the formula:
Compound interest rate (i) = [(Total due / Principal)^(1/t) - 1] * 100
Principal (P) = $12,000
Total due = $15,350
Time (t) = 72 months
Let's substitute these values into the formula to calculate the compound interest rate (i):
Compound interest rate (i) = [($15,350 / $12,000)^(1/72) - 1] * 100
Using the given values, we can calculate the compound interest rate.
Step 1: Calculate the inside term [(Total due / Principal)^(1/t)]:
[(Total due / Principal)^(1/t)] = [($15,350 / $12,000)^(1/72)]
Step 2: Subtract 1 from the inside term:
[(Total due / Principal)^(1/t)] - 1 = [($15,350 / $12,000)^(1/72) - 1]
Step 3: Multiply the result by 100 to get the percentage:
Compound interest rate (i) = [(Total due / Principal)^(1/t) - 1] * 100
Substituting the values, we have:
Compound interest rate (i) = [($15,350 / $12,000)^(1/72) - 1] * 100
Calculating this expression will give us the compound interest rate.
Using a calculator or spreadsheet software, we find that the compound interest rate is approximately 4.06%.
Therefore, the compound interest rate of the discounted loan is approximately 4.06%.
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what is the value of x
Answer:
Should be 60°
Step-by-step explanation:
Since each interior angle in an octagon is 120°, you would subtract 120° from 180° (which is the angle of a line). This would get you 60 °.
The Girl Scout troop sold 81 boxes of cookies. Each box had 10 cookies. About how many cookies did the Girl
Scout troop sell? Round to the greatest place value.
A. 81 cookies
B. 8,000 cookies
C. 800 cookies
D. 80 cookies