Sum of the ages of A and B is 55 years. If the ratio of their ages is 6:5. find their ages...
please do it soon I really need it
Answers
Step-by-step explanation:
here's your solution
=> sum of ages of both A and B = 55
=> let the ratio be in x
=> now, ratio is 5x and 6x
=> a/q , 6x + 5x = 55
=> 11x = 55
=> x = 55/11
=> x = 5
age of A = 6*5 = 30 years
age of B = 5*5 = 25 years
Related Questions
You're playing the slots and "win" twenty-five bucks! You're stoked.
During the past ten weeks, you've won another fifty bucks.
But you've dropped two bucks in the slot machines every day for ten weeks.
questions to answer:
your total income from gambling:??
your total expenses related to gambling:???
i won:????
i lost:????
Answers
The simple interest for both 48months and 54 months option ,is 13,5%per annum .a deposit of 20% is also required for both option .calculate he balance owed
Answers
Answer:
The amount of deposit required is R37,999 for both
The percentage of purchase price for the required deposit is 20%
Therefore, deposit required=20%*R189,995
=R37,999
The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach
I=PRT
balance after payment of deposit=R189,995-R37,999
=R151,996
R=13.5% per year
T=48 months and 54 months
Interest on 48 month option=151,996*13.5%*48/12
= R82,077.84
Interest on 54 month option=151,996*13.5%*54/12
= R 92,337.57
The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest
Total payment for 48 month option=R151,996+R 92,337.57
=R 244,333.57
Total payment for 54 month option=R151,996+R82,077.84
=R 234,073.84
Hope it helped!
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
When x = 3, both expressions have a value of 30.
When x = 5, both expressions have a value of 42.
When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
When x = 2, both expressions have a value of 15, and when x = 6, both expressions have a value of 39.
Answers
Answer:
When x=1
Step-by-step explanation:
Solving for both equations by putting them both equal to each other.
The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with =σ$5100. Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.What is the probability that a randomly selected teacher's salary is greater than $37,800?=P>X37,800
Answers
ANSWER
0.3228
EXPLANATION
We want to find,
\(P(X>37800)\)But since X is normally distributed, we have to find the z-score for a standard normal distribution,
\(z=\frac{x-\mu}{\sigma}=\frac{37800-35441}{5100}\approx0.46\)So the probability we can find in the standard normal distribution table is,
\(P(Z>0.46)\)In the z-score table, we have to find z = 0.46,
The table shows the probability that z is less than that value. We want to find the probability that z is greater than that value. This is,
\(P(Z>0.46)=1-P(Z<0.46)=1-0.6772=0.3228\)The probability that a teacher's salary is greater than $37,800 is 0.3228.
HELP ME!!
In the figure shown below, ab is a tangent to circle “O” at “a”. Also ab=16, and wb=12. Find the length of the radius.
Answers
It’s not that complicated! If u have any question, fell free to ask! :)
what is the value of w for the equation -3w+27=6
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} -3w+27=6 \\ \text{Put like terms together, we have:} \\ \text{Add 3w to both sides, we have:} \\ -3w+3w+27=6+3w \\ 27=6+3w \\ \text{Subtract 6 from both sides, we have:} \\ 27-6=6-6+3w \\ 21=3w\Rightarrow3w=21 \\ \frac{3w}{3}=\frac{21}{3}\Rightarrow w=7 \\ w=7 \end{gathered}\)evaluate integral from 0^pi | cos s| ds
Answers
Therefore, the integral of |cos(s)| from 0 to π is 2.
To evaluate the integral of |cos(s)| from 0 to π, we first need to split the integral into two parts because the absolute value function affects the cosine function differently in the given interval.
1. Determine the intervals: From 0 to π/2, cos(s) is positive, so |cos(s)| = cos(s). From π/2 to π, cos(s) is negative, so |cos(s)| = -cos(s).
2. Split the integral: ∫₀ᵖᶦ |cos(s)| ds = ∫₀^(π/2) cos(s) ds + ∫(π/2)ᵖᶦ -cos(s) ds.
3. Integrate both parts: ∫₀^(π/2) cos(s) ds = [sin(s)]₀^(π/2), and ∫(π/2)ᵖᶦ -cos(s) ds = [-sin(s)](π/2)ᵖᶦ.
4. Evaluate the results: [sin(s)]₀^(π/2) = sin(π/2) - sin(0) = 1, and [-sin(s)](π/2)ᵖᶦ = -sin(π) + sin(π/2) = 1.
5. Add the two results: 1 + 1 = 2.
Therefore, the integral of |cos(s)| from 0 to π is 2.
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Triangle A”B”C” is formed using the translation (x+2, y+0) and the dilation by a scale factor of 1/2 from the origin. Which equation explains the relationship between line AB and line A”B”?
Point A: (-3,3)
Point B: (1,-3)
Point C: (-3,-3)
Answer options:
A) Line A”B” equals Line AB divided by two
B) Line AB equals Line A”B” divided by two
C) Line AB over Line A”B” equals 1/2
D) Line A”B” over Line AB equals two
Answers
Triangle ABC is dilated by a scale factor of 1/2, the line A”B” equals Line AB divided by two
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Translation is the movement of a point up, down, left or right in the coordinate plane.
Dilation is the increase or decrease in the size of a figure.
Triangle A”B”C” is formed using the translation (x+2, y+0) and the dilation by a scale factor of 1/2 from the origin.
Since there is a dilation by a scale factor of 1/2, hence:
A"B" = AB * 1/2
A"B" = AB/2
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a tank contains 90 liters of fluid in which 50 grams of salt is dissolved. brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 3 l/min; the well-mixed solution is pumped out at the same rate. find the number a(t) of grams of salt in the tank at time t.
Answers
The answer is 50 grams of salt in the tank at all times.
To find the number of grams of salt in the tank at time t, we need to use the formula:
a(t) = a(0) + (r - p) * t
where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.
In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:
a(t) = 50 + 0 * t
a(t) = 50 grams
This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.
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is this a. a function but no one-to-one B. a one-to.one C. not a function
Answers
===================================================
Explanation:
It is a function because it passes the vertical line test. We cannot draw a single vertical line through more than one point on the red curve. Any x input leads to exactly one and only one y output.
A similar test is the horizontal line test. We cannot draw a single horizontal line through more than one point on the red curve, so this red curve passes the horizontal line test. Each y is only paired with one x value only. This helps set up an inverse function.
-----------
In short:
If the curve passes the vertical line test, then we have a function
If the curve passes the horizontal line test, then it is one-to-one.
What is the area of a triangle whose vertices are D(1, 1), E(3, -1), and F(4, 4)?
Enter your answer in the box.
Answers
Answer:
6
Step-by-step explanation:
Trust
PLEASE HELP MEE
Which of the following is an example of the law of syllogism?
A.
If a plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is a graminoid. Therefore, the plant is bamboo.
B.
If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.
C.
If a plant is bamboo, then it is a grass. A plant is a grass. Therefore, the plant is bamboo.
D.
If a plant is bamboo, then it is a grass. A plant is bamboo. Therefore, the plant is a grass.
Answers
9514 1404 393
Answer:
B. If A plant is bamboo, then it is a grass. If a plant is a grass, then it is a graminoid. A plant is bamboo. Therefore, the plant is a graminoid.
Step-by-step explanation:
A syllogism is a sequential implication:
If p then q, and If q then r ⇒ p therefore r.
__
To choose the example, you need to find the elements of each implication and see if they match this pattern.
A: p ⇒ q; q ⇒ r; r ∴ p . . . . not a syllogism
B: p ⇒ q; q ⇒ r; p ∴ r . . . . the syllogism we're looking for
C: p ⇒ q; q ∴ p . . . . not a syllogism
D: p ⇒ q; p ∴ q . . . . not a syllogism
6/8 divide by 8/12
A. 9/2
B. 8/9
C. 9/8
D. 9/32
Answers
Answer:
C. 9/8
Step-by-step explanation:
\( \frac{6}{8} \div \frac{8}{12} \)
Use KCF which means Keep the first fraction, Change the second fraction by flipping it and change the division sign to a multiplication symbol:
\( \frac{6}{8} \times \frac{12}{8} \)
multiply the numerator together:
6 × 12 = 72
multiply the denominator together:
8 × 8 = 64
now the fraction is:
\( \frac{72}{64} \)
simplify further by dividing both numbers by 8:
72 ÷ 8 = 9
64 ÷ 8 = 8
so the fraction is 9/8
(a) You are looking at a car loan to finance your newly bought dream car. The car will cost you $150,000 of which you must pay 40% upfront. The car dealer quotes you an interest rate of 2% per annum for a 5 -year loan, for which monthly payments are based on the following formula:
([( Loan amount x interest rate per annum x Loan tenure (no of years) ]+ loan amount) / Loan tenure (no of months)
Calculate the interest rate you will be paying every month.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer? (ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
Answers
The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.
(a) Calculation of the interest rate you will be paying every month:
Given:
The car will cost = $150,000
Amount to be paid upfront = 40%
Interest rate per annum = 2%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60
Interest Rate = (15000 + 150000) / 60
Interest Rate ≈ $2,583.33
Therefore, the interest rate that you will be paying every month is approximately $2,583.33.
(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?
Given:
Interest rate per annum = 3%
Loan tenure (no of years) = 5 years
Loan tenure (no of months) = 5 x 12 = 60 months
Using the formula to calculate the interest rate you will be paying every month:
Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)
Substituting the given values in the formula:
Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60
Interest Rate = (22500 + 150000) / 60
Interest Rate ≈ $2,916.67
The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.
(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?
Let x be the interest rate that the lender must charge.
Using the formula of compound interest, we can find the interest charged by the lender as follows:
150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)
150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000
(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000
(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667
Taking the natural logarithm on both sides:
60(x/12) = ln[(1.0016667)^(60) + 0.066667]
x ≈ 2.31%
Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.
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The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
Answers
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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Juwad picked 30 bags of apples on Monday and sold them at his fruit stand for
$3.45 each. The following week he picked and sold 26 bags.
How much money did Juwad earn in the first week?
How much money did he earn in the second week? How much did Juwad earn selling bags of apples these two weeks? Each bag Juwad picked holds 15 apples. How many apples did he pick in two
weeks?
Answers
Answer:
89.70 dollars
Step-by-step explanation:
If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:
1. (#sold)* (price)= total amount of money made
2. 26*3.45= 89.70
3. And you can check by dividing 89.70(your answer) by the price of the apples
4. 89.70/3.45= 26
A side of the triangle below has been extended to form an exterior angle of 157º. Find
the value of x.
157°
18
109°
Answers
Answer:
157
hope this right
Help! Please simplify: 0.2(3a−1)+0.3−0.6 Thank you!
Answers
Answer:
0.6a - 0.5
Step-by-step explanation:
We can expand 0.2(3a - 1) and evaluate 0.3-0.6, getting 0.6a - 0.2 - 0.3.
We can then simplify this expression, getting 0.6a - 0.5.
Hope this helps !
Find the values of x and y.
Answers
Hi! Hope this helps, and if it does, please mark brainliest!
Answer:
y = 43 and x = 90
Step-by-step explanation:
We know that a triangle is 180 degrees (each side equals 180 since they are their own triangles) We will focus on the left triangle. Since x is a right angle, it is 90 degrees. Since there is a slash across the two sides of the main triangle, that means both sides are equal. This means that the bottom left angle, the one above b, is equal to 47 degrees. That means we know two angles out of 3. For the sake of simplicity, the bottom left angle, the one above b, is point z. So point z is 47, and x is 90, added they are 137. Subtract that from 180, you will get 43. 43 is y.
Lindsey would like to know the number of people at a movie theater who will buy a movie ticket and popcorn, Based on past data, the probability that a person who is selected at random from those that buy movie tickets will also buy popcorn is 0.6. Lindsey designs a simulation to estimate the probability that exactly two in a group of three people selected randomly at a movie theater will buy both a movie ticket and popcorn. For the simulation, Lindsey uses a number generator that generates random numbers. • Any number from 1 through 6 represents a person who buys a movie ticket and popcorn Any number from 7 through 9 or 0 represents a person who buys only a movie ticket. . For each trial, Lindsey generates three numbers. Lindsey ran 30 trials of the simulation and recorded the results in the following table; 266 342 847 672 567 268 252 465 573 100 818 139 730 910 494 922 155 585 426 593 903 556 981 966 491 186 865 044 147 311L 12 AM PARTA In the simulation, one result was "100. What does this result simulate? a. A No one in a group of three randomly-chosen people who buy movie tickets also buys popcorn. b. Exactly one person in a group of three randomly-chosen people who buy movie tickets also buys popcom. c. Exactly two people in a group of three randomly-chosen people who buy movie tickets also buy popcorn
d. All three people in a group of three randomly-chosen people who buy movie tickets also buy popcorn
Answers
The result "100" in the simulation simulates that exactly one person in a group of three randomly chosen people who buy movie tickets also buys popcorn.
In the simulation, Lindsey generated three random numbers for each trial to represent the behavior of three people at the movie theater. According to the given rules, any number from 1 through 6 represents a person who buys a movie ticket and popcorn, while any number from 7 through 9 or 0 represents a person who buys only a movie ticket.
To estimate the probability that exactly two in a group of three people selected randomly at a movie theater will buy both a movie ticket and popcorn, Lindsey needed to run multiple trials of the simulation. In one of the trials, the result was "100", which means that one of the three randomly-chosen people bought both a movie ticket and popcorn, while the other two only bought a movie ticket.
Therefore, the result "100" in the simulation simulates that exactly one person in a group of three randomly-chosen people who buy movie tickets also buys popcorn.
Based on the simulation results, Lindsey can estimate the probability of exactly two people buying both a movie ticket and popcorn out of a group of three randomly chosen people who buy movie tickets at the theater. By analyzing all 30 trials of the simulation, Lindsey can calculate the relative frequency of this event and use it as an estimate of the probability.
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(WILL GIVE BRAINLYIST IF ANSWER IS RIGHT!)
Choose all the expressions that is equal to 0.25(4y - 36)
1. Y - 9
2. -18/2 - y
3. 0.25y - 36
4. -1/2(-2y + 18)
Answers
Answer:
The answer is 1 and 4
Step-by-step explanation:
.25 x 4y = Y
36 divided by 4 = 9
National Basketball Association (NBA) point guards have an average height of 74.6 inches with a standard deviation of 3.71 in. a. Using the Empirical Rule for samples, 95% of NBA point guards are between and inches tall. b. In order you use the Empirical Rule, we have to assume that a histogram of the NBA point guards' average heights is shaped.
Answers
a. Using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.
b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped).
a. Using the Empirical Rule, we can determine the range within which 95% of NBA point guards' heights would fall. According to the Empirical Rule, for a normally distributed data set:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.
Since the average height of NBA point guards is 74.6 inches with a standard deviation of 3.71 inches, we can use this information to calculate the range:
Mean ± (2 * Standard Deviation)
74.6 ± (2 * 3.71)
The lower bound of the range would be:
74.6 - (2 * 3.71) = 74.6 - 7.42 = 67.18 inches
The upper bound of the range would be:
74.6 + (2 * 3.71) = 74.6 + 7.42 = 82.02 inches
Therefore, using the Empirical Rule, we can say that 95% of NBA point guards are between approximately 67.18 inches and 82.02 inches tall.
b. In order to use the Empirical Rule, we assume that the histogram of NBA point guards' average heights is shaped like a normal distribution (bell-shaped). This means that the data is symmetrically distributed around the mean, with the majority of values clustering near the mean and fewer values appearing further away from the mean.
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HELP PLS TT^TT 20 POINTS
Kevin has prepared the following two-column proof below. He is given that angle OLN = angle LNO and he is trying to prove that OL = ON. Kevin made one error in the proof as indicated by the gold highlighted cell. Rewrite the one cell in the space provided to show the correction. (no need to rewrite the whole proof).
Answers
Answer:
Through ASA axiom.
Step-by-step explanation:
It should be by ASA axiom.
The ASA Theorem says: If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
which of the following is wrong? question 21 options: sampling rate and sound frequency have the same unit, both use hz. sample rate is a setting that can be changed in the digitization process. sound frequency is a setting that can be changed in the digitization process higher sampling rate does not necessary mean higher pitch
Answers
There is nothing inherently wrong with any of the statements in question 21. Sampling rate and sound frequency both use hertz (Hz) as their unit of measurement.
The sample rate is a setting that can be adjusted during the digitization process, as is the sound frequency. It is also true that a higher sampling rate does not necessarily result in a higher pitch.
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Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answers
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
A friend claims that it will rain today with probability 30% and tomorrow with probability four times as great as today. Which of the following is CORRECT?
The claim can be true because it is more likely to rain tomorrow if we have rain today.
The claim cannot be true because raining tomorrow is not guaranteed. The claim can be true because it is possible to have rain tomorrow.
The claim cannot be true because any probability is between 0 and 1.
Answers
Answer:
The claim cannot be true because any probability is between 0 and 1
Step-by-step explanation:
Probability is a concept used to mathematically provide a measure or determine the possibility that an event will occur. However, due to the nature of upcoming events, it is almost impossible to predict some events with absolute certainty, therefore, the chance of an event can be predicted based on the likelihood of the event occurring with probability values ranging from 0 to 1 or 0% to 100%. Where a value of 0 or 0% shows that it is certain that the event will not occur, while 1 or 100% indicates that it absolutely certain that an event will occur.
Automobile manufacturers and dealers use a variety of marketing devices to sell cars. Among these are rebates and low-cost dealer-arranged financing packages. To determine which method of reducing the vehicle's cost is better, you can use the following equation that considers the amount borrowed (D), the interest rate on the loan (APR), the number of payments made each year (Y), the total number of scheduled payments (P), and any finance charged in the transaction (F): Y x (95P 9) xF 12P x (P + 1) x (4D F) APR = You and your friend, Elizabeth, have been shopping for your new car for several weeks. Together, you've visited several dealerships and your combined negotiating efforts have resulted in an agreed-on price of $27,690. In addition, the dealer has offered you either a rebate of $2,000 or an introductory interest rate of 3.5% APR. If you elect to take advantage of the 3.5% low-cost dealer financing, you'll also have to pay $1,038 in finance charges and make monthly payments of $625.21 for four years. Alternatively, you've also been preapproved for a four-year 8.8% loan from your credit union. This loan will require payments of $636.86 per month and a 2% down payment Given this information, what is the adjusted cost of the dealer financing package, rounded to two decimal places? 5.00% 5.75% 4.50% Should you accept the low-cost dealer-arranged financing package or should you accept the rebate and finance your new vehicle using your credit union loan? Select the loan offered by your credit union as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%) select the loan offered by the dealer as it has a lower adjusted cost (5.00%) than the loan offered by your credit union (8.8%).
Answers
The adjusted cost of the dealer financing package is 5.00%. Therefore, you should accept the rebate and finance your new vehicle using your credit union loan as its cost (8.8%) is less than the adjusted cost of the dealer-arranged financing (5.00%).
To compare the dealer financing package with the credit union loan, you need to determine the adjusted cost of the dealer financing package using the given equation.
Using the given information: D = $27,690, APR = 3.5%, Y = 12 (monthly payments), P = 48 (4 years of payments), and F = $1,038.
Plugging the values into the equation:
APR = (12 * ((95 * 48) + 9) * 1038) / (12 * 48 * (48 + 1) * (4 * 27690 - 1038))
APR = (12 * (4560 + 9) * 1038) / (12 * 48 * 49 * (110760 - 1038))
APR = (12 * 4569 * 1038) / (12 * 48 * 49 * 109722)
APR = 56830384 / 257289792
APR ≈ 0.2208
To convert this to percentage, multiply by 100: 0.2208 * 100 ≈ 22.08%
Since the adjusted cost of the dealer-arranged financing package (22.08%) is higher than the credit union loan's cost (8.8%), you should accept the rebate and finance your new vehicle using your credit union loan.
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Solve for x and y: (4 points) Y:____ X:____ (5y-4)degrees 3y(degrees) (2x+13)(degrees)
Answers
Answer:
Y: 23
X: 28
Step-by-step explanation:
Where the transversal crosses parallel lines, the acute angles are congruent, and supplementary to the obtuse angles.
(5y -4) +(3y) = 180 . . . . obtuse and acute angles are supplementary
8y = 184 . . . . . . . . . . simplify
y = 23 . . . . . . . . . .divide by 8
__
3y = 2x +13 . . . . acute angles are congruent
3(23) -13 = 2x . . . . substitute for y, subtract 13
56/2 = x = 28 . . . . divide by 2
aerobic dancing study: a researcher wants to know which exercise program is more effective in reducing body mass index (bmi) in 60 to 70 year-old individuals with diabetes: 1) a 20 minute aerobic dancing program or 2) a 20 minute walking program. the participants in the research project will be 60 volunteers living in a large gated retirement community. participants will be randomly assigned to either the aerobic dancing group or the walking group. participants will exercise for 20 minutes a day three days a week for six months. participants will have height and weight measurements taken (in order to calculate bmi) before and after this six-month program. changes in bmi between the two groups will be compared. in the aerobic dancing study, which is the dependent variable?
Answers
As per the BMI, the dependent variable is outcome
In this study, the researcher wants to compare the effectiveness of two different exercise programs in reducing BMI in individuals with diabetes. The participants will be randomly assigned to either the aerobic dancing group or the walking group, and their BMI will be measured before and after the six-month exercise program.
The changes in BMI between the two groups will be compared to determine which exercise program is more effective in reducing BMI in this population. The dependent variable in this study is the change in BMI, as it is the outcome that is being measured and compared between the two groups.
Overall, this study will provide valuable insights into the effectiveness of different exercise programs in reducing BMI in older adults with diabetes, which can have important implications for their overall health and wellbeing.
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Reaching out 2 standard errors on either side of the sample proportion makes us about _________ confident that the true proportion is capable within the interval
a. 90%
b. 99%
c. 95%
d. 68%
Answers
The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.
This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.
We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.
This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.
We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.
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