Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function f(1) = -(x + 1)(0 - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)
Pls help
Given:
Consider the given function is [tex]f(x)=-(x+1)(x-3)(x+2)[/tex].
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,
[tex]f(x)=-(x+1)(x-3)(x+2)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex]-(x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)(x-3)(x+2)=0[/tex]
[tex](x+1)=0,(x-3)=0,(x+2)=0[/tex]
[tex]x=-1,x=3,x=-2[/tex]
So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get
[tex]f(0)=-(0+1)(0-3)(0+2)[/tex]
[tex]f(0)=-(1)(-3)(2)[/tex]
[tex]f(0)=-(-6)[/tex]
[tex]f(0)=6[/tex]
So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function [tex]f(x)=-(x+1)(x-3)(x+2)[/tex] are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
Can you please help im not good at math as you can see
Answer:
The answer to the question provided is letter c.
Step-by-step explanation:
[tex] \frac{1 \times7}{2 \times 7} = \frac{7}{14} [/tex]
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
cuanto es 2/15 ÷ 4/5=
Answer:
2/15 * 5/4= 10/60 simplify 1/6
Step-by-step explanation:
:)
Answer:
.2
Step-by-step explanation:
can anyone answer
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture
Yall don't like me Ima cry
Answer:
180 grams
Step-by-step explanation:
grams of dark chocolate= 200 % cocoa =60%
Grams of milk chocolate: 200 % cocoa=30%
Amount of cocoa in mixture:
(proportion of milk chocolate+ dark chocolate)
(30% of 200)+60% of 200)
(0.3* 200)+(0.6 *200)
60+120
=180 grams
Answer:
[tex]45\%[/tex]
Step-by-step explanation:
The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.
The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.
When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.
Thus, the concentration of cocoa in the resulting mixture is:
[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]
1. Another line k is perpendicular to line j and passes through
The equation for line j can be written as y =1/2x-1
the point (6, -6). Choose the equation for line k.
Answer:
The equation for line k is [tex]y = -2x + 6[/tex]
Step-by-step explanation:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
When two lines are perpendicular, the multiplication of their slopes is -1.
The equation for line j can be written as y =1/2x-1
Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:
[tex]\frac{1}{2}m = -1[/tex]
[tex]m = -2[/tex]
So
[tex]y = -2x + b[/tex]
It passes through the point (6,-6).
This means that when [tex]x = 6, y = -6[/tex]. So
[tex]y = -2x + b[/tex]
[tex]-6 = -2(6) + b[/tex]
[tex]b = 6[/tex]
So
[tex]y = -2x + 6[/tex]
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Which point is located at (1, 2)?
5
A
4
3
2
1
-5-4-3-2
4
9
-2
3
-4
45
D
ОВ
Answer:
A
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle 120°[/tex]
Step-by-step explanation:
Again, this an isosceles triangle, therefore the centre base angles are congruent at 60°. This means you double 60° to get 120°.
I am joyous to assist you at any time.
(2x^3y^4)^3
Thanksbdndkndkdhsohxuxhcjdkdjdd
Answer:
When simplified its 8x^9 y^12
Step-by-step explanation:
please help this is due in half an hour
Answer:
Can you show the whole question?
Answer:
The other endpoint is (-1, 1).
Step-by-step explanation:
What we know is one endpoint is at (5, -9). The midpoint is at (2, -4).
So, to find the slope, find (yB - yA)/(xB - xA)
(-4 -(-9))/(2 - 5)
(-4 + 9)/(2 - 5)
5/-3
The slope is -5/3.
Knowing this, subtract 3 from the midpoint's x, and add 5 to the midpoint's y.
((2 - 3), (-4 + 5))
The other endpoint is at (-1, 1).
Find the value of x.
92°
36°
Answer: the answer is 7°
Step-by-step explanation:
What is the first step to solving this?
[tex]\sqrt{x-4}=7[/tex]
Answer:
First step is simplifying the equation by moving the square root to the right side and changing it to a Square ²
Step by step:
x-4=7²
(because we changed side square root becomes exponent ²)
x=49+4
x=53
A chef used one-fifth of a bag of potatoes for a meal. If the potatoes fed 2 people, what fraction of the bag did each person get? (Will give brainliest)
Answer:
They each got 1/10th of the bag
Step-by-step explanation:
you just divide 1/5th by 2 which is 1/10
What's the difference between 5.4 x 10-7 and 7.1 x 10-8? Express your answer
using either standard notation or scientific notation.
Answer:
.76 x 10 or 7.6 x 10^0
Step-by-step explanation:
divide coefficients and subtract exponents
5.4 / 7.1 = .76
10^-7 / 10^-8 = 10
(2x-4)+(5x-13)+(x+4)
Answer:
the answer is going to be 8x-13
Answer:
8x-13
Step-by-step explanation:
Combine all like terms
2x+5x+x=8x
-4-13+4=-13
8x-13
The following number belongs to which set of numbers 1.6 (the is a repeating decimal by the way)
A.Irrational number
B.Rational number, integers, and whole numbers
C. Rational numbers, and integers, but not whole numbers
D. Rational numbers, but not integers or whole numbers.
Answer:
Hope this helps oWO
Step-by-step explanation:
Federal courts hear cases involving the constitutionality of a law, cases involving the laws and treaties of the U.S. ambassadors and public ministers, disputes between two or more states, admiralty law, also known as maritime law, and bankruptcy cases. Federal courts generally have exclusive jurisdiction in cases involving (1) the Constitution, (2) violations of federal laws, (3) controversies between states, (4) disputes between parties from different states, (5) suits by or against the federal government, (6) foreign governments and treaties, (7) admiralty and ...
Find the slope and y-intercept.
Answer:
slope is four and the y-intercept is 1/5
solve and graph x-2y>_4
Answer:
hope this helps! (OwO)/
Step-by-step explanation:
answer quick will give 20 points
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
please help does anyone know this?!!!
Answer:
b c a
Step-by-step explanation:
b c a;b c a; b c a; b c a; b c a
Answer:
Step-by-step explanation:
THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point
y-2x=7, simply add 2x to both sides
y=2x+7
The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.
THe third one has one solution
compare the value of the 3 in 340,500 to the value of the 3 in 3,160,00
Answer:
Step-by-step explanation:
3 in 340,500 is 300,000
and 3 in 316 ,000 is 300,000
so 300,000-300,000 = 0
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12
Answer:
The answer is 3.
You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.
Hope this helps.
Write 45% as a decimal.
Answer:
0.45
Step-by-step explanation:
Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer: For 25% put the smallest one and for 60% put the one with blue shaded over six lines not included 0 line the small lines bye
Step-by-step explanation:
no no no no no
£5-2 x 0.81=
Answer for school and explanation please. would be great help
Answer:
3.38
Step-by-step explanation:
first do the multiplication
2×0.81
= 1.62
then the subtraction
5- 1.62= 3.38
A rectangle has a perimeter of 50 centimeters. If the width of the rectangle is 10 centimeters, what is its length?
Answer:
15 cm
Step-by-step explanation:
The perimeter of a rectangle is 2(L + W), where L is length of the rectangle and W is the width.
If we plug in 10 for W, we get this:
2L + 2(10) = 50 <-- the perimeter
2L + 20 = 50
2L = 30
L = 15
QUESTIONS: SOLVE FOR X
please help if you can !
please don't comment just to comment if its not gonna help me i really need help.
The cost of renting a boat is $51 for 4 hours. Which of the following is not an equivalent rate? Give the letter of your answer and justify your answer. Show your work.
A. $76.50 for 6 hours
B. $38.25 for 3 hours
C. $89.25 for 7 hours
D. $63.00 for 5 hours
Answer:
D. $63.00 for 5 hours
Step-by-step explanation:
The actual cost to rent the boat per hour is $12.75 when you multiply all the other hours by 12.75 it equals the correct amount except for (D) 5 ×12.75 = 63.75