Answer:
C
Step-by-step explanation:
If you draw a card with a value of five or less from a standard deck of cards, I will pay you $7$ 7. If not, you pay me $7$ 7. (Aces are considered the highest card in the deck.) Step 2 of 2 : If you played this game 543543 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
[tex]Amount = -\$1461.9[/tex]
Step-by-step explanation:
We have the following:
[tex]Total = 52[/tex] --- cards in a standard deck
Represent cards with a value of 5 or less with x
So: [tex]x = \{2, 3, 4, 5\}[/tex] i.e 4 cards
However, each of these has a frequency of 4.
So: [tex]n(x) = 4\ cards* 4[/tex]
[tex]n(x) = 16[/tex]
The probability is:
[tex]p(x) = \frac{16}{52}[/tex]
The cost of this is:
[tex]C(x) = +\$7[/tex]
Represent cards with a value of above 5 with y
[tex]n(y) = 52 - 16[/tex]
[tex]n(y) = 36[/tex]
The probability is:
[tex]p(y) = \frac{36}{52}[/tex]
The cost of this is:
[tex]C(y) = -\$7[/tex] --- It is negative because you lost
In a game, your expected amount is:
[tex]E = n(x) * C(x) + n(y) * C(y)[/tex]
[tex]E = \frac{16}{52} * (+\$7) + \frac{36}{52} * (-\$7)[/tex]
[tex]E = \frac{16* \$7}{52} - \frac{36* \$7}{52}[/tex]
[tex]E = \frac{\$112}{52} - \frac{\$252}{52}[/tex]
[tex]E = \frac{\$112 - \$252}{52}[/tex]
[tex]E = -\frac{\$140}{52}[/tex]
When you play 543 times, the expected amount is:
[tex]Amount = E * 543[/tex]
[tex]Amount = -\frac{\$140}{52} *543[/tex]
[tex]Amount = -\frac{\$140 *543}{52}[/tex]
[tex]Amount = -\frac{\$76020}{52}[/tex]
[tex]Amount = -\$1461.9[/tex]
Mean of eight observations is 25. If one observation 11 is excluded , find the mean of the remaining.
Answer:
Mean = 27
Step-by-step explanation:
Given mean = 25
No of observations (N) = 8
We know,
Mean = Sum / N
25 = Sum / 8
Sum = 25 x 8
Sum = 200
Since an observation 11 is removed,
New sum = 200 - 11 = 189
New no. of observation (N) = 8 - 1 = 7
Now,
Mean of remaining observations = New Sum / New N
= 189/7
= 27
Answer:
mean=25
n=8
sum of observation=?
we have
mean=sum/n
sum=25×8=200
if one observation is excluded
sum will be =200-11=189
[n]no of observation = 8-1=7
new mean =new sum/new n=189/7=27
the mean of the remaining is 27
Find the measure of 61.
{
839
41
{ K
41 = [?]
Enter
Answer:
m<1 = 97°
Step-by-step explanation:
<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:
m<1 + 83° = 180°
Therefore:
m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)
m<1 = 97°
Answer:
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Find the area of the polygon.
Answer:
240
Step-by-step explanation:
Hello There!
Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram
The formula for area of a parallelogram is
[tex]A=bh[/tex]
where b = base and h = height
the given dimension are
height = 15
base = 16
so all we have to do is plug in the values into the formula
[tex]A=(15)16\\15*16=240\\A=240[/tex]
so we can conclude that the area of the polygon is
240 square units
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
What is 1/6 equal to as a fraction
Answer: 2/12
3/18
4/24
Step-by-step explanation:
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places
Answer:
The thing u pasted is glitched and isn't loading
Step-by-step explanation:
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
Learn more here:
Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...
https://brainly.in/question/10694066Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..
https://brainly.in/question/920470610 men can complete a job in 200 days. They started the work. After...
https://brainly.in/question/13973456I invested $1585 for 5 years and
earned $475.50 in interest. What was
the interest rate?
Answer:
6%
Step-by-step explanation:
Given data
Principal= $1585
Time = 5 years
Interest = $475.50
Rate =???
The expression for the interest is given as
SI=PRT/100
substitute
475.50=1585*R*5/100
Cross multiply
475.50*100= 7925R
47550=7925R
R= 47550/7925
R= 6%
Hence the rate is 6%
Help I need help with this algebra.
Answer:
B, D, F
Step-by-step explanation:
B, D, F
CAN SOMEONE HELP ME!!
Rich needs $50,000 for a down payment on a home in 5 years. How much must he deposit into an account that pays 6% interest, com pounded quarterly , in order to meet his goal ?
Answer
37 ,123.52
Explanation
the image above, hope it helps
Help me ill give brainless please
Answer:
p = $200
Step-by-step explanation:
90/p = 45/100
45p = 9000
p = 9000/45 = $200
choose the correct equation please
Answer:
y=3×+6
Step-by-step explanation:
bla bla bla bla bla bla bla hhhhhhhhhhhh
Whoever responds first will get marked Best! Please look at the picture!
Find the area of the figure shown below.
7 ft
15 ft
8 ft
19 ft
HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!! EMERGENCY
Answer:
Step-by-step explanation:
Think B cause if it was 3 in the bracket it be × by ⅓ so ⅓ does the opposite I think
What is the constant of proportionality of the equation y = -1/4x
-1/4 or -1/4x
---
hope it helps
sorry if it doesn't
Figure ABCD is a rhombus. Find the
value of x.
B
3x - 11
E
X +9
A
D
X = [?]
Help please
Answer:
Step-by-step explanation:
3x-11 = x+9
2x = 20
x = 10
Answer:
x=10
Step-by-step explanation:
please help me
( - 3 ) ( a + x ) , if a + 8, x = - 10
Answer:
6
Step-by-step explanation:
-3 x (8 + [-10]) =
-3 x (8 - 10) =
-3 x -2 =
6
HOpe that helps!
Answer: 6
Step-by-step explanation:
finding the answer from an equation
replace the values of x and a in the equation:
(-3) * ( 8 + -10)
= (-3) * (-2)
recall :
(-) * (-) = +
hence -3 * -2
= 6
Hope this helps. Can u pls give me brainliest
A plane flying horizontally at an altitude of 1 mile and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
The rate increases at 398mi/h
Step-by-step explanation:
Given
[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance
The given parameters is represented with the attached figure
Using Pythagoras theorem [take the attached image as a point of reference]
[tex]y^2 = x^2 + 1^2[/tex]
[tex]y^2 = x^2 + 1[/tex]
Differentiate with respect to time (t):
[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]
Divide both sides by 2
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)
When y = 2:
[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem
[tex]2^2 = x^2 + 1[/tex]
[tex]4 = x^2 + 1[/tex]
Collect like terms
[tex]x^2 = 4 -1[/tex]
[tex]x^2 = 3[/tex]
Solve for x
[tex]x = \sqrt 3[/tex]
So:
[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]
Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]
[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]
[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]
Divide by 2
[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]
[tex]\frac{dy}{dt} = 230*1.7321[/tex]
[tex]\frac{dy}{dt} = 398.383[/tex]
[tex]\frac{dy}{dt} \approx 398[/tex]
Find the measure of t given that p
Answer:
m∠t = 143°
m∠x = m∠t
i'm just ordinary human, CMIIW
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Simplify the expression 2(10)+2(x-2)
Answer:
16 + 2x
Step-by-step explanation:
a solution set always include....
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.
(WORTH 25 POINTS and il give brainliest to the first person to answer) Miguel is building a doghouse he cuts one sheet of wood to make the front wall he also cuts out a door that is 2 ft by 2 ft the dimensions in feet are shown in the diagram. miguel needs to paint the wood. what is the area he needs to paint? 1. what is the area of the rectangular price of wood before the square is cut out? include units with your answer.
Answer:
umm 4 ft
Step-by-step explanation:
Answer:
12 ft sq.
Step-by-step explanation:
Sandra is creating a new passcode for her phone. Her passcode will be 5 digits and she can choose any number between 0-9, with no repetition allowed. How many possible options passcode does she have?
a. 10X10X10X10X10
b.9X8X7X6X5
c.5X4X3X2X1
d.10X9X8X7X6
Answer:
B and C
Step-by-step explanation:
but i'm not sure
Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.
What is the student's median unit test score?
Enter your answer in the box.
Answer: 92.4
Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be
98+97+83+94+90= 462 Then you divide that by 5 and get 92.4
Hope this helps ^^
PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!
Answer:
197 in²
Step-by-step explanation:
TOP 5x5=25
BOTTOM 9x5=45
BACK 5x5=25
SLOPED FRONT 6.4x5=32
TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70
25+45+25+32+70=197
the measures of the angles of a triangle are shown in the figure below. solve for x
Answer:
the the figure shown x=7
Answer:
7°
Step-by-step explanation:
7x + 5 °+ 36° + 90 °= 180° ( being sum of angles of triangle )
7x + 131° = 180°
7x = 180 °- 131 °
7x = 49°
x = 49° / 7
x = 7°
Identify the constant of proportionality from the graph.
A. 3
B. 9
C. 1/3
D. 6
What is the value of x in this equation: 4x+5=3x+4