The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Given:
A sphere has a diameter of 24 mm.
Radius r = diameter/2
= 24/2
r = 12 mm.
volume of sphere = 4/3π[tex]r^{3}[/tex]
= 4/3 * 22/7 * [tex]12^{3}[/tex]
= 88*[tex]12^{3}[/tex]/21
= 88*1728/21
= 152064/21
= 7241.142 m[tex]m^{3}[/tex].
Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].
Learn more about the volume of sphere here:
https://brainly.com/question/9994313
#SPJ1
Please help thank u! I would appreciate it ASAP
Answer:
Step-by-step explanation:
can’t be determined
The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins
d(t)=1/2t+6
What is the domain
What is the range
The domain of the function d(t)=1/2t+6 is (-∞, ∞) and the range of the function is (-∞, ∞).
What are Domain and Range?Similar to how we input different numbers into functions, we also receive new numbers as the outcome. The two main characteristics of functions are domain and range.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function. A is the domain and B is the co-domain if a function f: A → B exists that maps every element of A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R. The set of images is the function's range.
The domain of the function d(t)=1/2t+6 is given by
Domain: (-∞, ∞), {x|x ∈ R}
The range of the function is given by
Domain: (-∞, ∞) , {y|y ∈ R}
To know more about the domain and range, visit:
https://brainly.com/question/28135761
#SPJ1
Work out the area of this circle. Take to be 3.142 and write down all the digits given by your calculator. Circles - Area 6.9 cm
The Area of the circle is 149.6 when the radius is 6.9cm.
Given that,
The radius is 6.9cm when the pi value is 3.142
Find the circle's area is what we must do.
We know that,
Radius is 6.9cm
r= 6.9cm
The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.
Area of the circle is πr²
Area of the circle= 3.142×6.9²
Area of the circle= 3.142×47.61
Area of the circle=149.6
Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.
To learn more about circle visit: https://brainly.com/question/11833983
#SPJ9
Question content area top
Part 1
The dot plot shows predictions for the winning time in the 200-meter sprint. The winner finished the race in 22.4 seconds. What is the greatest percent error among the predictions?
The greatest percent error among the predictions is of:
2.23%.
How to obtain the percent error of a measure?The percent error of a measure is obtained by the division of the difference between the actual value and the estimated value by the actual value, and multiplied by 100%, hence the equation is:
Percent error = |Actual - Estimate|/Actual x 100%.
From the given dot plot, we have that the farthest measure from 22.4 seconds is of 22.9 seconds.
The difference between the actual time and the estimate time is of:
22.9 seconds - 22.4 seconds = 0.5 seconds.
Applying the presented division, the percent error is given as follows:
Percent error = 0.5/22.4 x 100% = 2.23%.
Missing InformationThe dot plot is given by the image at the end of the answer.
More can be learned about percent error at https://brainly.com/question/11290033
#SPJ1
Mrs. Ferrell spent 40 minutes grading tests. That was 80% of the total number of minutes she
spent grading.
How many minutes did she spend grading?
Answer:
50 mins
Step-by-step explanation:
80 percent=40 mins
100 percent=50 mins
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
Learn more about statistics on:
https://brainly.com/question/15525560
#SPJ1
statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
Four out of nine dogs weigh less than 20 pounds what is the decimal equivalent for number of dogs weighing under 20 pounds
Answer:
.444....
Step-by-step explanation:
4 out of 9 is 4/9 or 4 ÷ 9 = .444...
Select the correct answer. A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
The expected value of a player's winnings on each roll is equal to: D. $30.00
How to determine expected value of a player's winnings on each roll?In order to determine the expected value of a player's winnings on each roll, we would list all of the outcomes that are associated with rolling a fair six-sided die.
By rolling a fair six-sided die, we would obtain the following outcomes:
Outcomes = 1, 2, 3, 4, 5, and 6.
Generally speaking, there are only two (2) numbers that are multiples of three (3) in a fair six-sided die and these include the following:
Multiples of three (3) = 3 and 6
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 3 × 20 = $60
When a player rolls a three (3), the player's possible winning is giving by:
Player's winning = 6 × 20 = $120
Total winnings = $60 + $120
Total winnings = $180
Now, we can determine the expected value of a player's winnings on each roll:
Expected value = 1/6 × 180
Expected value = $30.
Read more on expected value here: https://brainly.com/question/10675141
#SPJ1
Complete Question:
A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?
A. $3.33
B. $6.66
C. $8.50
D. $30.00
E. $40.00
What is the mode of the following numbers?
9,8, 7, 1,1
Answer:
Step-by-step explanation: 1 is the mode it has the most numbers that repeat
Answer:
The mode is 1.
Step-by-step explanation:
The mode is the number that occurs in a set the most. You can remember this as the word "most" and "mode" sounding similar.
Pls. Help. Lots of points plus Brainliest!
What is 12*12/2+13?
Step-by-step explanation:
[tex]\sf 12 \times \cfrac{12}{2} + 13[/tex]
First, let's divide 12 by 2:-
[tex]\sf 12 \times 6 + 13[/tex]Multiply 12 × 6 :-
[tex]\sf 72 + 13[/tex]Add 72 + 13:-
[tex]\sf 85[/tex]Therefore, your answer is 85!!
____________________
Hope this helps!
Have a great day!!
Given the relation {(3,4),(-2,1),(0,6),
(5,-3)), what is the domain of the
relation? Pls help I’m stressing out about it and ik i SHOULDN’T but I can’t help it tbh
Answer:
I think that the answer is going to be 34-21+6=19
Use the information given to enter an equation in standard form.
Slope is 6, and (1, 8) is on the line.
Answer:
y=6x+2
Step-by-step explanation:
y=mx+c
8=6(1)+c
8=6+c
c=2
y=6x+2
A cartographer graphed the locations of a light house and all of the islands in the vicinity. He positioned the light house at (-7,9) and the farthest island at (61,9). If each
unit on the graph represents 1 mile, then how far away from the light house is the farthest island?
miles
The distance between the light house and the farthest island is 68 miles
The distance between the light house and the farthest island can be calculated by using the distance formula
The distance formula is d=√((x2 – x1)² + (y2 – y1)²).
d=√((61 – (-7))² + (9 – 9)²)
d = √(61 +7)²
d = 68
If each unit on the graph represents 1 mile
There are 68 units in the graph, so the light house is 68 miles away the farthest island
Therefore, The distance between the light house and the farthest island is 68 miles
To learn more about distance formula refer here
https://brainly.com/question/7243416
#SPJ9
using the formula for calculating the number of communication channels, how many channels would five people require?
The number of communication channels, 10 channels would five people require.
To find number of communication channels, we use;
On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.
Number of potential communication channels = n x (n-1)/2
Given n = 5;
→ x = 5*(5 - 1)/2
= 5*2
= 10
The number of communication channels, 10 channels would five people require.
To learn more about communication click here:
https://brainly.com/question/28903982
#SPJ4
rocio is covering the curved surface of a cylindrical podium in wallpaper. the podium is 1.2 meters tall and has a diameter of 0.26 meters. about how much wallpaper does rocio need? a. b. c. d.
The area of wallpaper required is 0.98 [tex]m^{2}[/tex]
What is mensuration ?Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.
Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.
Calculationd = 0.26m
h = 1.2m
s = pi * d * h
= 0.98 square meter
the area of wallpaper required is 0.98 [tex]m^{2}[/tex]
learn more about mensuration here :
brainly.com/question/14312097
#SPJ4
Answer:
0.98 m²
Step-by-step explanation:
I got it right hope this helps.
The mass of 1cm³. of copper is 8.5 grams. Correct to 1.d.p. Complete statement about total mass, T, grams of 12cm³. of copper.
There are 102 grams of copper in 12 cm³ of copper.
What are unit rate?A unit rate means a rate for one of something.
Given that 1 cm³ of copper have mass of 8.5 grams
Therefore, 12 cm³ = 12*8.5 = 102 grams
Hence, There are 102 grams of copper in 12 cm³ of copper.
For more references on unit rate, click;
https://brainly.com/question/11258929
#SPJ1
Given p=q=0
, what is the equation of the line that passes through the points (–p, –q) and (p, q)?
y = –x
y = q
y = 2x + (2p – q)
Equation of the line which passes through the given points (-p ,-q) and
(p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.
As given in the question,
Given condition is :
p ≠ q ≠ 0
Equation of the line which passes through the given points (-p ,-q) and
(p, q) is given by:
(x₁ , y₁) = (-p ,-q)
(x₂ , y₂) = (p, q)
(y -y₁)/ (x -x₁) = (y₂ -y₁)/ (x₂ -x₁)
⇒(y +q)/(x+ p) = (q +q)/(p +p)
⇒(y +q)/ (x +p) = 2q /2p
⇒p(y+ q) =q( x +p)
⇒yp + pq = qx +pq
⇒yp = xq
⇒y = (q /p)x
Therefore, equation of the line which passes through the given points (-p ,-q) and (p, q) where p ≠ q ≠ 0 is given by y = (q/p)x.
The complete question is :
Given p ≠ q ≠ 0, what is the equation of the line that passes through the points (–p, –q) and (p, q)?
A. y = –x
B. y = q/px
C. y = q
D. y = 2x + (2p – q)
Learn more about equation here
brainly.com/question/14686792
#SPJ1
Answer:
b
Step-by-step explanation:
just did it
pls send the correct answer
Centriod!
A centroid is also known as the centre of gravity.
Hope this answers your question!
Answer: centroid
Step-by-step explanation:
What is the y-intercept of the function y = log4 (2x+64) +3?
Answer:
(0, 6)
Step-by-step explanation:
Given function:
[tex]y=\log_4(2x+64)+3[/tex]
The y-intercept of a function is the point at which the curve crosses the y-axis, so when x = 0.
Therefore, to find the y-intercept, substitute x = 0 into the function:
[tex]\implies y=\log_4(2(0)+64)+3[/tex]
[tex]\implies y=\log_4(64)+3[/tex]
Rewrite 64 as 4³:
[tex]\implies y=\log_4(4)^3+3[/tex]
[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies y=3\log_4(4)+3[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies y=3(1)+3[/tex]
[tex]\implies y=3+3[/tex]
[tex]\implies y=6[/tex]
Therefore, the y-intercept of the given function is (0, 6).
Elliot makes and sells key chains. His profit depends on what price he charges for a
key chain.
He writes the expression (x - 10) (60 - 3x) to represent his profit based on the
price per key chain, x.
Enter Elliot's average change in profit for two different sections of the graph.
When charging $15 for a key chain, it is discovered that his maximum profit is $75 using the vertex of the quadratic function.
The vertex of a quadratic equation,
A quadratic equation is given by, [tex]ax^{2} +bx +c[/tex]
The vertex is given by [tex]A (x_{1} ,y_{1} )[/tex]
[tex]x_{1} = \frac{-b}{2a}\\ \\y_{1} = \frac{-b^{2} +4ac }{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.
If a > 0, it will be a minimum point.
The function given is (x -10 ) (60 -3x)
f(x) = (x -10 ) (60 -3x) = 60x -3[tex]x^{2}[/tex] -600 +30x = -3[tex]x^{2}[/tex] +90x -600
So, here a = -3, b = 90 and c = -600
So,
[tex]x_{1} = \frac{-b}{2a}\\ \\x_{1} = \frac{-90}{2*(-3)} = 15[/tex]
[tex]y_{1} = \frac{-b^{2} +4ac }{4a} = \frac{(-90)^{2} + 4*(-3)*(-600) }{4*(-3)} = 75[/tex]
Hence, He can make up to $75 in profit when he charges $15 for a key chain.
To read more about quadratic equations, visit https://brainly.com/question/17177510
#SPJ1
parameters are group of answer choices numerical characteristics of a sample. numerical characteristics of a population. the averages taken from a sample. numerical characteristics of either a sample or a population.
The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.
Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.
Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.
Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.
Hence, the correct answer is Option B.
To know more about Parameters, Click here:
https://brainly.com/question/14019949
#SPJ4
The correct answer is Parameters are described as a group of numerical characteristics of a population.
In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.
Parameters are the numerical portrayal of the characteristics of a population. Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.
Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.
To learn more about Parameters:
brainly.com/question/13794992
#SPJ4
solve for x: 4x-3=2x+7
Answer:
x=5
Step-by-step explanation:
Follow the steps in the image.
-Hope this helped
If you are standing 23 m for a tree and the angle of elevation from where your standing is 35° what is the height of the tree?
Step-by-step explanation:
angLe of elevation= 35°distance from the tree=23mtantither= opp/adj opp=heightadj= 23mtither=35°tan 35=H/230.7002=H/23H=23×0.7002H=16.10man experimenter flips a coin 100 times and gets 56 heads. find the 96.5% confidence interval for the probability of flipping a head with this coin. a) [0.355, 0.615] b) [0.375, 0.665] c) [0.455, 0.665] d) [0.505, 0.510] e) [0.455, 0.465] f) none of the above
The probability of the experiment is = 0.375, 0.665.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
probability that first spin is grey = 6/8probability that second spin is blue = 2/8probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16learn more about probability click here:
brainly.com/question/13604758
#SPJ4
what does it mean for a sample to have a standard deviation of zero? describe the scores in such a sample. when standard deviation is zero, no two scores are exactly the same. when standard deviation is zero, you cannot measure variability. when standard deviation is zero, the scores have no variability. when standard deviation is zero, there are no data points in the sample.
A sample to have a standard deviation of zero means the score has no variability.
When the score has no variability it points towards the standard deviation being zero, This is the case where all the scores in the sample have the exact same value. This means there is no spread in the data set at all. The data set is combined in a single clumped value. Since there is only one value it would be the mean of the data set. The standard deviation measures the spread of a quantitative data set. This number cannot be a non-negative real number.
To learn more about standard deviation and statistics,
https://brainly.com/question/16555520
#SPJ4
Miguel's class just held a class election. 70% of the 30 students in the class voted. How many students voted?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 30}}{\left( \cfrac{70}{100} \right)30}\implies 21[/tex]
Answer: 21
Step-by-step explanation:
70% of 30 students is 21
Hope this helped :)
seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has adjacent desks is %. what is the probability that the married couple will have nonadjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has nonadjacent desks is
The probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
Probability is synonymous with potential. It is a branch of mathematics that studies the occurrence of a random event. The number ranges from 0 to 1. In mathematics, probability has been introduced to predict how likely events are to occur.
Given that
Of 7 new employees, 2 employees are married to each other; these 7 employees are to be assigned 7 desks that are lined up in a row.
If the assignment of the employees to the desks is made randomly, we have to find the probability that the married couple will have adjacent desks and will have non-adjacent desks.
Now, the event that the couple has non-adjacent desks is the complement of the event that they have adjacent desks.
Now, first, let us determine in how many ways can the couple have adjacent desks.
Let us consider the married couple as a single entity, that always stays together.
Then, in total, there are 6 entities; 5 non-related employees and 1 married couple.
Now, these 6 can be arranged among themselves in 6! number of ways.
The married couple can have adjacent desks in 2! ways.
So, the favorable number of cases, in which the couple has adjacent desks, is 6!*2!.
Again, 7 employees can be assigned desks in 7! number of possible ways.
That is, the number of all possible cases is 7!.
This means that
P(The couple has adjacent desks)
=6!*2!/7!
=0.2857.
Now,
P(The couple will have non-adjacent desks)
=1-P(The couple will have adjacent desks)
=1-0.2857
=0.7143
Therefore the probability that the married couple will have adjacent desks is 0.2857and the probability that the married couple will have non-adjacent desks is 0.7143.
To learn more about probability visit
https://brainly.com/question/14210034
#SPJ4
the rabbit population in a certain area is 200%of last years population. There are 700 rabbits this year how many were there last year
Answer:
the answer is 350
Step-by-step explanation:
if it increased by 200% that means it doubled
so when x is doubled we get 700
so: 2x=700
x=700/2
x=350
help meeeeeeeeeeeeeee pleaseee
The vertex of the curve will be at (-2, -4) and the axis of symmetry is at -2
How to illustrate tye information?From the graph, the roots of the equation are -4 and 0, therefore, (x + 4) is a factor and x is also a a factor.
The equation of the curve is the product of the factors of the curve which is y = x(x + 4)
y = + 4x
The x coordinate of the vertex =
will be illustrated as:
-b/2a = axis of symmetry
a and b is the coefficient of x
so a = 1, b = 4
x coordinate of vertex = -4/2 = -2
Then, substitute x = -2 into y = + 4x to find the y-coordinate of the vertex
y = (-2)² + 4(-2)
y = 4 -8
y = -4
vertex = (-2, -4)
The axis of symmetry is -b/2a which is -2
Therefore, the vertex is at (-2, -4).
Learn more about parabola: brainly.com/question/4061870
#SPJ1
9x + 7y = 3
x - 7y=-8
Answer:
The point at which these lines intersect is (-0.50, 1.07). We can solve this in two ways: mathematically or graphically. Both are described.
Step-by-step explanation:
We have 2 equations, so we'll assume that the question is to find if they intersect, and if they do, where is the point of intersection.
Let's rewite the equations in slope-intercept format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
1) 9x + 7y = 3
7y = -9x + 3
y = -(9/7)x + (3/7) This line has a slope of -(9/7) and a y-intercept of +(3/7).
2) x - 7y=-8
-7y = -x - 8
y = (1/7)x + (8/7) This line has a slope of (1/7) and an intercept of (8/7)
The line have different slopes, so they will intersect. We can find the intersection point by either graphing or by substitution. We'll do both:
Substitution
We'll rearrange one equation in terms of x and then use that value of x in the second equation. Thuis has the effect of eliminating one of the variables (x or y) so that we can solve for the remaining value of x or y,
We've rearranged both equations so that they have y equal to an expression involving x. If the lines intersect, we know that y in both equations will be the same at that point, so set the equations equal to each other and solve for x:
y = -(9/7)x + (3/7)
y = (1/7)x + (8/7)
Therefore: -(9/7)x + (3/7) = (1/7)x + (8/7)
-(9/7)x -(1/7)x = + (8/7) - (3/7)
-(10/7)x = +(5/7)
x = (5/7)*(-7/10)
x = (-35/70)
x = -0.50
Now we can use this value of x to find y:
9x + 7y = 3
9(-0.50) + 7y = 3
-4.5 + 7y = 3
7y = 3+4.5
y = (7.5/7)
y = 1.07
The point at which these lines intersect is (-0.50, 1.07)
Graphing:
We can also graph the two equations and then look for the intersection. See the attached graph. The lines intersect at (-0.50, 1.07)
The mathematical approach has more certainty, since it does not require interpreting the intersection point on a graph. Use the graphing approach to check the conclusion from the substitution approach.
