Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x [tex](x- E(x))^{2}[/tex] [tex](x-E(x))^{2} *p(x)[/tex]
0 [tex](0-0.9)^{2}[/tex] [tex](0-0.9)^{2} *0.15[/tex] =0.1215
1 [tex](1-0.9)^{2}[/tex] [tex](1-0.9)^{2} *0.8[/tex] =0.008
2 [tex](2-0.9)^{2}[/tex] [tex](2-0.9)^{2} *0.05[/tex] =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
[tex]factories : - \\ \\ p {}^{2} + 8p - 84[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (p - 6)(p + 14) }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {p}^{2} + 8p - 84[/tex]
[tex] = {p}^{2} + 14p - 6p - 84[/tex]
Taking [tex]p[/tex] as common from first two terms and [tex]6[/tex] from last two terms, we have
[tex] = p(p + 14) - 6(p + 14)[/tex]
Taking the factor [tex](p+14)[/tex] as common,
[tex] = (p - 6)(p + 14)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}[/tex]
Solve the inequality -10w _< 20
Step-by-step explanation:
-10w< 20w< 20/-10w< -2hope it helps
stay safe healthy and happy...Describe fully the single transformation that maps a onto shape b
Answer:
Reflected over y-axis
Simplify this expression:
-(x+2)+4
i have no idea im not good with math ;(
ANSWER :
- ( x+ 2 ) + 4
-x - 2 + 4
-x + 2
Answer:
−x+2
Step-by-step explanation:
-(x+2)+4 Distribute the negative sign (-) outside of the parenthesis with x and 2 and that will turn into -x-2+4.
Add -2 and 4 and that will turn into -x+2.
Distribute an amount of Rs. 200 between Raheem and Usman such that Raheem
gets RS 50 more than twice as much as Usman gets .
Answer:
50 and 150
Step-by-step explanation:
Raheem- (2x+50)
Usman- x
(2x+50)+x=200
3x+50=200
3x=150
x=50
plug in the numbers
Jul 02, 10:37:22 AM
Drag the numbers below to put them in order from least to greatest:
9.58 9.558 9.62 9.7 9.691 9.592
Answer: 9.558, 9.58, 9.592, 9.62, 9.691, 9.7
Step-by-step explanation:
Answer:
9.7 9.58 9.62 9.558 9.592 9.691
2(2x+1)-9.2x+4=0
[tex] 2^2x + 1 - 9.2 ^x + 4 = 0 [/tex]
[tex]\displaystyle\2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]
The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?
6 miles per second
350 miles per second
1,260,000 miles per second
75,600,000 miles per second
Answer:
6 mps to the nearest mps.
Step-by-step explanation
The rocket that carried the Curiosity Rover to Mars traveled at a speed of 21,000 miles per hour. What is this speed to the nearest mile per second?
1 hr = 3600 sec
Since an hour is 3600 seconds (i.e., 60 x 60), you simply need to divide that number by 3600
→ 21000 mph = 21000 ÷ 3600 mps = 5 5/6 mps →
ANSWER : 6 mps to the nearest mps.
Answer:
Believe the other person
Step-by-step explanation:
I got a 100%, and also got this question.
Find the nth term...-1,5,11,17
Answer:
23
Step-by-step explanation:
you just add 6 to every one
Please help me I keep on getting the third box wrong
Answer:
[tex](2 {a}^{2} + 1)(1 {a}^{2} + 9)[/tex]
Step-by-step explanation:
[tex]2 {a}^{4} + 19 {a}^{2} + 9 \\ 2 {a}^{4} + {a}^{2} + 18{a}^{2} + 9 \\ {a}^{2} (2 {a}^{2} + 1) + 9(2 {a}^{2} + 1) \\ (2 {a}^{2} + 1)( {a}^{2} + 9) \\ [/tex]
step below. Question 1 Hexagon AGHBGHCGHD GHEGHFGH is a reflected image of hexagon ABCDEF. The midpoints of the sides of hexagon ABCDEF are also shown. Drag the line of reflection, Għ until the image coincides with the preimage. At this location, if the preimage flips about the line of reflection, it will flip onto itself. In how many different positions can you place GHso the image reflects onto the preimage in this manner? Describe the different positions. Be sure to pass the line of reflection through both vertices and midpoints before answering.
Answer:
Hexagon AGHBGHCGHDGHEGHFGH coincides with hexagon ABCDEF when GH passes through the midpoints of opposite sides; that is, it is a perpendicular bisector of the two sides. HexagonAGHBGHCGHDGHEGHFGH also coincides with hexagon ABCDEF when the line of reflection joins a pair of vertices opposite one another on the hexagon. There are three perpendicular bisectors and three pairs of opposite vertices. In all, there are six lines of reflection that will map the hexagon back onto itself.
Step-by-step explanation:
Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a representative and a(n) _____ sample.
Answer:
Random and Representative.
Step-by-step explanation:
According to the Question,
Given That, Dr. Comeaux decides to conduct a survey of her class to determine whether the number of breaks is sufficient for a three-hour class period. She assigns each of her 40 students a number and arbitrarily selects 20 using a computer program. Using the language of research methodology, Dr. Comeaux's sample is both a Representative and Random sample.a solid cylinder has radius x cm and height (7x÷2) cm .the surface area of a sphere with radius R cm is equal yo the total surface area of the cylinder . find an expression for R in terms of x
Answer:
[tex]R=(\sqrt{11} )\frac{x}{2}[/tex]
Step-by-step explanation:
The expression for the radius of the sphere will be R = (3/2)x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that a solid cylinder has a radius x cm and height (7x÷2) cm .the surface area of a sphere with a radius R cm is equal to the total surface area of the cylinder.
The expression will be solved as:-
SA ( sphere) = 4πR²
SA (cyl) = 2πr² + 2πrl
SA (cyl) = 2πx² + 2πx ( 7x / 2)
SA (cyl) = 2πx² + 7πx²
SA ( sphere) = SA (cyl)
4πR² = 2πx² + 7πx²
R² = 9πx² / 4π
R = √(9x²/4)
R = ( 3 / 2 )x
Therefore, the expression for the radius of the sphere will be R = (3/2)x.
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Find the Average Number of Fruits eaten By Tony on a week:
Days of the week | Number of fruits
________________________________________
Sunday | 60
Monday | 40
Tuesday | 20
Wednesday | 40
Thursday | 80
Friday | 30
Saturday | 20
Answer:
41.43 fruits
Step-by-step explanation:
Average number of fruits= sum of fruits for each dat ÷ total number of fruits
[tex] \frac{60 + 40 + 20 + 40 + 80 + 30 + 20}{7} [/tex]
[tex] = \frac{290}{7} [/tex]
[tex] = 41.43 \: fruits[/tex]
The function shown is a composition of the functions g(x) and h(x) .
f(x)=2x√+8−7
Which of the following shows a possible decomposition of the function f(x) ?
Find the measure of the missing angle using the triangle angle sum theorem
Answer:
m∠60
Step-by-step explanation:
30 + 90 = 120
180-120=60
Answer:
x = 60°
Step-by-step explanation:
A triangle is equal to 180°
Make an equation and solve:
30° + 90° + x = 180°
120° + x = 180°
x = 180° - 120°
x = 60°
Which is the graph of y = 3x + 1 - 2?
LAST QUESTION SOMEONE HELP PLEASE QUICK
Answer:
27%
Step-by-step explanation:
Answer:
p(j)=27% is correct answer
Help and explain ( solve using the substitution method )
Answer:
you are posting unvisibile photo pls fix it
Step-by-step explanation:
Sabe-se que EF = xcm , GH = (x + 6) cm , RS = 16 cm e NP = 28 cm . Sabendo que EF ,GH , RS ,e NP São, nessa ordem, segmentos proporcionais, determine o valor de x .
Answer:
The value of x is 8 .
Step-by-step explanation:
It is known that EF = x cm , GH = (x + 6) cm , RS = 16 cm and NP = 28 cm . Knowing that EF ,GH , RS , and NP are, in that order, proportional segments, determine the value of x .
As EF, GH, RS and NP are in proportion
So,
EF : GH = RS : NP
[tex]\frac{x}{x+6}=\frac{16}{28}\\\\7 x = 4 (x + 6)\\\\7 x = 4 x + 24 \\\\3 x = 24 \\\\x = 8[/tex]
The following table shows a direct variation.
3 y
15 5
18 6
27 9
Answer:
Yes, it shows direct variation
Step-by-step explanation:
Given
The above table
Required
Is it a direct variation?
The constant of variation (k) is:
[tex]k = y/x[/tex]
For each pair x and y, we have:
[tex]k = 5/15 = 1/3[/tex]
[tex]k = 6/18 = 1/3[/tex]
[tex]k =9/27 = 1/3[/tex]
Since the calculate constant have the same value for all pair or x and y, then the table shows direct variation
Answer:1
Step-by-step explanation:3/3=1
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid ₹27 for a book kept for seven days, while Susy paid ₹21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Answer:
Ji Gud afternoon.
I'm fine
what about you madam.
Hope u r fine and stay safe and healthy
Rewrite the expression as a simplified expression containing one term.
Answer:
-(cos α)/(sin α)
= -cot α
Step-by-step explanation:
use trigonometric identities
PLEASE HURRY Aline has a slope of -1/2 and a y-intercept of -2. What is the x-intercept of the line?
Answer:
x- intercept = - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] and c = - 2 , then
y = - [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
To find the x- intercept let y = 0
0 = - [tex]\frac{1}{2}[/tex] x - 2 ( add 2 to both sides )
2 = - [tex]\frac{1}{2}[/tex] x ( multiply both sides by - 2 to clear the fraction )
- 4 = x
The x- intercept is - 4
The Fun Committee is hosting the Annual City Festival. Jennifer is in charge of the committee and is planning a race to raise money for the Festival. The runners will earn money from donors for the number of miles they run. If the runners start at the park, run to City hall, and then run back to the park, how many total miles will each runner run? Show your work and leave your answer in simplest radical form if necessary.
Answer: [tex]6\sqrt{5}[/tex] miles
This is the same as writing 6*sqrt(5) miles
==========================================================
Work Shown:
P = park
C = city hall
Point P is at the location (10,11)
Point C is at the location (7,5)
Apply the distance formula to find the length of segment PC
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(10-7)^2 + (11-5)^2}\\\\d = \sqrt{(3)^2 + (6)^2}\\\\d = \sqrt{9 + 36}\\\\d = \sqrt{45}\\\\d = \sqrt{9*5}\\\\d = \sqrt{9}*\sqrt{5}\\\\d = 3\sqrt{5}\\\\d \approx 6.7082039\\\\[/tex]
The exact distance between the park (P) and city hall (C) is [tex]3\sqrt{5}[/tex] miles.
This doubles to [tex]2*3\sqrt{5} = 6\sqrt{5}[/tex] miles because the runners go from P to C, then back to P again. In other words, they run along segment PC twice. This is assuming there is a straight line road connecting the two locations.
Extra info:
[tex]6\sqrt{5} \approx 13.41641[/tex] so the runner travels a total distance of roughly 13.4 miles.
Can someone help with 11 & 13
[tex]11. \: we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{7 + 11 + 13 + 6 + 8 + x}{6} = 8 \\ = > \frac{45 + x}{6} = 8 \\ = > 45 + x = 8 \: \times 6 \\ = > 45 + x = 48 \\ = > x = 48 - 45 \\ = > x = 2 \\ \\ 12. we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{2 + 5 + 1.3 + 2.2 + x}{5} = 1.8 \\ = > \frac{10.5 + x}{5} = 1.8 \\ = > 10.5 + x = 5 \times 1.8 \\ = > 10.5 + x = 9 \\ = > x = 9 - 10.5 \\ = > x = - 1.5 \\ [/tex][/tex]
This is the answer.
Hope it helps!!
solve: 3( − 3) − 5 >− 3 − 6
(show your work)
x>3 is the answer
Step-by-step explanation:
[tex]3( x− 3) − 5x >− 3x − 6 \\ 3x - 9 - 5x > - 3x - 6 \\ 3x - 9 - 5x + 5x > - 3x - 6 + 5x \\ 3x - 9 > 2x - 6 \\ 3x - 9 - 2x > 2x - 6 - 2x \\ x - 9 > - 6 \\ x - 9 + 9> - 6 + 9 \\ x > 3[/tex]
What is the point-slope equation of a line with slope -3 that contains the point
(-8,-4)?
O A. y+ 4 = -3(x+8)
B. y+ 4 = -3(x-8)
C. y-4 = -3(x-8)
O D. y- 4 = -3(x+ 8)
Answer:
y + 4 = -3(x + 8)
Step-by-step explanation:
y + 4 = -3(x + 8)
Which statements are true about the result of simplifying this polynomial?
+ (8 + 9t) – (t2 + 4)(+2 – 3t)
The simplified expression has four terms.
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
a
The simplified expression is a trinomial.
Answer:
The simplified expression has four terms.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression is a trinomial.
The statements that are true about the result of simplifying this polynomial are:
b. The simplified expression is a polynomial.
c. The simplified expression has a constant term.
What are polynomials?Sums of terms of the form k x xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. A description of polynomials.
All other options are false. As it is not cubic because it is degree 4, and it does not have four terms as it has five terms. And it is not trinomial as it has five terms, not three.
The full solution is;
t³(8 + 9t) - (t² + 4)(2 - 3t)
8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
9t⁴ + 11t³ - 2t² + 12t - 8
Therefore, the correct options are a, and b.
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Given EH = 12 and EG = 20 , find FJ.
Answer:
10
Step-by-step explanation:
If you look at it 20 is from EG so if FJ is half of EG then FJ is half of 20
