A type of sampling in which the country is divided into economic classes and a sample is selected from each class for survey is known as stratified sampling.
The types of sampling.In Statistics, there are different types of sampling methods used by researchers and these include the following;
Random sampling.Convenience sampling.Cluster sampling.Systematic sampling.Stratified sampling.Basically, stratified sampling is a type of sampling in which a population is divided into distinct classes and a sample is selected from each class for survey.
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Which goal would people be most likely to set after reading this passage?
Recycle plastic and glass bottles.
Walk or ride a bike instead of driving.
Reduce the amount of water they use.
Turn off their electrical appliances.
Answer:
save environment
Explanation:
hope this helps
Answer:
Reuseing
Explanation:
Reducing and recling
Belts costs $11 and blouses cost $18. If Kara
spends at least $51 but no more than $62
for x belts and one blouse, what is one
possible value of x?
Answer:
Two possiable answers for X are 3 and 4
Explanation:
18+11(3)=51
18+11(4)=62
One possible value of x is 4. Kara buys 4 belts and one blouse, spending $62 (4 belts * $11 per belt + $18 for the blouse).
What is the cost?
Total cost = (Cost of x belts) + (Cost of one blouse)
Total cost = (11x) + 18
According to the given condition, Kara spends at least $51 but no more than $62:
51 ≤ (11x + 18) ≤ 62
Lower bound:
51 ≤ 11x + 18
Subtract 18 from both sides:
51 - 18 ≤ 11x
33 ≤ 11x
3 ≤ x
Upper bound:
11x + 18 ≤ 62
Subtract 18 from both sides:
11x ≤ 44
Divide both sides by 11:
x ≤ 4
Thus;
3 ≤ x ≤ 4
The only integer value of x that satisfies both inequalities is x = 4.
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Johnny deposited $50 in a savings bank at
the beginning of the year. Johnny’s money
earns him interest at the rate of 8 percent
of the amount deposited, for each year that
Johnny leaves his money in the bank. If
Johnny leaves his $50 in the bank for
exactly one year and then decided to
withdraw all of his money, how much
money (including interest) can he withdraw?
(The interest is not compounded.)
Answer:
54 dollars
Explanation:
Because this problem involves simple interest, and the money is only deposited for one year, you can calculate the amount of money in the bank after one year by thinking about a percent increase. Johnny starts with 50 dollars in his bank account, and we are given that he will experience an 8% increase over the year. This means that the amount of money in his bank account after one year is just 50 + 0.08*50 (the principal amount plus the simple interest, or amount of money that increases during the year). This is equal to 50 + 4, or 54 dollars.
Note that, whenever we are dealing with simple interest, the amount of money in the bank after a certain number of years is just P(1 + PRT), where P is the principal amount, R is the interest rate, and T is the number of years the money is in the bank.
[tex]\frac{7x}{144}[/tex] yards and [tex]\frac{5y}{12}[/tex] feet together equal how many inches?
Answer:
(7x/4) + 5y inches
Explanation:
We know that there are 12 inches in a foot, and 3 feet in a yard. If we do the conversion, this means there are 36 inches in a yard. Now, we can do the calculation. We are given that there are 7x/144 yards. If we multiply this quantity by 36, we will get the number of inches that is equivalent to 7x/144 yards:
[tex]\frac{7x}{144}*36=\frac{7x}{4}[/tex]
We are also given that there are 5y/12 feet. If we multiply this quantity by 12, we will get the number of inches that is equivalent to 5y/12 feet:
[tex]\frac{5y}{12}*12=5y[/tex]
The total number of inches is the sum of the two smaller measurements we just found. In other words, it is (7x/4) + 5y inches
If 4^3a/8^b=1, what is a/b?
A. 1/3
B. 1/2
C. 3/4
D. 4/3
Answer:
B. 1/2
Explanation:
Here, 4^3a/8^b=1
or, 4^3a=8^b
or, (2²)^3a=(2³)^b
Equating powers of like bases,
6a/3b=1
or, a/b=3/6=1/2.
If a train maintains a constant speed of 60 miles per
hour, it can travel 4 miles per gallon of diesel fuel. If
this train begins a trip with a full 200 gallon tank of
diesel fuel, and maintains a speed of 60 miles per
hour, which of the following equations represents the
number of gallons, g, left in the tank t hours into the
trip?
Answer: g=200-15t
Explanation: The speed is constant at 60 mph. That means every hour, the train is going 60 miles. Since a gallon allows it to travel 4 miles, to travel 60 we need 15 gallons. And since we are going 60 miles every hour, we are using 15 gallons an hour. So we start with 200 gallons, and every hour, t, we use 15 gallons to get gallons (g)=200-15t
A customer service call center for a credit
card company asks 1 in 8 of the callers to
take a survey at the conclusion of the call.
Approximately 20% of those solicited
consent to the survey. If 400 callers were
serviced between 2:00 and 3:00 one
afternoon and 20% of the callers consented
to the survey, how many callers did not
consent to the survey?
The number of callers that did not consent to the survey is 40 callers.
Number of callers that did not consent to the surveyUsing this formula
Number of caller=Callers×(1-Percentage of those that solicited)÷Callers at conclusion survey
Let plug in the formula
Number of caller=400 ×(1-20%)÷8
Number of caller=400 ×80%÷8
Number of caller=320÷8
Number of caller=40 callers
Therefore the The number of callers that did not consent to the survey is 40 callers.
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As you read the essay, “Congress and the Quest for Power” by Lawrence Dodd, answer the following questions.
1.) According to the author, people enter politics for what reason?
2.) Dodd asserts that “reelection” is necessary for three reasons. What are these three reasons?
3.) The “electoral connection” will lead members of Congress to emphasize what traits? What traits or actions will they begin to care about less?
4.) What motive causes each member of Congress to be in conflict with each other?
5.) Where do Congress members spend the most time? Why?
According to “Congress and the Quest for Power” by Lawrence Dodd, people enter politics because of their quest for power.
Dodd asserts that “reelection” is necessary for three reasons. What are these three reasons?The three reasons why reelections are required are:
Personal PowerAura of Personal LegitimacyOpportunity go gain expertise and experience.The “electoral connection” will lead members of Congress to emphasize what traits?The “electoral connection” will lead members of Congress to emphasize :
Form over substancePosition TakingAdvertisement Credit claiming.What traits or actions will they begin to care about less?The traits or actions they begin to care about less are:
Failure to take clear and controversial positions;Failure to make hard choicesFailure to exercise power.What motive causes each member of Congress to be in conflict with each other?The need to exercise power for making key policy decisions.
Where do Congress members spend the most time? Why?They spend most of their time in:
the committee or sub committee roomsin caucus meetings; orOffice work related to legislation.Learn more about congress at;
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Which of the following expressions is equivalent to 2a(3a-4a^2)?
A. 5a-2a^2
B. 5a^2-2a^3
C. 6a-8a^2
D. 6a^2-8a^3
Answer:
D. 6a^2-8a^3
Explanation:
Using distributive property
whats the diference between 1/2 e to the x minus 4 and e to the x minus 4
The difference between [tex]\frac{1}{2}e^{x-4}[/tex] and [tex]e^{x-4}[/tex] is that the first equation is only half of the second equation. When we multiplied [tex]e^{x-4}[/tex] by [tex]\frac{1}{2}[/tex], the remaining result became half of [tex]e^{x-4}[/tex]. Hope this helps!
Which type of mortgage each person should choose?
The type of mortgage each person should choose are :
A government issued mortgage for options 1 and 3 A conventional mortgage for option 2 Advantages of Government issued mortgageGovernment issued mortgages are more lenient, giving the borrower fair conditions. Because as lower credit score borrowers can qualify for Government issued mortgage unlike conventional mortgages. Also government backed mortgages require a lesser down payments and are better used when financing a home acquisition.
Hence we can conclude that The type of mortgage each person should get are A government issued mortgage for options 1 and 3 and A conventional mortgage for option 2
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12. A landscaper buys a new commercial-grade
lawn mower that costs $2,800. Based on
past experience he expects it to last about 8
years, and then he can sell it for scrap metal
with salvage value of about $240. Assuming
the value of the lawn mower depreciates at
a constant rate, which equation could be
used to find its approximate value after x
years, given that x < 8?
The equation could be used to find the approximate value after x years is y = -320x + 2,800.
Linear equation of the cost model
The equation could be used to find the approximate value after x years, is calculated as follows;
y = mx + c
where;
c is the constant, equivalent to the initial cost = $2,800m is the rate of change of costinitial points (0, 2,800)
final points (8, 240)
m = (240 - 2800)/(8 - 0)
m = -320
y = -320x + 2,800
Thus, the equation could be used to find the approximate value after x years is y = -320x + 2,800.
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How 401k loans are different from other loans
Answer:
Technically, 401(k) loans are not true loans, because they do not involve either a lender or an evaluation of your credit history. They are more accurately described as the ability to access a portion of your own retirement plan money—usually up to $50,000 or 50% of the assets, whichever is less—on a tax-free basis.
y=x^3+kx^2-9x-18
One solution to the equation shown above is -2. What is the positive solution to the equation?
Answer:
3
Explanation:
A solution to a function is when the graph of the function crosses the x-axis. In other words, it's a point where y = 0. So, we can set x^3 + kx^2 - 9x -18 equal to 0. Note that there is an unknown coefficient in this equation (k) that we have to solve for. We are given that one solution to this equation is -2. This means that we can plus x = -2 into the equation and solve for the unknown k:
[tex](-2)^3+k(-2)^2-9(-2)-18=0\\-8+4k+18-18=0\\4k=8\\k=2[/tex]
Therefore, the complete equation is the following:
[tex]y=x^3+2x^2-9x-18[/tex]
As it turns out, we can use grouping to factor this polynomial. Let's start by re-ordering the terms to visualize it better:
[tex]x^3-9x+2x^2-18=0[/tex]
The first two terms have a GCF of x, and the last two terms have a GCF of 2:
[tex]x(x^2-9)+2(x^2-9)[/tex]
Now, there is a common term that we can bring to the front to complete our factoring process:
[tex](x^2-9)(x+2)[/tex]
First of all, note that x+2 is one of the factors, and if this was set to 0, we would get -2, which is consistent with the problem. Also, note that our other term can be factored more because it is a difference of two squares:
[tex](x-3)(x+3)(x+2)=0[/tex]
If we set each term to 0, we get x = 3, x = -3, and x = -2. We are only looking for the positive solution to this equation, which is 3
17. A supermarket buys cartons of orange juice
for k dollars each and then sells them for [tex]\frac{4k}{3}[/tex]
dollars each. How many cartons do
they need to sell to make a profit of $2,000?
A total of 6,000 cartons would be needed.
Miscellaneous calculationCost price = k dollars
Selling price = 4k/3 dollars
Assuming k = 1 dollar
Profit per carton = 4/3 - 1 = 1/3 dollars
2000/1/3 = 6,000 cartons.
Thus, irrespective of the cost price, 6,000 cartons would be needed to generate a profit of $2,000
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A technology store sells tablets and
computers. In January they sell over 300
items, and more of those sales are tablets
than computers. In February they sell
exactly 100 tablets and 20 computers. The
graph at left shows two equations related
to this problem, where t is the total tablet
sales (in January and February combined),
and c is the total computer sales. Which of
the following combinations could be the
technology store's total sales?
A. 240 tablets and 100 computers
B. 360 tablets and 180 computers
C. 240 tablets and 260 computers
D. 120 tablets and 180 computers
The combination that could be the total sales would be 360 tablets and 180 computers.
Total sales
Over 300 total sales were made in January
100 tablets and 20 computers were sold in February.
This means that total sales would be: (300+) 100 + 20 = 420+
Only options B and C have 420+ total sales.
But, there are more tablet sales than computers.
Thus, we are left with only option B
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15. Container A holds twice as much as
container B, and container C holds as much
as A and B put together. If we start with A
and B full, and C empty, and pour half the
contents of A and a third of the contents of
B into container C, what fraction of C’s
capacity will be filled?
The fraction of C’s capacity that will be filled is determined as 4/9.
Fraction of C's capacity filled
A = 2B
C = A + B
C = 2B + B
C = 3B
When half the contents of A and a third of the contents of B into container C.
C = (1/2)A + (1/3)B
C = (1/2)(2B) + (1/3)B
C = B + (1/3)B
C = (4/3)B
Fraction of C filled;
3B(x) = (4/3)B
3x = 4/3
9x = 4
x = 4/9
Thus, the fraction of C’s capacity that will be filled is determined as 4/9.
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The sum of three numbers is 780. One of
the numbers, n, is 50% more than the sum
of the other two numbers. What is the
value of n?
The value of n in the unknown three numbers is 468.
Value of the missing numberlet the first number = nlet the sum of the second and third number = y
n + y = 780
if n is 50% more than y;
n = 1.5y
1.5y + y = 780
2.5y = 780
y = 780/2.5
y = 312
n = 1.5y = 1.5 x 312 = 468
Thus, the value of n in the unknown three numbers is 468.
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If one pound of grain can feed five chickens
or two pigs, then ten pounds of grain can
feed 20 chickens and how many pigs?
Answer: 12 pigs
Explanation:
1 pig= 1/2 lb
1 chicken= 1/5 lb
20 divided by 5 = 4 lbs of grain used on chickens
10 - 4 = 6
6 x 2 (how many pigs could be fed with a pound) = 12 pigs
Amanda travels to work from home in 60
minutes. If, on her way home, she increases
her average speed by 20% and she travels
by the exact same route, how many
minutes will it take her to get home?
Answer:
50 minutes
Explanation:
We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:
[tex]60x=1.2xy\\60=1.2y\\y=50[/tex]
If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home
A pair of hiking boots sells for $80.00. After
one week, the vendor reduced the cost of
the boots by 20%. After two weeks, he
raised the current price by 20%. What is the
cost of the hiking boots after two weeks?
When might make sense for a borrower to take a personal loan instead of using a credit card?
Answer:
There are a few situations where it might make sense for a borrower to take out a personal loan instead of using a credit card. If the borrower has a lot of high-interest debt on their credit cards, taking out a personal loan and using the money to pay off the credit card debt could save the borrower money in interest payments. Another situation where a personal loan might make more sense than a credit card is if the borrower needs to make a large purchase, such as a car or a boat, and they don’t have enough money in their savings account to cover the purchase. Taking out a personal loan to finance the purchase could be a good option.
(x^5*y^6)^1/5(x^3*y^4)^1/4=x^m/4*y^n/5
If the equation above, where m and n are constants, is true for all positive values of x and y, what is the value of m+n?
If m and n are constants and it is true for all positive values of x and y, the value of m+n is 7+11 = 18
What is the simplification of the given algebra?The simplification of the given algebra can be evaluated by using the law of indices.
Given that:
[tex]\mathbf{=(x^5y^6)^{1/5}(x^3y^4)^{1/4}}[/tex]
[tex]\mathbf{=xy^{6/5}(x^3y^4)^{1/4} }[/tex]
Simplifying using the multiplication power rule.
[tex]\mathbf{=xy^{6/5}(x^{3/4}y)}[/tex]
[tex]\mathbf{=xy^{6/5} \times (x^{3/4}y)}[/tex]
Multiplying like terms.
[tex]\mathbf{=x^{\frac{4+3}{4}} y^{\frac{6+5}{5}}}[/tex]
[tex]\mathbf{=x^{\frac{7}{4}} y^{\frac{11}{5}}}[/tex]
where;
m = 7 and n = 11The value of m+n = 7+11 = 18.
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Function f is defined by the equation
f(x)=ax² + [tex]\frac{2}{a} x[/tex]. If f(3) – f(2) = 11, what is the
smallest possible value of a?
The smallest possible value of a in the given function is 1/5.
Value of f(3)
From the given function, the value of f(3) is calculated as follows;
f(x)=ax² + [tex]\frac{2}{a} x[/tex]
f(3) = a(3)² + [tex]\frac{2}{a}(3)[/tex]
f(3) = 9a + 6/a
Value of f(2)f(x)=ax² + [tex]\frac{2}{a} x[/tex]
f(2) = a(2²) + [tex]\frac{2}{a} (2)[/tex]
f(2) = 4a + 4/a
f(3) – f(2) = 11
(9a + 6/a) - ( 4a + 4/a) = 11
9a + 6/a - 4a - 4/a = 11
5a + 2/a = 11
multiply through with "a"
5a² + 2 = 11a
5a² - 11a + 2 = 0
5a² - 10a - a + 2 = 0
5a(a - 2) - 1(a - 2) = 0
(5a - 1)(a - 2) = 0
a = 2, or
5a = 1
a = 1/5
Thus, the smallest possible value of a in the given function is 1/5.
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Explain how it is that many Americans find themselves swimming in credit card debt, unable to pay down their
debt quickly.
Answer:
People use their card for a purchase they can’t afford or want to defer payment, and then they make only the minimum payment that month. Soon, they are in the habit of using their card to purchase things beyond their budget. Since they are making only the minimum monthly payment, it won’t seem to matter much if their credit card balance gets a bit larger. This is a quick illustration to show how their “small balance” of just a few thousand dollars can really mean paying more than double that amount over the years because of interest. Also, when they are trapped in this mindset, their balance barely budges. With a debt of $5,000 and a minimum monthly payment of $150 (at 3% of the total balance), they will only be paying $47.30 each month toward their principal. The rest goes toward their interest accrued.
23. A lawn covers 108.6 square feet. Russ
mowed all of the lawn in three evenings. He
mowed 2/9 of the lawn during the first
evening. He mowed twice that amount on
the second evening. On the third and final
evening he mowed the remaining lawn.
How many square feet were mowed the
third evening?
The number of square feet that were mowed in the third evening is 36.201 ft².
Amount of lawn moved in the first dayAmount (day 1) = ²/₉ x 108.6 ft²
Amount (day 1) = 24.133 ft²
Amount of lawn moved in the second dayAmount (day 2) = 2(24.133 ft²) = 48.266 ft²
Amount of lawn moved in the third dayAmount (day 3) = 108.6 ft² - (24.133 ft² + 48.266 ft²)
Amount (day 3) = 36.201 ft²
Thus, the number of square feet that were mowed in the third evening is 36.201 ft².
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3 reasons why a introductory rate or balance transfer APR of 0% might not be a good offer after all
Answer:
The APR doesn't last forever. Enjoy it while you can, because once your 0% introductory period is over, it's over. The 0% interest only lasts for the duration of the introductory period, and once it ends, the card will revert to its regular APR (the exact rate is determined based on your creditworthiness).
Answer:
Explanation:no
The length of a rectangle was reduced by 10%
and the width by x%. If the resulting
dimensions reduced the area by 32.5%,
what is the value of x?
Answer:
x = 25
Explanation:
We can let an arbitrary rectangle has a length and width of 10, making the total area 10*10 or 100. We know that the length of the rectangle is reduced by 10%, meaning the new length is now 10 - (0.1*10), or 9. The actual width is unknown, but we do know that it will be an x% reduction of the original width: 10 - (0.01x*10), or 10 - 0.1x. We are also given that the area is reduced by 32.5%. This means the new area is 100 - (0.325*100), or 100 - 32.5, which is 67.5. Now, we can use the area formula (length*width) to find the value of x:
[tex]length*width=area\\9*(10-0.1x)=67.5\\90-0.9x=67.5\\-0.9x=-22.5\\x=25[/tex]
This means that the value of x is 25, or the width was reduced by 25%
Write one to two paragraphs describing your plan. In your answer, include all of the following: (a) what you would do about your grades; (b) activities in which you can get involved; (c) possible part-time jobs you can do; and (d) standardized tests you can take. (10 points)
My plan in terms of school work is to do a small research on how one can have a good grade without stress.
In terms of my grades, I will study hard and improve on it that previous semester. The activities that i will be involved is the science club
What is the possible part-time jobs you can do?The possible jobs are:
To work in the state libraryTo work as a janitor.In terms of the above, a standardized tests that i can take is random sampling to know what and what not to do.
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Answer:
my plan start with school so when i start
I am grade 9 student.
I hope to score average above 90
I am a student so my work, job is learning
I take a test tomorrow and I am studying now
The statement of account brings out numerous information beneficially, to Two (2) important state who are these parties and list FIVE(5) information that would appear on this document.
Pls help!!!
The two parties that benefit from the information in a statement of account are:
BuyerSellerWhat is a Statement of Account?This refers to the financial record that states the exchange of goods and income between a buyer and seller during a certain period.
Hence, we can see that some information that would appear in a statement of account are:
Cash advancesBalance transfersInterest chargesPaymentsCredits, etcRead more about a statement of account here:
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