Answer:
4 would be $55.00 and 8 would be $75.00
Find the standard deviation given...5. value is 48, mean is 59, and z-score is -2.56. value is 156, mean is 145, and z-score is 1.8
5. Take into account that the z-score is given by the followin formula:
Z = (x - μ)/σ
where:
x: data point = 48
μ: mean = 59
σ: standard deviation = ?
Z: z-score = -2.5
Solve the formula for σ and replace the values of the rest of the parameters, as follow:
Z = (x - μ)/σ
σ = (x - μ)/Z
σ = (48 - 59)/(-2.5)
σ = -11/(-2.5)
σ = 4.4
6. In this case, you have:
x: data point = 156
μ: mean = 145
σ: standard deviation = ?
Z: z-score = 1.8
σ = (x - μ)/Z
σ = (156 - 145)/(1.8)
σ = 6.11
Los 1600 euros de alquiler de un terreno se reparten entre tres ganaderos que llevan alli a pastar sus ovejas. Como no tienen el mismo número de ovejas, deciden pagar proporcionalmente al número de ovejas de cada uno. Si el primero tiene 120 Ovejas,el segundo 72 y el tercero 68. ¿ Cuánto paga cada uno?
So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros
What is proportion?Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.
Here,
To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:
120 + 72 + 68 = 260
The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:
0.4615 x 1600 = 738.40 euros
Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:
0.2769 x 1600 = 443.04 euros
The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:
0.2615 x 1600 = 418.56 euros
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Complete question:
The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?
Translate the following word pharse into algebraic expression: Nine times the difference of 5 and Y
Answer:5-y x 9
Step-by-step explanation: 5-y times 9
Answer:
9 × 5-y maybe bc times means multiply and difference means subtract but sorry if u get it wrong
Someone please help me with this question
Answer:
The actual answer is 2.26, but since that is not an option, I am going to say that you should choose the very last answer at the bottom, π r².
Step-by-step explanation:
Answer:
(c) 4 in
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
Filling in the given values, we have ...
16π in² = πr²
Dividing by π gives ...
16 in² = r²
Taking the square root, we find ...
r = √(16 in²) = 4 in
The radius of the circle is 4 inches.
If an air conditioner is rated at 16000 BTU per hour, how many watts does it require? Round to the nearest 100 watts
The number of watts will be 4700 watts to the nearest 100 watt.
How to calculate the value?It should be noted that 1 watt equals to 3.41 Btu per hour.
In this case, the air conditioner is rated at 16000 BTU per hour.
Therefore, the number of watt will be:
= 16000/3.41.
= 4692
= 4700 watts to the nearest 100 watt.
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math math math math math math math
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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what are exchange rates?
Answer:
Step-by-step explanation:
Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
What is the sample space for one spin of this spinner?
OA. (RG, GP, PY, YR)
OB. (R, G, P, Y)
O C. (R, G, B, Y)
OD. (R, G, P, B, Y)
The sample space is (R, G, P, Y).(OB)
What is sample space?
A sample space is a collection of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”. A sample space may contain a finite number of outcomes which depends on the experiment.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
So here is 4 sections
Red(R), Green (G), Purple (P), Yellow(Y)
So there are 4 sections in sample space
The sample space for one spin of the spinner is (R, G, P, Y).
Hence, the sample space is (R, G, P, Y).
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Help!!!
Is this statement true or false?
p= {10, 20, 30, 40} is a solution to 7.4p < 74
O true
O false
Answer: It’s false I just took the test
Step-by-step explanation: Can I have Brainly pls:)
What is the volume of the pyramid?
A 17cm^3, 56cm^3, 84cm^3 or 168cm^3
Answer:
56cm2
Step-by-step explanation:
1÷3×4×6×7
=56cm2
lus
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income Progressive
Range ($) Tax Rate
2%
0 - 2000
2001 - 9000
5%
9001 and up
5.4%
Calculate the state income tax owed on a $60,000
per year salary.
tax = $[?]
hole dollar amount
Answer:
$3,144
Step-by-step explanation:
Based on your tax table, the tax on an amount x over 9000 will be ...
t(x) = 0.054(x -9000) +0.05(9000 -2000) +0.02(2000)
= 0.054x -9000(0.054 -0.05) -2000(0.05 -0.02)
= 0.054x -36 -60
= 0.054x -96
Then the tax on 60,000 will be
t(60000) = 0.054(60000) -96 = 3240 -96 = 3144
The state income tax owed on $60,000 is $3,144.
_____
Additional comment
The standard calculation can be simplified as shown above. The tax table can be reduced to ...
\(t(x)=\begin{cases}0.02x,&x\le2000\\0.05x-60,&20009000\end{cases}\)
A circle has radius 3.8 inches.
Using the approximate ≈ 3.14 approximate the circumference and area, rounded to the nearest
hundredth.
Area of circle with radius 3.8 is 45.34 inches²
Circumference of circle with radius 3.8 is 23.86 inch.
Define circle.A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given,
Dimensions of circle:
Radius = 3.8
Area of circle = πr²
Area of circle = 3.14 ×(3.8)²
Area of circle = 45.34
Area of circle with radius 3.8 is 45.34 inches²
Circumference of circle = 2 πr
Circumference of circle:
2 ×3.14 × 3.8
23.86
Circumference of circle with radius 3.8 is 23.86 inch.
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an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)
Answer:
5 batches per hour
Step-by-step explanation:
Find the lowest common denominator.
1 1 2
----------- , ------------ , -------------
(x+2)2 (x-2)2 x2-4
The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.
To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).
The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.
Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.
So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.
Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)
Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.
Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.
Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.
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Lydia ran 10 miles in 120 minutes how many did she ran per mile
Answer:
I think the answer would be 12
Answer:
12 minutes per mile
Sorry if I got it wrong
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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write an equation in point-slope form for the line through the given point with the given slope
(10,-9)m is -2
Answer:
Step-by-step explanation:
Point: 10,-9
k=-2
y=-2x+b
So: 9, -7
8,-5
7,-3
6,-1
5,1
4,3
3,5
2,7
1,9
0,11
y=-2x+11
Answer:
y + 9 = - 2(x - 10)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - 2 and (a, b ) = (10, - 9 ) , then
y - (- 9) = - 2(x - 10) , that is
y + 9 = - 2(x - 10)
Can you help? I'm just too lazy to answer it lol
Answer:
second answer should be corr3ect tell em if wrong
Step-by-step explanation:
If Elijah works between 240 and 249 hours during the summer, how much money will he earn? Write and solve two equations: one for the most amount and one for the least amount of money he could have earned.
The Hersey company is the largest US producer of chocolate. IN 2011, annual net sales were 6.1 billion dollars and were increasing at a continuous rate of 7% per year.(a) Find a formula for annual net sales, S, as a function of time, t, in years since 2011.(b) Estimate net sales in 2015. Round the answer to two decimal places.(c) Use a graph to estimate the year in which annual set sales are expected to pass 20 billion dollars.
The formula for the annual net sales of The Hershey Company is given by \(S(t) = 6.1 * (1.07)^t\), where t is the number of years since 2011. So, for example, if t = 4 (for 2015), the annual net sales would be \(6.1 * (1.07)^4 = 8.69\) billion dollars.
To calculate when annual net sales are expected to pass 20 billion dollars, we need to solve the equation \(6.1 * (1.07)^t = 20\) for t. This can be done by taking the natural logarithm of both sides of the equation and rearranging it, giving us \(t = ln(20/6.1)/ln(1.07) = 10.25\) years. Thus, it is expected that the annual net sales of The Hershey Company will pass 20 billion dollars in 2021.
The graph of the equation \(S(t) = 6.1 * (1.07)^t\)can be used to confirm the result. The graph shows that the annual net sales increase exponentially with time , and that the value of S(t) crosses the 20 billion dollar mark at around 2021.
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What's the inverse of ƒ(x) = x – 20?
Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20
What is the inverse symbol?A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.
Here,
Solve for y.
Replace y by f-1(x).
y=x-20
x=y-20
Solve for y,x = y-20
x+20
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Answer:
ƒ^(-1)(x) = x + 20
Step-by-step explanation:
To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.
Let's start by replacing ƒ(x) with y:
y = x - 20
Next, swap x and y:
x = y - 20
Now, solve for y by isolating it:
x + 20 = y
Therefore, the inverse of the function ƒ(x) = x - 20 is given by:
ƒ^(-1)(x) = x + 20
David cycled 4 laps on a bicycle path surrounding a lake. Each lap was the same length. If he cycled a total of 13.2 mi, what was the length of each lap around the lake? Write your answer in feet.
it's probably 17424 feet
In Exercises 7 and 8, write a proof.
7. Given: TV = UW, TU > VW
Prove: m m
Given statement solution is :- m <m<angle TVU <angle VWU this inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees, the contradiction proof is complete.
To prove that m <m<angle TVU <angle VWU, we can use the given information and the properties of angles formed by intersecting lines.
Given:
TV = UW (1)
TU > VW (2)
To Prove:
m <m<angle TVU <angle VWU
Proof:
Since TV = UW (given), we can conclude that <T and <U are corresponding angles.
Now, consider the triangle TVU. By the Triangle Sum Theorem, the sum of the measures of the interior angles in a triangle is 180 degrees. Therefore, we have:
<T + <V + <U = 180° (3)
Since <T and <U are corresponding angles, we can substitute their measures in terms of <m<angle TVU and <m<angle VWU:
<m<angle TVU + <V + <m<angle VWU = 180° (4)
From equation (4), we can isolate the terms <m<angle TVU and <m<angle VWU:
<m<angle TVU = 180° - (<V + <m<angle VWU) (5)
Now, let's focus on the triangle VWU. By the Triangle Inequality Theorem, the sum of the measures of any two sides of a triangle is always greater than the measure of the third side. Since TU > VW (given), we have:
TV + VW > TU (6)
Substituting TV = UW (from equation (1)), we get:
UW + VW > TU (7)
Now, consider the segment UV. By the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles. In this case, we have:
<m<angle TVU = <V + <m<angle VWU (8)
Combining equations (5) and (8), we have:
180° - (<V + <m<angle VWU) = <V + <m<angle VWU
Simplifying this equation, we get:
180° = 2(<V + <m<angle VWU)
Since the sum of two angles cannot exceed 180 degrees, we can conclude that:
180° - 2(<V + <m<angle VWU) > 0
Dividing both sides by 2, we have:
90° - (<V + <m<angle VWU) > 0
Adding (<V + <m<angle VWU) to both sides, we get:
90° > (<V + <m<angle VWU)
This inequality tells us that the sum of angles <V and <m<angle VWU must be less than 90 degrees. Therefore, we can conclude that:
m <m<angle TVU <angle VWU
Hence, the contradiction proof is complete.
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Question 11 (5 points) ✓ Saved Solve x² + 4x + 12 = 0 by completing the square. Ox= -2 + 2√2i, x=-2-2√/2i Ox= -2 +2i, x=-2-2/ O x = 0, -4 Ox= -2+ √2i, x=-2-√2i
The solution of the equation is x = -2±2i√2. The solution to the equation is found in the Sridharacharya formula.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x² + 4x + 12 = 0
The solution to the equation is found as;
x² + 4x + 12 = 0
The solution to the equation is;
\(\rm x=-b \pm \frac{\sqrt{b^2-4ac}}{2a} \\\\ \rm x=-4 \pm \frac{\sqrt{4^2-4\times 4 \times 1}}{2\times 4} \\\\\)
x = -2±2i√2
Hence the solution of the equation is x = -2±2i√2.
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Question 9 of 60
Which symbol correctly compares the fractions below? 3/7 ? 4/14
O A. =
B. >
O C. <
OD. None of these are correct.
SUBMIT
Given: ABCD is a trapezoid,
AB= 13, CD = 14,
BC = 5, and AD= 20.
Find: A
ABCD
Answer:
A=13×13
=169sqr.units
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.