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.
-30 belongs to what family of real numbers ?
Answer: Irrational numbers
Triangle ABC has a perimeter 22cm AB = 8cm BC =8cm By calculation, deduce whether triangle ABC is a right angle triangle. NEED AN ANSWER ASAP
Answer:
No ABC is not a triangle
Step-by-step explanation:
Perimeter = 22 cm
AB = 8 cm ; BC = 8 cm
AC = 22 - ( 8 + 8 ) = 6 cm
But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......
Had it followed the theorem , it could have been a right angle triangle...
10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80.4 seconds 2 seconds 4.6 seconds It will never hit the ground.
Answer:
Its 2!
Step-by-step explanation:
Just got it correct on edge 2020
The projectile is on the ground for 2 seconds.
What is a projectile?A projectile is an object this is propelled via the application of external pressure and then movements freely underneath have an impact on gravity and air resistance.
What are the 3 types of the projectile?the bullet, the round ball, shotLearn more about projectile here https://brainly.com/question/12870645
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Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Answer:
A line in form of y = ax + b passes (0, 2)
=> 2 = 0x + b => b = 2
This line also passes (4, 6)
=> 6 = 4x + 2 => x = 1
=> Equation of this line: y = x + 2
=> Option C is correct
Hope this helps!
:)
Step-by-step explanation:
What is 15% of 80kg????
Answer:
12 kg
Step-by-step explanation:
15%×80 =
= 15×80/100
= 15×8/10
= 120/10
= 12 kg
Find the value of x.
Please help
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
find the value of x.
please help !!!
Answer:
62 degrees
Step-by-step explanation:
all triangles equal 180 degrees so you would add both angles together then subtract the sum of that by 180
Answer:
[tex]x=62^o[/tex]
Step-by-step explanation:
Since the addition of all internal angles of a triangle should add up to [tex]180^o[/tex], then, the missing angle can be found by subtracting the two known angles from [tex]180^o[/tex]:
[tex]x=180^o-68.5^o-49.5^o=62^o[/tex]
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?
Answer:
The new length is 13.5 meters
Step-by-step explanation:
Here, we are interested in calculating the new length of the cloth she wants to use
What we know from the question is that she is making a reduction of 10% from an initial of 15 meters
Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is
Mathematically, that would be ;
10/100 * 15 = 1.5 meters
We now subtract this from the total of 15 meters
= 15 meters - 1.5 meters = 13.5 meters
If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen
Answer: 60
Step-by-step explanation:
Cost of 1 cup = 80
Actual cost of 6 cups = 80 x 6 = 480
1/2 dozen cups were bought for 420
Discount 480 - 420 = 60
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!
Answer:
The width is 2x+1
Step-by-step explanation:
10x^2 +5x
Divide this by 5x
10x^2 /5x = 2x
+
5x/5x =1
Add this together
2x+1
The width is 2x+1
Answer:
( 2x + 1 )
Step-by-step explanation:
10x^2 + 5x
it could also be;
5x (2x + 1)
so, the width is( 2x +1)
find the size of angle yxz give your answer to 3 significant figures 20cm 8cm
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
What are trigonometric ratios?In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Calculate the angle ∠YXZGiven YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
Learn more about trigonometric ratios here :
brainly.com/question/22384999
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20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = [tex]\frac{216}{-1296}[/tex] = [tex]\frac{-1296}{7776}[/tex] = [tex]\frac{7776}{-46656}[/tex] = - [tex]\frac{1}{6}[/tex]
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - [tex]\frac{1}{6}[/tex] = - 36
a₆ = - 36 × - [tex]\frac{1}{6}[/tex] = 6
Answer:
It's 6
Step-by-step explanation:
Got it right!
1 –46,656
2 7,776
3 –1,296
4 216
5 36
6 6
divided by 6 every time
x:28=1:8
Whats the answer eh
Answer:
Step-by-step explanation:
We can setup the equation as
x/28 = 1/8
Cross multiplying we get
8x = 28
Dividing by 8 we get
x = 28/8 = 7/2
A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math
Answer:
119,940 books are not about math.
What I did:
60x2000=120,000
120,000-60=119,940
Answer:
119940
Step-by-step explanation:
.05 % are about math
b= books
b * .05% = 60
Change to decimal form
b * .0005 = 60
Divide each side by .0005
b = 60/.0005
b =120000 books in the store
we want the ones not about math
120000-60
119940
what is the constant of proportionality for y=5/8x
Answer: 5/8
Step-by-step explanation:
Answer:
k = [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
The standard form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{5}{8}[/tex] x ← is in this form
with k = [tex]\frac{5}{8}[/tex]
Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?
Answer:
a. 75%
Step-by-step explanation:
Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.
We are given ...
P(p) = 0.40
P(p&c) = 0.30
The conditional probability of interest is ...
P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75
The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.
Can someone please help me with this?
Answer: x= -3 + 2[tex]\sqrt{2\\}[/tex] or -3 -2 [tex]\sqrt{2}[/tex]
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
(sorry don't know how to put in equations here)
Answer:
Answer: x= -3 + 2\sqrt{2\\} or -3 -2 \sqrt{2}
Step-by-step explanation:
First you want to get the quadratic formula
in this case a=1 b=6 and c=1
plug it in and solve the equations
Let the polynomials A = 7x² + 3xy and B = -3xy.
Determine A + B.
a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy
Answer:
The answer is 7x²
Step-by-step explanation:
Since we have to add the two polynomials together, we write it as A+B=7x²+3xy-3xy. Now, we simplify, and we are left with A+B=7x²
What is the length of the hypotenuse of the triangle when x=13
Answer:
90.80
Step-by-step explanation:
6x+4
= (6)(13)+4
= 78+4
=82
3x
=(3)(13)
= 39
So we know the sides are 39 and 82
Pythagoras theorem in triangles
= a2+b2= c2
Now, we know the value of a and B but not c (the hypotenuse)
Therefore,
c2 = (39)^2 + (82)^2
= 1521+ 6724
= 8245
so, c = √8245
= 90.80 unitd
Add 7m/16+(-m/16) . Reduce, if possible.
Plzz answer quickly
Answer:
6m/16 = 3m/8
Step-by-step explanation:
since the fractions have the same denominator, just take out the operation on the numerators of the 2 fractions. So, 7m +(-m).
7m +(-M) is the same as 7m - m, so that is 6,
when you put it back together, you get 6m/16, simplify it to 3m/8
PLEASE HELP ME OUT!
Factor the expression completely.
18x2 - 32
O A. 2(3x + 2)(3x – 8)
B. 2(9x2 - 16)
O C. 2(3x - 4)(3x - 4)
O D. 2(3x + 4)(3x - 4)
Answer:
[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]
Step-by-step explanation:
[tex]A = 18x^{2} - 32\\[/tex]
Find the sharing components:
<=> [tex]A=2*9*x^{2} - 2*16[/tex]
Apply the inverse of associative property:
<=> [tex]A = 2(9x^{2} - 16)[/tex]
Identify two square components inside the parenthesis:
<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]
Factorize:
<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]
=> Option D is correct
Hope this helps!
:)
PLZ HLP MEEEEEEEEEEEEEEE the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?
Answer:
number of students who ate soup = 60
number of students who didn't ate soup
= 300-60
= 240
60/240 = 1/4
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right
Answer: A. SSS
Step-by-step explanation:
The two triangles are congruent through SSS which means Side-Side-Side. This is because each side of the triangle correlates between the two of them. They both have a 8, 6, and 3 side.
Answer:
SSS
Step-by-step explanation:
The given triangles have 3 equal sides: 3, 6 and 8
So the answer is SSS (side-side-side)
3. Shenker has 45 CDs.
He gives 10 CDs to his brother.
a) Write an equation you can solve to find how many CDs
Shenker has left.
b) Solve the equation.
Answer: The equation is 45-10=x the answer is 35
Step-by-step explanation: To make the equation you need to have and = sign so, we can do what he has (45) and subtract what he gives away (10) which would equal what he has left (x)
Answer:
45 (initial amount) - 10 (given to brother) = x (number of cd's left)
Equation:
45 - 10 = x
Answer:
35 CDs
Which of the following is equal to the ratio of the circumference of a circle to its diameter?
Answer:
Im pretty sure its the 1st one
Step-by-step explanation:
Answer:
option 3 π
Step-by-step explanation:
Circumference = πd
Circumference : diameter = πd : d
= π : 1 = π
Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan sent 4 times as many messages as Scott . How many messages did they each send?
Answer:
number of message sent by Scott is 23
number of message sent by Christine is 30
number of message sent by Milan is 92
Step-by-step explanation:
Total message sent by Christine,Milan, and Scott : 145
Let number of message sent by Scott be x .
Given that Christine sent 7 more messages than Scott
number of message sent by Christine is x+7
It is also given that Milan sent 4 times as many messages as Scott
number of message sent by Milan is 4*x = 4x.
Thus, sum of message sent by Christine,milan, and Scott in terms of x
= x + x + 7 + 4x = 6x + 7
we already know that Total message sent by Christine,milan, and Scott is 145
thus, 6x + 7 should be equal to 145
6x + 7 = 145
=>6x = 145 - 7 = 138
=> x = 138/6 = 23
Thus,
number of message sent by Scott is x = 23
number of message sent by Christine is x+7 = 23+7 = 30
number of message sent by Milan is 4x = 4*23 = 92
A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true? The length of the rectangle is k – 5 inches. The width of the rectangle is k + 4 inches. The length of the rectangle is k – 20 inches. The width of the rectangle is k + 10 inches.
Answer:
The width of the rectangle is k+4 inches
Step-by-step explanation:
you have [tex]k^{2}+19k+60[/tex] which can be factorized to (k+4)(k+15)
if the length of the rectangle is k-5 that would mean that we can write [tex]k^{2}+19k+60[/tex] as (k-5)n which we know is false, so the only one that applies is k+4
The true statement is:
"The width of the rectangle is k + 4"
Which statement is true?
Remember that for a rectangle of length L and width W, the area is given by:
A = L*W
So we want to factorize the area equation, which is a quadratic equation, into a product of two terms.
A = k^2 + 19k + 60
The two zeros are given by Bhaskara's formula:
[tex]k = \frac{-19 \pm \sqrt{19^2 - 4*1*60} }{2} \\\\k = \frac{-19 \pm 11 }{2}[/tex]
So we have two zeros, these are:
k = (-19 - 11)/2 = -15
k = (-19 +11)/2 = -4
So we can factorize the area as:
A = (k - (-15))*(k - (-4)) = (k + 15)*(k + 4).
From this, the only statement that can be true is:
"The width of the rectangle is k + 4"
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1480401
Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?
Answer:
Total time ≈ 100(nearest minutes)
Step-by-step explanation:
The rates at which each student writes names per minutes can be calculates as follows.
First student
6 minutes = 7 names
1 minute = 7/6 names
second student
10 minutes = 17 names
1 minute = 17/10 names
Third student
15 minutes = 23 names
1 minute = 23/15 names
Total time = 440/total rate
Total time = 440/1.17 + 1.7 + 1.53
Total time = 440/4.403
Total time = 99.931
Total time ≈ 100(nearest minutes)
