Answers
Answer:
the volume = 1152cm^2
Step-by-step explanation:
> The volume of cylinder =4 spheres
> Volume of sphere = v= 4/3πr³
> radius =6cm
volume of 4 spheres =
[tex]v \: = 4 \times \frac{4}{3} \times \pi \times {6}^{3} \\ \\ v = 1152cm {2} [/tex]
Answer:
the unused volume is 18095,57cm cubed
Related Questions
The sales department has determined that the average purchase value for their catalog business is normally distributed with a mean of $41.34 and a standard deviation of $13.54. What is the purchase value at the 30th percentile
Answers
Answer:
The purchase value at the 30th percentile=34.24
Step-by-step explanation:
We are given that
Mean,[tex]\mu=41.34[/tex]
Standard deviation,[tex]\sigma=13.54[/tex]
We have to find the purchase value at the 30th percentile.
[tex]xth percentile =\mu+Z\times \sigma[/tex]
Where Z is the critical value of x% confidence interval
x=30
Critical value of Z at 30% confidence interval=-0.5244
Using the formula
30th percentile=[tex]41.34+(-0.5244)(13.54)[/tex]
30th percentile=[tex]41.34-7.100376[/tex]
30th percentile[tex]\approx 34.24[/tex]
Hence, the purchase value at the 30th percentile=34.24
You are making a committee from the class and need to have 6 students on it. There are 32 students in the class.
answer in permutations
Answers
Answer:
32P6
Step-by-step explanation:
nPr
n=32
r=6
Jun 29, 8:51:41 AM
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.7 ft and the height of the pyramid is 9.8 ft. Round your answer to the nearest
tenth of a cubic foot.
Answers
9514 1404 393
Answer:
23.4 ft³
Step-by-step explanation:
In terms of the perimeter of the square base, the volume of a pyramid can be found using the formula ...
V = (1/48)P²h . . . . . where P is the base perimeter and h is the height
V = (1/48)(10.7 ft)²(9.8 ft) ≈ 23.4 ft³
_____
Additional comment
The relevant formulas usually used are ...
P = 4s . . . . perimeter of a square with side length s
A = s² . . . . area of a square with side length s
V = (1/3)Bh . . . . . volume of a pyramid with base area B and height h
Solving the perimeter equation for s, and using that result in the other formulas, we get ...
s = P/4
B = (P/4)² = P²/16
V = 1/3(P²/16)h = (1/48)P²h . . . . the formula used above
Using this result saves the effort of computing the intermediate values of side length and base area.
Which system of equations below has no solution
Answers
Answer:
Step-by-step explanation:
y= 4x + 5
y = 4x - 5
4x + 5 = 4x - 5
0 ≠ -10
no solution
Several factors influence the size of the F-ratio. For each of the following, indicate whether it would influence the numerator or the denominator of the F-ratio, and indicate whether the size of the F-ratio would increase or decrease. a. Increase the differences between the sample means. b. Increase the sample variances.
Answers
Answer:
(a) Increase the differences between the sample means this will increase the Numerator.
(b) Increase the sample variances will increase the denominator.
Step-by-step explanation:
F Ratio = Variance between treatments/ Variance within treatments.
Here,
(a) Increase the differences between the sample means:
- Will increase the Numerator and
- Size of the F-ratio would increase
(b) Increase the sample variances:
- Will increase the denominator and
- Size of the F Ratio would decrease.
ora started watching a movie at 2:45 p.m. She watched the movie for hours before stopping the movie for hours to eat dinner. After dinner, Nora finished watching the remaining hours of the movie. At what time did the movie end?
Answers
Answer: Movies Average around 1 hour to 2 hours long. 1:30 to 2:30 so id say somewhere around 4-5 pm. Which leaves time for dinner after
Step-by-step explanation:
Which of the following choices is the average speed of a tourist who traveled for 1 hour on a plane at 400 mph and 4 hours by car at 60 mph?
(average= total miles/total hours)
Answers
Answer:
128 mph
Step-by-step explanation:
1 hour = 400
4 hours = 240
240+400= 640
4+1 = 5
640/5=128
help me please i am struggle with this
Answers
Suppose you buy a home and finance $275,000 at $2,223.17 per month for 30 years. What is the amount of interest paid? (Round your answer to the nearest cent.)
Answers
Explanation:
30 years = 30*12 = 360 months
If the monthly payment is $2,223.17 for 360 months, then you'll pay back a total of 2223.17*360 = 800,341.20 dollars overall.
Subtract off the amount financed, or amount loaned, to get the total interest.
800,341.20 - 275,000 = 525,341.20 is the amount of interest paid (in dollars).
This works because effectively, the total amount paid back consists of principal + interest. The principal is the amount the bank loans you.
So we could rephrase that last equation into saying
principal + interest = 275,000 + 525,341.20 = 800,341.20 = total amount paid back.
The sum of 5 consecutive even numbers is 250. What is the fourth number in this sequence?
Answers
Answer:
Our fourth number is 52.
Step-by-step explanation:
Let our first even number be x.
Then the second even number must be (x + 2), the third (x + 4), fourth (x + 6), and the fifth (x + 8).
They sum to 250. Hence:
[tex]x+(x+2)+(x+4)+(x+6)+(x+8)=250[/tex]
Solve for x. Combine like terms:
[tex]5x+20=250[/tex]
Subtract 20 from both sides:
[tex]5x=230[/tex]
And divide both sides by five. Hence:
[tex]x=46[/tex]
Thus, our sequence is 46, 48, 50, 52, and 54.
Hence, our fourth number is 52.
There is a high-speed rail track between London and Manchester.
The length of this track is 210 miles.
A train departs London at 11:20 and arrives in Manchester at 13:28
The train company claims
the average speed of this train is 104 miles per hour.
Is the average speed of this train 104 miles per hour?
(4)
Use the box below to show clearly how you get your answer.
Answers
Answer:
Step-by-step explanation:
this is the famous dirt formula, :P I made it up :D
D=rt ( notice it looks like Dirt , kinda, but it also means it dirt simple )
D= distance
r = rate ( think speed or how fast)
t = time ( in what ever units of time you want to use, seconds, minutes, hours )
13:28 - 11:20 = 128 minutes ( b/c the question is asking in MPH convert to hours) 2.4666667 hours
210 miles = r * 2.46666667
210 / 2.46666667 = r ( in MPH) ( does anyone else find it odd that they are saying miles in London instead of kilometers? :/ )
85.135 MPH = rate
so no, not even close to 104 MPH :/
Answer:
Average speed is 98 mph
Step-by-step explanation:
[tex]\frac{distance (miles)}{time (hours)}[/tex] = speed [tex]\frac{mile}{hours}[/tex] (miles per hour is a ratio)
The time is 2 hours and 8 minutes.
[tex]\frac{8}{60}[/tex] = .13333 ( 8 minutes / 60 minutes in a hour)
So time is 2.133333 hours .
Divide the distance 210 by the time 2.13333 and get the speed.
Its 98.437..
Round to 98 miles per hour.
20. In the image, ABC has measure 58°. What is the measure of ABD?
A. 116°
OB. 29°
O C. 58
OD. There is not enough information to determine LABD.
Answers
Answer:
Option B, 29°
Step-by-step explanation:
The diagram is a angle bisecting diagram which divides the 58° angle into two 29° angles.
Answered by GAUTHMATH
Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?
Answers
Answer:
Nancy gained 5.075 pounds.
Step-by-step explanation:
5/8=0.625
37.625
42.7-37.625=5.075
appoint a planning committee with five different members. There are 14 qualified candidates, and officers can also serve on the committee. What is the probability of randomly selecting the committee members and getting the five youngest of the qualified candidates?
Answers
Answer:
[tex]Pr = \frac{1}{2002}[/tex]
Step-by-step explanation:
See comment for complete question;
Given
[tex]n = 14[/tex]
[tex]r = 5[/tex] -- committee members
[tex]k = 4[/tex] ---- officers (i.e. president, CEO, COO and CFO)
Required
Probability of selecting 5 youngest qualified members
First, we calculate the number of ways the committee can be appointed;
Any 5 members can be part of the committee; This means that we won't consider the order.
So, the number of ways is:
[tex]^{14}C_5[/tex]
This gives:
[tex]^{14}C_5 = \frac{14!}{9!5!}[/tex]
So, we have:
[tex]^{14}C_5 = \frac{14*13*12*11*10*9!}{9!*5*4*3*2*1}[/tex]
[tex]^{14}C_5 = \frac{14*13*12*11*10}{5*4*3*2*1}[/tex]
[tex]^{14}C_5 = \frac{240240}{120}[/tex]
[tex]^{14}C_5 = 2002[/tex]
There can only be a set of 5 young people. So, the probability is:
[tex]Pr = \frac{1}{2002}[/tex]
What is the value of y?
Answers
Answer:
y=0
Step-by-step explanation:
1. Make variable y as subject for the first equation, which is y= -2x +10
2. substitute the first eq to the second one
3. x - (-2x+10) -5=0
4. solve x, which x = 5
5. substitute in eq 1 which is y= -2x +10
6. solve the eq, the possible solution is y=0
Identify the sampling method that was used. Cattle tag numbers at a livestock auction are selected using a random number generator. The cattle are then tested for mad cow disease.
a. Stratified
b. Systematic
c. Random
d. Cluster
Answers
Answer:
c. Random
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Systematic sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Random sampling.
Random sampling can be defined as a type of sampling in which the researcher select a sample of the population in order to determine an outcome.
Thus, the type of sampling used is random sampling.
1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}
Answers
Given:
The statement is:
{5, 6, 7} = {5, 5, 6, 7, 7}
To find:
Whether the given statement is true or false.
Solution:
Two sets are equal if they have exactly the same elements.
The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.
Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,
{5, 5, 6, 7, 7} = {5, 6, 7}
Therefore, the given statement is true.
whats the x and y value? I thought it would be choice d but I'm not sure
please help asap . my question is timed
Answers
Answer:
cos(60°) = [tex]\frac{adjacent}{hypotenuse}=\frac{y}{10\sqrt{3} }[/tex]
[tex]cos(60)=\frac{y}{10\sqrt{3} } \\y=cos(60) * 10\sqrt{3} \\y=\frac{1}{2} * 10\sqrt{3}\\y=\frac{10\sqrt{3}}{2} =5\frac{\sqrt{3} }{2} =8.66[/tex]
sin(60°) = [tex]\frac{opposite}{hypotenuse} =\frac{x}{10\sqrt{3} }[/tex]
[tex]sin(60)=\frac{x}{10\sqrt{3} } \\x=sin(60)*10\sqrt{3} \\x=\frac{\sqrt{3} }{2} *10\sqrt{3} \\x=\frac{10(\sqrt{3} ) (\sqrt{3} )}{2} \\x=\frac{10*3}{2} =\frac{30}{2} =15[/tex]
find the slope of the line passing through the points (6,-7) and (3,-3) .
Answers
Answer:
y2-y1 / x2-x1
-4/3
Step-by-step explanation:
Answer:
-4/3
Step-by-step explanation:
When given two points, the slope is found by
m = (y2-y1)/(x2-x1)
= (-3- -7)/(3 -6)
= (-3+7)/(3-6)
= 4/-3
= -4/3
Find the volume of the figure. Express answers in terms of t, then round to the nearest whole number
Please help :)
Answers
Answer:
729π ft³
Step-by-step explanation:
Applying,
Volume of a cone
V = πr²h/3.............. Equation 1
Where r = radius of the base, h = height, π = pie
From the question,
Given: r = 9 ft, h = 27 ft
Substitite these values into equation 1
V = π(9²)(27)/3
V = 729π ft³
Hence the volume of the figure in terms of π is 729π ft³
Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper and pencil. You decide to use a third-degree Taylor polynomial expanded around x =0. Use the fact that e^0.4 < e < 3 and the Error Bound for Taylor Polynomials to find an upper bound for the error in your approximation.
|error| <= _________
Answers
Answer:
0.0032
Step-by-step explanation:
We need to compute [tex]e^{0.4}[/tex] by the help of third-degree Taylor polynomial that is expanded around at x = 0.
Given :
[tex]e^{0.4}[/tex] < e < 3
Therefore, the Taylor's Error Bound formula is given by :
[tex]$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$[/tex] , where [tex]$M=|F^{N+1}(x)|$[/tex]
[tex]$\leq \frac{3}{(3+1)!} |-0.4|^4$[/tex]
[tex]$\leq \frac{3}{24} \times (0.4)^4$[/tex]
[tex]$\leq 0.0032$[/tex]
Therefore, |Error| ≤ 0.0032
Evaluate 12 sin 85° correct to two decimal places.
Answers
Answer:
12 x sin(85)
12x 0.99619
155.40
Solution:
12 x sin (85) = 11.95 (Since sin85 is 0.996194)
So, the answer is 11.95.
Bateman Corporation sold an office building that it used in its business for $800,800. Bateman bought the building 10 years ago for $599,600 and has claimed $201,200 of depreciation expense. What is the amount and character of Bateman's gain or loss?
Answers
Answer:
$402.700 capital gain
Step-by-step explanation:
Need help
Identify the domain of the function shown in the graph
Answers
Answer:
B
Step-by-step explanation:
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
Answers
Answer:
4
Step-by-step explanation:
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
-11+4*4+3*-4+7*-2+25
-11+16+-12+-14+25
4
y is inversely proportional to the square of x. If y=4 when x=6 then what is y when x is 8?
Answers
Step-by-step explanation:
y=k/x
4=k/6 4*6=k =24 . if x=8, y=24/8,y=3Which rectangle has an area of 18 square units? On a coordinate plane, a rectangle is 2 units high and 7 units wide. On a coordinate plane, a rectangle is 2 units high and 6 units wide. On a coordinate plane, a rectangle is 3 units high and 5 units wide. On a coordinate plane, a rectangle is 3 units high and 6 units wide.
Answers
Answer:
On a coordinate plane, a rectangle is 3 units high and 6 units wide.
Answer:
option "B"
You Welcome
Step-by-step explanation:
WILL GIVE BRAINLIEST!!! I WILL BE VERY GRATEFUL IF YOU HELP ME ASAP
Answers
Answer:
According to me its 90 degree
Step-by-step explanation:
if 2 (3x - 4 ) =5, then x =
Answers
Answer:
2.167 (rounded to the nearest hundredths).
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, divide 2 from both sides of the equation:
(2(3x - 4))/2 = (5)/2
3x - 4 = 2.5
Next, isolate the variable, x. Add 4 to both sides of the equation:
3x - 4 (+4) = 2.5 (+4)
3x = 2.5 + 4
3x = 6.5
Then, divide 3 from both sides of the equation:
(3x)/3 = (6.5)/3
x = 6.5/3 = 2.167 (rounded).
~
Answer:
We have this equation
2*(3x-4) = 5
We can start solving the parentheses
2*(3x- 4) = 5
6x - 8 = 5
We can add 8 to both sides
6x - 8 + 8 = 5 + 8
6x = 13
And divide by 6
6x/6 = 13/6
x = 13/6
HELP FAST PLEASEEEEEE
Which of the tables represents a function?
Table AInput
Output
3
1
3
4
2
3
Table BInput
Output
2
7
5
6
2
9
Table CInput
Output
1
5
7
2
7
3
Table DInput
Output
3
4
1
5
8
5
Select one:
a. Table A
b. Table B
c. Table C
d. Table D
Answers
Answer:
d.......................