Answers
The expected values of the binomial distribution are given as follows:
1. 214.
2. 21.
3. 31.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
For item 1, the parameters are:
p = 3/7, n = 500.
Hence the expected value is:
E(X) = np = 500 x 3/7 = 1500/7 = 214.
For item 2, the parameters are:
p = 0.083, n = 250.
Hence the expected value is:
E(X) = np = 250 x 0.083 = 21.
For item 3, the parameters are:
p = 1/13, n = 400.
Hence the expected value is:
E(X) = np = 400 x 1/13 = 31.
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Related Questions
Helpppppp show your work
Answers
(-3²)-2(-3-4)-(-1³)
=9-2(-7)+1
=9+14+1
=24
Hope it helps!
Answer: look at the picture
Step-by-step explanation:
The vertices of an isosceles triangle are A(3, 6), B(7, 2), and C4, 3).
What is the equation of the triangle's line of symmetry?
Answers
Answer:
[tex]y=x-1[/tex]
Step-by-step explanation:
The line of symmetry of an isosceles triangle is perpendicular to its base.
Given vertices of the isosceles triangle:
A = (3, 6)B = (7, 2)C = (4, 3)By sketching the triangle with the given points, we can see that AB is its base. (See attached graph).
To find the equation for the line of symmetry, first find the slope of the line AB. To do this, use the coordinates of points A and B and the slope formula.
Define the points:
[tex]\textsf{Let }(x_1,y_1)=(7, 2)[/tex][tex]\textsf{Let }(x_2,y_2)=(3, 6)[/tex][tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{3-7}=-1[/tex]
As the line of symmetry is perpendicular to line AB, its slope is the negative reciprocal of the slope of line AB.
Therefore, the slope of the line of symmetry = 1.
The line of symmetry will pass through point C (4, 3).
Therefore, substitute the found slope and the coordinates of point C into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=1(x-4)[/tex]
[tex]\implies y-3=x-4[/tex]
[tex]\implies y=x-1[/tex]
Therefore, the equation of the given isosceles triangle's axis of symmetry is:
[tex]y = x - 1[/tex]
If we graph the points
then we will get AC=CB
That means C is the point from where the axis of symmetry passes
Foot of perpendicular is midpoint of AB
Midpoint of AB
((3+7)/2,(6+2)/2)(10/2,8/2)(5,4)Find equation of C and foot of perpendicular
Slope
m=(4-3)/(5-4)=1Equation
y-3=1(x-4)y-3=x-4y=x-1If X = 2 centimeters, Y = 5 centimeters, and Z = 5 centimeters, what is the area of the object?
Answers
Answer: [tex]35 cm^2[/tex]
Step-by-step explanation:
Area of trapezium =
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm
[tex]\dfrac{ \left( 4+10 \right) }{ 2 } \times 5[/tex]
|
|--------> 35 [tex]cm^2[/tex]
Graph Y equals |x|-5
Answers
Answer:
graph C
Step-by-step explanation:
when X= 0
Y ---> -5
so , answer is graph C
Answer:
c
Step-by-step explanation:
the graph of | x | has its vertex at the origin and has shape V
the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.
That is graph c represents | x | - 5
Which unit rate is the lowest price per ounce
Choice a: 10 ounces of chocolate chips for $1.66
Choice b: 20 ounces of chocolate chips for $3.22
1: choice a
2: choice b
3:unit rates are equal
4:Cannot be determined
Answers
Answer:
2: choice b
Step-by-step explanation:
a: $1.66 / 10 oz = $0.166/oz
b: $3.22 / 20 oz = $0.161/oz
Answer: 2: choice b
Olivia Sells 1/8 ton of copper to recycle♻️. The recycler pays $4 per pound. How much money in dollars, does the recycler pays Olivia for her copper?
Answers
The total amount the recycler pays Olivia is $1000.
What is the total amount Olivia is paid?The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
There is a need to convert tons to pounds:
1 ton = 2000 pounds
1/8 x 2000 = 250 pounds
The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.
Total cost = cost per pound x total pound
250 x $4 = $1000
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Evaluate 3(x-4) + 2x - x² for x = 3.
A. -6
B. 6
C. 2
D. -2
Answers
Answer:
A) -6
Step-by-step explanation:
its just by substituting 3 in place of x
3(3-4)+2(3)-(3)²
3(-1)+6-9
-3+(-3)= -6
pls gimme brailiest if it helped :)
Answer:
A. -6
Step-by-step explanation:
3(x-4) + 2x - x²
Evaluate
Let x =3
Substitute into the expression
3( 3-4) +2(3) - 3^2
Parentheses first
3( -1) +2(3) - 3^2
Exponents next
3( -1) +2(3) - 9
Multiply
-3 +6 -9
Add and subtract
-6
A. 2
B. 1/3
C. 5
D. -3
Answers
Answer: 2
Step-by-step explanation:
[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]
Setting this equal to 0 yields [tex]x=-3[/tex].
When [tex]x=-3[/tex], [tex]y=2[/tex]
Answer:
A. 2Step-by-step explanation:
Given quadratic equation:
y = (1/3)x² + 2x + 5Its leading coefficient is positive, so it has minimum value at vertex.
The x-coordinate of the vertex is:
x = -b/(2a)Substitute the coefficients:
x = - 2/(2*1/3) = - 3Find the value of y at vertex:
y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2The matching answer choice is A.
A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. how far does sal drive in 1 hour? round the answer to the nearest mile. a. 28 miles b. 56 miles c. 60 miles d. 111 miles
Answers
Compute the speed of the car:
[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]
So after 1 hour, Sal will have driven about 56 mi.
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
Answers
Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°
Calculation of angle of triangleA triangle is a type of polygon that has three pointed edges.
A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.
Other examples of polygon include the following:
hexagons, pentagons, and quadrilaterals.The angle between the paths of the boats can be calculated using the formula Cos θ = a/b
Where b = 18km/h
a = 15km/h
Cos θ = 15/18
cos θ = 0.83
Therefore, θ = Cos¹0.83
θ = 33.9
θ = 34°
In conclusion, the angle that is between their paths to the nearest degrees is =34°
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Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
Answers
The value of given trigonometric value cos(22. 5°) is 0.387.
According to the statement
we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.
So, For this purpose, we know that the
The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.
So,
The given value is :
cos(22. 5°)
Then the value of cos half angle formula is
[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]
then
The value of θ/2 is 22.5 degree.
And θ is 22.5*2
θ = 45 degree
and cos 45 degree is 1/squareroot 2
And by this the value of given value become is
[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]
So, The value of given trigonometric value cos(22. 5°) is 0.387.
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Change
3
-
4
to a percent
Answers
Answer:
75%
Step-by-step explanation:
3/4 ie 75/100. .........edge
Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs
Answers
Answer: is 48 eggs .
Step-by-step explanation:
3 hens gives 3 eggs in 3 days
Therefore , 1 gives 1 egg in 3 days
So
3days = 1egg
After that 12 days\/3 times = 4 eggs (in 12 times )
So 1 hen offers 4 eggs in 12 days after that
12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)
1
14. The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
Answers
Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
Can someone help ???????
Answers
So if you divide 2 by 120 it will be 60
So x/y = 60
x equals 2 so that means z equals 2
Then divide 2 by 2 and you will get one
So add 60 by one so you get 61
Answer: 61
The picture below illustrates a special type of conic section called a circle.
Which of the following offers the best description of how a circle is formed?
W
A. The plane passes through the vertex of a right circular cone.
B. The plane passes through only one nappe of a right circular cone
and is perpendicular to its base.
C. The plane passes through both nappes of a right circular cone and
is perpendicular to its base.
D. The plane passes through only one nappe of a right circular cone
and is parallel to its base.
Answers
Answer:
D
Step-by-step explanation:
circles are parallel to the base and therefore only pass through 1 nappe
if the plane weren't parallel, we would make an ellipse
Which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units right and 4 units down
B. shifted 2 units right and 3 units down
C. shifted 3 units
right and 3 units down
D. shifted 2 units right and 4 units down
Answers
The answer is B.
To obtain A'B'C'D' from ABCD, we can clearly see that it has been shifted 2 units right and 3 units down.
What is the image point of (-1, -8) after
the transformation ry=-x T4,-5?
Answers
Answer:
sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue
Step-by-step explanation:
hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh
What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.
Answers
The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.
What is vertical asymptote of a function?Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.
How to find vertical asymptotes from graph?There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.
Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]
(x,y)= (3,5), (4,9), (6,13)
From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.
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The complete question is:
“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”
Question 1 of 10
Which expression is the simplest form of - (3x³ + x²) +2 (x³ - 4x²)?
OA.-2³-32²
OB.-2³-92²
O C. 5x³-7x2²
OD. 52³-82²
SUBMIT
Answers
Answer:
B. -x³ - 9x².
Step-by-step explanation:
- (3x³ + x²) +2 (x³ - 4x²)
= -3x³ + 2x³ - x² - 8x²
= -x³ - 9x²
Answer: [tex]\Large\boxed{-x^3-9x^2}[/tex]
Hi there! By my calculation, I got the answer above. However, it doesn't fit any one of the answer choices. I am not sure if I am totally correct, but I have been double-checking my answers. Please let me know whether it's the answer choices mistaken or I am wrong so that I could modify my answer if necessary.
Step-by-step explanation:
Given expression
- (3x³ + x²) +2 (x³ - 4x²)
Expand parenthesis by the distributive property
= -3x³ - x² + 2x³ - 8x²
Combine like terms
= -3x³ + 2x³ - x² - 8x²
[tex]\Large\boxed{=-x^3-9x^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
if x^2 - 9 = 0 then x can only be equal to 3. true or false
Answers
Answer:
False
Step-by-step explanation:
The variable could also be -3, not just 3.
Answer:
False
Step-by-step explanation:
x^2 - 9 = 0
x^2 = 9
x = +- 3
Pls answer question 8
Answers
Step-by-step explanation:
step 1: multiply [tex]2^m[/tex] by [tex]3^n[/tex]
2 × 3 = 6
to times power you must add them
eg: [tex]x^3[/tex] × [tex]x^4[/tex]3+4=7=[tex]x^7[/tex][tex]2^m[/tex] × [tex]3^n[/tex] = [tex]6^{m+n}[/tex]
step 2: rearrange
[tex]6^{m+n}[/tex] = 108
can you do this step by yourself
Show why x - 3 is a factor of m(x) = x³ x² - 5x - 3.
Answers
Answer:
If m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.
Step-by-step explanation:
By the Factor Theorem if (x - a) is a factor of f(x) then f(a) = 0.
m(x) = x^3 - x^2 - 5x - 3
m(3) = 27 - 9 - 15 - 3 = 0
- so x - 3 is a factor
Evaluate the expressions. 32) 12+ 32÷3-6
Answers
Answer:
16.66666667
Step-by-step explanation:
=12+10.66666667-6
=22.66666667-6
=16.66666667
Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft . use 3.14 for π as necessary.
Answers
The area of the shaded region in the given image is: 1,111.84 ft²
How to Find the Area of a Shaded Region?To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.
Area of the total figure = area of two semicircles + area of the rectangle.
Dimensions of the rectangle is given as, 18ft x 22ft.
Area of the rectangle = 18ft × 22ft = 396 ft²
The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft
The radius of each of the semicircle = 1/2(32) = 16 ft
Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)
Area of the two semicircles = 803.84 ft²
Area of the rectangle = 32 × 22 = 704 ft²
The total area = 704 + 803.84
The total area = 1,507.84 ft²
The area of the shaded region = 1,507.84 - 396
The area of the shaded region = 1,111.84 ft²
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1) Find the domain of the function f(x) = 1 / |x ^2- 4|
2) Find the domain of the function f(x) = 1 / (x^ 2 + 4x + 3)
Answers
Answer:
x<-3 or -3<x<-1 or x>-1
Step-by-step explanation:
Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}
AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.
Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.
What is m∠A?
34°
62°
56°
124°
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°
we need to find the Angle BAD : let it be x ~
By angle sum property of Quadrilaterals,
[tex]\qquad \sf \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x+30 4 = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 360 - 304[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 56 \degree[/tex]
Hence, Angle m A = 56°
Answer: c
Step-by-step explanation:
Please Help me i will give brainlist !Which of the choices below show the pre-image quadrilateral ABCD, rotated 180° about the origin?
Answers
Answer:
The first choice.
Step-by-step explanation:
The second choice is a translation and the third choice is a reflection.
Select the correct answer. what is the completely factored form of this expression? y2 − 12y 32 a. (y 4)(y 8) b. (y − 4)(y − 8) c. (y 18)(y 2) d. (y − 18)(y − 2)
Answers
Answer:
b. (y - 4)(y - 8)
Step-by-step explanation:
Geometry: complete this proof, ASAP!!!
Answers
Answer:
1. Given
2. Triangle Interior Angle Sum Theorem
3. Substitution Property of Equality
4. Subtraction Property
5. Definition of Complementary Angles
