Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
1 divided by what equals 2.2?
Answer:
The answer is 2.2
Step-by-step explanation:
To find the missing number, you need to use the opposite operation to find the value of n:
Original equation: 1 / n = 2.2
New equation: 1 * 2.2 = 2.2
Which of the following is a solution to the equation: y = 7x + -59? Choose all that apply.
Select all that apply:
O (8,-3)
O (9,8)
O (7,-3)
0 (10,5)
Answer:
[tex](a)\ (8,-3)[/tex]
Step-by-step explanation:
Given
[tex]y =7x +-59[/tex]
Required
Select all solutions
[tex](a)\ (8,-3)[/tex]
This implies that:
[tex]x = 8; y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 =7 * 8 + -59[/tex]
[tex]-3 =7 * 8 -59[/tex]
[tex]-3 =56 -59[/tex]
[tex]-3 =-3[/tex]
The above is a solution:
[tex](b)\ (9,8)[/tex]
This implies that:
[tex]x=9\ y =8[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]8 =7 * 9 + -59[/tex]
[tex]8 =7 * 9 -59[/tex]
[tex]8 =63 -59[/tex]
[tex]8 =4[/tex]
The above is not a solution because [tex]8 \ne 4[/tex]
[tex](c)\ (7,-3)[/tex]
This implies that:
[tex]x=7;\ y=-3[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]-3 = 7 * 7 +-59[/tex]
[tex]-3 = 7 * 7 -59[/tex]
[tex]-3 = 49 -59[/tex]
[tex]-3 = -10[/tex]
The above is not a solution because [tex]-3\ne -10[/tex]
[tex](d)\ (10,5)[/tex]
This implies that:
[tex]x =10; y=5[/tex]
So:
[tex]y =7x +-59[/tex]
[tex]5 = 7 * 10 + -59[/tex]
[tex]5 = 7 * 10 -59[/tex]
[tex]5 = 70 -59[/tex]
[tex]5 = 11[/tex]
The above is not a solution because [tex]5 \ne 11[/tex]
You are playing blackjack and want to know the probability of getting dealt certain cards. In blackjack two cards are drawn from a deck, the first is dealt to you face down and the second is dealt face up. Using the product rule, find the probability that (a) The bottom card is an ace or a king and the top card is red. (b) Both of the cards are clubs. (c) At least one of the cards is a jack.
Answer:
The correct answer is:
(a) 0.0784
(b) 0.0588
(c) 0.1493
Step-by-step explanation:
According to the question,
Number or ace or king,
n (ace or king) = 8
Number of red,
n (red) = 26
Number of club,
n (club) = 13
Number or jack,
n (jack) = 4
(a)
Probability of 1st ace or king and 2nd in red will be:
⇒ [tex]P(ist \ ace \ or \ king \ and \ 2nd \ red) = \frac{8}{52}\times\frac{26}{51}[/tex]
⇒ [tex]=0.0784[/tex]
(b)
Probability of both clubs will be:
⇒ [tex]P(clubs) =\frac{13C_2}{52C_2}[/tex]
⇒ [tex]=0.0588[/tex]
(c)
Probability of at least one is jack will be:
⇒ [tex]P(at \ least \ one \ is \ jack)=1-P(none \ jack)[/tex]
⇒ [tex]=1-\frac{48C_2}{52C_2}[/tex]
⇒ [tex]=0.1493[/tex]
Solve the following quadratic equation for all values of x in simplest form (x+4)²+38=47
Answer:
- 1
Step-by-step explanation:
( x + 4 )² + 38 = 47
( x + 4 )² = 47 - 38
( x + 4 )² = 9
( x + 4 )² = 3²
Square root on both sides,
x + 4 = 3
x = 3 - 4
x = - 1
Will give brainliest for correct answer
Answer:
e
Step-by-step explanation:
ddd
Answer:
Something I realize immediately is that there should be some sort of a function table in the picture, which you didn't include, so I can't answer the question as I am not able to compare the table to the question. If you could insert the full question, I would be more than happy to help you.
Step-by-step explanation:
Pls answer i will give brainliest pls
Answer:
B
Step-by-step explanation:
In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis
so in this cas the line intercept the y axis in the point (0,2)
so the answer is B
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination. b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without
Answer:
a. A researcher wants to compare the hand–eye coordination of men and women. She finds a random sample of 100 men and 100 women, and measures their hand–eye coordination = paired samples
b. A researcher wants to know whether professors with tenure have fewer office hours than professors without tenure. She observes the number of office hours for professors with and without tenure. = independent samples
Explanation:
Paired-samples t tests compare scores on two different variables but for the same group of cases; independent-samples t tests compare scores on the same variable but for two different groups of cases.
Find the standard deviation. Round to the nearest tenth.
8, 17, 13, 8, 9, 13, 14, 5,5
A. 4.0
B. 1.3
C. 4.5
D. 4.2
Answer:
c
Step-by-step explanation:
Is is right?
what is the the measure of a 105° angle in radians
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
Solve the system: 35x=3y+5 49x=4y+9
PLEASE HELP NEED ASAP
Answer:
x = 1
y =10
Step-by-step explanation:
Please help I have to turn it in at 11:30
Answer/Step-by-step explanation:
3. Volume = l*w*h = 1*3*1 = 3 ft³
Surface area = 2(lw + wh + lh) = 2(1*3 + 3*1 + 1*1) = 14 ft²
4. V = 216 cm³
w = 6 cm
l = 12 cm
h = ?
V = l*w*h
Plug in the given values and find h
216 = 12*6*h
216 = 72*h
216/72 = h
h = 3
Surface area = 2(lw + wh + lh)
= 2(12*6 + 6*3 + 12*3) = 252 cm²
5. V = 120 m³
h = 4 m
l = 5 m
w = ?
V = lwh
Plug in the given values
120 = 5*w*4
120 = 20*w
120/20 = w
w = 6 m
Surface area = 2(lw + wh + lh)
= 2(5*6 + 6*4 + 5*4)
= 148 m²
6. V = 726 in³
h = 11 in
w = 33 in.
l = ?
V = lwh
Plug in the values
726 = l*33*11
726 = l*363
726/363 = l
l = 2 in
Surface area = 2(lw + wh + lh)
= 2(2*33 + 33*11 + 2*11)
= 902 in²
The radius of a circle is 1 meter. What is the circle's area?
Hey answer equation please thanks
Answer:
30 y
Step-by-step explanation:
We need to multiply 5 by 4y and 5 by 2 y
20y + 10y = 30y
Answer:
30 y
Step-by-step explanation:
You are supposed to distribute(multiply) the 5 with 4y+2y inside the parentheses. Just multiply the 4y by 5 to get 20y and then 2 y with 5 to get 10 y. Your answer should be come out to be 20y + 10y. Since they both use the same variable (y), add them together to get 30y
if ABCD is a rectangle find angle ABD
Answer:
61 degrees
Step-by-step explanation:
First, find x. CBD=BDA
x+18=4x-15
x=11
Four interior angles of a rectangle are all 90 degrees. So to find ABD, subtract CBD from 90 degrees. So 90-29=61 degrees.
Pleasee help ASAP! I appreciate anything, will give brainliest and try to help solve your questions if necessary.
Answer:
it 3
Step-by-step explanation:
b. 1/2 of 4/5 = ____ fifth(s)
Answer:
2 because of the way the question is written
2/5 if you get 2 wrong.
Step-by-step explanation:
1/2 * 4/5 of means multiply
numerator: 1*4 = 4
denominator = 2 * 5 = 10
Answer: 4 / 10 but this will reduce. Divide Top and Bottom by 2
4/2 = 2
10/2 = 5
Answer: 2/5
The way you should answer is 2 because the question gives you the fact that it is in 5ths. If you get it wrong then put in 2/5.
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express.coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(-1,5) (5,5)
Answer:
(2,5)
Step-by-step explanation:
(Xm, Ym)= ( (x1+x2)/2, (y1+y2)/2 )
= (5 + (-1))/ 2, (5+5)/2
= (4)/2, (10)/2
= 2, 5
what is the median of the set of numbers?
Answer:
C. 11
Step-by-step explanation:
A cook places two thirds of a pound of garlic powder in a plastic container. This occupies one third of the space in the container. How much pounds of a powder can be stored in this container?
Answer:
1
Step-by-step explanation:
Add e
Number of pounds of a powder that can be stored in the container is 2 pounds.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Given that,
Number of pounds of garlic powder placed in container = 2/3 pound
This is equal to one third of the total space in the container.
So, we can write this as,
Number of pounds of powder in 1/3 space = 2/3 pounds
Number of pounds of powder in 1 full space = 2/3 ÷ 1/3
= 2/3 × 3 (by reciprocal rule)
= 2 pounds
Hence 2 pounds can be stored in the full container.
To learn more about Fractions, click on the link :
https://brainly.com/question/8482939
#SPJ3
FOR 50 POINTS
Halp this is worth a lot of my grade
How many dogs were bought in 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, and 2020.
im a breadstick grrrr
Answer:
ok if u say so
Step-by-step explanation:
solve for t. 19 = 1/2 gt^2. ( Look at the picture for answer choices. Please Hurry and will give Brainliest.
Answer:
t=[tex]\sqrt{\frac{38}{g} }[/tex]
Step-by-step explanation:
19=(1/2)gt²
(multiply both sides by 2)
38=gt²
(divide both sides by g)
t²=(38/g)
(square root both sides)
t=[tex]\sqrt{\frac{38}{g} }[/tex]
How many miles did Byron drive? Please do not guess!
=======================================================
Explanation:
The distance from his house to the gas station is 5 miles. We can find this by counting out the number of spaces between the two points (since the chart indicates that 1 unit = 1 mile). Or we can subtract the x coordinates to get 8-3 = 5. This only works because the y coordinates of each point are the same value.
To find the distance from the gas station to the market, we subtract the y coordinates this time. This only works due to the x coordinates being the same. We get a distance of 8-3 = 5 miles.
Overall, the total distance Byron drives is 5+5 = 10 miles.
Solve the following inequality for X.
-26 + 13x + 2 > 2 – 13x
Answer:
x > 1
Step-by-step explanation:
-26 + 13x + 2 > 2 - 13x -------Given
13x - 24 > 2 - 13x -------------Add like terms
26x - 24 > 2 -------------------Add 13x on both sides
26x > 26 ------------Add 24 on both sides
x > 1 (Divide 26 on both sides)
Have a great day!
Which expression is not equivalent to
4^7/4^10
Answer:
4³
Step-by-step explanation:
{(2)²}⁷/{(2)²}¹⁰
2¹⁴/ 2²⁰
Using property...
2¹⁴-²⁰= 2-⁶
Hence....
(-2)×(-2)×(-2)×(-2)×(-2)×(-2)= 64
So...
64=4³
hope it helps
Which expression is equivalent to 2(4 + x + 6y) + 3(5 + 3x + y)
Answer:11x + 15y + 23
Step-by-step explanation:
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
Answer:
3:7 or 3/7
Step-by-step explanation:
if it helps don't forget to like and mark me
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Which is the graph of y= 2 8x - 3?
Graph B.
Graph C
Graph A
Please help!
Answer:
Graph C
Step-by-step explanation:
We can tell because the equation states that the y intercept is -3 and has a steep slope