Answer:
option B
Step-by-step explanation:
[tex]P(x =x) [{\frac{1}{6} ;x =1,2,3...6][/tex]
[tex]E (x) = \frac{6+1}{2} =\frac{7}{2} =3.5\\\\E(x)=3.5[/tex]
Given random experiment of tossing of 6 sided dice is follow above distribution
Therefore, suppose x₁, x₂ ...x₁₀ are 10 independent and indentical random variable which represent first 10 rolls
Average of first 10 rows equals
[tex]\bar x_1 =\frac{ \sum ^{10}_{i=1}xi}{10}[/tex]
[tex]E(\bar x_1)=\frac{ \sum ^{10}_{i=1}E(x_1)}{10} \\\\=\frac{10(3.5)}{10} \\\\=3.5\\\\E(\bar x_1) = 3.5----(1)[/tex]
now suppose ,
x₁₁,x₁₂, ...x₁₅ are 5 independent and identical random variable which represent last 5 roll
average of last 5 roll is
[tex]E(\bar x_2)= \frac{ \sum ^{5}_{i=1}xi}{5} \\\\= \frac{5 \times(3.5)}{5} \\\\=3.5[/tex]
Therefore,[tex]\bar x_1 - \bar x_2[/tex]
3.5 - 3.5 = 0
The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex] of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0 and this can be determined by using the formula of the average mean.
Given:
A fair six-sided die, with sides numbered 1 through 6, will be rolled a total of 15 times.Let [tex]\bar {x_1}[/tex] represent the average of the first ten rolls, and let [tex]\bar {x_2}[/tex] represent the average of the remaining five rolls.The average mean of the first ten rolls is given by the formula:
[tex]\rm E(\bar{x_1}) = \dfrac{\sum^{10}_{i=1}(x_1)}{10}[/tex]
Now, put the values of known terms in the above equation.
[tex]\rm E(\bar{x_1})=\dfrac{10\times 3.5}{10}[/tex]
[tex]\rm E(\bar{x_1})={3.5}[/tex]
The average mean of the remaining five rolls is given by the formula:
[tex]\rm E(\bar{x_2}) = \dfrac{\sum^{5}_{i=1}(x_i)}{5}[/tex]
Now, put the values of known terms in the above equation.
[tex]\rm E(\bar{x_1})=\dfrac{5\times 3.5}{5}[/tex]
[tex]\rm E(\bar{x_1})={3.5}[/tex]
Now, [tex](\bar{x_1}-\bar{x_2}) = 3.5 - 3.5 = 0[/tex].
The mean [tex]\mu(\bar{x_1}-\bar{x_2})[/tex] of the sampling distribution of the difference in sample means [tex](\bar{x_1}-\bar{x_2})[/tex] is 0.
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A family plan to catch a ferry and need to book in at 12:02 am. The journey to the ferry port will take 2 hours 45 minutes. What time should they leave home in order to get to the ferry port on time?
Answer:
9:17 P.M.
Step-by-step explanation:
If the drive is 2 hours and 45 minutes and they need to be there by 12:02 am, you subtract two hours from that number. This means that if the drive was only two hours, they would have to leave home at 10:02 pm. However, it is 45 minutes longer than that so you have to subtract 45 minutes from 10:02 pm which gets 9:17 pm. Hope this helps!
The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and dependent variables in this situation?
Answer:
The independent is the weight of the onions purchased the depenten variable is the cost per pound of the onions
Step-by-step explanation:
The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are
Answer:
-10,1,19
Step-by-step explanation:
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
-2 5 7
Step-by-step explanation:
There are 21 cards numbered 1 to 21.if you pick a card what is the probability that choose an odd number or a two?
1/2
4/7
11/21
44/147
Answer:
4/7
Step-by-step explanation:
There are 11 odd numbers less than or equal to 21.
There is 1 two.
11 + 1 = 12 ways
12 outcomes/ 21 total outcomes =
4/7
There are 64 teams at the basketball tournament. Each team has 12 players. How many players are at the basketball tournament?
Answer:
64 x 12 = 768
Step-by-step explanation:
ok so we have 64 teams in all at the tournament & each team has 12 players. To find how many are at the basketball tournament we can multiply 12 by 64.
Answer:768 basketball players
A farmer plants a 16-foot row of tomatoes 13-foot row of carrots and a 21-foot row of green peppers in a triangle find the angle formed by the tomatoes and carrots
Answer:
The angle between tomatoes and carrots is 92.2°, approximately.Step-by-step explanation:
As you can observe in the image attached, the triangle formed is scalene, which means we need to use the law of cosines to find the answer.
[tex]p^{2} =c^{2} +t^{2} -2(c)(t)(cos\theta)[/tex]
Where [tex]p[/tex] is green peppers, [tex]c[/tex] is carrots, [tex]t[/tex] is tomatoes and [tex]\theta[/tex] is the angle between tomatoes and carrtos.
Replacing all given values, we have
[tex]21^{2} =13^{2} +16^{2} -2(13)(16)(cos\theta)\\441=169+256-416cos\theta\\441-169-256=-416cos\theta\\\frac{16}{-416}=cos\theta\\ \theta=cos^{-1}(\frac{1}{-26} ) \approx 92.2\°[/tex]
Therefore, the angle between tomatoes and carrots is 92.2°, approximately.
simplify
x+20−16
20+x−16
x+16−20
16+x−20
20−(x+16)
20−(x−16)
x−20−16
20−x−16
Answer:
x+4
4+x
x-4
-4+x
4-x
36-x
x-36
4-x
Step-by-step explanation:
What is the range of f(x) = sin(x)?
the set of all real numbers Negative 2 pi less-than-or-equal-to y less-than-or-equal-to 2 pi
the set of all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1
the set of all real numbers 0 less-than-or-equal-to y less-than-or-equal-to 2 pi
the set of all real numbers
The range of the function f(x) = sin(x) given in the task content is; Negative 1 less-than-or-equal-to y less-than-or-equal-to 1; -1<= y <=1.
What is the Range of the function?The range of a function is simply the set of its possible output values. For instance, for the function f(x)=x⁴ on the domain of all real numbers , the range is the non-negative real numbers, which can be written using interval notation.
On this note, the range of the function as given is -1<= y <=1.
Read more on range of a function;
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Answer: B, the set of all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1
Step-by-step explanation: edge
If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).
Answer:
(fg)(x) = 5x^4 + 5x^3
Step-by-step explanation:
(fg)(x) = (5x^3)(x+1)
(fg)(x) = 5x^4 + 5x^3
PLZ HELP IM TIMED!!!
Which fraction is equivalent to -(7/8)?
A. -7/8
B.-(-7/8)
C.-(7/-8)
D.-7/-8
Answer:
It should be A
Step-by-step explanation:
multiply the - by 7/8 to get -7/8
Answer:A
Step-by-step explanation:
Each of Mrs. Moore's students uses a certain number of pencils per week
of school. There are 22 students in Mrs. Moore's class. If there are 36
weeks of school and Mrs. Moore's students use 3168 pencils in a school
year, how many pencils does each student use per week?
Answer:
4
Step-by-step explanation:
3,186/22= 144
144/36= 4
Which expression is equivalent to 36a minus 27?
9 (4a minus 3)
3 (18a minus 9)
9 (4a minus 27)
3 (12a minus 6)
Answer:
It's the first expression
Step-by-step explanation:
9 (4a minus 3)
(9x4a)-(9x3)
36a minus 27
The correct expression equivalent to 36a minus 27 is 9(4a minus 3)
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression is 36a minus 27, we need to find an expression equivalent to the given expression,
So, converting the expression into mathematical expression,
36a minus 27
= 36a-27
HCF of 36 and 27 is 9, so taking 9 common,
Therefore,
36a-27 = 9(4a-9)
We can write 9(4a-9) in statement,
9(4a-9) = 9(4a minus 3)
Hence, the correct expression equivalent to 36a minus 27 is 9(4a minus 3)
Learn more about expression, click;
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(50 points) What is the volume of the cone in terms of π?
A) 8π in3 B) 16π in3 C) 24π in3 D) 32π in3
Answer
is 8pi
it doesnt want you to actually times pi but leave pi alone
Step-by-step explanation:
i took the test got it wrong at first and reviewed it it said 8pi
The Volume of cone in terms of π is: 8π in³.
What is the Volume of a Cone?Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.
Given:
Radius (r) = 2 in.Height (h) = 6 in.Thus:
Volume of cone = 1/3(π × 2² × 6)
Volume of cone = 1/3(24π)
Volume of cone = 8π in³.
Learn more about volume of cone on:
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Find the missing measure.
Answer:
I think it should be 9km
Subtract.
(5x-1)-(3xy+c)
Answer:
5 x − 1 − 3 x y − c
The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
The given expression is (5x-1)-(3xy+c)
The subtraction between them is
5x - 1 - 3xy - c
Thus, the subtraction would be 5x - 1 - 3xy - c.
Learn more about linear equations;
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Determine the values of the variables in isosceles trapezoid CHLE below.
Enter numbers only, do not enter units.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
g(1) = -5
g(2) = 3
g(n) = g(n-2) + g(n-1)
g(3)
Answer:
g(3) = -2
Step-by-step explanation:
Which polynomials are in standard form?
Answer:
Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.
Step-by-step explanation:
Analyze the figure and the two-column proof.
Triangles A F C and D E B overlap and intersect at point X. Point B of triangle D E B is on side A C of triangle A F C. Point C of triangle A F C is on side B D of triangle D E B. Angles A F C and B E D are right angles. Sides F A and E D are congruent. Line segments A B and C D are congruent.
Which statement/reason pair can be used when proving FC ≅ EB?
♣: Δ ≅ ΔAFC
♦:
Answer:
1st one: DEB
2nd one: HL
Step-by-step explanation:
By segment addition property, the lengths of the hypotenuse side of both
triangles ΔAFC and ΔDEB are equal.
Response:
A statement/reason pair that can be used when proving [tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex] is presented as follows: Statement; ΔAFC ≅ ΔDEB, reason; HL Method used to obtain the above responsePlease find attached the diagram representing the triangles
ΔAFC and ΔDEB overlap
Point B is located on side [tex]\mathbf{\overline{AC}}[/tex]
Point C is located on side [tex]\mathbf{\overline{BD}}[/tex]
∠AFC = ∠BED = 90°
[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex]
[tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]
A statement and reason pair that can be used to prove that [tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex] is given as follows;
Statement [tex]{}[/tex] Reasons
[tex]\overline{FA}[/tex] ≅ [tex]\overline{ED}[/tex] [tex]{}[/tex] Given
ΔAFC and ΔDEB are right triangles[tex]{}[/tex] Definition of right triangles
[tex]\overline{AB}[/tex] = [tex]\overline{CD}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{BC}[/tex] ≅ [tex]\overline{BC}[/tex] [tex]{}[/tex] Reflexive property
[tex]\overline{BC}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex] + [tex]\overline{BC}[/tex] [tex]{}[/tex] Substitution property
[tex]\overline{BD}[/tex] = [tex]\overline{AC}[/tex] [tex]{}[/tex] Substitution and segment addition property
ΔAFC ≅ ΔDEB [tex]{}[/tex] Hypotenuse leg (HL) rule of congruency
[tex]\overline{FC}[/tex] ≅ [tex]\overline{EB}[/tex] [tex]{}[/tex] CPCTC
CPCTC is the acronym for Corresponding Parts of Congruent Triangles are Congruent
A statement/reason pair that can be used is therefore;
ΔAFC ≅ ΔDEB / Hypotenuse leg (HL) rule of congruencyLearn more about congruency theorem here:
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help me please thank you
Answer:
B C E
Step-by-step explanation:
Look at the attachment
Help pleaseee
Help right know
Answer:
28
Good luck
Step-by-step explanation:
Answer:
Down below
Step-by-step explanation:
B=7
H=4
7*4= 28
ANSWER: 28
Josie measured the diameter of the base of her
cup. If the diameter of her cup measures 12 cm,
what is the measure of the radius?
Answer:
6cm
Step-by-step explanation:
The radius is half of the diameter. Being 12 inches, the radius will be 6 inches.
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
What is the y-coordinate of the solution of the system of equations? {y=3x−26 2x−y=19 Enter your answer in the box.
Answer:
The y-coordinate of the solution is -5.
Step-by-step explanation:
I graphed the equations on the graph below to find the solution of the system.
If this answer is correct, please make me Brainliest!
How many 9’s are there between 1 and a 100?
Answer:
20
Step-by-step explanation:
What is a less than 16
Answer:
15 is a less than 16
Step-by-step explanation:
Answer:
What are the choices??
Step-by-step explanation:
The volume of a cylinder is 40 ft which expression represents the volume of O.C. one with the same base and height as the cylinder
The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?
3(40) ft³
3(1/40) ft³
1/3(40)ft³
1/3(40²) ft³
Answer:
The expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
Step-by-step explanation:
To find the expression that represents the volume of a cone with the same height and base as the cylinder, we will follow the steps below:
First write down the formula for calculating volume of a cone and volume of a cylinder
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
volume of a cylinder = πr²h
If the base are the same, this implies they have the same radius, and from the question, it states that they have the same height, hence;
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
from the question, the volume of the cylinder is 40 ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
= [tex]\frac{1}{3}[/tex] (40) ft³
volume of a cone = [tex]\frac{1}{3}[/tex] (40) ft³
Therefore the expression that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³
PLEASE HELP! Drag each tile to the correct box.
The height of an object launched upward from ground level is given by the function s(t) = -4.9t2 + 78.4t, where s(t) is the height in meters and t is the time in seconds. Arrange the time intervals in ascending order of the object's magnitude of average velocity over the interval.
Answer:
the distance of the object before it hits the ground after launch is t = 1.592 seconds
Step-by-step explanation:
The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t
when the object reach the ground then s(t) = 0
So; -4.9t² +7.8t = 0
-4.9t² +7.8t + 0 = 0
By using the quadratic equation
[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]
where; a = -4.9 ; b = 7.8 and c = 0
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]
[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]
[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]
Hence; the distance of the object before it hits the ground after launch is t = 1.592 seconds
HELP PLEASEEEEEREE.....
The key phrase here is "given you are in Sacramento". This means we only focus on the "Sacramento" row. Ignore everything else.
17 days are clear out of 30 total, so 17/30 = 0.5667 approximately and that rounds to 0.57
Answer: Choice B) 0.57, because 17 of 30 days were clearwhat kind of polynomial is 2x^4-4x^2
Answer:
Binomial
Step-by-step explanation:
It has 2 terms in the expression
Answer: quadratic polynomial
Step-by-step explanation:
A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.
