The solution of the probability question of best prediction possible for the number of times you will pick a blue or a green marble is 31 or 32
What do you mean by Probability?
Assuming that the marbles in the bag are uniformly distributed and there are only two colors, blue and green, the probability of picking a blue or green marble on any given draw is 1/2.
Since the draws are independent, the number of blue or green marbles selected follows a binomial distribution with parameters n = 63 (the number of trials) and p = 1/2 (the probability of success on any trial).
The expected value of a binomial distribution is given by E(X) = n*p, where X is the random variable representing the number of successes. Therefore, in this case, the expected number of times you will pick a blue or green marble is:
E(X) = np = 63(1/2) = 31.5
Since you cannot have a fractional number of successes, the best prediction possible for the number of times you will pick a blue or green marble is 31 or 32, depending on whether you round up or down.
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What is the area of this parallelogram? A = 31.2 ft^2 A = 35 ft^2 A = 47 1 / 2 ft² A = 662 ft^2
Answer:
C
Step-by-step explanation:
the area (A) of the parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
here b = 9 \(\frac{1}{2}\) and h = 5 , then
A = 9 \(\frac{1}{2}\) × 5 = 47 \(\frac{1}{2}\) ft²
What is the perimeter of a square which has the same area as a circle
with circumference of 471?
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=471 \end{cases}\implies 471=2\pi r\implies \cfrac{471}{2\pi }=r \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \implies A=\pi \left( \cfrac{471}{2\pi } \right)^2\implies A=\pi\cdot \cfrac{471^2}{4\pi^2} \implies A=\cfrac{471^2}{4\pi }\)
\(\textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=side\\[-0.5em] \hrulefill\\ A=\frac{471^2}{4\pi } \end{cases}\implies \cfrac{471^2}{4\pi }=s^2\implies \sqrt{\cfrac{471^2}{4\pi }}=s \implies \cfrac{471}{2\sqrt{\pi }}=s \\\\\\ \stackrel{\textit{perimeter of a square}}{4s\implies 4\left( \cfrac{471}{2\sqrt{\pi }} \right)}\implies \cfrac{942}{\sqrt{\pi }}~~ \approx~~531.47\)
Can someone help me pls
Answer:
No solution
Step-by-step explanation:
A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.
Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect
To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.
For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get
3x-2=y
3x+3=y
Since the x and y values must be the same, we can say that
3x-2=3x+3
subtract 3x from both sides
-2 = 3
Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations
What is the value of the expression 2x2 + 5x – 6 when x = 2?
Answer:
2×2^2 +5×2 -6
= 2×4 +10 -6
= 8+10-6
= 18-6
= 12
11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answer:
7 x = -35
Step-by-step explanation:
Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.
- 7 x = negative 35
- 7 x = 35
7 x = negative 35
7 x = 35
In this problem we need to add the equations below i.e.
11x-3y = -17 and -4x+3y=-18
Adding both equations,
11x-3y+(-4x)+3y = -17+(-18)
7x= -35
or
7 x = negative 35
Hence, the correct option is (c).
suppose that the p.d.f of a random variable x with a continuous distribution is f(x) = 2x 0 < x < 1. find the expectation of 1/x
Thus, the expectation of 1/x for random variable x the given pdf is 2.
To find the expectation of 1/x, we need to compute the expected value E(1/x) for the given probability density function (pdf) f(x) = 2x, where 0 < x < 1.
The expected value E(1/x) is calculated using the following integral:
E(1/x) = ∫[1/x * f(x)] dx, evaluated over the range 0 < x < 1.
Substitute f(x) = 2x into the integral:
E(1/x) = ∫[(1/x) * (2x)] dx, from x = 0 to x = 1.
Simplify the integral:
E(1/x) = ∫2 dx, from x = 0 to x = 1.
Now, integrate and evaluate:
E(1/x) = [2x] from x = 0 to x = 1.
E(1/x) = 2(1) - 2(0) = 2.
So, the expectation of 1/x for the given pdf is 2.
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PLS HELP
Triangle △A′B′C′ is the image of △ABC under a rotation about the origin, (0,0).
Determine the angle of rotation.
Choose 1 answer:
(Choice A)
−105
(Choice B)
−75
(Choice C)
75
(Choice D)
105
Answer:-75
Step-by-step explanation:
Khan Academy
Answer:
-75
Step-by-step explanation:
trust
Andy solve an equation as shown below. What error did Andy make?
Answer:
Step-by-step explanation:
Whatever you do to the left you must do to the right, he multiplied 12 but forgot to multiply the -4 on the left and the + 1 on the right by the number 12
whenever a percentage, average or some other analysis value is computed with a sample's data, we refer to it as: a. a designated statistic. b. a sample finding. c. computed value. d. a composite estimate.
The correct answer is option (c): computed value. Whenever a percentage, average or some other analysis value is computed with a sample's data, we refer to it as a computed value.
When analyzing data from a sample, we often calculate various statistical measures to summarize and make inferences about the population from which the sample is drawn. These measures can include percentages, averages, and other analysis values.
Option a. "A designated statistic" is not the appropriate term because it implies that the statistic has been assigned a specific role or designation, which may not be the case. The computed value is not necessarily designated as a specific statistic.
Option b. "A sample finding" is not the most accurate term because it suggests that the computed value represents a specific finding from the sample, whereas it is a general statistical measure derived from the sample data.
Option d. "A composite estimate" is not the best choice because it typically refers to combining multiple estimates to obtain an overall estimate. Computed values are individual measures, not a combination of estimates.
Therefore, the most suitable term is c. "Computed value," as it accurately describes the process of calculating statistical measures from sample data. It signifies that the value has been derived through mathematical calculations based on the data at hand.
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I Need Help again Pls fast
Answer:
The scale factor is 60
Step-by-step explanation:
The drawing is measured in inches and the billboard is measured in feet. First, convert 15 feet to 180 inches. Then use the ratio \(\frac{180}{3}\) to find that the scale factor is 60. This means the length of the billboard will be 600 inches or 50 feet.
what is this pleasee i give brainliest
The Slope of the line is -3/2
How to find Slope of the Line ?By Substituting x=26
=1/9/8*26+8/3
=-3/2
The slope formula is as follows if P(x1,y1) and Q(x2,y2) are the two points on a straight line:Slope, m = Y-coordinate change / X-coordinate changem = (y2 – y1)/(x2 – x1) (x2 – x1)As a result, using the formula above, we can quickly determine the slope of a line connecting two locations.The rise of the line from one point to another (along the y-axis) over the run is another way to describe the slope of a line between two points (along x-axis). A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.To learn more about Slope of the Line refer to:
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Factorise by using the product-sum method: x² + 11x + 24 *
Answer:
(x+3)(x+8)
Step-by-step explanation:
x² + 11x + 24 = (x+3)(x+8)
Fill in the gaps in the following sentences:
a) Widening a pair of compasses by 1 cm
increases/decreases the radius of the circle
that is drawn by
cm.
b) Widening a pair of compasses by 1 cm
increases/decreases the diameter of the
circle that is drawn by
cm.
The requried solutions are as follows,
a) Widening a pair of compasses by 1 cm increases the radius of the circle that is drawn by 1 cm.
b) Widening a pair of compasses by 1 cm increases the diameter of the circle that is drawn by 2 cm.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).
here,
a)
Since
radius = r + 1
Widening a pair of compasses by 1 cm increases the radius of the circle that is drawn by 1 cm.
b)
Diameter (initial) = 2r
Diameter = 2(r + 1)
Diamteter = 2r + 2
Dimater = Diameter(initial) + 2
Widening a pair of compasses by 1 cm increases the diameter of the circle that is drawn by 2 cm.
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BERE
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What
is the slope of the line that passes through the points?
Vx
2.
3
Ο Ο Ο Ο
6
9
Save and Exit
Next
Submit
Mark this and return
Answer:
2Step-by-step explanation:
The slope is the ratio of difference of y- coordinates by the difference of x- coordinates:
m = 6/3 = 2Step-by-step explanation:
Given : -
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6To find : -
Slope?Solution : -
m = 6/3 = 2 option (A.)
can you find the area for this?
Answer:
I think it's C) 18.5ft^2
it's just an educated guess though I haven't worked on area in a while
Answer:
\(18.5ft^{2}\)
Step-by-step explanation:
\(A=(5*2.1)+(.5*2*5)+(.5*1.2*5)=18.5ft^{2}\)
A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in six seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?
Answer:
The mama bear can do it in 9
seconds. The cub can do it in 18
seconds.
Step-by-step explanation:
1/x+9+1/x=1/6
Using the together rate, it is found that it would take each bear 9 hours to open the car door alone.
What is the together rate?The together rate is the sum of each separate rate.
In this problem, the rates are as follows:
Given
A tourist ignores the warning signs and leaves food in his car while he goes for a hike.
A mama bear and her cub open the car door in six seconds.
Together with rate: 1/6.
Mama's rate: 1/x.
Cub's rate: 1/(x + 9).
Therefore,
\(\rm \dfrac{1}{x}+\dfrac{1}{x+9}=\dfrac{1}{6}\\\\\dfrac{x+9+x}{x(x+9)}=\dfrac{1}{6}\\\\\dfrac{2x+9}{x(x+9)}=\dfrac{1}{6}\\\\ 6(2x+9)=x(x+9)\\\\12x+54=x^2+9x\\\\x^2+9x-12x-54=0\\\\x^2-3x-54=0\\\\ x^2+6x-9x-54=0\\\\ x(x+6)-9(x+6)\\\\(x-9)(x+6)=0\\\\x-9=0 \ x=9\\\\x+6=0 \ x=-6\)
The value of time can not be negative.
Hence, It would take each bear 9 hours to open the car door alone.
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Select all the correct answers.
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
3.844E5 kilometers
3.844 × 105 kilometers
3.844E-5 kilometers
3.844E-6 kilometers
3.844 × 106 kilometers
3.844E6 kilometers
3.844 × 10-6 kilometers
3.844 × 10-5 kilometers
Answer:
3.844 x 10^5
3.844E-5
3.844 × 10-5 kilometers
Step-by-step explanation:
If two angles are congruent, then they have the same measure.
Hypothesis:
Conclusion:
Hypothesis: If two angles are congruent.
Conclusion: Then they have the same measure.
The hypothesis states that if two angles are congruent, which means they are identical in shape and size, then the conclusion is that they have the same measure. In other words, when two angles are congruent, their measures are equal.
Angles are typically measured in degrees or radians. When we say that two angles are congruent, it implies that the measures of those angles are the same. This can be understood through the transitive property of congruence, which states that if two angles are congruent to a third angle, then they are congruent to each other.
For example, if angle A is congruent to angle B, and angle B is congruent to angle C, then it follows that angle A is congruent to angle C. This implies that the measures of angle A and angle C are equal, as congruent angles have the same measure.
In conclusion, the hypothesis that if two angles are congruent implies that they have the same measure is valid and supported by the principles of congruence and the transitive property.
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solve
2/5-4x>2(1-x)
Answer:
\(\frac{-2}{5}\) > x
or x < \(\frac{-2}{5}\)
Step-by-step explanation:
\(\frac{2}{5}\) - 4x > 2(1 - x) Distribute the 2
\(\frac{2}{5}\) - 4x > 2 - 2x Add 4x to both sides
\(\frac{2}{5}\) - 4x+ 4x > 2 - 2x + 4x Combine like terms
\(\frac{2}{5}\) > 2 + 2x Subtract 2 from both sides
\(\frac{2}{5}\) - 2 > 2 - 2 + 2x Combine like terms
\(\frac{2}{5}\) - \(\frac{10}{5}\) > 2x
\(\frac{-8}{10}\) > 2x Divide both sides by 2
\(\frac{-8}{10}\)÷ 2 > 2x ÷2
\(\frac{-8}{10}\) ÷\(\frac{20}{10}\) = \(\frac{\frac{-8}{20} }{\frac{10}{10} }\) = \(\frac{\frac{-8}{20} }{1}\) = \(\frac{-8}{20}\) = \(\frac{-2}{5}\)
\(\frac{-2}{5}\) > x
Helping in Jesus' name.
What is 0.514 written as a power of 10
Answer:
514 x 10^-3
Step-by-step explanation:
What is the value of -16?
Answer:
the answer would be -4
Step-by-step explanation:
How do you write a polynomial function of least degree with integral coefficients that has the given zeros -3, -1/3, 5?
A polynomial function of least degree with integral coefficients that has the zeros -3, -1/3, and 5 is \(f(x) = 9x^3 - 15x^2 - 141x - 45.\)
To write a polynomial function of least degree with integral coefficients that has the zeros -3, -1/3, and 5, we can use the fact that if a polynomial has a zero at a particular value, then the corresponding factor is (x - zero).
In this case, the zeros are -3, -1/3, and 5, so the corresponding factors are (x - (-3)), (x - (-1/3)), and (x - 5), respectively.
Let's multiply these factors to obtain the polynomial:
(x - (-3))(x - (-1/3))(x - 5)
Simplifying each factor:
(x + 3)(x + 1/3)(x - 5)
Now, let's multiply these factors together:
(x + 3)(x + 1/3)(x - 5) = (3x + 9)(3x + 1)(x - 5)
Expanding the expression:
(3x + 9)(3x + 1)(x - 5) = (9\(x^2\) + 3x + 27x + 9)(x - 5)
= (9\(x^2\) + 30x + 9)(x - 5)
= \(9x^3 - 45x^2 + 30x^2 - 150x + 9x - 45\)
= \(9x^3 - 15x^2 - 141x - 45\)
Therefore, a polynomial function of least degree with integral coefficients that has the zeros -3, -1/3, and 5 is \(f(x) = 9x^3 - 15x^2 - 141x - 45.\)
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A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season? In the entire season, the basketball player would score points.
Answer:
the awnser is 300
Step-by-step explanation:
Answer:
300 points
Step-by-step explanation:
What is 2 2/3 in radical form step by step
The radioactive element plutonium 238 (Pu-238) has a half-life of 88 years. This means that the element loses half of its mass every 88 years. A sample of Pu-238 has a mass of N grams today. How do you determine the amount of the sample remaining after 352 years (4 half-lives)?
Answer:
Uhhhhhh plz someone answer this persons question....cus I need it as well
Step-by-step explanation:
i have a slight feeling the answer ain’t 21
Answer:
I think it is
Step-by-step explanation:
4,8,5,15,6,12,7,6
8,5,15,6,12,7
5,15,6,12
15,6
15+6=21
EASY question for y’all mathy people! Easy points, i’m just not a mathy person. question in photo.
Answer:
C
Step-by-step explanation:
This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.
Answer:
C
Step-by-step explanation:
It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.
In Exercises 19-20, find scalars c1, c2, and cz for which the equation is satisfied. 19. C1(1,-1,0) + c2(3, 2, 1) + c3(0, 1, 4) = (-1, 1, 19) 20.c(-1,0, 2) + c2(2,2, -2) + c3(1, -2, 1) = (-6, 12, 4) 21. Show that there do not exist scalars C1, C2, and cz such that c(-2,9,6) + c2(-3, 2, 1) + c3(1,7,5) = (0, 5,4)
1. To find scalars c1, c2, and c3 that satisfy the equation C1(1, -1, 0) + C2(3, 2, 1) + C3(0, 1, 4) = (-1, 1, 19), we can set up a system of linear equations by equating the corresponding components of both sides of the equation.
Equating the x-component: C1 + 3C2 + 0C3 = -1
Equating the y-component: -C1 + 2C2 + C3 = 1
Equating the z-component: 0C1 + C2 + 4C3 = 19
Solving this system of equations will give us the values of c1, c2, and c3 that satisfy the equation.
Similarly, for the equation c(-1, 0, 2) + c2(2, 2, -2) + c3(1, -2, 1) = (-6, 12, 4), we set up a system of linear equations:
Equating the x-component: -c1 + 2c2 + c3 = -6
Equating the y-component: 0c1 + 2c2 - 2c3 = 12
Equating the z-component: 2c1 - 2c2 + c3 = 4
Solving this system of equations will give us the values of c1, c2, and c3 that satisfy the equation.
2. To show that there do not exist scalars c1, c2, and c3 such that c(-2, 9, 6) + c2(-3, 2, 1) + c3(1, 7, 5) = (0, 5, 4), we again set up a system of linear equations:
Equating the x-component: -2c1 - 3c2 + c3 = 0
Equating the y-component: 9c1 + 2c2 + 7c3 = 5
Equating the z-component: 6c1 + c2 + 5c3 = 4
By solving this system of equations, we can determine if there are any solutions that satisfy the equation. If no solutions exist, then it can be concluded that there do not exist scalars c1, c2, and c3 that satisfy the equation.
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Add (1.3t3 + 0.4t2 – 24t) + (8 – 18t + 0.6t2)
For each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically.
1.3t3 + 0.4t2 + (–24t)
+ A. B. C. D
= 0.6t2
= 0t3
= 8
= –18t
On adding the given polynomials, 1.3t³+0.4t²-24t and 8-8t+0.6t² we will get 1.3t³+t²-32t+8
What is a polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
For example of a polynomial of a single indeterminate x is x² − 4x + 7.
Given that, two polynomials, 1.3t³+0.4t²-24t and 8-8t+0.6t², we need to add them,
= (1.3t³+0.4t²-24t) + (8-8t+0.6t²)
= 1.3t³+0.4t²-24t + 8-8t+0.6t²
= 1.3t³+t²-32t+8
Hence, on adding the given polynomials, 1.3t³+0.4t²-24t and 8-8t+0.6t² we will get 1.3t³+t²-32t+8
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Answer:
b = 0.6t2
a = 0t3
d = 8
c = –18t
Step-by-step explanation:
solve for m please will give brainlest
Answer:
55 degrees
Step-by-step explanation:
sum of all angles of a triangle equal 180
to find x we add them all and set them equal to 180
(57+x)+(72+x)+55=180
129+2x+55=180
184+2x=180
-184. -184
2x= -4
/2. /2
x=-2
now to find angle A
57+(-2)
55
hopes this helps