The radius of the cylinder is 2.25 feet.
To find the radius of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.
400 = 3.14 r² x 25
Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:
r² = 400 / (3.14 x 25)
r² ≈ 5.08
Taking the square root of both sides to solve for r, we get:
r ≈ √5.08
r ≈ 2.25
Therefore, the radius of the cylinder is 2.25 feet.
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by what percent will a fraction change if its numerator is decreased by 60% and its denominator is decreased by 20%
Given f(x) = log2 (x+2), complete the table of values for the function -f(x) - 3. Show your work.
Answer:
-6
Step-by-step explanation:
If we convert the first function to the second form we get f(x) = -log2 (x+2) - 3. If we replace x with 6 we get ( -log2 8 ) -3. -log2 8 is equal to -3. -3 - 3 = -6.
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
Lucy earns 400 a month in salary and she receives a commission of $18 for each applying she sells if last month Lucy earned a total of 886 how many appliances did she sell
She sold 27 appliances.
Given,
Lucy earns $400 a month in salary and she receives a commission of $18.
Last Month income = $886
Now,
Equation:
Monthly income = Fixed income + income from commission
$886 = $400 + income from commission
Income from commission = $486
Commission for one appliance = $18
So,
Total items sold for the commission of $486,
$486/$18
= 27
Hence total 27 appliances lucy sold.
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how to find x values
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find
What is the meaning of "inductive set"?
In mathematics, an inductive set is a collection of elements that satisfies certain properties based on the principle of mathematical induction.
What is an inductive setIt is a fundamental concept in set theory and mathematical reasoning.
The principle of mathematical induction states that if we have a property or statement that holds for a base case (usually the smallest element or a specific starting point) and if we can prove that whenever the property holds for a particular element, it also holds for the next element, then the property holds for all elements in the set.
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In a health club, research shows that on average, patrons spend an average of 42.5 minutes
on the treadmill, with a standard deviation of 4.8 minutes. It is assumed that this is a normally
distributed variable. Find the probability that randomly selected individual would spent
between 30 and 40 minutes on the treadmill.
0,30
0.70
0.40
Less than 1%
Answer:
0.30
Step-by-step explanation:
To find the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill, we need to calculate the z-scores corresponding to these values and then use the z-table or a statistical calculator to find the probability.
First, we calculate the z-scores using the formula:
z = (x - μ) / σ
where x is the value (in this case, 30 and 40), μ is the mean (42.5), and σ is the standard deviation (4.8).
For x = 30:
z = (30 - 42.5) / 4.8 ≈ -2.604
For x = 40:
z = (40 - 42.5) / 4.8 ≈ -0.521
Next, we look up the probabilities associated with these z-scores in the z-table or use a statistical calculator.
From the z-table or calculator, the probability corresponding to z = -2.604 is approximately 0.0047, and the probability corresponding to z = -0.521 is approximately 0.3015.
To find the probability between 30 and 40 minutes, we subtract the probability associated with z = -2.604 from the probability associated with z = -0.521:
P(30 ≤ x ≤ 40) = P(z = -0.521) - P(z = -2.604)
≈ 0.3015 - 0.0047
≈ 0.2968
Therefore, the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill is approximately 0.2968, which is equivalent to 29.68%. Rounding up we will get 0.30.
Hope this helps!
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
If A={o,b,s,e,r,v,a,n,t,l,y} and U={a,b,c,d,e,f,g,h,I,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z} find [A’]
Answer:
[A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}
Step-by-step explanation:
[A'] is read as the set of A complement, which is all the elements from the universal set that are not contained in set A.
Therefore, [A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}
For the athletic banquet one adult ticket cost is $15.00 and one student ticket cost $10.00 One hundred forty were sold for a total of $1600
What is the sum of 104, 25, -11 to come of it
Answer:
118
Step-by-step explanation:
104+25+(-11)
129-11
118
Therefore, our answer is 118
Fill in the table using this function rule y= - 2x + 3
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
What is the average of the following numbers? 2, 5,8,1
Answer: The average is a descriptive statistic that provides an idea of the central or typical value in a dataset
Step-by-step explanation:
The average of the numbers is 4
The given parameters are;
The numbers; 2, 5, 8, and 1
The required parameter
To find the average;
Solution:
The average is given by the sum of the data divided by the size or count of the data points
Therefore, the average of the given numbers is given as follows;
Average, x= 2+5+8+1/4=4
The average of the numbers, = 4
A dart is dropped above the target shown in the diagram. The dart has an equal chance of landing on any spot on the target.
What is the probability the dart will land in the shaded square on the target? Round to the nearest hundredth. Enter the answer in the box.
Answer: 0.04
Step-by-step explanation:
The area [tex]A_1[/tex] of the square target with side length [tex]s_1=20 cm[/tex] is:
[tex]A_1=s_1^{2}=20^{2}=400[/tex]
The area [tex]A_2[/tex] of the shaded square with side length [tex]s_2=4cm[/tex] is:
[tex]A_2=s_2^{2}=4^{2}=16[/tex]
So, the probability that the dart will land in the shaded square on the target is:
[tex]\frac{A_{2}}{A_{1}}=\frac{16}{400}=0.04[/tex]
Jim is participating in a 6-day cross-country biking challenge. He biked for 59, 52, 66, 45, and 68 miles on the first five days. How many
miles does he need to bike on the last day so that his average (mean) is 59 miles per day?
miles
Answer:
Jim needs to bike 64 miles on the last day to maintain an average of 59 miles per day.
Step-by-step explanation:
To find out how many miles Jim needs to bike on the last day to maintain an average of 59 miles per day, we can use the concept of averages.
The total distance Jim needs to bike over the 6 days to maintain an average of 59 miles per day can be calculated as follows:
Total distance = Average distance per day × Number of days
Total distance = 59 miles/day × 6 days = 354 miles
Jim has already biked a total of 59 + 52 + 66 + 45 + 68 = 290 miles over the first five days.
To find out how many miles Jim needs to bike on the last day, we subtract the distance he has already biked from the total distance needed:
Distance needed on the last day = Total distance - Distance already biked
Distance needed on the last day = 354 miles - 290 miles = 64 miles
Therefore, Jim needs to bike 64 miles on the last day to maintain an average of 59 miles per day over the 6-day cross-country biking challenge.
A cube has a volume of 216 cubic inches. What is the length of each edge of the cube? A. 9 in. B. 6 in. C. 4 in. D. 3 in.
The length of each edge of the cube = 6 inches, Thus option B is correct.
The volume of a cube = 216 cubic inches,
length of each edge of a cube is an inch
To find the value of a:
The formula for the volume of a cube is [tex]a^{3}[/tex]
The volume of cubic = [tex]a^{3}[/tex]
V = [tex]a^{3}[/tex]
substitute the volume value given in the equation in the above formula
216 = [tex]a^{3}[/tex]
[tex]a = \sqrt[3]{216}[/tex]
[tex]a[/tex] = 6
a = 6inches
Therefore, the length of each edge of the cube is 6 inches.
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A lawnmower was discounted 32%. The lawnmower sold for $117.81 including sales tax of 5% of the sale price. What was the original price of the mower?
Step-by-step explanation:
We can begin by using the fact that the selling price was 117.81, including a sales tax of 5%. Let x be the original price of the lawnmower.
After the discount of 32%, the selling price is:
0.68x + 0.05(0.68x) = 117.81
Simplifying and solving for x, we get:
0.68x + 0.034x = 117.81
0.714x = 117.81
x = 165
Therefore, the original price of the lawnmower was $165.
Fabrizio cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 57 inches. How long is each side of the original square paper?
The length of each side of the original square paper is √812.25 = 28.5 inches.
Let us assume that the length and breadth of the square paper are 'a' and 'b' respectively. Now, Fabrizio cuts the paper vertically to make two rectangular pieces.
Since the paper is cut vertically, it can be assumed that the breadth of the square is equal to the height of the rectangle.
Therefore, the perimeter of one rectangle can be calculated by the formula P = 2l + 2wwhere l = length and w = widthNow, P = 57 inches.
Therefore, 2l + 2w = 572(l + w) = 57l + 57w = 28.5(2l + 2w)Since the paper is cut into two rectangles, the length of the square paper is divided equally into the two pieces.
Therefore, the length of the side of the original square paper can be calculated as follows:Length of one rectangle = l = 28.5Width of one rectangle = w = 57 - 28.5 = 28.5
Therefore, the breadth of the original square paper = width of one rectangle = 28.5 inches.
The area of the square can be calculated as length * breadthTherefore, the area of the square paper is given by a * b = 28.5 * 28.5 = 812.25 square inches.
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Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P ( x <| 104 )
The probability of the data less than or equal to 104 is 84%.
What is the probability of the data less than or equal to 104?The probability of the data less than or equal to 104 is calculated by applying normal distribution formula.
In a standard normal distribution curve, we have the following;
One standard deviation below the mean = M - S.D = 34%
One standard deviation above the mean = M + S.D = 34%
The number of data that would be at 104 is calculated as;
M + S.D = 98 + 6
M + S.D = 104
So we can see that 104 lie at one standard deviation above the mean.
mean = 50%
one standard deviation above the mean = 34%
The total probability = 50% + 34% = 84%
P ( x <| 104 ) = 84%
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The area of the triangle is 360 square millimeters
41 mm on both sides
The height is 40
What is the triangles base, b?
As per the given triangle, the base of the triangle, b, is 360 millimeters.
We may use the formula for the area of a triangle to determine the triangle's base, or b, given its 360 square millimetres in area, 41 mm for each side, and 40 millimetres in height.
The formula for calculating a triangle's area is:
Area = (base * height) / 2
Given that,
Area = 360 square millimetres
Height = 40 mm
Sides = 41 mm
So, 360 = (b * 40) / 2
720 = b * 2
b = 720 / 2
b = 360
Thus, the base of the triangle is 360 mm.
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This figure is a rectangular prism.
Select ALL figures that are NOT formed by a horizontal
slice parallel to the base.
A
B
C
D
square
right triangle
isosceles trapezoid
rectangle
“This figure is a rectangular prism” it says at the top btw”
if u do this ty
The horizontal slice of a rectangular prism will always be a rectangle. Therefore, the correct answers are options A, B and C.
A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
The horizontal cross section of a rectangular prism will always be a rectangle.
Therefore, the correct answers are options A, B and C.
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help pleaseee bestanswer will get brainly
The central angle of the given circle is seen as: ∠GQH
How to identify the central angle?A central angle of a circle is defined as an angle that exists between two radii with the vertex at the center. The central angle of an arc is also defined as the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
We are given the arc name as Arc GEH.
From the definition above, it is very clear that the central angle will be ∠GQH because it includes the two radii with the vertex at the center.
Thus, we conclude that the correct central angle from the given arc is stated as ∠GQH
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George and Manuel had a roofing business George as owner of the materials received $3 for every $2 manual received on a job that paid $750 what amount did each receive
Manuel received $187.50, and George received $562.50 for the job.
Let's break down the information provided:
The job paid a total of $750.
George received $3 for every $2 that Manuel received.
To determine the amounts George and Manuel received, we can set up a ratio based on their earnings.
Let's assume Manuel's earnings as the base amount:
George's earnings : Manuel's earnings = $3 : $2
We can set up the following equation to solve for Manuel's earnings:
(Manuel's earnings / Manuel's earnings) = ($2 / $2)
Since the ratio is equivalent, we can say:
George's earnings / Manuel's earnings = $3 / $2
To find the amount each person received, we'll assign a variable to Manuel's earnings. Let's call it "x."
Therefore, George's earnings can be represented as "3x."
According to the given information, their total earnings should sum up to $750:
x + 3x = $750
Combining like terms, we have:
4x = $750
To solve for x, we divide both sides by 4:
x = $750 / 4
x = $187.50
Now, we can determine the amounts each person received:
Manuel's earnings = x = $187.50
George's earnings = 3x = 3 * $187.50 = $562.50
Therefore, Manuel received $187.50, and George received $562.50 for the job.
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Eye Color of Males Surveyed
Green
Blue
5
16
Brown
27
Eye Color of Females Surveyed
Blue
Brown
19
18
Green
3
What percent of students in the survey are either female or have green eyes? Round your answer to the nearest tenth.
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? Round your answer to the nearest tenth.
About % are males who do not have green eyes.
Find the sum of these two percents.
The sum of these two percents is %.
The sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
How to determine the sum of these two percents.The sum of these two percents is %.Percentage of Females: (1918 / (1918 + 516 + 27)) * 100 = (1918 / 2461) * 100 ≈ 78.0%
Percentage of Students with Green Eyes: ((516 + 3) / (1918 + 516 + 27)) * 100 = (519 / 2461) * 100 ≈ 21.1%
Percentage of Students who are either Female or have Green Eyes: 78.0% + 21.1% ≈ 99.1%
Therefore, approximately 99.1% of students in the survey are either female or have green eyes.
Percentage of Males with Green Eyes: (516 / (516 + 3)) * 100 = (516 / 519) * 100 ≈ 99.4%
Percentage of Males who do not have Green Eyes: 100% - 99.4% ≈ 0.6%
Therefore, approximately 0.6% of students in the survey are males who do not have green eyes.
To find the sum of these two percentages:
Sum of Percentages: 99.1% + 0.6% ≈ 99.7%
Therefore, the sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.
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5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?
Answer: 18.78 cubic feet
Step-by-step explanation:
The detailed analysis is attached below.
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
e-Test Active
2
3
=+
4
Of(x) = -3x+4
Of(x) = -x +
Of(v)=-3y+4
5
6
7
8
10
TIME REI
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be
written using function notation?
42-
The function notation of 9x + 3y = 12 is given as follows:
f(x) = 4 - 3x.
How to write the function notation?The function in the context of this problem is given as follows:
9x + 3y = 12.
The format for the function notation is given as follows:
Hence we must isolate the variable y, as follows:
3y = 12 - 9x
y = 4 - 3x (each term of the expression is divided by 3).
f(x) = 4 - 3x.
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Which of the following shows a 90° counterclockwise rotation of the blue figure
is it possible to have 131 quests in a particular arrangement?
Answer:
yes
Step-by-step explanation:
Linear equations linear equations
A graph of the linear equation y = 2x - 1 in slope-intercept form is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, we have the linear equation:
y = 2x - 1
Lastly, we would use an online graphing calculator to plot the given linear equation as shown in the graph attached below.
In conclusion, the slope of this linear equation is equal to 2 and it does not represent a proportional relationship.
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Complete Question:
Plot the linear equation on the coordinate axis shown on the right.
