what is the the importance and applications of percentages in the real world?
Answers
Answer:
because
Step-by-step explanation:
Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. Percentages can be compared more easily than fractions. ... The commission can be a percentage of the sales made.
Answer:
Sales tax
Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.
Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?
Step-by-step explanation:
Related Questions
A survey of 170 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 68 of the 170 students responded "yes." An approximate 98% confidence interval is (0.313,0.487). Complete parts a through d below. a) How would the confidence interval change if the confidence level had been 90% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.) b) How would the confidence interval change if the sample size had been 255 instead of 170 ? (Assume the same sample proportion.) The new confidence interval would be The new confidence interval would be (.203,.331). (Round to three decimal places as needed.) c) How would the confidence interval change if the confidence level had been 99% instead of 98% ? The new confidence interval would be The new confidence interval would be (Round to three decimal places as needed.)
Answers
a) If the confidence level had been 90% instead of 98%, the new confidence interval would be (0.325, 0.475).
b) If the sample size had been 255 instead of 170, the new confidence interval would be (0.292, 0.508).
c) If the confidence level had been 99% instead of 98%, the new confidence interval would be (0.304, 0.496).
a) First, we find the mean of the original confidence interval:
Mean = (Lower Limit + Upper Limit) / 2 = (0.313 + 0.487) / 2 = 0.4
Margin of Error = (Upper Limit - Mean) = (0.487 - 0.4) / 2 = 0.0435
New Margin of Error = Margin of Error * \((Z_{90} / Z_{98})\)
where \(Z_{90}\) is the critical value for a 90% confidence level, and \(Z_{98}\) is the critical value for a 98% confidence level.
From the standard normal distribution table, we find:
\(Z_{90}\) ≈ 1.645
\(Z_{98}\) ≈ 2.326
New Margin of Error = 0.0435 * (1.645 / 2.326) ≈ 0.0306
Finally, we construct the new confidence interval using the adjusted margin of error:
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0306, 0.4 + 0.0306)
≈ (0.3694, 0.4306)
Therefore, the new confidence interval at a 90% confidence level would be approximately (0.369, 0.431) when rounded to three decimal places.
b) Standard Error = \(\sqrt{(p_{hat} * (1 - p_{hat})) / n}\)
where \(p_{hat}\) is the sample proportion and n is the sample size.
Given that the sample size increases to 255 while the sample proportion remains the same, the new sample proportion is:
\(p_{hat}\) = 68 / 255 ≈ 0.267
Standard Error = sqrt((0.267 * (1 - 0.267)) / 255) ≈ 0.028
For a 98% confidence level, the critical value is \(Z_{98}\) ≈ 2.326.
New Margin of Error = \(Z_{98}\) * Standard Error = 2.326 * 0.028 ≈ 0.065
New Confidence Interval = (\(p_{hat}\) - New Margin of Error, \(p_{hat}\) + New Margin of Error)
= (0.267 - 0.065, 0.267 + 0.065)
≈ (0.202, 0.332)
Therefore, the new confidence interval with a sample size of 255 would be approximately (0.202, 0.332) when rounded to three decimal places.
c) From the standard normal distribution table, we find:
\(Z_{99}\) ≈ 2.576
New Margin of Error = Margin of Error * (\(Z_{99}\) / \(Z_{98}\)) = 0.0435 * (2.576 / 2.326) ≈ 0.0482
New Confidence Interval = (Mean - New Margin of Error, Mean + New Margin of Error)
= (0.4 - 0.0482, 0.4 + 0.0482)
≈ (0.3518, 0.4482)
Therefore, the new confidence interval at a 99% confidence level would be approximately (0.352, 0.448) when rounded to three decimal places.
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Which of the following does not satisfy the inequality 3(x + 4) − x > 4?
A. x ≥ −3
B. x > −4
C. x = 0
D. x = −4
Answers
Answer:
B
Step-by-step explanation: It's B because -4 isn't greater than -4 it is the same number, and the symbol isn't greater than or equal to it is just greater than. Your answer is B.
After how many years will the battery life of a cell phone be 2 hours? Rounds to the nearest tenth if necessary
Answers
To round to the nearest tenth, we can say that a cell phone's battery life is typically 2 hours after two years.
Generally speaking, the battery life of a cell phone will depend on the type of phone and usage habits. Most cell phones will last about 18-24 months before needing to be replaced.
The battery life of a cell phone is determined by a variety of factors, including battery capacity, phone usage habits, and battery age. We can, however, make certain assumptions and calculate how long it would take for a common mobile phone battery to decline to 2 hours of battery life.
Considering that a typical lithium-ion battery, which is often used in mobile phones, has a capacity of approximately 3,000 mAh when new and that its capacity drops by roughly 20% after 2-3 years of usage, we may estimate that the battery capacity would be around 2,400 mAh after 2-3 years.
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A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
9
72
36
27
81
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
O The college will have about 640 students who prefer cookies.
O The college will have about 1,280 students who prefer cookies.
O The college will have about 1,440 students who prefer cookies.
Answers
Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
Answers
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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Is rectangle efgh the result of a dilation of rectangle abcd with a center of dilation at the origin? why or why not? yes, because corresponding sides are parallel and have lengths in the ratio four-thirds yes, because both figures are rectangles and all rectangles are similar. no, because the center of dilation is not at (0, 0). no, because corresponding sides have different slopes.
Answers
The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.
From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.
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find the ratios and reduce them in their lowest terms.
12cm and 8cm
Answers
A concave shaving mirror has a radius of curvature of +31.5 cm. It is positioned so that the (upright) image of a man's face is 3.40 times the size of the face. How far is the mirror from the face? Number i Units
Answers
The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.
Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40
We know that the formula for magnification is given by:
m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :
f = r/2where,f = focal length of the mirror
Using the mirror formula:1/f = 1/v - 1/u
We know that a concave mirror has a positive focal length, so we can replace f with r/2.
We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u
Also, from the given data, we have :m = v/u
Substituting the value of v/u in terms of m, we get: u/v = 1/m
So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u
Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm
Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.
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Anyone know how to prove these are equal to one another? I also need all the steps.
Answers
Answer:
Step-by-step explanation:
it can be simplified to \(\frac{sec \theta}{cot\theta+tan\theta} =sin\theta\) . if you multiply each side by the denominator, it becomes \(sec\theta=\frac{sin^2\theta}{cos\theta} + cos\theta\) since \(tan\theta=\frac{sin\theta}{cos\theta}\) and cotan is the reciprocal of that. Because \(sec\theta=\frac{1}{cos\theta}\) so multiplying each side gives \(1=sin^2\theta+cos^2\theta\), and \(sin^2\theta+cos^2\theta\) is equal to 1.
Preventing fatigue crack propagation in aircraft structures is an important element of aircraft safety. An engineering study to investigate fatigue crack inn cyclically loaded wing boxes reported the following crack lengths (in mm): 2.13, 2.96, 3.02, 1.82, 1.15, 1.37, 2.04, 2.47 and 2.60. Calculate the sample average and sample standard deviation. Construct a dot diagram of the data.
Answers
To calculate the sample average and sample standard deviation, we can use the following formulas: Sample average (x bar) = (sum of all values) / (number of values)
Sample standard deviation (s) = sqrt((sum of (each value - sample average)^2) / (number of values - 1))
Using these formulas, we get:
x bar = (2.13 + 2.96 + 3.02 + 1.82 + 1.15 + 1.37 + 2.04 + 2.47 + 2.60) / 9
= 2.09 mm
To calculate the sample standard deviation, we first need to find the sum of (each value - sample average)^2:
(2.13 - 2.09)^2 + (2.96 - 2.09)^2 + (3.02 - 2.09)^2 + (1.82 - 2.09)^2 + (1.15 - 2.09)^2 + (1.37 - 2.09)^2 + (2.04 - 2.09)^2 + (2.47 - 2.09)^2 + (2.60 - 2.09)^2
= 0.0193 + 0.6809 + 0.7276 + 0.0256 + 0.7696 + 0.3364 + 0.0036 + 0.1624 + 0.2131
= 2.9385
Using this value and the number of values (9), we can calculate the sample standard deviation:
s = sqrt(2.9385 / (9 - 1))
= sqrt(0.3673)
= 0.6061 mm
To construct a dot diagram of the data, we can simply plot each value on a number line. Here is a dot diagram of the given data:
|
| o
| o o
| o o
| o o o o
---+-------------------
1.0 1.5 2.0 2.5 3.0
Crack Length (mm)
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Multiply the following trinomials. (m+n-p) by (4m-3n+2p)
Answers
Trinomials are the polynomials with triplets. Ok, now let's solve the given question.
( m+n-p )( 4m-3n+2p ) –> These are the trinomials.For The Better Preference, Plz have a look of the handwritten answer which i had solved in the above attachment.
So, the answer of the product of the following polynomials are:‐ 4m² – 3n² – 2p² + mn – 2mp + 5 np.
If my answer is helpful to you, So do give a thanks and A Brainliest. !❤!
after michael mows 1/3 of the yard, what fraction of the yard does mel need to mow? explain
Answers
If Michael mows 1/3 of the yard then the fraction of left out yard will be 2/3.
Given that Michael mows 1/3 of the yard.
We are required to find the left out yard in terms of fraction.
Fraction is combination of two numbers ,one above the division sign and one below the division sign. The number above the division sign is called numerator and the number below the division sign is called denominator.
Fraction=Numerator/Denominator
All parts of the fraction sums out to be 1.
let the left out part be x.
x+1/3=1
x=1-1/3
x=2/3
Hence if Michael mows 1/3 of the yard then the fraction of left out yard will be 2/3.
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Balr's new computer costs less than twice the cost of her old computer. Her new computer cost $709. How much did Blair's old computer cost?
Answers
Answer:
$357
Step-by-step explanation:
A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each
year. Find the rate of decay each month and select the correct answer below.
-0.005143%
-0.5143%
-0.005%
-0.5%
Answers
Answer:
the correct answer is -0.5%
List the sides of the triangles in order from
greatest to least.
2
1. AB, AC, CB
2.AB, BC and CA are
the same
3.CA, AB, BC
4.AB, BC, CA
Answers
Need help with explanation
Answers
Answer:
Looks to confusing for me sorry tho
Step-by-step explanation:
true/false : within plus and minus two standard deviations of the mean, the area under any normal curve is about 68%
Answers
Answer:
False
Step-by-step explanation:
68% falls between the first standard deviation from the mean.
plus minus two would fall under 95%
Evaluate the expression when c=36 and d=24
Answers
The value of the expression after evaluating it according to the values of c and d is 42.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Since, no expression is given, let us assume that the expression is
c + d / 4
Now we have to evaluate the value of the expression according to the values of c and d,
For that, we will simply put the given values in the expression and solved it accordingly,
Put c = 36 and d = 24 in the expression we assumed,
c + d / 4 = 36 + 24/4
= 36 + 6 = 42
Hence, the value of the expression after evaluating it according to the values of c and d is 42.
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According to the graph, for which values of x is y always negative?
Answers
Answer:
3rd option
Step-by-step explanation:
y is negative below the x- axis , that is for values of x in the interval
x > - 6 and x < 6
Erin has one coin and Jack has one coin.
The total amount of their two coins is less than 50p.
Assuming that each outcome is equally likely, work
out the probability that exactly one of the coins is a
10p piece.
Give your answer as a fraction in its simplest form.
Answers
The probability that exactly one of the coins is a 10p piece is 1/2.
What is the probability that exactly one of the coin is a 10p piece?To find the probability that exactly one of the coins is a 10p piece, we can consider the possible outcomes.
There are two coins, and each coin can be either a 10p piece or a non-10p piece. Let's consider the four possible outcomes:
1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece.
2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece.
3. Both Erin's and Jack's coins are 10p pieces.
4. Both Erin's and Jack's coins are non-10p pieces.
Since the total amount of the two coins is less than 50p, we can eliminate the third possibility (both coins being 10p pieces).
Now, let's calculate the probability for each of the remaining possibilities:
1. Erin's coin is a 10p piece, and Jack's coin is a non-10p piece:
The probability of Erin having a 10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.
2. Erin's coin is a non-10p piece, and Jack's coin is a 10p piece:
This is the same as the previous case, so the probability is also 1/4.
3. Both Erin's and Jack's coins are non-10p pieces:
The probability of Erin having a non-10p piece is 1/2, and the probability of Jack having a non-10p piece is also 1/2. Therefore, the probability of this outcome is (1/2) * (1/2) = 1/4.
Now, we sum up the probabilities of the two cases where exactly one of the coins is a 10p piece:
1/4 + 1/4 = 2/4 = 1/2.
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carla believed that her teammates on the track team were faster than she was, so she began putting in extra practices in order to become just as fast as them. this is an example of . a. compensation b. rationalization c. regression d. displacement please select the best answer from the choices provided a b c d
Answers
Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.
Carla began putting in extra practices in order to become just as fast as them. This is an example of: Option A. CompensationCarla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.
By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.
Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.
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Select the correct solution method below, where x represents Kendall’s money
Answers
The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14
How to write equation?x = Kendall's money
Mateo's money = $98
= 7 × x
The equation:
7 × x = 98
7x = 98
x = 98/7
x = $14
Therefore, the correct answer is option B
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John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money John has after x days in a school account.
Answers
Answer:
y = $40 - ($3/day)x
Step-by-step explanation:
y = $40 - ($3/day)x represents the amount of money John has left after x days.
PLEASE HURRY & HELP ME NOW. IN A RUSH
Answers
Answer:
D
Step-by-step explanation:
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answers
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
Which polynomial is in standard form?
O 2xy + 3x8y4 - 4x4y5 + 9x576
O 8X5 - 5y4 – 2xy + xy
O x3y2–3x2y-9x4y +11x
O 5x?y2 +7x8y5 – 14x3y? +51x2y9
Answers
The polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
How to find the standard form of polynomial?A polynomial can have constants, variables and exponents, but never division by a variable. example of a polynomial is as follows:
4xy² + 2y + 5
Polynomial can be named base on the number of terms. For example monomial, binomial and trinomial.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Therefore, the polynomial in standard form is as follows;
8x⁵ - 5y⁴ - 2xy⁵ + x²y
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Answer: its b
8xy5 -5y4 -2xy5 +x2y
Step-by-step explanation:
I got it right on edge
hey yall i need you guys to answer this ]
At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?] P.S ur the best yall
Answers
Answer:
he spent $75.80
Step-by-step explanation:
hope this helps:D
URGENT!!!!!
Find the value of x that makes m n.
m
(7x - 11)
(4x + 58)
n
X =
Answers
Answer:
x = 23
7x - 11 = 4x + 58
(7x - 4x) - 11 = (4x - 4x) + 58
3x - 11 = 58
3x (- 11 + 11) = 58 + 11
3x = 69
3x/3 = 69/3
x = 23
Answer:
x=23°
Step-by-step explanation:
(7x - 11)=(4x + 58)
7x-4x=58+11
3x=69
x=23
A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?
Answers
Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.
What is the difference between factors and multiplies?A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.
Here,
So if there was 5 days, it would produce 5 times the amount above.
So 5 × (2.8 × 10⁶) = 14 × 10⁶
We must rewrite in scientific notation, so:
14 x 10⁶ = 1.4 x 10⁷
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A number is chosen at random from 1 to 50. Find the probability of selecting multiples of 6
Answers
Eight of those are in the range 1-50 ( excluding 0 and 54)
So 8/50!
Simplified: 4/25