Answer:
\(b.\:\: 524 \: {mm}^{3} \)
Step-by-step explanation:
\(V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} \)
What the measurements for b ? * just different problems*
What is the central idea of the poem animals write its style also?
Central Idea of the Poem; In the poem ‘Animals’, the poet Walt Whitman praises animals for being better than human beings and for possessing all such qualities that humans lack or have forgotten.
The poem Animals' central theme is that humans might get wisdom and virtues from the animals they formerly owned but have since lost.
The poet claims that animals possess many admirable traits like self-control, impartiality, and tranquility.
The comparison of people to animals in order to emphasize the shortcomings in human nature is the poem's main focus rather than praising how wonderful animals are.
The poet thinks that possibly people once possessed all of the virtues listed above, but that they have since lost them.
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pls i need some ones help
Find the perimeter of the above shape to the nearest whole number take pi as 22/7
The unshown part is 16cm
Answer:
60.
Step-by-step explanation:
I can't see the question above this and what information it gives, but If I'm not mistaken, that shape is a rectangle, so regardless of whether there's a piece of the last side missing, the sides across from each other are congruent in size.
So if the top is 14, then the bottom is 14, and since the left side is 16, then the side missing a piece adds up to 16.
(14*2) + (16*2) =
28 + 32 = 60.
help help help help help help
When equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.
What are graph equations?Equations with graphs as unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory.Different graph equations may be used to express the aforementioned graphs.So, the equations are graphs are:
Given equation: f(x) = 3x + 4Which is transform to equation: h(x) = f(x + 3)Now, graph both equations as follows:
Both equations are parallel to each other.(Refer to the graph attached below)Therefore, when equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.
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what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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Write the equation for the following story: jada’s teacher fills a travel bag with 5 copies of a textbook. the weight of the bag and books is 17 pounds. the empty travel bag weighs 3 pounds
The equation for this story is:3 + 5x = 17 where x represents the weight of each textbook in pounds.
Let the weight of each textbook be x pounds.Jada's teacher fills a travel bag with 5 copies of a textbook, so the weight of the books in the bag is 5x pounds.The empty travel bag weighs 3 pounds. Therefore, the weight of the travel bag and the books is:3 + 5x pounds.Altogether, the weight of the bag and books is 17 pounds.So we can write the equation:3 + 5x = 17Now we can solve for x:3 + 5x = 17Subtract 3 from both sides:5x = 14Divide both sides by 5:x = 2.8.
Therefore, each textbook weighs 2.8 pounds. The equation for this story is:3 + 5x = 17 where x represents the weight of each textbook in pounds. This equation can be used to determine the weight of the travel bag and books given the weight of each textbook, or to determine the weight of each textbook given the weight of the travel bag and books.
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long divison divide 664 and 1600
Answer:
272, remainder 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.41
I got a very long number but then I rounded to the nearest hundreth
2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by
Answer:
6.4, 7.5, 8.6adding 1.1 each time
equation of the line that is parallel to x-3y=9 and passes through the point (-10,9)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)
\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)
What is the probability that , in a group of 200 random people , at least two of them have the same triple of initials (such as JTK for James Tiberius Kirk)
The probability is P(X >= 2).
200 random people, n = 200
Let us consider the Binomial expression
i.e.,
P(X = r) = nCr*p^r*q^(n-r)
Here we have to assume that the 3 initials are equally likely events.
i.e.,
p = 1/3
q = 1 - 1/3
= 2/3
Required probability = P(X >= 2)
= 1 - [P(X = 0) + P(X = 1)]
= 1 - [200C0*(1/3)^0*(2/3)^200 + 200C1*(1/3)^1*(2/3)^199]
= 1 - [1*1*(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - [(2/3)^200 + 200*(1/3)*(2/3)^199]
= 1 - (2/3)^200 - 200*(1/3)*(2/3)^199
Probability is truly how possibly something is to happen. every time we're unsure about the final results of an event, we will talk about the possibilities of certain consequences and how probably they are. The evaluation of events ruled by means of possibility is called records.
3 styles of probability
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A triangle has side lengths of 16 cm and 6 cm. Which could be the value of the third side, 23 cm or 20 cm? The value (select) cm is the value of the third side.
Answer:
15 cm
Step-by-step explanation:
The chances that a student will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS is 40%. Suppose that 20 students are selected at random then find a probability that i)Exactly 12 students will get 7 marks out 10 in the Quiz. ii)Fewer than 10 students will get 7 marks out 10 in the Quiz. iii)At least 5 students will get 7 marks out 10 in the Quiz.
Answer:
i) \(P(X=12)=0.0355\)
ii) \(P(X<10)=0.7553\)
iii) \(P(X\geq 5)=0.9490\)
Step-by-step explanation:
Let's start by defining the random variable ⇒
\(X:\) '' Number of students that will get 7 marks out of 10 in first attempt of a certain Quiz while attempting Quiz on BlackBoard LMS ''
\(X\) is a discrete random variable.
The probability of a randomly selected student getting 7 marks out of 10 is 0.4
(This is a data from the question).
Now, if we assume independence between the students while they are doing the Quiz and also we assume that this probability remains constant , we can modelate \(X\) as a binomial random variable ⇒
\(X\) ~ Bi (n,p)
Where ''n'' and ''p'' are the parameters of the variable.
''n'' is the number of students attempting the Quiz and ''p'' is the probability that a student will get 7 marks out of 10 which is 0.4 ⇒
\(X\) ~ Bi (20, 0.4) in the question.
The probability function for \(X\) is
\(p_{X}(x)=P(X=x)=\left(\begin{array}{c}n&x\end{array}\right)p^{x}(1-p)^{n-x}\) (I)
Where \(\left(\begin{array}{c}n&x\end{array}\right)\) is the combinatorial number define as
\(\left(\begin{array}{c}n&x\end{array}\right)=\frac{n!}{x!(n-x)!}\)
Replacing the parameters in the equation (I) ⇒
\(P(X=x)=\left(\begin{array}{c}20&x\end{array}\right)(0.4)^{x}(0.6)^{20-x}\) (II)
For i) we need to find \(P(X=12)\)
Then, we only need to replace by \(x=12\) in equation (II) ⇒
\(P(X=12)=\left(\begin{array}{c}20&12\end{array}\right)(0.4)^{12}(0.6)^{8}=0.0355\)
For ii) we need to calculate \(P(X<10)\)
This probability is equal to ⇒ \(P(X<10)=P(X\leq 9)\) and to calculate it we need to sum \(P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\)
\(+P(X=6)+P(X=7)+P(X=8)+P(X=9)\)
We can do it summing each term or either using any program.
The result is \(P(X<10)=P(X\leq 9)=0.7553\)
Finally for iii) we need to find ⇒ \(P(X\geq 5)\)
This probability is equal to ⇒ \(P(X\geq 5)=1-P(X\leq 4)\) ⇒
\(1-P(X\leq 4)=1-[P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)]\)
Again we can find each term by using the equation (II) or either using a program. The result is \(P(X\geq 5)=0.9490\)
Which of the following triangles describes AA similarity?
The triangles AEB and DEC describes AA similarity .
What is AA Similarity ?
Two triangles are said to be congruent by AA Similarity when two angles in one triangle are congruent to two angles in another triangle .
In the question ,
a figure is given .
in triangle AEB and triangle DEC ,
we can see that ,
∠AEB ≅ ∠DEC , because they are vertically opposite angles .
On rotating triangle CED by 180° around the point E, then the translate point D to point A confirms ∠EAB ≅ ∠EDC.
Since two angles are Congruent
So , By AA Similarity , triangles AEB and DEC are Congruent .
Therefore , the triangles AEB and DEC are Congruent .
The given question is incomplete , the complete question is
Which of the following triangles in the given figure describes AA similarity ?
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Let H be a subgroup of a group G. Prove that the number of conjugates of H in G is |G:N(H)|.
The number of conjugates of H in G is equal to the index [G:N(H)] of H in G.
To prove that the number of conjugates of H in G is |G:N(H)|, where N(H) is the normalizer of H in G, we need to show that there is a bijection between the set of conjugates of H in G and the set of left cosets of N(H) in G.
Let g be an element of G. Then the conjugate of H by g is given by gHg^(-1), which is the set of all elements ghg^(-1) for h in H. We need to show that every conjugate of H in G can be written in this form for some g in G, and that distinct elements g and g' give rise to distinct conjugates.
Let C be a conjugate of H in G. Then there exists some g in G such that C = gHg^(-1). Let N(H) denote the normalizer of H in G, which is the set of all elements of G that commute with every element of H. Since gHg^(-1) is a conjugate of H, we have gHg^(-1) = hHh^(-1) for some h in G. This implies that gh is in N(H), so gHg^(-1) = (gh)H(gh)^(-1) is a left coset of N(H) in G. Therefore, every conjugate of H in G can be written as a left coset of N(H) in G.
Now, we need to show that distinct elements g and g' give rise to distinct conjugates. Suppose that gHg^(-1) = g'Hg'^(-1) for some g, g' in G. Then g'^(-1)g is in the normalizer of H, so g'^(-1)gH = Hg'^(-1)g. This implies that g and g' belong to the same left coset of N(H) in G. Therefore, the number of conjugates of H in G is equal to the number of left cosets of N(H) in G, which is |G:N(H)| by the definition of index.
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Fill in the blanks to make each equation true.
Answer:
A = -1
B = -3/2 C = 4
D = 1/2
An analysis of regression measures only the variance in ____ because it is the value we want to predict.
Answer:
Y is the awnser
Step-by-step explanation:
Complete the square to solve the equation below. *
x2 – 8x + 10 = 0
rotate point x (0,0)) 270 degrees clockwise about the origin then T<3,5>
here this probally will help
Answer:
5, 3
Step-by-step explanation:
Find sin 0. Please and thank you
Answer:
the correct answer is C....I hope
So for math class they gave me this equation and it is 6 ÷ 3(1+2) it makes no sense, I just keep getting stumped
Answer:
The answer is 6.
Step-by-step explanation:
6 ÷ 3 = 2
2+4 = 6
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)
Part C: How many more dollars does Harry earn working as a babysitter for 5 hours than doing yard work for 5 hours? Show your work. (3 points)
Part A: The Numbers of Hours and Money earned are being divided by 6 , to solve you need to multiply and divide the numbers by 6 therefore it's 48, and 11.
Part B: Just like Part A Multiplying 6 but this time 7. |5 x 7 = 35| 6 x 7 = 42| 8 x 7 = 56. (I think lol)
Part C: Collins Makes $5 more when working for 5 hours.
Hope this Helped! <3
Problem 5.5 (Video 4.1 - 4.7, Lecture Problem) You are manufacturing parts that have quite a bit of variability in their quality. Let us model this by sayingXis Uniform[1,2]. The lifetime of a part is modeled byY, and we know thatYgivenX=xisExponential(x). (a) AreXandYindependent? (b) What is the jointPDFfX,Y(x,y)? (c) CalculateP[Y<1]. (d) Determine the marginal PDFfY(y). (e) Find the expected value ofYusingfY(y). (f) Find the conditional expected valueE[Y∣X=x]ofYgivenX=x. (This should be in closed form.) (g) UsingE[Y]=E[E[Y∣X]]find the expected value ofY. (This should be in closed form.) (h) What isE[X+Y]? (This should be in closed form.) (i) Solve forE[XY]
The expected value is the arithmetic mean of a large number of independently selected outcomes of a random variable.
a) No, X and Y are not independent since the lifetime of a part (Y) is modeled by X.
b) The joint PDF fX,Y(x,y) = x-1exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.
c) P[Y < 1] = 1 - exp(-x) for 1 ≤ x ≤ 2.
d) The marginal PDF fY(y) = exp(-xy) for 1 ≤ x ≤ 2, y ≥ 0, 0 otherwise.
e) The expected value of Y using fY(y) is 1/x for 1 ≤ x ≤ 2.
f) The conditional expected value of Y given X = x is 1/x for 1 ≤ x ≤ 2.
g) Using E[Y] = E[E[Y∣X]], the expected value of Y is 1.
h) The expected value of X + Y is 2.
i) The expected value of XY is 1.
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The following table represents the number of tickets purchased at a movie theatre and the cost of purchase.
# of Tickets Cost
2
$12
4
$24
6
$36
8
$48
The number of tickets purchased varies directly with the total cost of the purchase. Determine the constant of variation.
$24.00
$0.17
$12.00
$6.00
Answer:
$6.00
Step-by-step explanation:
# of tickets is going up by 2
cost is going up by 12
12 / 2 = 6
A gym membership costs for $40 for each month.
The cost of the membership for 12 months will be
Answer:
$480
Step-by-step explanation:
40 × 12 = 480
I Dracula has a goal of having 100 bracelets made in total, how long will it take him minutes?
It will take Dracula 195 minutes to make enough bracelets to reach his goal of 100 bracelets in total.
To find out how long it will take Dracula to make 100 bracelets in total, we need to consider the 22 bracelets he already has and how many more he needs to make. Hence,
1: Determine how many more bracelets are needed.
100 (goal) - 22 (initial) = 78 bracelets
2: Calculate the number of 15-minute intervals required to make the remaining bracelets.
Dracula makes 6 bracelets every 15 minutes, so we divide 78 (bracelets needed) by 6 (bracelets per interval).
78 ÷ 6 = 13 intervals
3: Find out how long it takes in minutes.
Each interval is 15 minutes long, so we multiply 13 (intervals) by 15 (minutes per interval).
13 × 15 = 195 minutes
Hence, based on the information provided it will take Dracula 195 minutes to reach his goal of 100 bracelets in total.
Note: The question is incomplete. The complete question probably is: Dracula is making bracelets for a charity fund-raiser. He already had 22 bracelets that his friend gave him and he adds 6 more bracelets every 15 minutes. If Dracula has a goal of having 100 bracelets made in total, how long will it take him minutes?
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Given the quadratic expression, find the value of C to complete the square. Then write the expression as a binomial squared.
x^2-18x+C
Answer:
\((x - 9)^{2} \)
Answer:
81
Step-by-step explanation:
Move −18x, so
x^2+c−18x
To find the c value
c =(b/2)^2
divide the coefficient of x by 2 and square the result.
Divide 18 by 2
(-1⋅9)^2
Multiply −1 by 9
(−9)^2
Raise −9 to the power of 2 and get your answer
=81
2. Read each question. Then write the letter of the correct answer on your paper.Solve the equation a x²+b x+c=0 for b .
(F) b=-c x-a x² (H) b=-(c x-a x²) (G) b=-c-a x² / x Ib=-(c-ax²)/x
Solution of the equation a x ² + b x + c = 0 for b is b = ( - c - a x ² ) / x
Given,
the polynomial to be solved
a x ² + b x + c = 0
Solving the equation for b implies that we get the value of b from the above given polynomial
We can solve the given polynomial a x ² + b x + c = 0 by rearranging the terms of the polynomial and taking the LHS as b and the RHS as a term consisting of a, c and x
a x ² + b x + c = 0
=> b x = - c - a x ²
=> b = ( - c - a x ² ) / x
This gives us the required answer. It matches with option G among the given multiple choices.
Therefore, we get the solution of the equation a x ² + b x + c = 0 for b as b = ( - c - a x ² ) / x
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The vector u has magnitude 3 and direction 160°. If vector v = 2u, then what is
the magnitude and direction of vector v?
Therefore, the magnitude of vector v is 6 and its direction is 160°.
What is magnitude?Magnitude generally refers to the size or extent of something. The term is often used in different contexts, and its meaning can vary depending on the specific field or area of application. Here are a few examples of how magnitude can be defined in different contexts:
Physics: In physics, magnitude usually refers to the size or amount of a physical quantity, such as distance, speed, acceleration, force, or energy. Magnitude can be measured in various units, such as meters, seconds, meters per second, Newtons, or Joules.
Earthquakes: In seismology, magnitude is a measure of the strength or intensity of an earthquake, which is usually expressed on the Richter scale or the moment magnitude scale. The higher the magnitude, the more energy is released by the earthquake, and the stronger its impact on the ground and structures.
The magnitude of vector v is given by:
|v| = |2u| = 2|u| = 2(3) = 6
Therefore, the magnitude of vector v is 6.
The direction of vector v is the same as the direction of vector u, since multiplying a vector by a scalar does not change its direction, only its magnitude. So the direction of vector v is also 160°.
Therefore, the magnitude of vector v is 6 and its direction is 160°.
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hiii please help i’ll give brainliest if you give a correct answer tysm!
Answer: The answer is 30
Step-by-step explanation:
on the ratio table you have to multiply so if you do 6x30 that gets you 180
Question What is the value of 238−3x2 when x = 4? Responses 226 222 190 110
giving 100 points to who answers first and are right
The value of the expression 238−3x² when x = 4 is 190 , the correct option is (c).
In the question ,
it is given that the expression is 238−3x²
Let , the value of the expression be y ,
which means
y = 238−3x²
to find the value of the expression at x = 4 , we put x = 4 in the expression ,
On substituting x = 4 , we get
y = 238 - 3(4)²
= 238 - 3*16
= 238-48
= 190
the value of the expression \(=\) 190 .
Therefore , The value of the expression 238−3x² when x = 4 is 190 , the correct option is (c) .
The given question is incomplete , the complete question is
What is the value of 238−3x² when x = 4?
(a) 226
(b) 222
(c) 190
(d) 110
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