Mean of a given set of data = Sum of all observations ÷ Total number of observations
Mean of this data set = 88 + 82 + 97 + 76 + 79 + 92 + 65 + 84 + 79 + 90 + 75 + 82 + 78 + 77 + 93 + 88 + 95 + 73 + 69 89 + 93 + 78 + 60 + 95 + 88 + 72 + 80 + 94 + 88 + 74
Mean = 2729 ÷ 30
Mean = 82.4Median = the middle observation in a given set of data
Median of these test scores = 60 , 65 , 69 , 72 , 73 , 74 , 75 , 76 , 77 , 78 , 78 , 79 , 79 , 80 , 82 , 82 , 84 , 88 , 88 , 88 , 88 , 89 , 90 , 92 , 93 , 93 , 94 , 95 , 95 , 97 .
Median = 82 + 82 / 2
= 164 ÷ 2
= 82
Median = 82Mode = most frequently occurring number in a given set of data .
Mode of these test scores =
= 60 = 1 time
= 65 = 1 time
= 69 = 1 time
= 72 = 1 time
= 73 = 1 time
= 74 = 1 time
= 75 = 1 time
= 76 = 1 time
= 77 = 1 time
= 78 = 2 times
= 79 = 2 times
= 80 = 1 time
= 82 = 2 times
= 84 = 1 time
= 88 = 4 times
= 89 = 1 time
= 90 = 1 time
= 92 = 1 time
= 93 = 2 times
= 94 = 1 time
= 95 = 2 times
= 97 = 1 time
Mode = 88Midrange = average of the largest and smallest number in a given set of data
Midrange of these test scores = 97 + 60 / 2
= 97 + 60 / 2
= 157 ÷ 2
= 78.5
Midrange = 78.5Therefore , the correct option is :-
(d) Mean is 82.4 , median is 82 , mode is 88 , midrange is 78.56 (x – 3) = 4(x – 4) + 2 (x - 1)
Answer: Infinitely many solutions
Step-by-step explanation: 0 = 0
Drink Amount
Juice 250 mL
Milk
400mL
Water 1,500 mL
What is the total amount of liquid, in liters, that Whitney drinks each day?
Step-by-step explanation:
the expression is worth 5 over 124
The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.
Answer:
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)
Where:
[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.
[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.
Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 50\,^{\circ}F[/tex]
Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 55.4\,^{\circ}F[/tex]
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
Which equations are true and can be used to find some multiples of 7? Check all that apply.
O 7x 0 = 7
O 7x1=7
O 7*4= 27
O 7x 10 = 70
O 7 x 12 = 84
Answer:
7 × 1 = 7 7 × 10 = 70 7 × 12 = 84
Step-by-step explanation:
what is the fifteenth term in the sequence 12, 24, 36, 48, 60,...? A72 B76 C96 D180
Answer:
D)180
you go 12+ so the nth term is 12n, then substitute the n with the term you're looking for, in this case it is 15: 12(15) = 180
Answer:
180
Explanation:
Can someone plz help me
Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
One difference between obtaining a car with a lease or a loan is that _____.
a. a loan will not have any additional fees or payments that need to be considered while a lease comes with a handful of additional charges
b. a lease will not have any additional fees or payments that need to be considered while a loan comes with a handful of additional charges
c. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
d. a loan finances the depreciated value of the car with related fees while a lease finances the total purchase price of the car
THE ANSWER IS: C. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Answer:
C. A loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Step-by-step explanation:
He legit said it. (Just writing this for those who are blind)
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
What is the difference between a Loan and a Lease?A loan is suitable for a property that you wish to possess at the maturity date, i.e. anything with long-term worth.
On the other hand, a lease is ideal for items that deteriorate gradually and will not retain their worth beyond the period.
The most significant contrast between a lease and a loan is the manner in which the finance costs are paid.The interest on a loan is amortized throughout the period. i.e. your consumer pays more interest at the start and more principal in the end.
Although leasing is not free, the financing charges are predetermined all through the period and are not deducted from the borrowed amount.
From the information given:
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
Learn more about Loan and lease here:
https://brainly.com/question/24460932
Use the graph to determine which statement describes f(x).
Answer:
The statements are not provided, so let's do a complete description of f(x)
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
Write each mixed number as an improper fractions 4 2/7
Answer:
30/7 is the answer yw
Step-by-step explanation:
What is the sum total of 2.36 cm, 5.298 cm, and 5.53 cm, using significant digits?
13 cm
13.188 cm
13.19 cm
13.20 cm
Answer:
13.19
Step-by-step explanation:
The sum total of 2.36 cm, 5.298 cm, and 5.53 cm, using significant digits is 13.19cm
The numbers in the question are decimals. Decimals are made up of writing integers and non integers. They are made up of tens, hundreds, tenths and hundredths.
For example, the decimal 2.36, is made up of unit (2), tenths (2) and hundredths (6).
In order to determine the sum of the decimals given, add 2.36, 5.298 and 5.53 together.
2.36 + 5.298 + 5.53 = 13.188 cm
Using significant digits, the number becomes 13.19 cm
To learn more about how to add decimals, please check: https://brainly.com/question/24826129?referrer=searchResults
Triangle ABC has vertices (−,),(,−), (−,−). What are the coordinates of the vertices of △′′′ for each reflection?
Solve for x.
(17x - 23)
(&r - 4)*
-(3x + 17)
Answer:
17rx2−23rx−71x+75
Step-by-step explanation:
(17x−23)(xr−4)−(3x+17)
=(17x−23)(xr−4)+−1(3x+17)
=(17x−23)(xr−4)+−1(3x)+(−1)(17)
=(17x−23)(xr−4)+−3x+−17
=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)
=17rx2+−23rx+−71x+75
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.
(4a−a3−3)+(2a3−5a2+8) find the sum
Answer: a3−5a2+4a+5
Step-by-step explanation:
4a+−a3+−3+2a3+−5a2+8
=(−a3+2a3)+(−5a2)+(4a)+(−3+8)
=a3+−5a2+4a+5
A family’s cell phone plan costs $65per month for 1,100 minutes and 35 cents per minute over the limit this month the family
Answer:
0.35x +65=1100+x
Step-by-step explanation:
Hey ya didnt get the question here
so I creat a equation that ya can use
let x be the number of the phone calls Min that is MORE THAN 1100 min
0.35x +65=1100+x
Hope this help ya
<3
Red
Given 4,-1 and 0,5 write the equation
Answer:
[tex]y=-\frac{3}{2}x+5[/tex]
Step-by-step explanation:
If you are referring to the equation that passes through these two points:
the slope of (4,-1) and (0,5) is [tex]\frac{-1-5}{4-0} = \frac{-6}{4} = -\frac{3}{2}[/tex].
Using slope-point with (0,5): [tex]y-5=-\frac{3}{2}(x-0)[/tex]
Solving that you get [tex]y=-\frac{3}{2}x+5[/tex]
this is urgent please help i need this qucik : neetu said that the sum of -8+d is always positive whenthe value of d is greater than 0 .is neetu's statement always true some times true or never true? explain your answer.provide at least two examples that support your answer.
Answer:
no this isn't true d could = 1 and then -8+1 is still -7
Step-by-step explanation:
simplify (7x +2) 3 +8x
After 3.5 hours, Peyton had traveled 161 miles. If she travels at a constant speed, how far will she have traveled in 4 hours
Answer:
1.3 more miles i think
Step-by-step e
3.5 hours equal 210 and i divided it by 163 and thats what came up
Answer:
46
Step-by-step explanation:
C:
Its correct dont worry!
By the way I have no idea why I am doing this but have some free emojis :D
✌︎ ✎ ☁︎☾ ABC: ℂℍℕℙℚℝV☘︎☞❀❁❄︎␘ I have way more but it does not fit D:Marshall paid $277.13 for a new golf club, after tax, and the tax rate is 7%. What was the original price of the golf club?
Answer:
257.73
Step-by-step explanation:
93% of 277.13 is 257.73
Answer:
It’s actually $259
Which of the following graphs represents the function
Answer:
c
Step-by-step explanation:
kelly buys 3 video games that cost &18.95 each. she also buys 2 pairs of earbuds that cost $11.50 each. she has a coupon for $2 off the price of each video game. kelly uses a calculator to find that the total cost of the items is $77.85. the cashier tells her that the total cost is $73.85. who is correct?
Answer:
The Cashier
Step-by-step explanation:
First you take off $2.00 of every $18.95 of the game and you get $16.95 you add 16.95 three times and after that you add 11.50 twice and then the sum of both the earbuds and the video games and you add both together and you get $73.85
PLEASE HELPP!!!!! Will mark you as Brainliest!!!!
Answer:
Yes! if this was an option then this one would be correct
Step-by-step explanation:
In order to see if the ordered pair are a function you could graph them, or you could look at the x-values and see if there are any duplicates. in this case there are not.
High Hopes^^
Barry-
Can someone help me please
Answer:
y= -3/4x-1
Step-by-step explanation:
y-(-4)= -3/4(x-4)
y+4= -3/4x+3
y= -3/4x-1
Dino has $1,000 in a savings account that was started for him when he was born. He has a part-time job where he earns $60 each week, and he puts $20 of that into his account each week. An equation could be used to model the amount in his account, y, after x weeks.
Which statements are true about a graph of the equation that will show his account balance during a year? Check all that apply.
A. The x-axis should be labeled from 0 to 12 months since you want to see the change over a year.
B. The x-axis should be labeled from 0 to 52 weekss since you want to see the change over a year.
C. The y-axis should be labeled from $0 to $1,000 since the money in the account will not go above $1,000.
D. The y-axis should be labeled from $0 to $1,300 since the money in the account will not go above $1,300.
E. The y-axis should be labeled from $750 to $1,000 since that is the approximate range of y-values for the year.
F. The y-axis should be labeled from $1,000 to $2,100 since that is the approximate range of y-values for the year.
Answer:
A and B make the most sense.
Your hourly wage is $9.30 per hour plus $0.90 for each unit produce. How many units must you produce in one hour so that your hourly wage is $18.30?
Answer:
10 units produce
Step-by-step explanation:
9.3+.9x=18.3
.9x=9
Divide
x=10
Answer:
10 units
Step-by-step explanation:
10*0.90=9 units
9+9.30=18.30
Felipe used a 40 percent off coupon on a single item at the craft store which saved him $16.42. What would the item have cost if he had not used the coupon?
$22.99
$32.84
$41.05
$56.42
Answer:
41.05
Step-by-step explanation:
y = -2x+ 7 has this type of slope
A.positive
B.negative
C.Zero
D.undefined
Answer:
B: Negative
Step-by-step explanation:
-2/1 is the slope which is negative.
4. There are 37 students in the class.
Each student sold 41 boxes of nuts
About how many were sold?
(A) 1000
(B
1600
(C) 2000
DI 2400
Answer:
B)1600
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
41 × 37 = 1517
Approximate 1517
How many multiples of 10 are there from 100 to 200?
Answer:
100,110,120,130,140,150,160,170,180,190,200
Step-by-step explanation:
count in 10s