Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
[tex]Event\ 1 = \{1,2,3,4,5,6\}[/tex]
Next, we list out the sample space of F
[tex]Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\[/tex]
[tex]6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]
In (1): the sample space of E is:
[tex]E = \{1\}[/tex]
So:
[tex]P(E) = \frac{n(E)}{n(Event\ 1)}[/tex]
[tex]P(E) = \frac{1}{6}[/tex]
In (2): the sample space of F is:
[tex]F = \{5,5,5,5\}[/tex]
So:
[tex]P(F) = \frac{n(F)}{n(Event\ 2)}[/tex]
[tex]P(F) =\frac{4}{36}[/tex]
[tex]P(F) =\frac{1}{9}[/tex]
For E and F to be independent:
[tex]P(E\ and\ F) = P(E) * P(F)[/tex]
Substitute values for P(E) and P(F)
This gives:
[tex]P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}[/tex]
[tex]P(E\ and\ F) = \frac{1}{54}[/tex]
However, the actual value of P(E and F) is 0.
This is so because [tex]E = \{1\}[/tex] and [tex]F = \{5,5,5,5\}[/tex] have 0 common elements:
So:
[tex]P(E\ and\ F) = 0[/tex]
Compare [tex]P(E\ and\ F) = \frac{1}{54}[/tex] and [tex]P(E\ and\ F) = 0[/tex].
These values are not equal.
Hence: the two events are not independent
Steve can clean 9 cars in 3 3/4 hours how many cars per hour?
Answer:
2.4
Step-by-step explanation:
does any one know the correct answer that is good in math
PLEASE HELP I WILL MARK BRAINLY IF THE ANSWER IS CORRECT
Answer:
I think it is B.
Step-by-step explanation:
Hope this helps.
Which fraction is represented by point A on the number line?
20 points please help me! If your just gunna say points then nobody even bother actually answering my question.
Answer:
It would be 1
Step-by-step explanation:
because after the number 0 would restart to back to 1
I just need a little help
Bryan bought a DVD player that was marked down from $225 to $117. What is the percent decrease?
ANSWER:
56%
EXPLANATION:
well if you use a proportion it all should solve it self you feel me... Anyways hoped this helped
Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.
Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.
a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.
The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):
First company (smallest random number) ____
Second company (2nd smallest random number) ____
Third company (3rd smallest random number) _____
Fourth company (4th smallest random number) _____
Fifth company (5th smallest random number)______
0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854
In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.
Answer:
m<GHI = 17°
Step-by-step explanation:
m<GHI = (2x - 3)°
m<IGH = (2x + 15)°
m<HIJ = (7x - 18)°
<HIJ is an exterior angle of ∆GHI
<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:
m<GHI + m<IGH = m<HIJ
(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)
Solve for x
2x - 3 + 2x + 15 = 7x - 18
Add like terms
4x + 12 = 7x - 18
4x - 7x = -12 - 18
-3x = -30
Divide both sides by -3
x = 10
✔️m<GHI = (2x - 3)°
Plug in the value of x
m<GHI = 2(10) - 3 = 20 - 3
m<GHI = 17°
PLEASE HELP!
Find values for p and q so that the equation has infinitely many solutions.
-7x + p = qx + 1
p =
q =
Step-by-step explanation:
a1/a2=b1/b2=c1/c2
-7=p=qx+1
p= -7 ,qx+1= -7
p= -7 ,q= -6/x
I don’t get this Need help asap
Answer:
Step-by-step explanation:
x - 2y =8
-2y = -x + 8
[tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]
When x = 4,
[tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]
(4, - 2)
When x = -4,
[tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]
(-4, -6)
Plot the points (4, -2) and (-4 , -6) in the graph and Join the points
In 2017 the SAT had a mean score of 1060 with standard deviation of 195 (max score of 1600) while the ACT had a mean of 20.9 with standard deviation of 5.6 (max composite score of 36). Reed and Maria apply to the same college. Maria took the SAT and received a score of 1270 while Reed took the ACT and received a score of 27. Which student performed better in relationship to their peers
Answer:
Due to the higher z-score, Reed performed better in relationship to their peers
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Whoever had the higher z-score performed better in relation to their peers.
Maria:
Took the SAT, grade 1270, so [tex]X = 1270[/tex]
Mean score of 1060 with standard deviation of 195 (max score of 1600). This means that [tex]\mu = 1060, \sigma = 295[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1270 - 1060}{295}[/tex]
[tex]Z = 0.71[/tex]
Reed:
Took the ACT, score of 27, so [tex]X = 27[/tex]
Mean of 20.9 with standard deviation of 5.6, which means that [tex]\mu = 20.9, \sigma = 5.6[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
Due to the higher z-score, Reed performed better in relationship to their peers
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil is 11 1/4 square inches. Its length is 4 1/2 inches. What is the width of the foil?
Answer: the answer is 2.5
Step-by-step explanation:
Answer:
w= 5/2 inches or 2 1/2 inches
Step-by-step explanation:
area = length × width (w)
45/4 = 9/2 × w
45/4 =9w/2
45×2 = 9w×4
90 = 9w×4
9w= 90/4= 45/2
w= 45/2 × 1/9
w= 5/2 inches or 2 1/2 inches
A football is originally priced at $15. In this state, the sales tax rate is 7%. What was the total price of the football?
Answer:
107%=16.06
Step-by-step explanation:
im pretty sure that's it, if its not please correct me.
Answer what you can. You don’t have to show your work but please do.
Answer:
I'll help with the first 2
( 12/4x7-18=
12/4=3
3x4=12
12-18= -6 )
( 8[tex]{2}[/tex] - 22/2x7=
8x2=16
22/2=11
11x7=77
16-77= -61 )
Step-by-step explanation:
PEMDAS
P-( ) Parenthesis
E- Ex[tex]x^{2}[/tex] (Exsample-2[tex]{2}[/tex] = 2x2=4 )
M=Multiplication X
D-Division
A-Add +
S-Subtraction
Find the slope of the graphed line below. Help please!
Answer:
3,4
Step-by-step explanation:
up 3 and right 4. your welcome
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Answer:
1.428571428571429
Step-by-step explanation:
Answer:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Step-by-step explanation:
n-10 +9n -3= ggggggggggggggggggggggggggggggggggg
Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 of an hour. How
many square feet could the robot vacuum clean in 1 hour?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
square feet
Submit
X X Practice in the app
Wariant
Answer:
300
Step-by-step explanation:
A circle has a radius of 3.6 calculate the area of circle use 3.14 round your answer th the nearest hundredth of a square meter
Answer:
40.72units^2
Step-by-step explanation:
Given data
Radius= 3.6 units
The area is given as
A=πr^2
substitute
A=3.142*3.6^2
A=3.142*12.96
A=40.72units^2
Hence the area is 40.72units^2
Please help me with this!!
I will give brainliest points!
Answer:
not sure if i am solving for x but x=1/3
Step-by-step explanation:
5th grade math. Correct answer will be marked brainliest.
Answer:
part a is 3500
Step-by-step explanation:
plz help yall I´m really bad at this
Answer:
should be -15
Step-by-step explanation:
value of b in the quadratic equation 3x/4=1/x
I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?
Answer:
sorry... i think i have never seen a problem like this..3
Answer:
y = -½x - 8
Step-by-step explanation:
You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.
Then use the slope and one of the points to write an equation in point-slope form.
pls help this is due today whoever anders the most questions gets brainliest
Answer:
4. percent...........
What place is the digit 3 in the number 6,257.839
Answer:
tenths
Step-by-step explanation:
. Of the 200 students surveyed in 5th grade, 120 prefer bananas and 80 prefer apples. what is the part to whole ratio?
Figue out the measures
Answer:
Angle 1 is 134 and Angle 2 is 46
Evaluate using the given values.
a=1 b=2 c=3 x= -3 y= -2 z= -1
1.)2a+b/2 -c/b
2.)4x+3y
3.)5ab
4.)7y+2b
5.)7+a
6.)2b/4y
7.)3c-5z^2
8.)xyz
9.)ab/y^2
10.)6/abc
Answers:
1)1 1/2
2)-18
3)10
4)-10
5)8
6)-1/2
7) 34
8)-6
9)-1/2
10) 1
quickly please im very confused
Answer:
A: -16/3
B: 16/3
C: -6
D: -6
E: 6
Step-by-step explanation:
A would be -16/3 because you multiply -2 time 8 which is 116. And the denominator is 3.
B would be 16/3. It is the same as problem A but there are two negatives which make positive.
C is -6. You just divide -18/3.
D is the exact same as C. It just has parenthesis but the answer is still -6.
E is 6 because there are two negatives which make a positive.
The tables show the amount earned by James and Paco working at the same store.
James's Hours Amount Earned
3 $35.40
5 $59.00
8 $94.40
Paco's Hours Amount Earned
2 $24.00
4 $48.00
7 $84.00
What are the two equations that can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?
Compare the equations to determine if there is any difference between what James and Paco make each hour.
its pacos hour because as you can see he makes more i just know trust me its pacos