Answer:
37
Step-by-step explanation:
The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.
Let's look at the lowest common multiples of 2, 3, 4, 6:
Prime factorisation:
2 = 2
3 = 3
4 = 2 * 2
6 = 2 * 3
therefore, the lowest common multiple is 2 * 2 * 3 = 12
Let's look at the answers that this would give us (ie multiples of 12):
12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5
12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either
12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)
therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)
Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
6(8^2)* 45-98+456=
Answers:
17890
17182
17638
18400
Answer:
17638 its the correct one
What is the slope of the line represented by the equation y = 4/5x - 3?
-3
-4/5
4/5
3
Answer:
4/5 is the slope of the line represented by the equation y = 4/5x - 3
4. Over the span of a month, a school tracks student choices at lunch. They 1 point
find that 56% of all students buy milk with lunch and 32% buy a piece of
fruit. If 22% of all students buy both milk and fruit, which of the following
represents the percent of students who buy neither?
A. 0.28
B. 0.34
C. 0.42
D. 0.46
Answer:
b
Step-by-step explanation:
56 +32 =88
88 - 22 = 66 remove this who did both as to not double count
100-66=34 bought neither
If you loan $500 to a friend for 6 months and charge $50 total
in interest, what is the annual simple interest rate?
Step-by-step explanation:
S=(P×R×T)÷100
R=(100×S)÷P×T, given that S= simple interest, P=principal amount,T=time and R=rate.
R=(100×50)÷500×6
R=1.67
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test.
A. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.
Answer:
The correct option is (B).
Step-by-step explanation:
A type-I-error occurs when we discard a true null-hypothesis (H₀).
The hypothesis in this case are:
H₀: The proportion of Americans that have seen a UFO is 0.002, i.e. p = 0.002.
Hₐ: The proportion of Americans that have seen a UFO is less than 0.002, i.e. p < 0.002.
A type I error will be committed, if we reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
The correct option is (B).
Mary Jo takes her son to get a haircut at the barbershop. The total cost of the haircut is $12.60, including a 20% tip. How much was the haircut before the tip?
Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50
How to find the cost of the haircut?The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.
To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:
Total cost including tip = x × (1 + tip percentage)
Solving for the haircut cost before the tip gives:
12.60 = x ( 1 + 20%)
12.60 = 1.20x
x = 12.60 / 1.20
x = $10.50
Find out more on the cost before tip at https://brainly.com/question/7171223
#SPJ1
Convergent or divergent?
Answer:
Convergent
Step-by-step explanation:
This is an alternating series where bn = 2n / eⁿ. Apply the alternating series test:
lim(n→∞) bn
= lim(n→∞) (2n / eⁿ)
Use L'hopital's rule:
= lim(n→∞) (2 / eⁿ)
= 0
For n ≥ 1, the series is decreasing. 2(n+1) / eⁿ⁺¹ < 2n / eⁿ.
Therefore, the series converges.
Of the entering class at a college, % attended public high school, % attended private high school, and % were home schooled. Of those who attended public high school, % made the Dean's list, % of those who attended private high school made the Dean's list, and % of those who were home schooled made the Dean's list. A student is randomly chosen. a) Find the probability that the student made the Dean's list. b) Find the probability that the student , given that the student made the Dean's list. c) Find the probability that the student , given that the student did not make the Dean's list.
Answer:
(a) The probability that the student made the Dean's list is 0.1655.
(b) The probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.
(c) The probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.
Step-by-step explanation:
The complete question is:
Of the entering class at a college, 71% attended public high school, 21% attended private high school, and 8% were home schooled. Of those who attended public high school, 16% made the Dean's list, 19% of those who attended private high school made the Dean's list, and 15% of those who were home schooled made the Dean's list.
a) Find the probability that the student made the Dean's list.
b) Find the probability that the student came from a private high school, given that the student made the Dean's list.
c) Find the probability that the student was not home schooled, given that the student did not make the Dean's list.
Solution:
Denote the events as follows:
A = a student attended public high school
B = a student attended private high school
C = a student was home schooled
D = a student made the Dean's list
The provided information is as follows:
P (A) = 0.71
P (B) = 0.21
P (C) = 0.08
P (D|A) = 0.16
P (D|B) = 0.19
P (D|C) = 0.15
(a)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} P(X|Y_{i})\cdot P(Y_{i})[/tex]
Compute the probability that the student made the Dean's list as follows:
[tex]P(D)=P(D|A)P(A)+P(D|B)P(B)+P(D|C)P(C)[/tex]
[tex]=(0.16\times 0.71)+(0.19\times 0.21)+(0.15\times 0.08)\\=0.1136+0.0399+0.012\\=0.1655[/tex]
Thus, the probability that the student made the Dean's list is 0.1655.
(b)
Compute the probability that the student came from a private high school, given that the student made the Dean's list as follows:
[tex]P(B|D)=\frac{P(D|B)P(B)}{P(D)}[/tex]
[tex]=\frac{0.21\times 0.19}{0.1655}\\\\=0.2410876\\\\\approx 0.2411[/tex]
Thus, the probability that the student came from a private high school, given that the student made the Dean's list is 0.2411.
(c)
Compute the probability that the student was not home schooled, given that the student did not make the Dean's list as follows:
[tex]P(C^{c}|D^{c})=1-P(C|D^{c})[/tex]
[tex]=1-\frac{P(D^{c}|C)P(C)}{P(D^{c})}\\\\=1-\frac{(1-P(D|C))\times P(C)}{1-P(D)}\\\\=1-\frac{(1-0.15)\times 0.08}{(1-0.1655)}\\\\=1-0.0815\\\\=0.9185[/tex]
Thus, the probability that the student was not home schooled, given that the student did not make the Dean's list is 0.9185.
can someone please rewrite this so I won't get marked for plagiarism?
The question is
"Why would it be beneficial to pay a little more than the required mortgage payment?"
The answer is:
Paying extra on your mortgage means that you make additional payments to your principal loan balance beyond your regular payments. For example, if you pay $1,300 per month normally, you may pay an extra $200 to the principal for a total payment of $1,500. Or if you get a bit of money, say a $5,000 tax refund, you could apply it to your principal loan balance. The faster you pay off your mortgage, the less you will pay in interest, reducing your overall loan cost. However, this option should be considered in the context of your larger financial situation.How much will you save by making extra payments?The amount you can save by making extra mortgage payments is one of the first things you need to figure out as that number will enable you to compare it to other options. Let’s take a look at how much you could save on interest over the life of a 30-year, $200,000 loan with a 3.5% interest rate if you paid $50, $100 and $250 extra each month. Just paying an extra $50 per month will shave 2 years and 7 months off the loan and will save you over $12,000 in the long run. If you can up your payments by $250, the savings increase to over $40,000 while the loan term gets cut down by almost a third.The savings can be substantial. Use a mortgage calculator to figure out your estimated savings. Then, compare that to the savings or returns you can get by investing the same money elsewhere.Ways to prepay your mortgagePay more every monthThe first option is to analyze your budget and see if you can afford to increase the amount you pay on your mortgage each month. Even if you can only commit to $25 or $50, it can save you thousands over the course of the loan.Make an extra payment each year Another option is to make one extra payment each year that is equal to your normal payment amount. This can be a good option if you get a bonus or tax refund each year.Make a lump-sum paymentSometimes situations come about which leave people with a lump sum of money, like receiving an inheritance. While exciting, it can also be stressful because you want to use the money wisely. Using lump sums to pay down your mortgage helps to reduce your interest and increase equity faster, which is a helpful investment. It can also ensure that the money is invested rather than spent.Mix it up You can also use a combination of these approaches, such as paying a little bit more each month and then making a larger one-time payment when you can.
The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.
If you have an employer offer to match your retirement savings up to a certain percentage, max out the company contributions. The earlier you invest in retirement, the better.
Answer:
Paying extra on your mortgage means that you make additional payments to your principal loan balance beyond your regular payments. For example, if you pay $1,300 per month normally, you may pay an extra $200 to the principal for a total payment of $1,500. Or if you get a bit of money, say a $5,000 tax refund, you could apply it to your principal loan balance. The faster you pay off your mortgage, the less you will pay in interest, reducing your overall loan cost. However, this option should be considered in the context of your larger financial situation.How much will you save by making extra payments?The amount you can save by making extra mortgage payments is one of the first things you need to figure out as that number will enable you to compare it to other options. Let’s take a look at how much you could save on interest over the life of a 30-year, $200,000 loan with a 3.5% interest rate if you paid $50, $100 and $250 extra each month. Just paying an extra $50 per month will shave 2 years and 7 months off the loan and will save you over $12,000 in the long run. If you can up your payments by $250, the savings increase to over $40,000 while the loan term gets cut down by almost a third.The savings can be substantial. Use a mortgage calculator to figure out your estimated savings. Then, compare that to the savings or returns you can get by investing the same money elsewhere.Ways to prepay your mortgagePay more every monthThe first option is to analyze your budget and see if you can afford to increase the amount you pay on your mortgage each month. Even if you can only commit to $25 or $50, it can save you thousands over the course of the loan.Make an extra payment each year Another option is to make one extra payment each year that is equal to your normal payment amount. This can be a good option if you get a bonus or tax refund each year.Make a lump-sum paymentSometimes situations come about which leave people with a lump sum of money, like receiving an inheritance. While exciting, it can also be stressful because you want to use the money wisely. Using lump sums to pay down your mortgage helps to reduce your interest and increase equity faster, which is a helpful investment. It can also ensure that the money is invested rather than spent.Mix it up You can also use a combination of these approaches, such as paying a little bit more each month and then making a larger one-time payment when you can.
The right payment strategy for you will depend on your financial situation. For example, if your budget is tight and you can’t commit to paying more every month but have certain months when your income is higher, you can commit to making an extra payment during those months. Alternatively, if you don’t receive any income boosts throughout the year but have a little bit of disposable income each month, the monthly payment option will be a better fit.When not to pay extraPaying extra on your mortgage can be helpful but it isn’t always the best use of your money.“Whether you should pay extra on your mortgage or not depends on the rest of your financial picture. If you have credit card debt, an expensive car loan, or other high-interest debt, you’ll want to pay that down before making extra payments on your mortgage,” Matthew McEwan, VP of real estate development and property management firm Medallion Capital Group, said.“Additionally, if you are a savvy investor who can tolerate some risk, you may be able to achieve a higher rate of return by investing that money instead,” McEwan said.What to do before paying off your loan earlyBefore you pay off your mortgage early, there are a few things you should do. For one thing, you’ll want to meet all of your regular necessary expenses (rent, food, clothing, etc.). Next, ensure you pay off any debts you have with interest rates that are higher than the interest rate on your mortgage. For example, if you have a $5,000 balance on a credit card with an 18% APR and your mortgage has a 4% APR, you’ll save more by paying down the credit card first.It’s also recommended to make sure that you have an emergency savings account that is equal to at least three months of pay, and preferably six. Moreover, confirm that you and your dependents are enrolled in the insurance policies you need to protect yourselves in the future. This often includes health, property, auto, disability and life policies.
If you have an employer offer to match your retirement savings up to a certain percentage, max out the company contributions. The earlier you invest in retirement, the better.
Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?
Answer: ion evn kno cuh
Step-by-step explanation:
Answer:
This is arithmetic sequence and the common difference is equal to -4.
Step-by-step explanation:
If yuh just want the answer here, not explained
WILL GIVE BRAINLIEST!! Which graph shows a slope of 2 and a y-intercept of -2?
Answer:
The second graph (where the line goes through the points -2 and 1)
Step-by-step explanation:
A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.
Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answer:
3.33 Yards
Step-by-step explanation:
divide 10 by 3
Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.
Answer:
x/9-8x+5x
Step-by-step explanation:
I can't help but to solve it:
x/9=9x
9x-8x+5x=6x
= 6x
If you need to divide 2/3 by 4/5 , why is it easier to use an equation than to use a model
What is the square root of -1
Answer:
The square root of ( -1 ) is i
Answer:
the square root of -1 is i
Have a nice day! :D
Step-by-step explanation:
PLZZZZ ANSWER QUICKKKKKK BY MIDNIGHTTTT
Which ordered pair is a solution of 3x - 4y < 1
A, B, C, or D?
Tyler then takes his remaining paper and does it again. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have now?
Answer:
Each person has 1/4 of a peice of paper
Step-by-step explanation: Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper
6(1-4w)=-18
do the distributive property
Answer:
w=1
Step-by-step explanation:
6(1-4w)=-18
(6*1)-(6*4w)=-18
6-24w=-18
-24w=-24
w=1
Will u mark me brainliest plz!!!!???!!!
w=1
Step-by-step explanation:
B.6-(5x-9)2 for x=1
Answer:
14
Step-by-step explanation:
Step 1:
6 - ( 5x - 9 ) 2 Equation
Step 2:
6 - ( 5 ( 1 ) - 9 ) 2 Input x
Step 3:
6 - ( 5 - 9 ) 2 Multiply
Step 4:
6 - ( - 4 ) 2 Subtract
Step 5:
6 - ( - 8 ) Multiply
Answer:
14 Add
Hope This Helps :)
Answer:
14
Step-by-step explanation:
1) 6-(5[1]-9)2
2) 6-(5-9)2
3) 6-(10-18)
4) 6-(-8)
5) 14
What is -11+blank equals 15
Answer:
26
Step-by-step explanation:
Fifteen minues negative eleven equals to twenty six. Hope this helps and good luck with your assignment.
15-(-11)=26
The value of x is 26 .
Given,
-11+blank equals 15 .
Now,
Let the number in the blank be x .
So, rewriting the equation with x,
-11 + x = 15
Now combine the like terms,
x = 11 + 15
x = 26
Thus the blank is equal to 26 .
Know more about equations,
https://brainly.com/question/17181370
#SPJ6
an interger that is less than -2 and greater than -3.5
Answer:
Literslly anything less then -2 and greater then -3.5
Step-by-step explanation:
-2.1
-2.2
-2.3
-2.4
-2.5
-2.6
-2.7
-2.8
-2.9
-3.0
-3.1
-3.2
-3.3
-3.4
Help please I’m stuck on a few of these
Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure. What is the sample size for this poll? Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.) Discuss the poll in terms of the population and sample framework that we have studied in this chapter. This random sample of responses collects the opinions of a random group of users across all users of the Internet. This voluntary response sample collects only the opinions of those that visit this site every day. This random sample of responses collects the opinions of a random group of users of the particular site. This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Complete Question
An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.
a)
What is the sample size for this poll?
b)
Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)
c)
Discuss the poll in terms of the population and sample framework that we have studied in this chapter.
i)
This random sample of responses collects the opinions of a random group of users across all users of the Internet.
ii)
This voluntary response sample collects only the opinions of those that visit this site every day.
iii)
This random sample of responses collects the opinions of a random group of users of the particular site.
iv)
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
Answer:
a
[tex]n = 1324[/tex]
b
YES [tex]y = 48.03 \% [/tex]
NO [tex]m =44.94 \% [/tex]
NOT SURE [tex]m =7.02\% [/tex]
c
The correct option is (iv)
Step-by-step explanation:
From the question we are told that
The voting options are "Yes, " "No, " "Not sure, " or "Don't care."
The number of people that said is [tex]Y = 636[/tex]
The number of people that said No is [tex]N = 595 [/tex]
The number that indicated Not sure is [tex]S = 93[/tex]
Generally the sample size is mathematically represented as
[tex]n = Y + N + S[/tex]
=> [tex]n = 636 + 595 + 93[/tex]
=> [tex]n = 1324[/tex]
Generally the percentage of responses that was Yes is mathematically represented as
[tex]y = \frac{636}{ 1324} * 100[/tex]
=> [tex]y = 48.03 \% [/tex]
Generally the percentage of responses that was No is mathematically represented as
[tex]m = \frac{595}{ 1324} * 100[/tex]
[tex]m =44.94 \% [/tex]
Generally the percentage of responses that was Not sure is mathematically represented as
[tex]s = \frac{93}{ 1324} * 100[/tex]
[tex]m =7.02\% [/tex]
This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.
What’s the range? 10 points ! !
Answer:
[-7,2]
Step-by-step explanation:
the range is all the possible y-values, and the highest point of the graph is at (-3,2) while the lowest is at (0,-7). when looking at the y-coordinates, we realize that the range is [-7,2] (brackets because those points are included).
please someone help
Help been stuck on this for an hour
Answer:
3 miles per hour is what I got
Step-by-step explanation:
he does 1.25 miles in 25 min as 5/12 hr= 25 min <5/12 * 60 min>
25min /1.25 miles=20 minutes for 1 mile
convert to mph by multiplying by 3 = 60 min or 1 hr for 3 miles
Answer:
3 miles per hour is what Seth's unit rate is
Step-by-step explanation:
uh I don't know to be honest lol
What is the result of 5 divided by 1/5?
Answer:
15 divided by 1/5 is equal to 1.
A basket ball player makes 12 out of 15 free throws. What is his shooting percentage?
Answer:
80%
Step-by-step explanation:
