Answer:
$3.10.
Step-by-step explanation:
You get the expected value by multiplying the payout by the probability, then adding them all up.
So...
(0 * 0.45) + (4 * 0.3) + (6 * 0.1) + (8 * 0.1) + (10 * 0.05) = 0 + 1.2 + 0.6 + 0.8 + 0.5 = 1.8 + 1.3 = 3.1
So, the expected value of the winnings from a game with the payout probability distribution is $3.10.
Hope this helps!
Which ordered pair is a solution if the equation? 2x + 3y = 10
Answer:
See below.
Step-by-step explanation:
Try each ordered pair in the equation. Each ordered pair is of the form (x, y). Replace x and y in the equation by values of x and y, respectively, in each ordered pair. Whichever ordered pair makes the equation a true statement is the answer.
For example:
Try (2, 3):
2x + 3y = 10
2(2) + 3(3) = 10
4 + 9 = 10
13 = 10
Since 13 = 10 is a false statement, (2, 3) is not a solution.
Try (2, 2):
2x + 3y = 10
2(2) + 3(2) = 10
4 + 6 = 10
10 = 10
Since 10 = 10 is a true statement, (2, 2) is a solution.
Irum is sitting on the beach, watching the tide go in and out. Irum's distance from the shoreline (in meters) as a function of time (in hours) is graphed. What is the approximate average rate at which Irum's distance from the shoreline increases, between the 9th and the 13th hour marks?
Answer:
Hi, the Answer is 0.75.
Step-by-step explanation:
it is 0.75 because if you look on the graph, and you calculate the 3/4 slope between the two, 3/4= 0.75
Answer:
A) 0.75 meters per hour
Step-by-step explanation:
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere. Which statement about the radius of the sphere is true
Answer:
Radius of sphere is 3 units.
Step-by-step explanation:
Volume of sphere is given by [tex]4/3 \pi r^3[/tex]
surface area of sphere is given by [tex]4 \pi r^2[/tex]
where r is the radius of the sphere.
Given that
The number of cubic units in the volume of a sphere is equal to the number of square units in the surface area of the sphere.
we equate formula of Volume of sphere and surface area of sphere
assuming r as the radius.
thus,
[tex]4/3 \pi r^3 = 4 \pi r^2\\\\4/3 \pi r^3/ 4 \pi r^2 = 1\\=>r/3 = 1\\=> r = 3[/tex]
Thus, radius of sphere is 3 units.
Considere a equação 5x + 5 = 4x - 2. a) substituindo x por -7 e efetuando os cálculos, mostre que -7 é a solução da equação. b) agora mostre que 5 não e a solução da equação.
Responda:
Explicação passo a passo:
Dê = n a equação 5x + 5 = 4x - 2, para mostrar que x = -7 é a solução, as seguintes etapas devem ser seguidas.
Etapa 1: Subtraia 5 de ambos os lados da equação
5x + 5 - 5 = 4x - 2 - 5
5x = 4x - 7
Etapa 2: Subtraia 4x de ambos os lados da equação resultante
5x = 4x - 7
5x - 4x = 4x - 7 - 4x
x = -7
Isso prova que a solução é x = -7
b) Para mostrar que 5 não é a solução, substituiremos x = 5 em ambos os lados da equação e verificaremos se são iguais ou não. Se eles não são iguais, significa que 5 não é uma solução.
Para o lado direito da equação, ou seja, 5x + 5
f (5) = 5 (5) + 5
f (5) = 25 + 5
f (5) = 30
Para o lado esquerdo da equação, ou seja, 4x-2
f (5) = 4 (5) - 2
f (5) = 20-2
f (5) = 18
Como os dois valores não são os mesmos, [tex]30\neq 18[/tex] ou seja, isso mostra que 5 não é uma solução
A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds), elapsed after the launch, by the law h(t) = 20t - 5t2. According to this information, determine the height at which the ball is 3 seconds after the throw and the maximum height reached by the ball.
Answer:
a. 15 meters.
b. 20 meters.
Step-by-step explanation:
a. The height of the ball at 3 seconds. 20 * 3 - 5 * (3)^2 = 60 - 5 * 9 = 60 - 45 = 15.
The ball will be 15 meters high.
b. The maximum height reached by the ball.
To get that, we need to find the vertex of the parabola. We do so by doing -b/2a to find the x-coordinate of the vertex.
In this case, a = -5 and b = 20.
-20 / 2(-5) = -20 / -10 = 20 / 10 = 2.
Then, we find the y-coordinate by putting 2 where it says "t".
h(2) = 20(2) - 5(2)^2 = (40) - 5(4) = 40 - 20 = 20 meters.
Hope this helps!
Answer:
pen
Step-by-step explanation:
Geometry help? prove triangle PQR~ triangle TSR
Answer:
Step-by-step explanation:
The third step's reason is given. Then you must make <QRP and <SRT congruent because all right angles are congruent. Then you have two angles in each triangle congruent and can thus prove the triangles congruent by AA.
The slope of the graph is –1. Which statement describes how the slope is related to the burning of a candle? candle height increases 1 cm per hour candle height decreases 9 cm per hour candle is 1 cm tall candle burns down 1 cm per hour
Answer:
candle burns down 1 cm per hour
Step-by-step explanation:
I believe that since the slope is -1, the steepness would be going downward. This means the candle would burn down.
Answer:
D.
Step-by-step explanation:
candle burns down 1 cm per hour
Raymond works for an architecture firm. His company has a contract to design a building on a rectangular plot of land that has an area of 421,808 square meters. The plot of land is 328 meters wide. What is the length of the plot?
Answer:
1286 meters long
Step-by-step explanation:
421,808 divided by the width of the plot gives you 1,286 meters for the width.
What is (14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b) simplified
Step-by-step explanation:
14.2a + 9.8b -13.1b + 0.2a - 3.7a -4.8b
= 14.2a + 0.2a -3.7a + 9.8b -13.1b -4.8b
= .......a + or - ....... b
The simplified form of the given expression is 10.7a-8.1b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b).
Now, 14.2a+9.8b-13.1b+0.2a-3.7a-4.8b
Group like terms, that is
(14.2a+0.2a-3.7a)+(9.8b-13.1b-4.8b)
= 10.7a+(-8.1b)
= 10.7a-8.1b
Therefore, the simplified form of the given expression is 10.7a-8.1b.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
Can somebody please help me!!
Step-by-step explanation:
Simply you replace X and Y by their values
Given: x=-1 y=-4
10 - (-X)^3 + y^2
=10 + X^3 + Y^2
Now replace X and Y
=10 + (-1)^3 + (-4)^2
=10 - 1 + 16
= 25
Two numbers are in the ratio 3: 7. If 1 is added to the smaller number and 7 is added to the larger, they will be in the ratio 1: 3. Find the numbers.
Answer:
6 and 14
Step-by-step explanation:
The numbers are in the ratio 3 : 7 = 3x : 7x (x is a multiplier )
adding 1 to smaller number is 3x + 1 and 7 to the larger is 7x + 7, then
3x + 1 : 7x + 7 = 1 : 3
Expressing the ratio in fractional form
[tex]\frac{3x+1}{7x+7}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3(3x + 1) = 7x + 7
9x + 3 = 7x + 7 ( subtract 7x from both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the numbers are
3x = 3(2) = 6
7x = 7(2) = 14
rapezoid FGHI is shown below. Trapezoid F G H I. Sides F G and I H are parallel. Which sides of the trapezoid are parallel? Side F G and Side I H Side G H and Side F I Side G H and Side I H Side F G and Side G H
Answer:
Side F G and Side I H
Step-by-step explanation:
No picture attached but from the description, we got:
Trapezoid F G H I
F G ║I H
Which sides of the trapezoid are parallel?
Side F G and Side I H - yes, already given as parallelSide G H and Side F I - no, non-parallel opposite sidesSide G H and Side I H - no, intersect on point HSide F G and Side G H- no, intersect on point GAnswer:
the top answer is correct
Step-by-step explanation:
Write the equation of the line perpendicular to 2x - 6y = 12 that passes through the point (-3,0).
slope intercept: y = 1/3x - 2
Answer:
y = -3x -9
Step-by-step explanation:
slope = 1/3
perpendicular slope = -3
y = mx + b
0 = -3(-3) + b
-9 = b
y = -3x -9
Answer:
y = -3x-9
Step-by-step explanation:
2x - 6y = 12
Solving for y we get
-6y = -2x+12
y = 1/3x -2
The slope is 1/3
Perpendicular lines have slopes that multiply to -1
m * 1/3 = -1
Multiply each side by 3
m * 1/3 * 3 = -1 *3
m = -3
The perpendicular line has a slope of -3
Using the slope intercept form
y = mx+b
y = -3x +b
And the point (-3,0) is substituted into the equation
0 = -3(-3) +b
0 = 9+b
B = -9
y = -3x-9
What is the slope of the line given by the equation y=-3X?
A. 1/3
B. -1/3
C. -3
D. 3
Answer:
[tex]\boxed{-3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation is determined by the constant equation [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept of the line.
Therefore, we can use the equation given and implement it to find your slope.
[tex]y=-3x[/tex]
Our equation does not have a y-intercept, [tex]b[/tex]. Therefore, it can just be inferred as [tex]+0[/tex].
Because we do have a [tex]m[/tex], we can then find out what our slope is: [tex]\boxed{-3}[/tex].
What do I do please help
Answer:
The answer is y=1x+2
Step-by-step explanation:
Simply count up on both sides. Then take the number of increases between each y value and place it on top of the increase of the x value. Divide. To find the y-intercept, or "b", take the constant of the y and count back until the x is zero. For example, since the chart is consistently going up by 1s on each side, take the first "y" value, 3, and count one back to zero on the x. It is two.
Answer:
y=1x+2
Explanation:
You use the equation y=mx+b.
Here is how I got my answer
step 1: Find the slope by finding the change in y values and x values
x y
1 3
2 4
3 5
4 6
5 7
X=+1
Y=+1 you do the change of y over the change of x and get 1/1=1
So far in the equation now you have y=1x+b
Step 2:Solve for the b value by substituting the y and x variable with a value from the table
x y y=1x+b
1 3 3=1(1)+b-->3=1+b-->3-1=b+1-1-->2=b
2 4
3 5
4 6
5 7
Step 3: Plug in all the numbers you got into the equation y=mx+b
y=1x+2
– StartFraction 5 Over 3 EndFraction v plus 4 equals 8 minus StartFraction 1 Over 3 EndFraction v.(6x – 3) = –
Answer:
v=11/5 or v=2.2
Step-by-step explanation:
The wording of this question is a little confusing but if it says what I think it does (5/3v+4=8-1/3) then this is the answer.
Which equation represents a circle with a center at (2,-3) and a radius of 11
Answer:
x^2-4x+y^2+6y-108=0
Step-by-step explanation:
[tex]The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0[/tex]
Patty buys a new car and gets it appraised every few years. After owning the car for 3 years, it’s value is $15,000. After owning the car for 5 years, it’s value is $9,000. What is the constant of proportionality in this inverse variation?
Answer:
The constant of proportionality in the inverse variation is -3000
Step-by-step explanation:
Given that the initial value of the car was X, after owning the car for 3 years the value is $15,000 and the value after 5 years was $9,000 we have;
At year 3, value of car = $15,000
At year 5, value of car = $9,000
Rate of change of car value with time = Constant of proportionality
Rate of change of car value with time = (15000 - 9000)/(3 - 5) = -3000
The constant of proportionality = -3000
Therefore;
y - 15000 = -3000 × (x - 3)
y = -3000x + 9000 + 15000 = -3000·x + 24000
The value of the car, y with time,x is, y = -3000·x + 24000
You purchase a $100,000 life insurance policy for a $300 premium each year. If the probability of living is 0.999, find the expected value for the insurance company.
Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
A soda factory has a special manufacturing line to fill large bottles with 2 liters of their beverage. Every process is computerized. However, it doesn't always fill exactly 2 liters. It follows a normal distribution, with a mean of 1.98 liters and a variance of 0.0064 liters. If the amount of soda in a bottle is more than 1.5 standard deviations away from the mean, then it will be rejected.
Find the probability that a randomly selected bottle is rejected.
a. 0
b. 0.07
c. 0.04
d. 0.13
e. 0.19
write the equation of the parabola in vertex form
Answer:
y = -(x - 2)^2.
Step-by-step explanation:
Vertex form is a(x - b)^2 + c where a is a constant and (b, c) is the vertex.
Here b = 2 and c = 0
So we have:
y = a( x - 2)^2 + 0
When x = 4 y = -4 so:
-4 = a( 4 - 2)^2
a = -4/2^2 = -1
So the required equation is
y = -(x - 2)^2.
Find the center and radius of the circle x2 + y2 –6y – 16 = 0
Answer:
centre=(0,3) radius =5
Step-by-step explanation:
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify [Q - R] + [S - T].
10m - 7n - 14
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
Answer:
The answer is 10m + 7n - 14
Step-by-step explanation:
Q = 7m + 3n
R = 11 - 2m
S = n + 5
T = -m - 3n + 8
[Q - R] + [S - T] is
[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]
Solve the terms in the bracket first
That's
( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)
( 9m + 3n - 11 ) + ( m + 4n - 3)
Remove the brackets
That's
9m + 3n - 11 + m + 4n - 3
Group like terms
9m + m + 3n + 4n - 11 - 3
The final answer is
10m + 7n - 14Hope this helps you
explain how to do this question plz
Answer: about 17.7%
Step-by-step explanation:
The area of a trapezoid is ((b1+b2)/2)*h
Thus, the area of the trapezoid is 85 meters squared. Thus, because the garden is 480 meters squared, the trapezoid occupies 85/480 of the garden, or about 17.7 percent.
Hope it helps <3
Answer:
17.7% rounded to the nearest tenth
Step-by-step explanation:
Well to find the percent of space the trapezoid takes up we need to find both areas.
To find the area of a Rectangle we do l*w.
So the l is 30 and the w is 16 so,
30*15 = 480m^2
To find the area of a Trapezoid [tex]\frac{b1 + b2}{2}h[/tex].
So b1 is 20 and b2 is 14,
14 + 20 = 34
34/2 = 17
17 * h
17 * (5) = 85m^2
So now we make a fraction of the areas of the trapezoid and rectangle,
[tex]\frac{85}{480}[/tex]
Now we simplify,
85/5 = 17
480/5 = 96
So 17/96 is in its simplest form so now we do 17/96 which is 0.1770833333
So to the following into a percent we move the decimal places 2 places to the right which is about 17.7% rounded to the nearest tenth.
Forty cards are placed into a box, each bearing a number 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, with each number entered on four cards. Four cards are drawn from the box at random and without replacement. Let $p$ be the probability that all four cards bear the same number. Let $q$ be the probability that three of the cards bear a number $a$ and the other bears a number $b$ that is not equal to $a$. What is the value of $q/p$?
Answer:
The value of q/p = 144
Step-by-step explanation:
Number of cards in the box = 40
Each bearing a number: 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10
Each number appears 4 times cards in total
p = the probability that all four cards bear the same number.
q = the probability that three of the cards bear a number 'a' and the other bears a number 'b' that is not equal to 'a'.
The cards were chosen without replacement.
For Probability without replacement, the total number of items decrease after each pick. When considering same items, the number of the same item also decrease after each pick.
a) In this question, the order of the 4 cards picked is irrelevant.
Pr (4 same cards) = p = 4/40 × 3/39 × 2/38 × 1/37
p = 24/2193360 = 1/91390
Pr (3same cards and 1 different card) = q
Probability of picking 'a' card = 4/40
Probability of picking other cards aside 'a' = Probability of not picking 'a' card
= 36/40
Since we were not told what the particular number of the other number is, it would be any of the remaining 36 numbers.
b) In this question, we would consider the order of the 4 cards picked.
q = Pr(baaa) + Pr(abaa) + Pr(aaba) + Pr(aaab)
Without replacement
q = (36/40 × 4/39 × 3/38 × 2/37) + (4/40 × 36/39 × 3/38 × 2/37) + (4/40 × 3/39 × 36/38 × 2/37) + (4/40 × 3/39 × 2/38 × 36/37)
q = 4[(36×24)/2193360]
q= 144(24)/2193360 = 144(24/2193360)
q= 144(1/91390) = 144/91390
The value of q/p = (144/91390)/(1/91390)
The value of q/p = (144/91390) × (91390/1)
The value of q/p = 144
Find the coefficient of fourth term of (-x -3)^5
Answer:
-270
Step-by-step explanation:
Here, we want to know the coefficient of the fourth term.
The coefficients according to pascal triangle for the expansion is 1 5 10 10 5 1
So the expansion looks as follows;
1[(-x)^5(-3)^0] + 5[(-x)^4(-3)^1)] + 10[(-x)^3(-3)^2) + 10[(-x)^2(-3)^3] + ...........
So the fourth term we are dealing with is
10[(-x)^2(-3)^3)]
So the value here is
10 * x^2 * -27
= -270 x^2
So the coefficient is -270
Find the equation of the line passing through the point (–1, –2) and perpendicular to the line y = –1∕2x + 5. Choices are in the attachment...
Can someone help me with this question please.
Answer:
98
Step-by-step explanation:
3 bed house= 33 rooms
4 bed house 40 rooms
4 bed house 25 rooms
each house is worth 2 houses. so u double everything
hope I got it right
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below.
Answer:
complementary
b = 45 deg
Step-by-step explanation:
Angles b and 45-deg are complementary since their measures ad to 90 deg.
45 + b = 90
b = 45
Answer:
Complementary
45°
Step-by-step explanation:
b + 45° = 90°
b = 90° - 45°
b = 45°
Someone answer quick please for brainliest !
Find the equation of the line that passes through (1,2) and is perpendicular to y=2x +3
Leave your answer in the form y=mx +c
Answer:
The equation of the line is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Step-by-step explanation:
Equation of a line is
[tex]y = mx + c[/tex]
Where m is the slope
c is the y intercept
y = 2x + 3
Comparing with the above formula
m is 2
Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .
That's
m = - 1/2
Equation of the line using point (1,2) and slope - 1/2 is
y - 2 = -1/2(x - 1)
y - 2 = -1/2x + 1/2
y = -1/2x + 1/2 + 2
The final answer is
[tex]y = - \frac{1}{2} x + \frac{5}{2} [/tex]
Hope this helps you.