For this exercise you need to use the following formula:
\(PercentageDecrease=\frac{Initial\text{ }Value-Final\text{ }Value}{|Initial\text{ }Value|}\cdot100\)In this case, you know that the price of the shoes is usually $80 and now it is $76. Then:
\(\begin{gathered} Initial\text{ }Value=80 \\ Final\text{ }Value=76 \end{gathered}\)Therefore, substituting values into the formula and evaluating, you get:
\(\begin{gathered} PercentageDecrease=\frac{80-76}{|80|}\cdot100 \\ \\ PercentageDecrease=\frac{4}{80}\cdot100 \\ \\ PercentageDecrease=5 \end{gathered}\)Hence, the answer is: 5%
The annual profits for a company are given in the following table, where x represents the number of years since 2005, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for 2016, rounded to the nearest thousand dollars.
The linear regression equation that represents the given set of data is y = 442.86x + 1150, where x represents the number of years since 2005 and y represents the profit in thousands of dollars.
What is data in mathematics?Data in math is information that is organized and analyzed to help draw conclusions and make predictions. It can be numerical, or it can be non-numerical, such as words or images. Data can be collected through experiments, surveys, or other methods. Data analysis helps mathematicians to uncover patterns, relationships, and trends that could not be seen through traditional methods. Data can be used to solve problems, make decisions, or create models to help explain the behavior of a system.
x y
0 1150
1 1550
2 1850
3 2150
4 2500
Linear regression equation:
y = 442.86x + 1150
Projected profit for 2016 (in thousands of dollars):
7,427.
The linear regression equation that represents the given set of data is y = 442.86x + 1150, where x represents the number of years since 2005 and y represents the profit in thousands of dollars. Using this equation, the projected profit for 2016 (in thousands of dollars) can be calculated to be 7,427. This shows that the company's profits are expected to increase steadily over time.
It is important to note that the linear regression equation is just a model of the data and may not accurately predict the actual profits in 2016. Other factors such as economic conditions, competition, and market trends can all affect a company's profits and should be taken into consideration when making any predictions.
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PLEASE HELP!!!
Shade 30% of the whole grid.
How much blocks do i shade?
Answer:
Shade 6
Step-by-step explanation:
There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard
I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
Help with geometry homework
The lake frontage of lot B to the nearest tenth is; 70.5 yds
How to use similarity ratio?We know that;
Two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor .
Find the lake frontage (to the nearest tenth) of each lot shown;
184/(54 + 69 + 57) = A/54 = B/69 = C/57
Thus, the lake frontage of lot B to the nearest tenth is;
B/69 = 184/180
B = (184 * 69)/180
B = 70.5 yds
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I need some help with this problem
Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))
Can I find a tutor to help me with this answer?
Explanation:
We have the equation of a quadratic function:
\(f(x)=(x-2)^2+2\)And we need to find and plot the vertex of the equation.
We start by remembering that a quadratic equation is represented by a parabola and that the vertex is the point where the parabola changes direction, usually represented by (h, k) as shown in the following example:
• How do we find the vertex using the given equation?
We find it by comparing our equation with the general vertex form of the quadratic equation:
\(f(x)=a(x-h)^2+k\)where
\((h,k)\)is the vertex, and a is a constant.
Using the given equation, we find the h and k values:
\(\begin{gathered} f(x)=(x-2)^{2}+2 \\ \downarrow \\ h=2 \\ k=2 \end{gathered}\)Therefore, the vertex is at (2, 2).
Answer:
The point (2,2) representing the vertex is shown in the image:
If a fruit cake needs 3 4 of a carton of all-purpose cream and 2 3 of a carton of condensed milk to make, how many cartons of all purpose cream does Grandma need to buy to make 5 fruit cakes?
2 + 2 = whattttt ukmkkni
Answer:2+2=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
think of it like this
1+1=2+1=3+1=4
glad i could help
Hehehe
find the value of x. help with geometry pls
Answer:
Find the value of x:-
To find Y, use Pythagorean theorem:- \(c^{2} =a^{2} +b^{2}\)
\((2.1)^{2} =y^{2} +(1.4)^{2}\)
\(2.1^{2}=4.41\)
\(1.4^{2} =1.96\)
\(4.41=y^{2} +1.96\)
subtract 1.96 from both sides
\(2.45=y^{2}\)
\(y=1.5652\)
Now, to find x:-
\(x=y+y\)
\(= 1.5632+1.5652\)
\(x=3.1 \: ft\)
~OAmalOHopeO
Helpppp!!!!!!! I will give brainliest and extra points!!! Be fast!!
:
Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?
Answer:
n= 15
Step-by-step explanation:
HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
4 liters of oil cost $10.00. Find the cost per liter of oil.
Group of answer choices
$2.00
$3.00
$10.00
$2.50
$400
Answer: $2.50
$10.00 per 4 liters
10/4=2.5
I hope this is good enough:
Answer: because i just want points and 1 +2= 3
Step-by-step explanation: because if u add 2 with 1 u will get 3
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Simplify 3\(\sqrt\)2-√2
Answer: (√2)(2) = 2√2
Step-by-step explanation:
To simplify the expression 3√2 - √2, you can factor out the common term √2:
3√2 - √2 = (√2)(3 - 1)
Now, subtract the numbers in parentheses:
(3 - 1) = 2
(√2)(2) = 2√2
Determine if a maximum or minimum exists for f(t) when defined for all real numbers. If so, find its extremum and identify whether it is a maximum or minimum. F(t) = 4t + 6
The linear function is given as
\(F(t)=4t+6\)For the linear function, there is no minimum value or maximum value exists.
We can always put a larger value of X (positive or negative) and get an always larger Y value.
Somone PLEASE answer this thanks!
A movie complex is showing the same movie in three theaters. In theater A, 44 of the 80 seats are taken. In theater B, 42 seats are taken and 28 seats are empty. In theater C, 27 of the 90 seats are empty. Which theater has the greatest percent of its seats taken? Which theater has the greatest of its seats taken ?
Answer:
Theater C
Step-by-step explanation:
Theater A has 80 seats, 44 of which are taken. 44/80 can be simplified to 11/20, which is 0.55 in decimal form, and 55% in percent form.
Theater B has 70 seats, because 42+28 = 70. 42 of those 70 seats are taken. 42/70 is 60%
Theater C has 90 seats, and because 27 are empty, we can subtract 27 from 90, which leaves us at 63 seats are taken. 63/70 is 70%
70% is the biggest percentage, so Theater C has the greatest seats taken.
I hope this helps! :))
160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
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Previou
Next >
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
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A system of equations is given.
Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7
Explain how to eliminate x in the system of equations.
Step-by-step explanation:
To eliminate x in the system of equations:
1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:
Equation 1: 36x -54y = 90
Equation 2: -36x - 8y = -28
2. Add the two equations together to eliminate x:
(36x - 54y) + (-36x - 8y) = 90 - 28
Simplifying, we get:
-62y = 62
3. Solve for y:
y = -1
4. Substitute y = -1 into one of the original equations, say Equation 1:
4x - 6(-1) = 10
Simplifying, we get:
4x + 6 = 10
5. Solve for x:
4x = 4
x = 1
Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.
A textbook store sold a combined total of 259 chemistry and sociology textbooks in a week. The number of sociology textbooks sold was 81 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
178
259-81 you have to subtract
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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can someone help me on number 4
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
f(x) = -x + 2, find f(6)
Answer:
f(6)=-(6)+2=-4
........................
a line is perpendicular to y= "-2x+5" and intersects at the point (-4,2). what is the equation of this perpendicular line
Answer:
y=(1/2)x-1
Step-by-step explanation:
Since you know that this line is perpendicular to the given equation, you also know that the slope of the line will be the opposite reciprocal to that of the given equation. Therefore:
slope= 1/2
Now, since you also know that the lines intersect at the point (-4,2), you just have to plug these numbers into the x and y in the equation to solve for b.
(2)=(1/2)(-4)+b
b=-1
Therefore, the equation is
y=(1/2)x-1
1 3/5 divided by 2/5
Answer:
4
Step-by-step explanation:
1 3/5 ÷ 2/5
Change the mixed number to an improper fraction
( 5*1+3)/5 ÷ 2/5
8/5 ÷ 2/5
Copy dot flip
8/5 * 5/2
Rewriting
8/2 * 5/5
4*1
4
What is the value of (4 minus 2) cubed minus 3 times 4? a.Negative 20 b.Negative 4 c.4 d. 20
Answer:
B. Negative 4
Step-by-step explanation:
Show that the partition of G into left cosets of H is different from its partition into right cosets?
It is shown below that the partition of G into left cosets of H is different from its partition into right cosets when n ≥ 3.
How to prove right cosets?Let us first find the left cosets of H in G:
H = {1, s₀}
s₁H = {s₁, s₁s₀}
s₂H = {s₂, s₂s₀}
s₃H = {s₃, s₃s₀, s₂s₁, s₂s₁s₀}...
Now, find the right cosets of H in G:
H = {1, s₀}
Hs₁ = {s₁, s₀s₁}
Hs₂ = {s₂, s₀s₂}
Hs₃ = {s₃, s₀s₃, s₁s₂, s₀s₁s₂}...
Observe that the left cosets of H in G and the right cosets of H in G are not the same when n≥3. This is because s₁s₀ is not in H, but s₀s₁ is in H.
Therefore, the left coset s₁H is not the same as the right coset Hs₁. Similarly, s₂s₁s₀ is not in H, but s₀s₁s₂ is in H, so the left coset s₃H is not the same as the right coset Hs₃.
Thus, it is shown that the partition of G into left cosets of H is different from its partition into right cosets when n≥3.
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Males
Females
Total
The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d).
Nursing majors
Non-nursing
majors
1016
1728
2744
94
700
794
Question 8 of 11 >
Total
1110
2428
3538
(a) u puudumy L Sharon a un mar
P(being male or being nursing major) =
(Round to the nearest thousandth as needed.)
(b) Find the probability that the student is female or not a nursing major.
P(being female or not being a nursing major) =
(Round to the nearest thousandth as needed.)
(c) Find the probability that the student is not female or a nursing major.
P(not being female or being a nursing major) =
(Round to the nearest thousandth as needed.)
(d) Are the events "being male" and "being a nursing major mutually exclusive? Explain.
OA. No, because one can't be male and a nursing major at the same time.
OB. Yes, because there are 94 males majoring in nursing.
OC. Yes, because one can't be male and a nursing major at the same time.
This quiz: 11 point(s) possible
This question: 1 point(s) possible
C...
Answer: (a) The probability of being male or being a nursing major is the sum of the probabilities of being male and being a nursing major, minus the probability of being both male and a nursing major (since this intersection is counted twice):
P(being male or being nursing major) = P(male) + P(nursing major) - P(male and nursing major)
From the table, we have:
P(male) = 1110/3538 ≈ 0.314
P(nursing major) = 1016/3538 ≈ 0.287
P(male and nursing major) = 94/3538 ≈ 0.027
Therefore:
P(being male or being nursing major) ≈ 0.314 + 0.287 - 0.027 ≈ 0.574
Rounded to the nearest thousandth as needed, the probability of being male or being a nursing major is approximately 0.574.
(b) The probability of being female or not a nursing major is the sum of the probabilities of being female and not a nursing major:
P(being female or not being a nursing major) = P(female) + P(not nursing major)
From the table, we have:
P(female) = 2428/3538 ≈ 0.686
P(not nursing major) = 1728/3538 ≈ 0.489
Therefore:
P(being female or not being a nursing major) ≈ 0.686 + 0.489 ≈ 1.175
This probability is greater than 1, which is not possible. Therefore, we need to subtract the probability of being both female and a nursing major (which was counted twice):
P(being female or not being a nursing major) = P(female) + P(not nursing major) - P(female and nursing major)
From the table, we have:
P(female and nursing major) = 700/3538 ≈ 0.198
Therefore:
P(being female or not being a nursing major) ≈ 0.686 + 0.489 - 0.198 ≈ 0.977
Rounded to the nearest thousandth as needed, the probability of being female or not a nursing major is approximately 0.977.
(c) The probability of not being female or a nursing major is the complement of the probability of being female or a nursing major:
P(not being female or being a nursing major) = 1 - P(being female or being nursing major)
From part (a), we have:
P(being male or being nursing major) ≈ 0.574
Therefore:
P(not being female or being a nursing major) ≈ 1 - 0.574 ≈ 0.426
Rounded to the nearest thousandth as needed, the probability of not being female or a nursing major is approximately 0.426.
(d) The events "being male" and "being a nursing major" are not mutually exclusive, because there are 94 males majoring in nursing (as shown in the table). Mutually exclusive events cannot occur at the same time, but being male and a nursing major is a possible combination. Therefore, the correct answer is OB. Yes, because there are 94 males majoring in nursing.
Step-by-step explanation:
Which equation is the inverse of y = x² - 36?
Oy=± √√x +6
Oy=+√√x+36
O y=+√√x +36
Oy=+√√x²+36
Answer:
Step-by-step explanation:
Answer: B y = ±\(\sqrt{x+36}\)
Step-by-step explanation:
To find the inverse of any equation. Switch the x and the y then solve for y.
y = x² - 36 >switch variables
x = y² - 36 >add 36 to both sides
x+36=y² >take square root of both sides
y = ±\(\sqrt{x+36}\)
B