Using probabilities, it is found that the expected profit of one round of this game is of $0.
A probability is the number of desired outcomes divided by the number of total outcomes.
One of the two sides of the coin are heads.2 of the 6 sides of the dice are 3 or 6.Hence, since the coin and the dice are independent, the probability of winning is:
[tex]p = \frac{1}{2} \times \frac{2}{6} = \frac{1}{6}[/tex]
The expected value is the sum of each outcome multiplied by its respective probability.
In this problem:
[tex]\frac{1}{6}[/tex] probability of earning $30.[tex]\frac{5}{6}[/tex] probability of losing $6.Then:
[tex]E(X) = 30\frac{1}{6} - 6\frac{5}{6} = 5 - 5 = 0[/tex]
The expected profit of one round of this game is of $0.
A similar problem is given at https://brainly.com/question/24855677
6) Last month, Yaws checking account
had a balance of Ghc347.20. Since then,
Yaws deposited his paycheck of
Ghc563.89 and withdrew Ghc478.53.
What is Kofi's checking account balance
now?
9514 1404 393
Answer:
Ghc432.56
Step-by-step explanation:
Deposits add to the balance; withdrawals subtract from the balance.
new balance = old balance + deposits - withdrawals
new balance = 347.20 +563.89 -478.53 = 432.56
Kofi's balance is now Ghc432.56.
5.prove for kite abcd above that BD bisects both ABC and ADC
6.Given from what we now know from 5, prove that M must be the midpoint of AC
The kite is a quadrilateral that has two pairs of equal adjacent sides and
one of equal opposite angles.
5. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex] [tex]{}[/tex] Given
[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex] [tex]{}[/tex] By reflexive property
ΔABD ≅ ΔBDC [tex]{}[/tex] By Side-Side-Side, SSS congruency postulate
∠ABC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
[tex]\overline{BD}[/tex] is a bisector of ∠ABC [tex]{}[/tex] Definition of angle bisector
∠ADC = ∠ABD + ∠CBD [tex]{}[/tex] Angle addition postulate
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC
∠ABD = ∠CBD [tex]{}[/tex] Definition of congruency
Therefore;
[tex]\overline{BD}[/tex] is a bisector of ∠ADC [tex]{}[/tex] Definition of angle bisector
CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent
6. The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠ABD ≅ ∠CBD [tex]{}[/tex] CPCTC (question 5)
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] [tex]{}[/tex] Given
[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex] [tex]{}[/tex] Reflexive property
ΔABM ≅ ΔCBM [tex]{}[/tex] According to Side-Angle-Side, SAS congruency rule
[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] [tex]{}[/tex] CPCTC
[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex] [tex]{}[/tex] Definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex] [tex]{}[/tex] Segment addition postulate
[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] = 2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality
[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex] [tex]{}[/tex] Division property of equality
M divides [tex]\overline{AC}[/tex] to two [tex]{}[/tex] Definition
M is midpoint of [tex]\overline{AC}[/tex] [tex]{}[/tex] Definition of midpoint
Learn more here:
https://brainly.com/question/20644467
pls help me I will try to give brainleist bc i don't know how
Answer:
2195
Step-by-step explanation:
filler filler filler lol
Answer: 2,195
Step-by-step explanation:
439x5
9x5=45
3x5+4=19
4x5+1=21
2195
HI.PLS HELP HAVE AN EXAM TOMORROW.
Answer:
A
Step-by-step explanation:
In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same
Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model f ( t ) = 92 − 4 log 10 ( t + 1 ) , 0 ≤ t ≤ 24 where t is the time in months.
Using the logarithmic function, it is found that:
a) The initial score is of 92.
b) After 6 months, the score is of 88.6.
c) After 18 months, the score is of 86.9.
The average score after t months is modeled by:
[tex]f(t) = 92 - 4\log{(t + 1)}[/tex]
Item a:
The initial score is of f(0), hence:
[tex]f(0) = 92 - 4\log{1} = 92 - 0 = 92[/tex]
The initial score is of 92.
Item b:
After 6 months, the score is of f(6), hence:
[tex]f(6) = 92 - 4\log{7} = 88.6[/tex]
After 6 months, the score is of 88.6.
Item c:
After 18 months, the score is of f(18), hence:
[tex]f(6) = 92 - 4\log{19} = 86.9[/tex]
After 18 months, the score is of 86.9.
A similar problem is given at https://brainly.com/question/24286043
what is the distance between the coordinates (9, -2) and (9, 8) show your work on a coordinate grid pleas help mee
Answer:
10
Formular for finding distance between two points; (x2-x1)² + (y2-y1)² (all square root)
X1=9
X2=9
Y1=-2
Y2=8
Distance= (9-9)²+(-2-8)² (all square root)
=(0)²+(-10)² (all square root)
=0 + 100 (square root)
=100 square root
=10
Find the difference between 11/5 and 5/2 on a number line
9514 1404 393
Answer:
-3/10
Step-by-step explanation:
11/5 plots on a number line at 2.2
5/2 plots on a number line at 2.5
The distance between these points is 2.5 -2.2 = 0.3.
__
If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.
Select the reason why these triangles are
similar. If they are not, select "Not similar.
14
9
24
16
6
21
Answer:
SSS
Step-by-step explanation:
The triangles are similar according to SSS rule (side lengths)
You can check it by writing the following equation:
6/9 = 16/24 simplify both sides
2/3 = 2/3
solve the inequality x-3 < 3x -7
Answer:
x > 2 or 2 < x
Step-by-step explanation:
x-3 < 3x-7
-3 < 2x-7
4 < 2x
2 < x
x > 2
please help me i’ll give brainlist and points
Answer:
Area solution
Step-by-step explanation:
A=(16+10)×12/2= 156 m^2
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
Learn more : https://brainly.com/question/25630111
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee answer
Answer:
no its not a function
Step-by-step explanation:
i hope i help ;)
What are the odds of not rolling a three on a standard six-sided die?
Answer:
5/6
Step-by-step explanation:
Hope this is helpful
Answer:
5/6
Step-by-step explanation:
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
There are ??
feet in 7.9248 meters.
A research question is a declarative statement which can be tested to determine the probability of it being true or false.
Answer:
Step-by-step explanation:
Yes the answer is true.
A declarative statement is one that
makes a statementprovides a factoffers an explanationconveys informationThat being said, it can make a statement that is testable. It is testable, it can be assigned a probability.
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
Step-by-step explanation:
B 160 milliliters
How much longer is dinner than the slide show?
Slide Show: 4:15 P.M. to 5:10 P.M.
Dinner: 5:30 P.M. to 7:00 P.M.
Answer:
35
Step-by-step explanation:
If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?
Answer:
3 gallons
Step-by-step explanation:
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
what is the measure of line CD. explain
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
What is 23=5-2/3m ??????
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
my friend asked me for help and i forgot how to do this.
Answer:
Wings-3
Dollars-10
try this
geomtry plz help 15 points
Answer:
[tex]DE=5x-12[/tex]
Step-by-step explanation:
From this we can see this is an equilateral triangle
So, both sides to make every angle equal have to be the same
That's why [tex]DE=5x-12[/tex]
Brainliest please
Answer:
DE = 5x-12 (base angles of isos triangle)
4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?
Answer:
25%
Step-by-step explanation:
Like and give 5 star rating
Mark brainllest please
The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
At Albemarle High School, 5/9 of the students are in band and 57% of the students are in chorus. Are more AHS students in band or chorus?
Let find percentage of 5/9
[tex]\\ \sf\longmapsto 5/9(100)[/tex]
[tex]\\ \sf\longmapsto 500/9[/tex]
[tex]\\ \sf\longmapsto 55.5\%[/tex]
More students are in chorus
Given
Percentage of students in Chorus.
Fraction of students in band
To find
Which has more students.
Let's start.
We need to find the Percentage of students in band.
[tex]\sf \longmapsto \: \dfrac{5}{9} \times 100[/tex]
[tex]\sf \longmapsto \: \dfrac{5}{9} \times \dfrac{100}{1} [/tex]
[tex]\sf \longmapsto \: \dfrac{5 \times 100}{9 \times 1} [/tex]
[tex]\sf \longmapsto \: \dfrac{500}{9} [/tex]
In Percentage:-
[tex]\sf \longmapsto \: \cancel \dfrac{500}{9} [/tex]
[tex]\sf \longmapsto \: 55.55\%[/tex]
[tex]\sf{55.55\% (Band)}<\sf{57\%(Chorus)}[/tex]
Chorus has more studentsIn how many ways can a student answer the questions on the test if the student can leave answers blank
need help asap please !!
Answer:
g(3) = 13
Step-by-step explanation:
The function g(3) means you replace every x value in the g(x) equation with 3:
[tex]g(x) = x^2 + 4\\g(3) = 3^2 + 4\\g(3) = 9 + 4\\g(3) = 13[/tex]
Hope this helps!
Answer:
13
Step-by-step explanation:
putting the 3 there just means to replace all x's with 3. If you do that you get g(3) = 3^2 + 4 and if you solve that its 13