Answer:
[tex]E(x)=-0.2101[/tex]
Step-by-step explanation:
The expected value for a discrete variable is calculated as:
[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the values that the variable can take and [tex]p(x_1)[/tex] and [tex]p(x_2)[/tex] are their respective probabilities.
So, a player can win 2 dollars or looses 1 dollar, it means that [tex]x_1[/tex] is equal to 2 and [tex]x_2[/tex] is equal to -1.
Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.
If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:
[tex]P(a)=nCa*p^a*(1-p)^{n-a}[/tex]
Where [tex]nCa=\frac{n!}{a!(n-a)!}[/tex]
So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.
Therefore, the probability [tex]p(x_1)[/tex] that a player get at least two times number 6, is calculated as:
[tex]p(x_1)=P(x\geq2)=1-P(0)-P(1) \\\\P(0) =6C0*(1/6)^{0}*(5/6)^{6}=0.3349\\P(1)=6C1*(1/6)^{1}*(5/6)^{5}=0.4018\\\\p(x_1)=1-0.3349-0.4018\\p(x_1)=0.2633[/tex]
On the other hand, the probability [tex]p(x_2)[/tex] that a player don't get at least two times number 6, is calculated as:
[tex]p(x_2)=1-p(x_1)=1-0.2633=0.7367[/tex]
Finally, the expected value of the amount that the player wins is:
[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)\\E(x)=2*(0.2633)+ (-1)*0.7367\\E(x)=-0.2101[/tex]
It means that he can expect to loses 0.2101 dollars.
Answer:
Expected value = -0.2101
Step-by-step explanation :
Givena discrete variable the expected value is given as:
E(x) = xp(x) + yp(y)
Where x and y are the values the variables can assume, and p(x) and p(y) are their respective probabilities.
Probability that a player gets 6 at least twice = p(x ≥ 2) = 1 - p(x≤ 2)
= 1 - p(0) - p(1)
But p(0) = 0.3349
p(1) = 0.4018
p(x ≥ 2) = 1 - 0.3349 - 0.4018
= 0.2633
p(y) = 1 - p(x)
= 1 - 0.2633
= 0.7367
Expected value = 2(0.2633) + (-1)(0.7367)
= -0.2101
A loss of $0.2101 is expected.
What is the product (40 + (-10))((36 + (-9))(32 + (-8))...(-32 + 8)(-36 + 9)(-40 + 10) where the first number in each factor is decreasing by 4 and second number in each factor is increasing by 1?
Answer:
0
Step-by-step explanation:
The first number is 40 and decreases by 4 in each factor, and the second number is -10 and increases by 1 in each factor.
The first number is positive and decreases by 10% its value in each factor, and the second number is negative and increases by 10% its absolute value in each factor. That means we will have a factor where both numbers are 0 (in the 11th value, we will have the first number 40 - 4*10 = 0 and the second number -10 + 1*10 = 0), so the factor will be 0 + 0 = 0, and then whole product will be zero.
HELP MEEEEEEEEEEEEEEEEE
Call x the number of burgers in a Crave Case.
Mr. Thomas has 5x+5 burgers
Mr. Garcia has 3x + 15 burgers
We're told they're equal,
5x + 5 = 3x + 15
That's the answer to the first part: 5x + 5 = 3x + 15
2x = 10
x = 5
Answer: 5 burgers per Crave Case
Answer:
eegdujbslspm
Step-by-step explanation:
siuodby s9isbnp' udjauoeawkjshdguibdewnduewhsuidknfuk yeosjuwdi nldijs aidbskbodbshbbdpoopne f
share £40 in the ratio 1:4 between Tim and Sam
Answer:
[tex]\£8:\£32[/tex]
Step-by-step explanation:
[tex]\frac{40}{1+4}[/tex]
[tex]\frac{40}{5}[/tex]
[tex]=8[/tex]
[tex]1:4[/tex]
[tex]1 \times 8:4 \times 8[/tex]
[tex]8:32[/tex]
Answer:
Tim gets £8
Sam gets £32
Step-by-step explanation:
Ratio is 1:4
So, Total parts are 1+4 = 5
Dividing it by total parts
= [tex]\frac{40}{5}[/tex]
= £ 8
So, Tim gets £8
But,
Sam gets 4(£8)
= Sam gets £32
The right trapezoid below has been decomposed into a rectangle and a right triangle.Find it's area two ways: By summing the areas of the rectangle and triangle.
Answer:
103.5 m²
Step-by-step explanation:
To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of the rectangle and the triangle gives the area of the trapezoid.
For the right trapezoid attached below, the area can be gotten by:
Area of rectangle = length × breadth = 9 × 8 = 72 m²
Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²
Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²
Which of the following describes the growth rate of the exponential function in the graph below?
For each x increase of 1, they increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, they increases by doubling and then adding 1.
Answer:
For each x increase of 1, the y increases by a common factor of 3. (second answer listed)
Step-by-step explanation:
Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.
Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:
[tex]f(x)=a\,\,b^x[/tex]
to be called exponential.
So every time that x increases by one unit, the following happens:
[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]
So notice that the original function ends up being just multiplied by the common factor "b".
The other options don't describe such behavior.
Answer:
For each x increase of 1, the y increases by a common factor of 3.
Step-by-step explanation: hope it helps ^w^
Here's the question. Please awnser ASAP
Answer:
the answer is A because the pair of ratios are equivalent.
20% of a number is 58
Answer:
290
Step-by-step explanation:
The reason this is the answer is because if you divide 100% by 20% it will give you 5% so then you have to multiply 58 times 20 which will give you 290.
Answer:
290
Step-by-step explanation:
In A, tangent HF and chord EG intersect to form ZHEG. Find mZHEG.
A. 118°
B. 236°
C. 242°
D. 3540
Please select the best answer from the choices provided
B
D
Answer:
A.
Step-by-step explanation:
Sam read 20 pages, which is 2/3 of the book. How many pages are there in the book?
Answer:
30pages
Step-by-step explanation:
20 is 2/3 so 10 is 1/3 so 3/3 is one book
Answer:
30 pages
Step-by-step explanation:
Solve the volume formula V= /wh for h.
Answer:
V = lwh
/lw /lw
h = V/lwFirst isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.
A rectangular garden has dimensions of 12 feet by 20 feet. The homeowner wants to increase each dimension by 20%.
A. Find the original perimeter and area of the garden
B. Find the perimeter and area of the garden with a 20% increase in each dimension.
C. By what percent will the perimeter increase? By what percent will the area increase?
D. Explain why the area and perimeter will not increase by the same percentage.
Answer:
w=12 ft
l= 20 ft
A.
P= 2(12+20)= 64 ft
A= 12*20= 240 ft²
B.
P=2(12*1.2+20*1.2)= 76.8 ft
A= 12*1.2*20*1.2= 345.6 ft²
C.
(76.8-64)/64*100%= 20%
(345.6- 240)/240*100%= 44%
D.
perimeter increase is linear function of one dimension increase
area increase is function of 2 dimensions increase
Answer fast pleaseee, Solve the following system of equations: y= -5x +1 and y= -x-3
Answer:
x=1 y=-4
Step-by-step explanation:
Answer:
(1, - 4 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 1 → (1)
y = - x - 3 → (2)
Since both are expressed in terms of y, equate the right sides, that is
- x - 3 = - 5x + 1 ( add 5x to both sides )
4x - 3 = 1 ( add 3 to both sides )
4x = 4 ( divide both sides by 4 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = - 1 - 3 = - 4
Solution is (1, - 4 )
Can someone pls help me solved this problem plz! I really need help plz someone help me solved it! I need help ASAP!
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
8, 17, 26, ...
Find the 32nd term.
Answer: 287
Step-by-step explanation:
8, 17, 26
So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.
That means we need 29 more terms to get to the 32nd term.
29 * 9 = 261
261 + 26 = 287
287 is 29 terms past 26, which is the 3rd term.
find the length of each side of a square field whose area is 608 sq.m
Answer:
a=24.65 sq.m
Step-by-step explanation:
A=[tex]a^{2} or l^{2}[/tex]
608=[tex]a^{2}[/tex]
[tex]a=\sqrt{608}[/tex]
[tex]a=24.65[/tex]
To check your answer
[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]
factorise: 2x + 6y 2x-4 t + 2t squared
Segment AC bisects angle BAD if the measure of angle BAC is 20 degrees what’s is the measure of angle BAD
Answer:
40°
Step-by-step explanation:
An angle bisector divides an angle into 2 equal angles. 20° x 2 = 40°.
Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP
Answer:
Correct option: A -> AA postulate
Step-by-step explanation:
In the figure we can see that in triangle ABC we have:
A = 53°
B = 72°
And we can see in the triangle LMN that:
L = 53°
M = 72°
We have two pairs of angles (A - L and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.
So the correct option is A: AA postulate.
£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer:
Step-by-step explanation:
what is the middle product of (-2x+1)(-3-5)?
Answer:
7x
Step-by-step explanation:
The volume of a cube depends on the length of its sides. This can be written
in function notation as ws). What is the best interpretation of v(4) = 64?
Answer:
46=-76.333(6×7)-÷45%€7*÷00.0001×6÷45+2
Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
Answer:
The x-intercept indicates that he has 29 ten dollar bills
and no five dollar bills. The y-intercept indicates that he has 58 five
dollar bills and no ten dollar bills.
Step-by-step explanation:
f(x)= square root x-3
I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.
If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then
y = sqrt(x-3)
y = sqrt(7-3)
y = sqrt(4)
y = 2
So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.
As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.
An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.
5 Points
Rebecca is given two triangles, AABC and A DEF. At first glance, she thinks
that the triangles are congruent. How can she use what she knows about
rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)
She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
As per the given figure, we have triangles in which two angles and one side are equal.
∠A = ∠E = 65° (angle)
BA = ED (side)
∠A = ∠E = 30° (angle)
By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)
Thus, the correct answer is option A.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ7
The area of a rectangle is 54 5454 square meters. The width is 9 99 meters long. Which equation correctly relates the given information and the length, ℓ ℓell?
Answer:
it is longer than 1/3
Step-by-step explanation:
Look at the graph What is slope of the line
Answer:
You didn't insert the/a file
Step-by-step explanation:
Which is a stretch of an exponential decay function?
f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x
Answer:
C
Step-by-step explanation:
The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.
What is exponential decay function?The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]
where,
y is the final amount,
a is the original amount,
(1 -b) is the decay factor,
and x is the amount of time that has passed.
For a exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.
And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.
According to given question.
We have some functions in which we have to find the which one represents the decay function.
According to the function
[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]
For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.
Therefore, the above function doesn't represent decay function.
[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]
Here, a < 1 i.e. [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]
Here, b < 1 so it represents the exponential decay function. Also a > 1.
Therefore, the given function is the stretch of an exponential decay function.
[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]
Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.
Find out more information about exponential decay function here:
https://brainly.com/question/14355665
#SPJ3
Factor the expression 15x+10 using the GCF.
Help plz ASAP will give brainliest to first who solves!
Answer:
The greatest common factor is 5.
15x+10=5(3x+2)
anyone know the answer ? :(
The smallest x value allowed is x = 0, as shown as the leftmost point on the graph at (0,0).
The largest x value allowed is x = 11 because of the right-most point (11,100).
The domain is the set of any real number between those endpoints. We can pick any fractional or decimal number in this interval since time can be subdivided however you want, so the set of integers isn't enough.
2) solve for h: a = 1/2 bh
(area of triangle)
Answer:
h = 2a/b
Step-by-step explanation:
a = 1/2 bh
2*a = 2* 1/2 bh
2a = bh
2a/b = bh/b
2a/b = h
