Answer:
The expected value of the proposition is -$12.74.
Step-by-step explanation:
Expected value:
It is the multiplication of each outcome by it's probability.
For each free throw, there are only two possible outcomes. Either the player makes, or he does not. Each free throw is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose a basketball player has made 184 out of 329 free throws.
This means that [tex]p = \frac{184}{329} = 0.5593[/tex]
2 free throws:
This means that [tex]n = 2[/tex]
Probability of making two free throws.
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.5593)^{2}.(0.4407)^{0} = 0.3128[/tex]
Expected value:
If he makes both free throws, you earn $12. So 0.3128 probability of you earning $12.
Otherwise, you have to pay $24. 1 - 0.3128 = 0.6872 probability of you losing $24.
So
E = 0.3128*12 - 0.6872*24 = -12.74
The expected value of the proposition is -$12.74.
Answer:
-.74
Step-by-step explanation:
I just did the homework and this is the correct answer
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (
Answer:
t = 3 seconds
Step-by-step explanation:
16t^2=144
Simplify by dividing both sides by 16:
t^2=9
t=3
Hope this helped!
35 games a different team has 50pts 14 games were draws how many games was lost
Answer:
9 losts
The team had 14 draws which is 14points. So you will substrate 14points from the total 50point, which will left with 36point.
The 36point constitutes 12 wins
Therefore 12wins + 14draws = 26 matches.
You then substrate 26 matches from the 35total matches to get your lose matches.
: 35 - 26 = 9
Therefore, there was 9 lost matches
Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 6 x − y = 2
Answer:
(4,2). DEPENDENT
Step-by-step explanation:
As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:
[tex]y = 6 - x[/tex] (red line) and [tex]y = x - 2[/tex] (blue line)
By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.
The adjustment of the thickness of the lens to make close vision possible is ca
Answer: Accommodation
Step-by-step explanation:
Accommodation is the adjustment of the optics of the eye to keep an object in focus on the retina as its distance from the eye varies.
The circle above has an area of 144 pi cm^2. What is the area of the blue sector? Use 3.14 for pi . A. 150.72 cm2 B. 25.12 cm2 C. 48 cm2 D. 113.04 cm2
Answer:
A. 150.72 cm2
Step-by-step explanation:
blue sector is 120 deg which is 1/3 of circle
so its area:
1/3*144 pi= 48 pi cm^2= 48*3.14 cm^2= 150.72 cm^2Brainliest for anyone who gets this correct , Which of the graphs below would result if you made the leading term of the following function negative?
Answer:
i think its D. i might be wrong sorry.
Step-by-step explanation:
Answer:D
Step-by-step explanation:
ones that go down are negative, and this is a cubic function
Exactly one of the numbers 2,3 5 and 7 is placed in each of the 4 empty regions formed by circles A, B and C so that the sum of the numbers in each circle is the same. Each number is used. What is the sum of the numbers in each circle? *
Answer:
The sum of the numbers in each circle is 17
Step-by-step explanation:
The numbers to choose from are:
2, 3, 5, 7
By this alone the biggest number must be in the overlap of the three circles.
Then just fill in the numbers in such a way that they all are used.
The sum of the numbers in each circle is 17.
See picture for a solution.
"Rebecca walks 100 feet in a straight line. She then turns 20 degrees to her left and walks another 100 feet, and then turns 20 degrees to her left again. She continues this pattern until she reaches the point where she started. How far did she walk
Answer:
1,800 ft
Step-by-step explanation:
Rebecca will walk in the pattern of a regular polygon with 'n' sides and internal angles of 160 degrees (180 at a straight line - 20 degrees from each turn).
The equation that describes the internal angle of a regular polygon is:
[tex]A = \frac{(n-2)*180}{n}[/tex]
For A = 160 degrees:
[tex]160n=(n-2)*180\\(180-160)n=360\\n=18\ sides[/tex]
If each side is 100 ft long, the total distance that Rebecca has walked is:
[tex]d = 18*100\\d=1,800\ ft[/tex]
She walked 1,800 ft.
What is the product
46 times 10 (the ten has a exponent number) and the exponent number is 2
Answer:
The answer is 4600. 10 with the exponent of 2 is 100, so 100 times 46 is 4600. Hope this helps;)
Step-by-step explanation:
A study conducted to assist the impact of caffeine consumption, smoking, alchohol consumption, and physical activity on cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If 8 participants are evaluated what is the probability that: A. Exactly half of them consume caffene and they smoke?
Answer:
8.4
Step-by-step explanation:
Molly, Nathan, and Sam own a
bookstore. They agree to share
the profit equally. If the profit is
$8,822, which is the best estimate
of each owner's share?
A $2,000
B $3,000
C $4,000
D $5.000
PLEASE HELP QUICKLY ! THANK YOU
At least 2,000
Step-by-step explanation:
I divided 8,822 by 3 and got 2940.66666....
If you basically round that, you get to 2,000
You could get 3,000 but they need to share their profit equally
(hopefully this helped :P)
Puerto Rico is a spanish speaking territory of the United States functioning as a self governing _____.
A.commonwealth
B. Settlement
C.state
D. Colony
Answer:
It is a colony. hope i helped :)
Step-by-step explanation:
How many fluid ounces are there in 3 pints and 12 fluid ounces?
Answer:
60 fluid ounces
Mark my as brainliest please
The length of a rectangle is 8 less than the width. The perimenter is 44 meters. Find the dimension of the rectangle
Answer:
Length = 7
Width = 15
Step-by-step explanation:
L= x
W= x-8
2x+2(x-8)=44
a village is 20 miles away from Belfast. Connor drives from the village to Belfast at an average speed of 40mph. Kelly drives from the village to Belfast at an average speed of 50mph. How much longer will the journey take Connor in minutes?.
Answer:
6 minutes
Step-by-step explanation:
Connor drives from the village to Belfast at an average speed of 40mph.
The distance covered is 20 miles.
Time = distance/ speed
Time = 20/40
Time = 0.5 hours
Time = 30 minutes.
Kelly drives from the village to Belfast at an average speed of 50mph.
Time = distance/speed
Time = 20/50
Time = 0.4 hours
Time = 24 minutes
It will take Conor 30 - 24 = 6 minutes longer than Kelly
Please answer this correctly I want helping hand people to answer this correctly
Answer:
q = 9
Step-by-step explanation:
Make a ratio equation:
36 : 54 = 6 : q
[tex]\frac{2}{3} =\frac{6}{q}[/tex]
2q = 18
q = 9
Answer:
q = 9
Step-by-step explanation:
These shapes are similar, so set up a proportion like so:
[tex]\frac{54}{36} =\frac{9}{q}[/tex]
→Cross multiply:
[tex]\frac{324}{36q}[/tex]
→Divide 324 by 36:
q = 9
what’s the area of this triangle?
Answer:
hi there, the answer is
A=45 cm2
Step-by-step explanation:
A= 1/2 x 10 x 9
A=5 x 9
A=45 cm2
What’s the correct answer for this question?
Answer:
PQ = 6
Step-by-step explanation:
Using tangent-secant theorem,
(PQ)² = (PR)(PS)
(PQ)² = (4)(9)
(PQ)² = 36
Taking square root on both sides, we get
PQ = 6
Marco bought 5 gallons of gasoline for $17.70.
To find the unit price, the cost by the number of gallons.
The unit price is .
To find the unit price we need to all price divide by number of gallons, so
[tex]17.70\div5=3.54[/tex]
Answer: The unit price is $3.54
Answer:
Unit price = 3.54$
Step-by-step explanation:
By using criss-cross method:
5 gallons -> $17.70
1 gallon -> ?
Unit price = 1x17.70 / 5 = 3.54$
Hope this helps..
2. Is -1/3-4/5 positive,negative, or zero ?
If -3+i is a riot of the polynomial function f(x), which of the following must also be a root of f(x)
Answer:
-3-i
Step-by-step explanation:
imaginary roots always occur in pairs.
so second root=-3-i
Answer:
A) -3-i
Step-by-step explanation:
imaginary roots always occur in pairs.
A manufacturer claims that fewer than 6% of its fax machines are defective. In a random sample of 97 such fax machines, 5% are defective. Find the P-value for a test of the manufacturer's claim. Group of answer choices 0.3264 0.1736 0.3409 0.1591
Answer:
[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]
Now we can find the p value with the following probability:
[tex]p_v =P(z<-0.415)=0.3409[/tex]
Step-by-step explanation:
Information given
n=97 represent the random sample taken
[tex]\hat p=0.05[/tex] estimated proportion of defective
[tex]p_o=0.06[/tex] is the value to verify
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to tests
We want to tet if the true proportion is less than 6%, the system of hypothesis are:
Null hypothesis:[tex]p\geq 0.06[/tex]
Alternative hypothesis:[tex]p < 0.06[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.05 -0.06}{\sqrt{\frac{0.06(1-0.06)}{97}}}=-0.415[/tex]
Now we can find the p value with the following probability:
[tex]p_v =P(z<-0.415)=0.3409[/tex]
A garage charges $24 an hour for labour. The garage charges Nigel $336 labour to replace the engine in his car. For how many hour labours was he charged?
Answer:
14 hours
Step-by-step explanation:
336/$24 = 14 hours
Answer: 14 hours
Step-by-step explanation:
Total charges = 336
Rate per hour = 24
No. of hours worked
= 336 / 24 = 14 hours
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
question wrong
Step-by-step explanation:
2 same angles
[tex]\frac{13+5}{z} = \frac{z}{5} \\\\z^{2} = 5 * 18\\z^{2} = 90\\z = \sqrt{90} = 9,4[/tex]
64 less than y is no less than −128 Written in interval notation
Answer:
[tex]y\in [-64,\infty)[/tex] .
Step-by-step explanation:
The given statement is "64 less than y is no less than −128". It means 64 less than y is greater than or equal to −128.
[tex]y-64\geq -128[/tex]
Add 64 both sides.
[tex]y-64+64\geq -128+64[/tex]
[tex]y\geq -64[/tex]
It means possible value of y is greater than or equal to -64.
[tex]y\in [-64,\infty)[/tex]
Therefore, the required interval is [tex][-64,\infty)[/tex].
Filmore has invested $10,000 in an account to help pay for his grandson’s education. He expects the account to return 4.5% annually. Use the rule of 72 to estimate how long it will take the $10,000 to double in value.
Answer:
16 years
Step-by-step explanation:
The rule of 72 says you can estimate the doubling time in years by dividing 72 by the interest rate in percent.
__
For an interest rate of 4.5%, the rule of 72 says the doubling time is ...
72/4.5 = 16 . . . years
It will take about 16 years for the investment to double in value.
The director of the IRS has been flooded with complaints that people must wait more than 40 minutes before seeing an IRS representative. To determine the validity of these complaints, the IRS randomly selects 400 people entering IRS offices across the country and records the times which they must wait before seeing an IRS representative. The average waiting time for the sample is 60 minutes with a standard deviation of 22 minutes.
(a) Is there overwhelming evidence to support the claim that the wait time to see an IRS representative is more than 40 minutes at a 0.100 significance level?
Answer:
[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]
The degrees of freedom are given by:
[tex]df=n-1=400-1=399[/tex]
The p value for this case would be given by:
[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]
For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes
Step-by-step explanation:
Information provided
[tex]\bar X=60[/tex] represent the sample mean
[tex]s=22[/tex] represent the sample standard deviation
[tex]n=400[/tex] sample size
[tex]\mu_o =40[/tex] represent the value to verify
[tex]\alpha=0.1[/tex] represent the significance level
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to verify if the true mean for this case is higher than 40 minutes, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 40[/tex]
Alternative hypothesis:[tex]\mu > 40[/tex]
The statistic would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{60-40}{\frac{22}{\sqrt{400}}}=18.18[/tex]
The degrees of freedom are given by:
[tex]df=n-1=400-1=399[/tex]
The p value for this case would be given by:
[tex]p_v =P(t_{(399)}>18.18) \approx 0[/tex]
For this case since the p value is a very low value we can conclude that we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly higher than 40 minutes
A cone and a cylinder have the same base and height, as shown below. A cone is inside of a cylinder with same base and height. The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
Answer:
The volume of the cone = 28 inch³
Step-by-step explanation:
First let's consider the formula for the volume of the shapes
For cylinder
Volume= πr²h
For cone
Volume= 1/3 πr²h
So we'd notice that no much difference except that the volume if a cylinder is divided by two to get that off a cone.
So if the volume of the cylinder is
84π inch
The volume of the cone is 84/3 = 28
The volume of the cone = 28 inch³
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if
necessary.
legs: 18 in, and 17 in.
24.8 in.
a.
b.
5.9 in.
c. 27.7 in.
d. 19.5 in.
Answer:
A)24.8in
Step-by-step explanation:
17^2 + 18^2 =613
sq root of 613 = 24.758...
24.8in
Burnwood Tech plans to issue some $50 par preferred stock with a 8% dividend. A similar stock is selling on the market for $65. Burnwood must pay flotation costs of 6% of the issue price. What is the cost of the preferred stock? Round your answer to two decimal places.
Answer:
6.5%
Step-by-step explanation:
The formular used to calculate the cost of preferred stock is:
= Fixed dividend/Net proceeds
Fixed dividend= $50 × 8/100
= $50×0.08
=$4
Net proceeds= Market price-Flotation costs
= $65-(6/100×$65)
= $65-(0.06×$65)
= $65-3.9
= $61.1
Therefore cost of preferred stock is
= 4/61.1 ×100
= 0.065×100
= 6.5%
Hence the cost of preferred stock is 6.5%