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Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
Joan draws a bar chart to show the temperatures at midday
on March 1st in five cities.
Joan has made four mistakes
in her diagram
Answer:
See Explanation
Step-by-step explanation:
The answers are in the attachment already; I guess you need an explanation.
For the first answer
- The bars of Paris, Oslo and Munich are not properly drawn.
This is so because distance between the bats of a bar chart is expected to be the same between all bars.
From the attachment above, it doesn't look so because the bats of these three cities are out of position.
In other words, the vertical lines of the bars must align with the vertical lines of the grid in the graph.
- The Temperature in the y axis doesn't start with 0
When plotting a graph, the origin must be 0 but in the attachment above, Joan used an origin of 2, which is totally incorrect.
- In Munich, the bar graph for x axis is taken more than 1 unit.
The bars of the bar graph should maintain a constant width but from the attachment above, the width of the bar is wider than the width of other bars
what is circular test track
Answer:
A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.
Step-by-step explanation:
there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class
Answer:
[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]
Step-by-step explanation:
Given:
In a class the ratio of boys to girls is 4:7.
The total number of students is between 24 and 40.
Solve for:
The total number of students
Solution:
The total number of student could be divided in portions with ratio 4:7
=> It must be the divisor of (4 + 7) or 11.
Otherwise, it is a number between 24 and 40.
There is only one divisor of 11, lying between 24 and 40. That is 33
=> The total number of students: 33
Hope this helps!
:)
Which equation can be used to solve for x in the following diagram?
Answer:
18x = 90
x = 5
Step-by-step explanation:
Since it is a 90° angle, you can use 11x + 7x = 90
18x = 90
Can anyone explain to me what I did wrong here? Thanks!
Answer:
B
Step-by-step explanation:
I think you are right
Hope it helps
1. Identify the domain of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A. {0,7,9,17}
B. {0,1,4,8}
2.Identify the range of the following function:{(8,7),(4,9),(0,0),(1,17)} *
A.{0,7,9,17}
B.{0,1,4,8}
Answer:A
Step-by-step explanation: The range are all othe y values (the outputs) in chronological order
Find the y-intercept of the following equation. Simplify your answer. 25 points will mark Brainly
y = 9x − 9
y-intercept =
Answer:
- 9
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 )
y = 9x - 9 ← is in slope- intercept form
with y- intercept c = - 9
solve tan x - cot x = -2cos 2x cosec 2x
Answer:
Step-by-step explanation:
tan x-cot x
[tex]=\frac{sin~x}{cos~x} -\frac{cos~x}{sin ~x} \\=\frac{sin^2x-cos^2 x}{sin ~x~cos~x} \\=\frac{-2(cos^2x-sin^2x)}{2 sin ~x~cos~x} \\=\frac{-2 cos~2x}{sin~2x} \\=-2 cos ~2x~cosec~2x[/tex]
Can someone help me simplify these expressions
Step-by-step explanation:
4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.
7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9
The area of a circle is pi(9x^2 + 42x +49). What is the circumference of the circle? Plz help will mark brainliest!
Answer:
2pi(3x + 7)
Step-by-step explanation:
In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;
[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]
Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );
[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]
As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;
[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]
If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;
[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]
Solution = 2pi(3x + 7)
The cube root of 24.
Answer:
2.88449914
Step-by-step explanation:
What is 0.00245 in standard form
Answer:
2.45*10^-3
Step-by-step explanation:
The number 0.00245 expressed in standard form is; 2.45 × 10-³.
While expressing numbers in standard form;
We must ensure that only one significant digit appears before the decimal point.
As such; we have 2.45 × 10-³.The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.
Read more:
https://brainly.com/question/11288844
Solve for x in the equation x squared minus 12 x + 59 = 0.
Answer:
4 11/12
Step-by-step explanation:
x2−4x−12<0
x2+10x−24<0
x−1=2y
x=−5912
Decimal Form:
x=−4.91¯6
Mixed Number Form:
x=−4 11/12
Answer:
There is no solution to this.
Step-by-step explanation:
Maybe check for a typo?
you would first need to calculate the discriminant, D= b^2-4 a c
D= (-12)^2 -4*1*59
Simplify
D=-92
Since D<0, the quadratic equation has no real solutions.
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
Please help asap!!
Graph (x, y): x + 2y 6
Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!
Answer:
14 minutes...
Step-by-step explanation:
Wage for an hour: $11.50 per hour
Wage for first 35 hours: $11.50*35 = 402.5
Wage after 35 hours: $17.25 per hour
Earning in one week: $626.75
Therefore, hours worked :
$626.75 - 402.5 = 224.25
Now 224.25/17.25 = 13
Therefore total hours is
13+35 = 48 Hours
Mark as brainliest
how to find X using pythagorean theorem if the other two sides are 10 and 8
Answer:
x= 13
Step-by-step explanation:
10*10+8*8=x2
100+64=x2
164=x2l
Which of the following is an equation of a line parallel to the equation y=4x+1?
Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??
Answer:
Step-by-step explanation:
for 140
miles he had slept
Olive's Pizza Kitchen has a new oven that is shaped like a rectangular prism. Inside, the oven is 5 feet wide and 5 feet deep so it can bake their super large pizzas. It is also 3 feet high. What is the oven's volume?
Answer:
The volume of the oven is 75 ft^3
Step-by-step explanation:
Here, we are interested in calculating the volume of a Pizza Kitchen’s oven which is shaped like a rectangular prism.
Now, to calculate this volume, what we do is to simply multiply the area of the base by the height of the oven.
Mathematically, the area of the base of the oven is simply = L * B = 5 * 5 = 25 ft^2
Now to get the volume, we multiply this by the height = 25 * 3 = 75 ft^3
If Colin tosses a normal die from a board game, what is the probability that the result will be prime?
A. 2/3
B. 5/6
C. 1/2
D. 1/6
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?
Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
What is -3 1/2 ÷ 4/9 = ???
Answer: -7.875
Step-by-step explanation:
Would somebody help with this?
Answer:
Both A and D
Step-by-step explanation:
Not absolutely 100%, but I think it's the answer.
Figure FGHJ was dilated by a scale factor of k centered at point H, as shown. What is the value of k?
Answer:
2
Step-by-step explanation:
just see the slope of FG
from F to G is 5 to the right and 1 goes up.
then, see the F'G' slope
its 10 to the right and 2 goes up
it TWICE
A ball is being inflated at a rate that can be modeled by the function V(t) = 10t, where t is the number of seconds spent inflating the ball. The radius at a given volume can be modeled by the function r(V)=^3√3V/4pi.
Which composite function can be used to determine the radius of the ball depending on the number of seconds spent inflating the ball?
Answer:
Correct option: second one
Step-by-step explanation:
To find the composite function r(V(t)) (radius of the ball in relation to time being inflated), we just need to use the value of the equation V(t) in each value of V in the function r(V).
[tex]V(t) = 10t[/tex]
[tex]r(V)=\sqrt[3]{3V/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3V(t)/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{3*10t/4\pi}[/tex]
[tex]r(V(t))=\sqrt[3]{30t/4\pi}[/tex]
Correct option: second one
Answer:BBBBBBBBB
Step-by-step explanation:
you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box
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Work Shown:
x = side length of cube = 6 inches
SA = surface area of cube
SA = 6x^2
SA = 6*6^2
SA = 6*36
SA = 216 square inches
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side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area
SA = 2*(L*W+L*H+W*H)
where L,W,H are the length, width and height respectively.
Plzzzzzz answer fast I need help
Answer:2,3,4
Step-by-step explanation:
PLEASE HELP ME WITH THIS! VERY IMPORTANT!!! SMART PEOPLE PLEASEEE
12 is the median age of the kids at my camp. There are 10 kids who are older than 12 and 10 kids who are younger than 12.
Answer:
There are 25 kids in total.Step-by-step explanation:
Remember that the median represents the value at the middle, literally.
So, if 12 is the median, it means is the value at the center of the data set.
Now, according to the problem, there are 10 kids older than 12 and 10 kids younger than 12. That means there are 24 kids who doesn't have 12 years old.
Therefore, there are 25 kids in total.
