The dimensions (length and breadth) of the box are 10r x 8r.
We are given that;
π = 3,142
Number of tins=4,5
Now,
To calculate the area of sheet metal needed to make a soup tin, we can use the formula for surface area of a cylinder which is given by:
Surface Area = 2πrh + 2πr^2
where r is the radius of the cylinder and h is the height of the cylinder.
Using the given values, we can calculate the surface area of the soup tin as follows:
Surface Area = 2π(4.5)(8) + 2π(4.5)^2 Surface Area = 226.08 cm^2
To calculate the total surface area of the label, we can use the formula for surface area of a cylinder which is given by:
Surface Area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Using the given values, we can calculate the surface area of the label as follows:
Surface Area = 2π(4.5)(8) Surface Area = 226.08 cm^2
To find out the dimensions (length and breadth) of the box in which tins are packed, we can use the given information that 4 tins fit in the width of the box and 5 tins fit in the length of the box. Let’s assume that each tin has a diameter of d cm.
4d = width of box 5d = length of box
We know that diameter (d) = 2r where r is radius.
So, width of box = 4d = 8r length of box = 5d = 10r
Therefore, by the area the answer will be 10r x 8r.
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I’m stuck, help would be nice :D
Answer:
-14
Explanation:
3 x -3 - 5 = -14
Answer:
-14, -5, 4, and 13
Step-by-step explanation:
For each x value, substitute it for x in the equation.
For the first one where x = -3,
y = 3(-3) - 5
y = -9 - 5
y = -14
So the first one is -14. The next x value is 0
y = 3(0) - 5
y = 0 - 5
y = -5
Second one is -5. The next x value is 3
y = 3(3) - 5
y = 9 - 5
y = 4
Third is 4. The next x value is 6
y = 3(6) - 5
y = 18 - 5
y = 13
So the last one is 13.
Fill in each of the missing parts of the hierarchy of the quadrilaterals. Include the properties of each of the figures.
Answer:
I just edited the file you linked.
Answer:
HERE IS THE REAL ANSWER!!! >
Step-by-step explanation:
I added the file so yeah also its correct!
A university found that 25% of its students withdraw without completing the introductory statistics course. Assume that 30 students registered for the course.Use Microsoft Excel whenever necessary and answer the following questions:Compute the probability that 2 or fewer will withdraw
Answer:
0.0106 = 1.06% probability that 2 or fewer will withdraw
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they withdraw, or they do not. The probability of an student withdrawing is independent of any other student, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
25% of its students withdraw without completing the introductory statistics course.
This means that \(p = 0.25\)
Assume that 30 students registered for the course.
This means that \(n = 30\)
Compute the probability that 2 or fewer will withdraw:
This is:
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{30,0}.(0.25)^{0}.(0.75)^{30} = 0.0002\)
\(P(X = 1) = C_{30,1}.(0.25)^{1}.(0.75)^{29} = 0.0018\)
\(P(X = 2) = C_{30,2}.(0.25)^{2}.(0.75)^{28} = 0.0086\)
\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0002 + 0.0018 + 0.0086 = 0.0106\)
0.0106 = 1.06% probability that 2 or fewer will withdraw
Need help plz I’m not rlly smart at math
Answer:
Step-by-step explanation:
ha ha
Answer:
9ft^2
Step by step explanation:
Area is L × W
so the L would be 3 3/4 ft x 2 2/5ft
with that equation in mind
how do we multiply whole number fractions? well, we make them into improper fractions
3 3/4 becomes (4x3) +3 / 4
2 2/5 becomes (2x5) + 2 / 5
Those answers become
15/4 x 12/5
^ Our improper fractions then we multiply across
15/4 x 12/5
^ 15 x 12 = 180
& 4 x 5 = 20
the final fraction becomes 180/20 and we can simplify that by 20
that becomes 9/1 = 9ft^2
HELP!! ILL MARK BRRAINLIST
Answer:
I think answer is D but it could be wrong not sure
A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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HELP PLS!
Delta math
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?
Answer:
25.95 quarters which is about 6.5 years
Step-by-step explanation:
Does anyone know how to do this? Please help!
what is the simplified form of the ratio 9:18
Answer:
1:2
Step-by-step explanation:
:)
What is (3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)?
Answer:
Hope this helps ;) don't forget to rate this answer !
Step-by-step explanation:
To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.
(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
The next step is to combine like terms within each parentheses:
= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
Finally, we can add the two expressions:
= (56x - 3x² + 7) + (-8x + 2x³ + 3)
= 56x - 3x² - 8x + 2x³ + 3 + 7
= 56x - 3x² - 8x + 2x³ + 10
The final answer is 56x - 3x² - 8x + 2x³ + 10.
Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D
Answer:
B) employers
Step-by-step explanation:
EDGE 2021
11. If AB LCD, mZDCE = (7x + 2) and mZECB= (x + 8), find the measure of ZDCE.
AC B.
Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,
mZDCE = mZECB (Alternate Interior Angles)
(7x + 2) = (x + 8) (Substitute in the given angle measures)
Solving for x, we get:
7x + 2 = x + 8
6x = 6
x = 1
Now, we can use x to find the measure of angle ZDCE:
mZDCE = (7x + 2)
= (7*1 + 2)
= 9
Therefore, the measure of angle ZDCE is 9 degrees.
Which expression has a value of −24?
(−24)+48
24+(−24)
(−48)+24
(−24)+(−24)
Multiply. 6 2/3 x (-4 1/5)
\(6 \frac{2}{3} \times - 4 \frac{1}{5} \)
\( \frac{20}{3} \times \frac{ - 21}{5} \)
\(4 \times - 7\)
\( - 28\)
632×−451
\frac{20}{3} \times \frac{ - 21}{5}320×5−21
4 \times - 74×−7
- 28−28
HOPE IT HELPS! :)
Purchasing a TV that is 20% off will save $180.
a. Name the different parts with the words: PART, WHOLE, PERCENT.
20% off
S180
Original Price
b.
What was the original price of the TV? Show two methods for finding your answer.quick
______________________________
O = D × P ÷ 100= 20% × $180 ÷ 100= $36= $180 + $36= $216______________________________
Solve each equation 5(-8+5k) +5k=-250
Answer:
k = 7
Step-by-step explanation:
-40+25k +5k = -250
30k = -250 + 40
k = -210/30
k = 7
HELP and no links. Ty
Answer:
B
Step-by-step explanation:
An absolute value cannot be negative
Answer:
option B
I hope it helps , pls mark as the branliest
A politician takes an
of 757575 citizens in a county to see what proportion of citizens sampled are satisfied with their standard of living. Suppose that 80\%80%80, percent of the 118{,}000118,000118, comma, 000 citizens in the county are satisfied with their standard of living.
What are the mean and standard deviation of the sampling distribution of the proportion of citizens who are satisfied with their standard of living?
Choose 1 answer:
The mean of the sampling distribution is 606060 and the standard deviation is 871.78.
The central limit theorem is what?As long as the sample size is sufficient (usually, n 30), the central limit theorem implies that if we repeatedly take random samples from a population, the sampling distribution of the sample means will resemble a normal distribution, regardless of the form of the population distribution. This indicates that given the sample mean and standard deviation, we may utilise the normal distribution to draw conclusions about the population mean. Because it enables us to estimate population parameters even when we don't know the population distribution, the central limit theorem is significant.
Given that,
n = 757575
p = 80% = 0.8
q = 1 - 0.8 = 0.2
The mean of the binomial distribution is given as:
Mean: μ = np = (757575)(0.8) = 606060
The standard deviation of the binomial distribution is given as:
σ = √(npq) = √((757575)(0.8)(0.2)) = 871.78
Hence, the mean of the sampling distribution is 606060 and the standard deviation is 871.78.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
Express the the average distance from a point in a ball of radius 4 to its center as a triple integral.
NOTE: When typing your answers use "rh" for rho,rho, "ph" for ϕϕ, and "th" forθθ.
Average Distance = ∫θ2θ1∫ϕ2ϕ1∫rho2rho1drho dϕ dθrho1=rho2=ϕ1=ϕ2=θ1=θ2=∫θ1θ2∫ϕ1ϕ2∫rho1rho2drho dϕ dθrho1=rho2=ϕ1=ϕ2=θ1=θ2=
Evaluate the integral Average Distance =
Sphere:
A sphere is a three-dimensional figure. Volume of sphere is V=43πr3V=43πr3 where rr denotes the radius of the sphere.
In ∫∫∫f(x,y,z)dxdydz∫∫∫f(x,y,z)dxdydz, ∫∫∫∫∫∫ denotes triple integral, x,y,zx,y,z are variables of integration and f(x,y,z)f(x,y,z) is the integrand.
The Average distance from point in a ball of radius 4 to the center as a triple integral is ⇒ 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\) and the average distance is 3 units .
In the question ,
it is given that ,
the radius of the ball is 4 ,
that means ρ = 4 .
So , using spherical coordinates ;
the region is given by
E = {(ρ,Φ,θ) | 0≤ρ≤4 , 0≤Φ≤π , 0≤θ≤2π }
So , the triple integral representation of the average distance is given by
AD = (∫∫∫d(x,y,z) dV)/(∫∫∫1 dV)
= 1/(4/3 * π *4³)× \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {\rho.{\rho}^{2} } \, sin\phi .d\rho .d\phi .d\theta\)
= 1/(4/3 * π *4³) × \(\int\limits^{2\pi }_0 \int\limits^{\pi }_0 \int\limits^4_0 {{\rho}^{3} } \, sin\phi .d\rho .d\phi .d\theta\)
Integrating further ,
we get ;
= (3/256π) × \(\int\limits^{2\pi }_0\int\limits^{\pi }_0\)[ρ⁴/4]⁴₀ sinФ.dФ.dθ
Simplifying further ,
we get ,
= 3/4π × 2 × [θ] 2π to 0
= (3/2π) × 2π
= 3
Therefore , the Average distance is 3 units .
The given question is incomplete , the complete question is
Express the the average distance from a point in a ball of radius 4 to its center as a triple integral and evaluate it .
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The oblique pyramid has a square base.
An oblique pyramid has a square base with a base edge length of 2 centimeters. The vertical height of the pyramid is 3.75 centimeters.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm3
7.5 cm3
Answer:
5cm^3
Step-by-step explanation:
How many milliliters are there in 16 meters
Answer:
I think you mean millimeters ? if so you just multiply the meters by 1000 to get
16000
Step-by-step explanation:
Answer:
16,000
Step-by-step explanation:
1,000 every meter
WILL GIVE BRAINLIST What is the volume of the cylinder below?
A. 36 units 3
B. 72x units
C. 45 units 3
D. 90x units 3
Answer:
Volume of the given oblique cylinder = 36π units³
Step-by-step explanation:
Volume of the oblique cylinder = πr²h
Here, 'r' = Radius of the circular base
'h' = Height of the cylinder
For the given oblique cylinder,
Radius of the circular base = 3 units
Height of the cylinder = 4 units
Volume of the cylinder = π(3)²(4)
= 36π units³
Therefore, volume of the given oblique cylinder = 36π units³
Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
Bookwork code: C20
Calculator
not allowed
56.481 = 50+6+0.4+0.08
+0.001
Use this example to work out the missing number in this sum:
35.149 = 30 + 5 +0.1+
+ 0.009
4
-
Based on the information provided, the missing number, in this case, would be 0.04.
How to calculate the missing number?Addition is one of the four main operations used in math, as its name indicates in addition we need to add or combine numbers. Based on this principle, let's add number by number to find the total we have, and then let's use subtraction to find the missing number. This means after we add all the numbers we will subtract the total, which is 35.149.
The process is shown below:
\(30 + 5 = 35\\35 + 0.1 = 35.1\\35.1 + 0.009 = 35.109\\\\35.149 - 35.109 = 0.04\\35.109 + 0.04 = 35.149\)
Therefore the missing number is 0.04.
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Find the height of a cone with a diameter of 8 inches and a surface area of 371 square inches. Round to the nearest whole number.
Yikes
I'm not typing this.
Heres the JPG of my work
It got nasty so I checked with an algebra calculator to make sure i didn't make a careless mistake.
its 25 btw but you should check work anyways
Hope this helps :)
- Jeron
edit: wow exporting as a jpg deep fried my work. ill attach the pdf to just in case you need it
edit 2: i forgot that png is more lossless just use that
a businesswoman sells a bag for $52.32, thereby making a profit of 9% on the cost of her. calculate the selling price the businesswoman should ask in order to make 20% profit
Answer: $57.6
Step-by-step explanation:
Given : A businesswoman sells a bag for $52.32.
Let cuurent selling price : SP = $52.32
As they are making 9% profit now.
That means SP= Cp +0.09 CP , where Cp is the cost price of bag.
i..e \(52.32=Cp(1+0.09) \ \text{[Substituted value of SP in LHS and taking Cp common outside in RHS]}\)
\(\Rightarrow\ 52.32=Cp(1.09)\Rightarrow\ CP=\dfrac{52.32}{1.09}=48\)
i..e Cost price of bag = 48
Selling price to gain 20% profit = Cp+0.20CP
= CP(1+0.20)
=48 (1.20)
= 57.6
Hence, the selling price the businesswoman should ask in order to make 20% profit = $57.6
i have 375 baseball cards in my collection . this is 5 times more than my brother has in his collection . how many do we have all together
Answer:
450
Step-by-step explanation: