Answers
Related Questions
is How many oranges did
Sally eat last month? a statistical question
Answers
Answer:
25
Step-by-step explanation:
Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.
one hundred students at century high school participated in the ahsme last year, and their mean score was 100. the number of non-seniors taking the ahsme was 50\p% more than the number of seniors, and the mean score of the seniors was 50\p% higher than that of the non-seniors. what was the mean score of the seniors?
Answers
The number of seniors is 80, we can substitute this value back into the equation for the mean score of the seniors. The mean score of the seniors is 1.5 * 80 = 120
To find the mean score of the seniors, we can follow these steps:
Let's assume the number of seniors participating in the AHSME is 'x'. Since the number of non-seniors taking the AHSME was 50% more than the number of seniors, we can express the number of non-seniors as 'x + (50% of x)'.
Simplifying this, the number of non-seniors is 'x + 0.5x' which is equal to '1.5x'.
The mean score of the seniors is 50% higher than that of the non-seniors. This means the mean score of the non-seniors is 'x' and the mean score of the seniors is 'x + (50% of x)'.
Simplifying this, the mean score of the seniors is 'x + 0.5x' which is equal to '1.5x'.
Given that the mean score of the 100 students who participated in the AHSME was 100, we can set up the equation:
(x + 1.5x) / 2 = 100
Simplifying, we get 2.5x / 2 = 100
Cross-multiplying, we have 2.5x = 200
Dividing both sides of the equation by 2.5, we get x = 80.
Now that we know x = 80, we can substitute it back into the equation for the mean score of the seniors:
1.5x = 1.5 * 80 = 120
Now that we know the number of seniors is 80, we can substitute this value back into the equation for the mean score of the seniors. The mean score of the seniors is 1.5 * 80 = 120.
The mean score of the seniors is 120.
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What is the scale factor of a drawing if the scale is 1 inch equals 4 feet
Answers
Answer:
the scale factor of a drawing=1:4
Which side lengths form a right triangle? Choose all answers that apply: 4, V8,24 5,5,5 4, 7.5, 8.5 Stuck? Watch a video or use a hint.
Answers
According to the Pythagorean Theorem, for a Right triangle:
\(a^2=b^2+c^2\)Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.
Let's check the side lengths given in each option:
A) The hypotenuse would be:
\(a=24\)So, if you apply the Pythagorean Theorem, you get:
\(\begin{gathered} 24^2=4^2+(\sqrt[]{8})^2 \\ 576\ne34 \end{gathered}\)These side lenghts do not form a Right triangle.
B) Since all the sides of this triangle have equal length, it is not a Right triangle, but an Equilateral triangle.
C) The hypotenuse of this triangle would be:
\(a=8.5\)Then, applying the Pythagorean Theorem, you get:
\(\begin{gathered} (8.5)^2=(4)^2+(7.5)^2 \\ 72.25=72.25 \end{gathered}\)These side lenghts form a Right triangle.
The answer is: Option C
Question 1
a. Determine if the following series diverges or converges using
a convergence test. ∑_(n=1)^[infinity]▒(5^n/n^2 )
b. Is the following series absolutely convergent? Give reasons
for your answe
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a. The series ∑[_(n=1)^[infinity]](5^n/n^2 ) diverges according to the Ratio Test. b. The series is not absolutely convergent since the original series diverges. This is the same as the original series, as the terms are already positive. Since we've already determined that the original series diverges, this series is not absolutely convergent.
a. To determine whether the series ∑[_(n=1)^[infinity]](5^n/n^2) converges or diverges, we can use the ratio test.
The ratio test states that for a series ∑a_n, if lim_(n→∞) |a_(n+1)/a_n| < 1, then the series converges absolutely. If lim_(n→∞) |a_(n+1)/a_n| > 1, then the series diverges. If lim_(n→∞) |a_(n+1)/a_n| = 1, then the test is inconclusive.
Using the ratio test, we have:
lim_(n→∞) |(5^(n+1)/(n+1)^2)/(5^n/n^2)| = lim_(n→∞) |5(n/n+1)^2| = 5
Since 5 > 1, the series diverges.
b. To determine whether the series ∑[_(n=1)^[infinity]]|5^n/n^2| converges absolutely, we can again use the ratio test.
Using the ratio test, we have:
lim_(n→∞) |(5^(n+1)/(n+1)^2)/(5^n/n^2)| = lim_(n→∞) |5(n/n+1)^2| = 5
Since the ratio test evaluates to the same value as in part a, we know that the series still diverges. Therefore, we do not need to check for absolute convergence.
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PLEASEE HELPPPP
(Solving Two-Step Equations MC)
Solve the equation for x.
−0.18x − 13.7 = 2.41
1: x = −89.5
2: x = −62.7
3: x = 62.7
4: x = 89.5
Answers
The equation is solved as x = −89.5. The correct option is 1.
What is a mathematical equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
To solve the equation −0.18x − 13.7 = 2.41 for x, we need to isolate x on one side of the equation by adding 13.7 to both sides and then dividing by −0.18:
−0.18x − 13.7 = 2.41
−0.18x = 2.41 + 13.7
−0.18x = 16.11
x = 16.11 / (−0.18)
x = −89.5
Therefore, the solution to the equation is x = −89.5. the correct option is 1.
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A car travels at 20 meters per second.
What is its rate in kilometers per hour?
72 kilometers per hour
1.2 kilometers per hour
56 kilometers per hour
5.6 kilometers per hour
Answers
Answer:
the is 72 kilometers per hour
Consider a two-period binomial model with risk-neutral prob- ability distribution p=0.6, q=0.4. Let V2 be the payoff for a derivative with: Va(ww.) = { s 1 if w1 = H, W2 = H or w1 = T, W2 =T 0 otherwise Find the price of this derivative.
Answers
To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.
The possible outcomes for the two-period binomial model are H and T, there are four possible states of the world: HH, HT, TH, and TT.
To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.
Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.
We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.
The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.
Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is
HH: 0.36/(1+1) = 0.18
HT/TH: 0.48/(1+1) = 0.24
TT: 0.16/(1+1) = 0.08
Finally, we can calculate the price of the derivative
Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26
Therefore, the price of the derivative is 0.26.
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1 2/3 yards of chain cost 9.00.
How much money for 1 yard
Answers
Alright nevermind, imma delete this answer.
Answer: $5.40
Step-by-step explanation:
1 and 2/3 yards costs $9
5/3 yards costs $9 <--- changes 1 and 2/3 to improper
5 * 1/3 yards costs $9 <---- 5/3 = 5 * 1/3
1/3 yard costs $9/5 = $1.80 <--- divides the ratio by 5
1 yard costs $1.80 * 3 = $5.40
Produce Stand
Carmen owns a produce stand. She sells fruits and vegetables grown by local
farmers. The list shows the prices of the produce Carmen has available this week.
Price List
Apricots
$1.65/pound
Cucumbers
$0.25/pound
Blueberries
$1.99/pint
Green Beans
$1.80/pound
Cantaloupes
$2.99 each
Yellow Squash
$1.85/pound
Strawberries
$3.75/quart
Zucchini
$1.95/pound
1. Yung is a pastry chef. He needs 18 pounds of apricots and 13 quarts of
strawberries for desserts he is making today.
Part A
Write an expression for the amount Yung will spend.
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18 * 1.65 + 13 * 3.75
brainliest, multiple choice, and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!
Answers
Answer:
Triangle congruence cannot be determined with the given information.
Ted says that one possibility for the unknown side length is 40. Do u agree with Ted? Why or why not?
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No, we do not agree with Ted when he says that the possibility for the unknown side length is 40 as it would be: 15 + 27 = 42.
According to the law of the sides of a triangle, the lengths of any two of the triangle's sides added together are always more than the length of the third side. The triangle inequality theorem is another name for this condition. This indicates that a triangle with two sides equal to 15 and 27 would be having a third side more than 42 units.
The three vertices of a triangle connect the straight lines that make up its sides. In other words, we can say that the sides of a triangle are line segments that converge at the vertices of the triangle. A right-angled triangle's sides can be found using a variety of methods, including the Pythagoras theorem and the triangle's perimeter.
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Complete question is:
A triangle has sides of 15 and 27. The measurement of the longest side is missing.
Ted says that one possibility for the unknown side length is 40. Do you agree with Ted? Why or why not?
find the value of X to the nearest tenth.
Answers
Answer:
i don't know ok thank you bye
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
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The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Remember that Molly has a $2500 down payment saved for this purchase. The dealer will take the $500 Cash Allowance straight off her total. How much loan does Molly need?
Using the Loan Calculator and the 1.9% APR offer, how much will Molly’s monthly payment be?
How much total interest will Molly pay using this plan?
When Molly adds all of her payments, how much will the car cost her using this plan?
Answers
To determine the loan amount Molly needs, subtract the down payment and cash allowance from the total cost of the car.
Loan amount = Total cost - Down payment - Cash allowance
To calculate Molly's monthly payment, use the Loan Calculator with the loan amount, loan term in months, and the APR of 1.9%.
To find the total interest paid, subtract the loan amount from the product of the monthly payment and the loan term.
To calculate the total cost of the car, add the down payment, cash allowance, loan amount, and total interest paid.
To calculate the loan amount Molly needs, we subtract the down payment and cash allowance from the total cost of the car. Let's assume the total cost is $X.
Loan amount = Total cost - Down payment - Cash allowance = X - $2500 - $500 = X - $3000.
To calculate Molly's monthly payment using the Loan Calculator and the 1.9% APR offer, we need to know the loan amount, the loan term in months, and the APR. Let's assume the loan term is Y months.
Using the Loan Calculator, we can determine the monthly payment based on the loan amount, loan term, and APR.
To calculate the total interest Molly will pay using this plan, we can multiply the monthly payment by the loan term in months and subtract the loan amount. This will give us the total interest paid.
Total interest = (Monthly payment * Loan term) - Loan amount.
To calculate the total cost of the car for Molly using this plan, we add the down payment, cash allowance, and the total interest paid to the loan amount.
Total cost = Loan amount + Down payment + Cash allowance + Total interest.
Please provide the values of X and Y to calculate the specific amounts.
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help me i need explanation on how thanks!
Answers
Answer:
Answer:B AND E ARE CORRECT
Answer:B AND E ARE CORRECTStep-by-step explanation:
WE'RE SIMPLY COMPARING TWO SIMILAR SIDES OF THE FIQURES. NOTE: the pattern must be the same I mean if we start with the larger figure being on top then that is how the rest comparisons should follow. I hope this will help!
Hannah weighed 7.2 pounds at birth. Her weight was recorded at each of her infant doctor visits. The records from her appointments from birth to six months are shown in the table below. 1. Find the line of best fit: 2. Estimate Hannah's weight at her one-year visit:
Answers
Answer:
She a THICCCCCCCCCCCCCCCCCCCCCCC Gurl
Step-by-step explanation:
LOLLLL
If f(x) = -5x+3 when x=-2 what’s f(x)?
Answers
If we want to find the value of f(x) at x = -2, we simply put "-2" into the given function. Shown below:
\(undefined\)PLEASE HELP IF YOU KNOW AP STATS OR HAVE TAKEN THIS QUIZ!! THANK U
The data set for the average height of men at a ballgame compared to their shoe size is represented by the table.
Table with two columns titled men's shoe size (U. S. ) and height (inches). Data values 7 and 64, 10 and 69, 12 and 72, 8 and 67, 9. 5 and 69, 10 and 70, 11. 5 and 75, 12. 5 and 73, 13. 5 and 71, 10 and 68.
Part A: What is the equation of the least-squares regression line? (3 points)
Part B: Carlos wears a size 9 and is 71 inches tall. What is the residual for Carlos's data? Show your work. (4 points)
Part C: Interpret the meaning of the residual from part B. (3 points)
Answers
An equation for the line of best fit for a men's height, y, based on her shoe size, x is; y = 0.25x + 66.6
What is a line of best fit?A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the men's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis.
By critically observing the scatter plot (see attachment) which models the data, we can reasonably deduce that an equation for the line of best fit is given by:
y = 0.25x + 66.6
Interpret the meaning of the residual from part B is given below.
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Amy mixed together 2.4 gal. of Brand A fruit drink and 5.6 gal. of apple juice. Find the percent of fruit juice in Brand A if the mixture contained 82% fruit juice.
A) 70% B) 20%
C) 35% D) 40%
Answers
Answer:
D
Step-by-step explanation:
The fruit punch has 2.4 gallons but x %
Apple juice has 5.6 gallons but 100 % or 1
The total mixture would then have 8 gallons and 82 %.
2.4+5.6=8
8×0.82 = 6.56
Then you would do 2.4x + 5.6(1) = 6.56
2.4x + 5.6 = 6.56
2.4x = 0.96
0.96/2.4 = 0.4 = 40%
Therefore, Brand A has 40% fruit juice
R=3D+3A. Solve for “a.”
Answers
Step-by-step explanation:
I will assume you you meant solve for A
so from that assumption we simply make A the subject of formula
3A=R-3D
A=(R-3D)/3
What is 6 2/3 divided 1/5
Answers
Hello!
Let's solve:
\(\text{Write down the equation}\\\dfrac{6\dfrac{2}{3} }{\dfrac{1}{5} } \\\\\\\text{Convert the nominator, a mixed partial fraction to an improper fraction}\\\dfrac{\dfrac{20}{3} }{\dfrac{1}{5} } \\\\\\\text{When dividing by a fraction, flip the fraction over and multiply its reciprocal}\\\dfrac{20}{3} *\dfrac{5}{1} = \dfrac{100}{3} \\\\\\\text{Convert the improper fraction back mixed partial fraction}\\\dfrac{100}{3} =33\dfrac{1}{3}\)
Answer: \(\dfrac{100}{3} \text{ or }33\dfrac{1}{3}\)
Hope that helps!
Determine the point P that
partitions the line segment AB
into the ratio 1:3 when A(2, 4)
and B(10, 8).
Answers
Answer:
\(\left(\dfrac{14}{3}\;, \;\dfrac{16}{3}\right)\)
Step-by-step explanation:
We have two points A(2, 4) and B(10, 9)
P divides the segment AB, it is located 1/3 of the distance from A to B
Lets use the following notation
\(\textsf {x_{AB}$= x-distance from A to B}\)
This is the absolute difference between the x-coordinates of A and B
\(\textsf {y_{AB}$= y-distance from A to B}\)
This is the absolute difference between the y-coordinates of A and B
\(\textsf {x_{AP}$= x-distance from A to P}\)
This is the absolute difference between the x-coordinates of A and P
\(\textsf {y_{AP}$= y-distance from A to P}\)
This is the absolute difference between the y-coordinates of A and P
To find the coordinates of P:
Find the x-distance between A and B:\(\sf {x_{AB} } = 10 - 2\\\sf {x_{AB} } = 8\\\\\)
Find the y-distance between A and B:
\(\sf {y_{AB} } = 8 - 4\\\sf {y_{AB} } = 4\\\\\)
x-distance from A to P
\(\sf{x_{AP}=\dfrac{1}{3}x_{AB}}\\\\\sf{x_{AP}= \dfrac{1}{3} \cdot 8}\\\\\sf{x_{AP}= \dfrac{8}{3}\)
y-distance from A to P is
\(\sf{y_{AP}=\dfrac{1}{3}y_{AB}}\\\\\sf{y_{AP}= \dfrac{1}{3} \cdot 4}\\\\\sf{y_{AP}= \dfrac{4}{3}\)
These values are relative to point A
Absolute x-value of P = x-value of A + \(\sf{x_{AP}}\)
\(= 2 + \dfrac{8}{3}\\\\= \dfrac{14}{3}\\\)Absolute y-value of P = y-value of A + \(\sf{y_{AP}}\)
\(= 4 + \dfrac{4}{3}\\\\= \dfrac{16}{3}\\\)
Answer: The coordinates of point P are:
\(\left(\dfrac{14}{3}\;, \;\dfrac{16}{3}\right)\)
If you actually calculate the distances AB and AP using the distance formula: \(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)
you will find
AB has length 8.944272 and AP has length 2.9829
2.9829/8.944272 ≅ 0.333 which is 1/3
how do you find y=-4x+3 on a table
Answers
Will anyone help me with this!
Answers
The simplified expression after the subtraction is given as follows:
-20.2m - 11.8.
How to simplify the expression?The subtraction expression for this problem is defined as follows:
(2y + 14.6m + 3.8) - (34.8m + 15.6 + 2y).
The negative sign means that the sign of each term on the parenthesis preceded by the negative sign is exchanged, hence:
2y + 14.6m + 3.8 - 34.8m - 15.6 - 2y.
When you combine like terms, you are simplifying an expression by grouping together terms that have the same variables and exponents.
The like terms are given as follows:
2y - 2y = 0.14.6m - 34.8m = -20.2m.3.8 - 15.6 = -11.8.Hence the simplified expression is:
-20.2m - 11.8.
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Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?
Answers
9514 1404 393
Answer:
9.23%
Step-by-step explanation:
The account balance for simple interest is given by ...
A = P(1 +rt) . . . . . principal P invested for t years at rate r
554 = 379(1 +r·5)
554 = 379 + 1895r . . . . eliminate parentheses
175 = 1895r . . . . . . . . . subtract 379
r = 175/1895 ≈ 0.092348 ≈ 9.23%
Jennifer's account had an interest rate of about 9.23%.
Expand using the distributive property 10(-4x + 2)
Answers
Answer:
-40x+20
Step-by-step explanation:
10 times -4x=-40x
10x2=20
Answer:
-40x+20
10*-4x+10*2
The population of Cypress Lake is 7.2 x 10 residents. A survey determines that the average resident uses 2,900 gallons of water each year. Which expression represents the estimated total water usage by all Cypress Lake residents in one year? A B C D 2.088 x 10¹ gallons 2.088 x 105 gallons 2.088 x 108 gallons 2.088 x 10 gallons
Answers
Answer:
2.088 x 10^5
Step-by-step explanation:
7.2 x 10 x 2.9 x 10^3 = 20.88 x 10^4
= 2.088 x 10^5
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
Answers
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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