The weighted average of the average weights of each individual subgroup, where the weights represent the population proportions in each subgroup, provides the average weight of the population's constituents.
This can be mathematically represented as: average population weight = _(i=1) r P i * w i, where P i is the population's share of subgroup I and w i is the weight of the subgroup's average members.
For instance, if the population is divided into three subgroups with proportions of P1 = 0.2, P2 = 0.5, and P3 = 0.3, and the subgroups' average weights are P1 = 150 lbs, P2 = 200 lbs, and P3 = 175 lbs, respectively, then the population's average weight is P1 * 150 lbs 180 lbs is equal to +0.5 * 200 lbs + 0.3 * 175 lbs.
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the difference between the cost of five erasers and two pencils is 10$. if the price of a pencil is 1$ more than the price of an eraser. find the cost of eraser (x) and pencil (y)
Separately.
a) explore two different ways to solve the following system of linear equations represent the cost of eraser and pencil:
5x-2y=10
X-y= -1
Answer:
\(5x - 2y = 10\) and \(y = 1 + x\)
\(5x = 10 + 2y\) and \(y = 1 + x\)
Step-by-step explanation:
Represent the cost of pencil with y and erasers with x.
So: The first statement implies that:
Cost of 5 erasers = 5x
Cost of 2 pencils = 2y
Difference: 5x - 2y = 10
The second statement implies that:
Pencil = 1 more than eraser.
i.e.
y = 1 + x
So, we have the following system of equations (1)
\(5x - 2y = 10\)
\(y = 1 + x\)
Another way of representing the equations is: (2)
\(5x = 10 + 2y\)
\(y = 1 + x\)
Find the selling price of a $65 item after a 40% markup.
the selling price is $ 91
Explanation
to solve this we can use a rule of three
let x represents the selling price
hence
if
\(\begin{gathered} 100\text{ \%}\Rightarrow\text{ \$ 65} \\ \text{then} \\ 140\text{ \%}\Rightarrow\text{ x} \end{gathered}\)hence
the proportion is
\(\frac{100}{65}=\frac{140}{x}\)solve for x
\(\begin{gathered} \frac{100}{65}=\frac{140}{x} \\ 100x=140\cdot65 \\ x=\frac{140\cdot65}{100} \\ x=91 \end{gathered}\)therefore, the selling price is $ 91
Find angles A, B, C and D
Answer: a=101 b=79 c=83 d=97
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
Theorem 6.1A states that if a quadrilateral is a Parallelogram, then it’s opposite sides are
Answer:
congruent
Step-by-step explanation:
The quotient of a number and 3 is less than 24
Answer:
6 is the answer
Step-by-step explanation:
5. Ms. Sellers flew out to Utah to take her sons to college. If she flew 245.6
miles in 5.4 hours. How far did she fly in 1 hour?*
Answer:
Step-by-step explanation:
distance flown in 5.4 hours = 245.6 miles
distance flown in 1 hour = 245.6/5.4
= 45.481 miles
Hope this helps
plz mark as brainliest!!!!!
Answer: 49.12 miles
Step-by-step explanation:
You have to divide 245.6 by 5.4
Name Kuta Software - Infinite Algebra 2 Graphing Absolute Value Equations Graph each equation. 1) y = |x-1| De 52.02 2) yra -3 -2 1
Question:
Graph
Solution:
To solve this problem, we use the function transformations on the value absolute function (the original function) :
Consider the value absolute function f(x) = I x I :
Now, if we apply a horizontal shift of the original function f(x) = I x I, such that we want to shift the original function to the right 2 units, we get the function f(x) = I x-2 I, and its graph is:
Finally, if we reflect the above graph in the x-axis, we must multiply it for -1. Then, we get the function f(x) = -I x-2 I, and its graph is:
Then, the correct graph of the given function is:
Anyone that can answer it right gets 30!
Answer:
First
Step-by-step explanation:
1.
\(\frac{48}{8} + 2^{3} = 6 + 8 = 14\)
\(5 + 3^2 = 5 + 9 = 14\)
2.
\(9^{2} - 7^{2} = 81 - 63 = 18\)
\(\frac{20}{7-2} = \frac{20}{5} = 4\)
3.
\(\frac{150}{5^2} = \frac{150}{25} = 6\)
\(30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2\)
4.
\(\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5\)
\(22 - 2 * 3 = 22 - 6 = 16\)
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
\(\frac{150}{5^2}\) = \(\frac{150}{25}\) = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
\(\frac{8(7)}{2}\) - 12 = \(\frac{56}{2}\) - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
Insert Parentheses to make the equality true. 1+2x3+4x5=29
Answer:
((1+2)x3) + (4x5) = 29
Step-by-step explanation:
Since 4x5 = 20 and 3x3 = 9, and 9 + 20 = 29, we put parenthesis around 1+2,
we get,
((1+2)x3) + (4x5) = 29
This is true because,
(3x3) + (4x5) = 29
(9) + (20) = 29
29 = 29
suface area of cuboid 9 5 4
The cuboid in question has a surface area of 202 square units.
We must sum together the areas of all six faces to determine a cuboid's surface area.
The dimensions of the given cuboid are:
length (l) = 9 units
width (w) = 5 units
height (h) = 4 units
The area of each face is given by:
Top and bottom faces:\(lw = 9 * 5 = 45\) square units each
Front and back faces: \(lh = 9 *4 = 36\) square units each
Left and right faces: \(wh = 5 * 4 = 20\) square units each
Therefore, the total surface area of the cuboid is:
\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)
Hence, the surface area of the given cuboid is 202 square units.
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Study this table.
x
y
–3
–2
–2
0
0
4
4
12
Which best describes the function represented by the data in the table?
linear with a common ratio of 2
linear with a common first difference of 2
quadratic with a common ratio of 2
quadratic with a common first difference of 2
cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
math math math math math
Answer:
6
Step-by-step explanation:
#1: 4x - 8 = 16 (You want to remove -8)
#2: 4x = 24 (In order to remove -8 you need to cancel it out, add 8 to -8, also add 8 to 16)
#3: 4x = 24 (Now you need to get the x by itself, divide 4x by 4 to only get x and also divide 24 by 4)
#4: x = 6
Rule of Thumb: If you do something to one side, to it to the other :)
Answer:
d
Step-by-step explanation:
d
I need help with this
The point (2, 48) means in this context: Cesar and Camden are both 48 kilometers away from home after 2 hours.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Cesar and Camden are brothers and live at the same house.
Cesar is 80 kilometers away from home and bikes towards home at a rate of 16 kilometers per hour.
Camden is 20 kilometers away from home and keeps walking away from home at a rate of 14 kilometers per hour.
You found that the point of intersection on the graph is (2, 48),
and you solved algebraically to find that x=2 and y = 48.
Cesar and Camden are both 48 kilometers away from home after 2 hours.
Therefore, Cesar and Camden are both 48 kilometers away from home after 2 hours.
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Explain the difference between an indefinite integral and a definite integral.
A) An indefinite integral, after evaluating it at the limits of integration, results in a particular number. A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
B) A definite integral, after evaluating it at the limits of integration, results in a particular number. An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
C) An indefinte integral cannot always be integrated analytically and may require numeric integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration.
D) A definite integral is defined and continuous over the interval of integration and has finite limits of integration. An indefinite integral is also defined and continuous over the interval of integration, but may have as a limit of integration.
The answer is A.
An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).
A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫
a
b
f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.
In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.
I solved it myself and my result is (n+1)/n. Why is that 1/2 there? An explanation would be great if possible. Thanks!
Answer:
The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!
Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.
Hope it was clear explanation.
EASY URGENT MATH EXERCISE
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
a= -5
b = 2
c = -7
\(a^{2}\) + b - c
\((-5)^{2}\) + 2 - (-7)
= 25 + 2 +7
= 34
:)
Please hurry. It’s due in 20 minutes
Answer:
root(x+6) +3
Step-by-step explanation:
so you see that it is moved 2 left and 5 up
so root (x+6) +3
Barney worked 14 hours last week and earned a total of $96. His job as a lifeguard pays $8 per hour, and his job as a cashier at the hot dog stand on the beach pays only $6 per hour. How many hours did he work at each job?
Answer: 24 hours
Step-by-step explanation:
angles x and y are supplementary angle x measures 116.89 and angle y measures (m-10) find m Y
If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
It is given that the angles x and y are supplementary angles. Then the equation is given as,
x + y = 180
If the measure of the angle x is 116.89 degrees. Then the measure of the angle y is calculated as,
x + y = 180
116.89 + y = 180
y = 180 - 116.89
y = 63.11 degrees
If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.
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Which graph shows the new position of the rectangle after a translation?
The graph that shows the new position of the rectangle after a translation is; Option C
How to interpret Translation in Transformation?When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.
Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.
In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.
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how to solve this separable differential equation?
The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
What is a differential equation?Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.
The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).
Now, multiplying both sides by dx we,
\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).
Dividing both sides by \(2^{\sqrt{x}}\) we have,
\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).
\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
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I WILL GIVE YOU BRAINLIEST IF YOU ANSWER CORRECTLY.........Please help
\(0.0008 = 8 \times 10 {}^{ - 4} \\ \\ \frac{8 \times 10 {}^{ - 4} }{2 \times 10 {}^{ - 6} } \\ \\ 4 \times 10 {}^{6 - 4} \\ \\ 4\times 10^2\)
Math Homework: Unit 3 Assignment
8
8
4
NI
-27
which system of linear inequalities is graphed?
5. There are 400 students in the senior class at Oak Creek High School. All 2 points
of these students took the SAT. The distribution of their SAT scores is
approximately normal. The number of students who scored within 2
standard deviations of the mean is approximately *
-3
-2
0
1
2.
3
Answer:
The number of students who scored within 2 standard deviations of the mean is 380.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
The number of students who scored within 2 standard deviations of the mean is approximately
By the Empirical Rule, 95% of the students scored within 2 standard deviations of the mean
Out of 400
0.95*400 = 380
The number of students who scored within 2 standard deviations of the mean is 380.
Answer: 380
Step-by-step explanation: 95% of 400 is 380
A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
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The physician’s order reads to administer Lasix 80 mg PO STAT. You have Lasix 20 mg tablets on hand. How many tablets will you administer to the patient ?
The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.
Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.
Number of tablets = Prescribed dose / Dosage strength per tablet
Number of tablets = 80 mg / 20 mg
Number of tablets = 4 tablets
Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.
It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.
Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.
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The following information regarding a dependent variable (Y) and an independent variable (X) is provided to help you fill in the following blanks.
Y X
4 2
3 1
4 4
6 3
8 5
SSE = 6
SST = 16
a. The least squares estimate of the Y intercept is .
b. The least squares estimate of the slope is .
c. The coefficient of determination is .
d. The coefficient of correlation is .
e. The MSE is .
The following information regarding a dependent variable (Y) and an independent variable (X) is provided in the following blanks in the image below.
A dependent variable is the variable that changes as a result of the independent variable manipulation. It's the outcome you're interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: Response variables (they respond to a change in another variable) a) least square estimate of the Y intercept =2 b)least squares estimate of the slope is =1 c)coefficient of determination is 1-SSE/SST =0.625 d)coefficient of correlation is =(0.625)1/2 =0.7906 e) MSE =SSE/(n-2) =6/(5-2) =2
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