The surface area of the cylinder is 603.19 square meters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Radius, r = 8 meters
Height, h = 4 meters
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 8 * (8 + 4)
Evaluate
Surface area = 603.19
Hence, the surface area is 603.19 square meters
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Elia owns 2/5 of a cross fit training company. If the company is worth $157,000, what is the value of Elia's share of the
business. Round to the nearest dollar. Do not include a dollar sign in your answer.
Step-by-step explanation:
To calculate the value of Elia's share in the business, we need to multiply the company's worth by the fraction representing Elia's ownership.
Here's the calculation:
(2/5) * $157,000 = $62,800
So, the value of Elia's share in the business is approximately $62,800.
Answer:
His share is 62800 dollars
Step-by-step explanation:
You would divide 157000 by 5 and then multiply your answer by 2.
Hurry! Figure the batting averages
The batting average for Brett is of 0.25 = 25%.
How to obtain the batting average?The batting average is obtained applying the proportions in the context of the problem.
A proportion is applied as the batting average is given by the division of the number of hits by the number of at bats.
Brett got 10 hits in 40 at bats, hence his batting average is calculated as follows:
10/40 x 100% = 0.25 x 100% = 25%.
From the image given at the bottom, we have that he got 10 hits on 40 at bats, hence the batting average calculated above is of 25%.
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Sm answer this asap 100 points.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
An estimated 3,042 people in attendance would prefer relish on a hot dog.
Given that;
For a recent football game of 8,450 in attendance,
And, 150 people were asked for they prefer on a hot dog.
Now, For number of people in attendance would prefer relish on a hot dog, we can use the proportion of people in the sample who preferred relish:
By proportion we get;
x = (54/150) x 8450
x = 54 * 56 1/3
x = 3042
Therefore, An estimated 3,042 people in attendance would prefer relish on a hot dog.
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The volume of a gas was measured as the temperature was increased from 173 K to
423 K in 50 K intervals. The gas volumes recorded, starting at 173 K, were 16, 21, 26, 30, 36, and 40 cm . Determine whether the data is best described by an increasing or decreasing function, and whether it is linear or exponential. Find a regression equation.
The data is best described by an increasing function. The regression equation is y =0.0965x - 0.61.
Here is a table of the data:
Temperature (K) Gas Volume (cm³)
173 16
223 21
273 26
323 30
373 36
423 40
The data is best described by an increasing function, and it is likely to be linear since the volume of the gas increases uniformly with the temperature.
Let x be the temperature and y be the volume of the gas.
The slope is given by (nΣxy - ΣxΣy) / (nΣx² - (Σx)²),
where n is the number of data points, Σxy is the sum of the products of x and y, Σx is the sum of x, Σy is the sum of y, and Σx² is the sum of the squares of x.
The y-intercept is given by (Σy - bΣx) / n, where b is the slope.
Using the data, we have n = 6, Σx = 17788, Σy = 169, Σxy = 4225, and Σx² = 43750.
Substituting these values into the formulas gives the slope b = 0.09657 and the y-intercept a = -0.61.
Therefore, the regression equation is y =0.0965x - 0.61.
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PLS HELP ASAP I WILL GIVE BRAINLIEST GEOMETRY
Answer: A. 32
Step-by-step explanation:
Rule: That if an angle is created on the end of circle The arc that it creates is 2 times the angle.
arc AX = 2 (<B)
arc AX = 2(56)
arc AX = 112
Rule: The angle of 2 secants = 1/2 (outer arc - inner arc)
<C = 1/2 (arc AB - arc AX)
<C = 1/2 ( 176 - 112)
<C = 1/2 (64)
<C = 32 >A
The triangle below is isosceles. Find the length of side x to the nearest tenth.
The length of side x to the nearest tenth is equal to 2.4 units.
What is an isosceles triangle?In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length (side lengths) and two (2) equal angles.
This ultimately implies that, an isosceles triangle comprises two (2) side lengths that are equal and two (2) angles with the same magnitude.
Therefore, we would apply Pythagorean theorem in order to find the length of side x as follows;
x² + x² = (√11)²
2x² = 11
x² = 11/2
x² = 5.5
x = 2.4 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the probability?
The true statements regarding the probability are:
It is likely that the bag has a black marbleIt is not unlikely that the bag has at least one pink marble (equivalently, it is likely that the bag has at least one pink marble)How to explain the probabilityBased on the given information, it is likely that the bag has at least one black marble (with a probability of 0.1). It is not certain or impossible, as the probability is not 0 or 1.
It is not certain or unlikely that the bag has at least one pink marble, as the probability is not 0 or 1. However, the probability of the bag having at least one pink marble is relatively high (0.79), so it is more likely than not that the bag has a pink marble.
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Convert 1110100 base 2 to base 10
Step by step explanation
What is the area?
Write your answer as a fraction or as a whole or mixed number.
51 ft
10
2 º/ ft
square feet
The area of the rectangle is 1632/3 square feet.
To calculate the area, we need to multiply the length and width of the given rectangle. The length is 51 feet, and the width is 10 2/3 feet, which can be expressed as an improper fraction as 32/3 feet.
Multiplying these values, we have:
Area = length × width
= 51 ft × (32/3) ft
= (51 × 32)/(3)
= 1632/3 square feet
So, the area of the rectangle is 1632/3 square feet.
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A cylinder has the height of 12 inches and radius of 7 inches what is the volume
Answer:
588π
Step-by-step explanation:
Volume of cylinder = π r ² h
= π (7)² (12)
= 588π
A box contains 12 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below.
a. All are defective
b. None are defective
Answer:
a. The probability that all 5 selected transistors are defective is 0.0024 or 0.24%.
To calculate this probability, we use the formula for the probability of the intersection of independent events:
P(all 5 defective) = P(defective) x P(defective) x P(defective) x P(defective) x P(defective)
where P(defective) = 5/12 for each transistor.
Plugging in the values, we get:
P(all 5 defective) = (5/12) x (5/12) x (5/12) x (5/12) x (5/12) = 0.0024
b. The probability that none of the selected transistors are defective is 0.163 or 16.3%.
To calculate this probability, we use the complement rule:
P(none defective) = 1 - P(at least one defective)
To calculate P(at least one defective), we can use the complement rule again:
P(at least one defective) = 1 - P(none defective)
So, we need to find P(none defective) first:
P(none defective) = P(not defective) x P(not defective) x P(not defective) x P(not defective) x P(not defective)
where P(not defective) = 7/12 for each transistor.
Plugging in the values, we get:
P(none defective) = (7/12) x (7/12) x (7/12) x (7/12) x (7/12) = 0.163
Then, we can find P(at least one defective):
P(at least one defective) = 1 - P(none defective) = 1 - 0.163 = 0.837
Finally, we can find P(none are defective) using the complement rule:
P(none defective) = 1 - P(at least one defective) = 1 - 0.837 = 0.163.
What is 71% of 1,000
Answer:
710
Step-by-step explanation:
Which expression is equivalent to (2x – 5)(x + 9)?
Answer:
[tex]2x^{2} +13x-45[/tex]
Step-by-step explanation:
By using FOIL method.
Hurry! Lyne bought a jacket for 39$ with 29% off. How much did she pay for the jacket without adding tax? Ty!
Answer:
$27.69
Step-by-step explanation:
39 - (39)(0.29) = 39 - 11.31 = 27.69
What do you know about the graphs of polynomials with positive end behavior compared to the graphs of polynomials with negative end behavior?
If "positive" end behavior:
1. The graph hits the x-axis
2. The arrows point in opposite directions
3. The arrows point in the same direction
4. The right arrow is up
5. The graph hits the y-axis
6. The right arrow is down
If "negative" end behavior:
1. The graph hits the x-axis
2. The right arrow is down
3. The graph hits the y-axis
4. The right arrow is up
5. The arrows point in the same direction
6. The arrows point in opposite directions
The correct statements are:
If "positive" end behaviour:
The arrows point in the same direction.
The right arrow is up.
The graph hits the y-axis.
If "negative" end behaviour:
The arrows point in opposite directions.
The right arrow is down.
The graph hits the X-axis.
In mathematics, a graph is a visual representation of a set of data, which consists of points, called vertices or nodes, and lines connecting them, called edges or arcs.
Graphs are often used to represent mathematical functions, data sets, or relationships between objects, and they can be used to model real-world phenomena.
Graphs can be drawn on a coordinate plane or in a more abstract form, and they can be used to analyze and understand complex systems and relationships.
The correct statements are:
If "positive" end behaviour:
The arrows point in the same direction.
The right arrow is up.
The graph hits the y-axis.
If "negative" end behaviour:
The arrows point in opposite directions.
The right arrow is down.
The graph hits the X-axis.
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−9, −4, 1, 6, .. aremetric or geometric
The revenue R
from the sale of x
cameras is given by R=24x−x2.
The cost C
of producing x
cameras is given by C=30+13x.
How many cameras must be produced and sold in order to break even? If there is more than one break-even point, separate the answers with commas.
In order to break even, either 5 cameras or 6 cameras must be produced and sold.
Understanding Revenue and Break-even pointAt break-even point, revenue (R) equal is set to equal the cost (C)
Given that:
R = 24x - x².
C = 30 + 13x.
where
R is revenue and
C is the cost
Setting R equal to C:
24x - x² = 30 + 13x
Rearranging the equation:
x² - 11x + 30 = 0
Now, we can solve this quadratic equation to find the break-even point(s).
Factoring the quadratic equation:
(x - 6)(x - 5) = 0
Setting each factor equal to zero:
x - 6 = 0 ==> x = 6
x - 5 = 0 ==> x = 5
Therefore, the break-even point occurs when x = 6 or x = 5.
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Sam just bought a refrigerator for 1058. He paid 211.40 in a down payment and will pay the rest in 6 equal installments. How much does he need to pay for each installment?
The amount Sam needs to pay in each installment is $141.1
How much does he need to pay for each installment?From the question, we have the following parameters that can be used in our computation:
Cost of refrigerator = 1058
Down payment = 211.40
Number of equal installments = 6
Using the above as a guide, we have the following:
Each installment = (Cost of refrigerator - Down payment)/Number of equal installments
substitute the known values in the above equation, so, we have the following representation
Each installment = (1058 - 211.40)/6
Evaluate
Each installment = 141.1
Hence, the amount in each installment is $141.1
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PLEASE HELP
Which expressions are equivalent to the one below? Check all that apply.
27^x/9^x
How many yards are equivalent to two miles
Answer:
2 miles = 3,520 yards
Step-by-step explanation:
You multiply the length value by 1,760.
3520 yards is equivalent to 2 miles.
Hope this helped! Have a nice day. :)Round 473,615 to the nearest hundred
Rounding 473,615 to the nearest hundred gives us 473,600.
We have,
Rounding a number to the nearest hundred means that you are looking at the digit in the tens place of the number.
If that digit is 5 or greater, you round up the digit in the hundreds place, and if it is less than 5, you keep the digit in the hundreds place the same.
In the case of 473,615, the digit in the tens place is 1, which is less than 5. So we keep the digit in the hundreds place (3) the same and round the remaining digits to zero.
Thus,
Rounding 473,615 to the nearest hundred gives us 473,600.
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What is the length of C,D?
lengths:
a (-9,-12)
b (6,-12)
c (9,3)
d (-6,3)
Answer:
the length of C is 6, the length of D is 9,
Step-by-step explanation:
Help me with this question please if you can thank you so much
Using simplex method to maximize the given function is (x, y, z) = (17.33, 1.33, 0) and f = 35.67.
How to solve linear programming?To solve the given linear programming problem using the simplex method, follow these steps:
Step 1: Convert the problem into standard form.
Step 2: Set up the initial simplex tableau.
Step 3: Perform iterations of the simplex method.
Step 4: Determine the solution and the maximum value of the objective function.
Step 1: Convert the problem into standard form:
Introduce slack variables to convert the inequality constraints into equations:
Maximize f = 7x + 11y + 4z
Subject to:
3x + 5y + 4z + s1 = 30
3x + 2y + s2 = 4
x + 2y + s3 = 8
All variables are nonnegative: x ≥ 0, y ≥ 0, z ≥ 0, s1 ≥ 0, s2 ≥ 0, s3 ≥ 0.
Step 2: Set up the initial simplex tableau:
Construct the initial simplex tableau using the coefficients of the variables and the right-hand side values of the equations is attached (tableau 1).
Step 3: Perform iterations of the simplex method:
Apply the simplex method by selecting the most negative value in the bottom row (the objective row) as the pivot column and the minimum ratio test to determine the pivot row.
Iteration 1:
Pivot column: y (since it has the most negative coefficient in the bottom row)
Pivot row: s2 (minimum ratio: 4/2 = 2)
Perform row operations to make the pivot element 1 and other elements in the pivot column zero:
Divide the pivot row by the pivot element (2/2 = 1/1 = 1).
Subtract appropriate multiples of the pivot row from other rows to make the elements in the pivot column zero.
Updated tableau after iteration 1 attached (tableau 2).
Iteration 2:
Perform row operations to make the pivot element 1 and other elements in the pivot column zero:
Divide the pivot row by the pivot element (3/2).
Subtract appropriate multiples of the pivot row from other rows to make the elements in the pivot column zero.
Updated tableau after iteration 2 also attached (tableau 3).
Iteration 3:
Since all coefficients in the bottom row are non-negative, the optimal solution has been reached. We can read the values of variables x, y, z, and the objective function f directly from the tableau.
The optimal solution is:
x = 17.33
y = 1.33
z = 0
f = 35.67
Therefore, (x, y, z) = (17.33, 1.33, 0) and f = 35.67.
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Help pls! ( Don’t mind this text)
The value of the expression 10 ÷ 40 using the long division method will be 0.25.
The expression is given below.
10 ÷ 40
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The division is given below by the long division method. Then
40 ) 100 ( 0.25
- 80
200
- 200
0
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O is the center of the regular decagon below. Find its area. Round to the nearest tenth if necessary. 14
The area of the regular decagon with a radius of 14 units is approximately [tex]195.7 unit^{2}[/tex]
To find the area of a regular decagon, we need to know either the side length or the apothem (the perpendicular distance from the center to a side). In this case, you have provided the radius of the decagon, which is 14 units.
For a regular decagon, the apothem (a) is related to the radius (r) by the formula:
[tex]a = r * cos(\pi/10)[/tex]
Let's calculate the apothem using the given radius:
[tex]a = 14 * cos(\pi/10) =12.149[/tex]
Now, we can calculate the area (A) of the regular decagon using the formula:
[tex]A = (5/2) * a^2 * tan(\pi/10)[/tex]
[tex]A = (5/2) * (12.149)^2 * tan(\pi/10) =195.7[/tex]
Rounding to the nearest tenth, the area of the regular decagon with a radius of 14 units is approximately [tex]195.7 unit^{2}[/tex].
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See photo how to use distributive property of multiplication to simplify the expression.
The simplest form of the expression by the use of the distributive property is;
[tex]12x^2 + 24x + 9[/tex]
What is the distributive property?In mathematics, the distributive property, which explains how multiplication interacts with addition or subtraction, is a fundamental concept. By allocating or multiplying a number or term to each term enclosed by a set of parenthesis, it enables you to simplify expressions.
The distributive property is frequently employed in algebraic expressions, equation simplification, and polynomial operations. By spreading out the multiplication over addition or subtraction, it aids in simplifying complex statements and makes calculations easier to understand.
We know that;
[tex]3(4x^2 + 8x + 3)\\12x^2 + 24x + 9[/tex]
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In a recent poll, 130 people were asked if they liked dogs, and 65% said they did. Find the Margin of Error for this poll, at the 99% confidence level. Give your answer to four decimal places if possible.
We can say with 99% confidence that the true proportion of people who like dogs is within 8.44 percentage points of the sample proportion (65%).
To find the Margin of Error (MoE) for a poll, we need to use the formula:
MoE = [tex]z \times (\sqrt{(p \times q / n)} )[/tex]
where:
z is the z-score associated with the desired confidence level (99% confidence level corresponds to z = 2.576)
p is the proportion of people who said they liked dogs (0.65 in this case)
q is the complement of p (i.e., q = 1 - p)
n is the sample size (130 in this case)
Plugging in the values, we get:
MoE = [tex]2.576 \times (\sqrt{(0.65 \times 0.35 / 130)} )[/tex] ≈ 0.0844
Rounding to four decimal places, the Margin of Error is approximately 0.0844. Therefore, we can say with 99% confidence that the true proportion of people who like dogs is within 8.44 percentage points of the sample proportion (65%).
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Please help hurry! will give brainliest
Answer: 15/38 or 0.39473684210526315789473684210526
Step-by-step explanation:
Sorry if I'm wrong but I hope this helps! :)
The following figure shows a cube. Which expression represents the surface area of the cube? Choose 1 answe B 6-10 5 5-5-5 25 + 25 + 25 + 25 + 25 + 25 5+5+5+5+5+5
The expression that represents the surface area of the cube is 25 + 25 + 25 + 25 + 25 + 25
Calculating the expression that represents the surface area of the cube?From the question, we have the following parameters that can be used in our computation:
The cube
The side length of the cube is
Side length = 5
The surface area of the cube is calculated as
SA = 6 * Side length²
So, we have
SA = 6 * 5²
Expand
SA = 6 * 25
Further expand
SA = 25 + 25 + 25 + 25 + 25 + 25
Hence, the expression that represents the surface area of the cube is 25 + 25 + 25 + 25 + 25 + 25
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Complete question
The following figure shows a cube. Which expression represents the surface area of the cube? Choose 1 answer
(a) 5 5 - 5 - 5
(b) 25 + 25 + 25 + 25 + 25 + 25
(c) 5 + 5 + 5 + 5 + 5 + 5
The figure is attached
It takes 14 hours for a tap with a flow of 18 litres per minute to fill a reservoir with water. How long will it take if the flow is reduced to 7 litres per minute? I need formulas
If the flow rate of the tap is reduced to 7 litres per minute, it would take 36 hours to fill the reservoir.
Let's use the formula:
time = volume/flow rate
where volume is the volume of the reservoir and flow rate is the flow rate of the tap.
Let V be the volume of the reservoir.
With a flow of 18 litres per minute, we have:
14 hours = V / 18 L/min
Solving for V, we get:
V = 14 hours x 18 L/min = 252 L
Now, let's find the time it takes to fill the same reservoir with a flow of 7 litres per minute:
time = V / 7 L/min
Substituting V with 252 L, we get:
time = 252 L / 7 L/min = 36 hours
Therefore, it will take 36 hours to fill the reservoir with a flow rate of 7 litres per minute.
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