What is the expected value of the game if 3 hits pay $6, 2 hits pays $4, 1 hit pays $2, and 0 hits pays costs $4?
Answers
[tex]P\left(3\:hits\right)=0.7\times 0.5\times 0.3=0.105[/tex]
The probability of getting 2 hits is
[tex]P\left(2\:hits\right)=\left(0.7\times 0.5\times 0.7\right)+\left(0.7\times 0.5\times 0.3\right)+\left(0.3\times 0.5\times 0.3\right)=0.395[/tex]
The probability of getting 1 hit is
[tex]P\left(1\:hit\right)=\left(0.7\times 0.5\times 0.7\right)+\left(0.3\times 0.5\times 0.7\right)+\left(0.3\times 0.5\times 0.3\right)=0.395[/tex]
The probability of getting 0 hit is
[tex]P\left(0\:hit\right)=0.3\times 0.5\times 0.7=0.105[/tex]
The expected value is solved by adding the products of the probability by the given pay. That is
[tex]E=0.105\left(6\right)+0.395\left(4\right)+0.395\left(2\right)+0.105\left(4\right)=3.42[/tex]
The expected value is $3.42.
Related Questions
N english instructor asserted that students' test grades are directly proportional to the amount of time spent studying. lisa studies 6 hr for a particular test and gets a score of 79. at this rate, how many hours would she have had to study to get a score of 92?
Answers
[tex]x = \frac{92 \times 6}{79} = 6.9[/tex]
which means she has to study approximately 7 hours to get score of 92.
Hope this helps.
All log graphs contain the points (1,0), (a,1), and (1/a,-1).
True .
False.
Answers
Explanation:
1. [tex]log_a1 = 0[/tex] (Straightforward)
2. [tex]log_aa = 1 [/tex] (log to base of itself is always 1)
3. [tex]log_a \frac{1}{a} = log_aa^{-1} = -1(1) = -1[/tex] (Using log power property)
Hence the correct option is True.
$10,000 is invested at two different rates. $2,500 is invested at 4%, and the rest is invested at 5%. How much interest is earned at the end of one year? Show all work for full credit.
Answers
0.04(2500) + 0.05(7500)
Multiply:
100 + 375 = 475
$475 is made in one year
The cost of fertilizing a lawn is $0.25 per square foot. find the cost to fertilize the triangular lawn whose base is left parenthesis 14 plus startroot 17 endroot right parenthesis feet and altitude is startroot 68 endroot feet.
Answers
the Area of the Triangle = 1/2 x base x altitude = 1/2 x (14+√17) x 68 = 524.08 square foot
The cost of fertilizing = the cost of the square foot x the total area = 0.25x524.08 = 131 $
Given f(x)=x-7 and g(x)=x2 find g(f(-1))
Answers
Identify the radius of the circle whose equation is (x - 2)2 + (y - 8)2 = 16.
Answers
That equation is in center-radius form. When that’s the case, the radius is the square root of the number in the right of the equals sign. Square root of 16 is 4.
In three more years, miguel's grandfather will be six times as old as miguel was last year. when miguel's present age is added to his grandfather's present age, the sum is 68. how old is each one now?
Answers
You have decided to buy a new home and the bank offers you a 10 year fixed loan at 5.0% on a balance of $275,325. Use the table provided to determine the monthly payments.a.$183,147c.$185,350b.$184,789d.$186,523
Answers
Answer:
ita A
Step-by-step explanation:
You can calculate the monthly payments for a 10-year fixed loan at 5.0% on a balance of $275,325 by plugging the values into the amortization formula: M = P [r(1+r)^n] / [(1+r)^n – 1]. Perform the calculations and compare the result to the answer choices.
Explanation:This question falls under the category of financial mathematics, specifically loan repayment calculations. When calculating a fixed loan, we typically use an amortization formula to find our monthly payment. The formula we use is: M = P [r(1+r)^n] / [(1+r)^n – 1], where M is our monthly payment, P is the principal loan amount (in this case $275,325), r is our monthly interest rate (annual rate of 5% divided by 12), and n is the number of payments (or the number of months, in this case, 10 years or 120 months).
Plugging in these numbers, we get M = $275,325[0.004167(1+0.004167)^120] / [(1+0.004167)^120 – 1].
After performing these calculations, you will get the monthly payment for this 10-year fixed loan. Compare this number to the choices given to get your answer.
Learn more about Loan Repayment Calculation here:https://brainly.com/question/28244942
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PLEASE HELP!! All I need to finish off my year! WILL BRAINLIEST AND VOTE!
1. How would you prove that circles are similar?
3.Find the center and the radius for the circle, given the equation:
x^2-14x+y^2+8y=16
Answers
we know that
All circles are similar. Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. In our attempt to prove all circles are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another
Part 2)
a) ∡BAD=128°-----------> by central angle
b) ∡BCD
The inscribed angle measures half of the arc it comprises.
so
∡BCD=128°/2----> 64°
c) ∡BED
The measure of the external angle is the semi difference of the arcs that it covers.
arc BCD=360°-128°=232°
∡BED=(1/2)*[232-128]-----> 52°
d) What is the relationship between BA and BE?
in the right triangle ABE
∡BEA=∡BED/2-----> 52°/2-----> 26°
tan (∡BEA)=BA/BE------> tan 26°=BA/BE----> BA/BE=0.4877
Part 3) Find the center and the radius for the circle, given the equation:
x²-14x+y²+8y=16
Group terms that contain the same variable
(x²-14x)+(y²+8y)=16
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
(x²-14x+49)+(y²+8y+16)=16+49+16
Rewrite as perfect squares
(x-7)²+(y+4)²=81
(x-7)²+(y+4)²=9²
a) the center is the point (7,-4)
b) the radius is 9
Can someone explain this to me???
Answers
Exponential functions are given by:
f(x)=a(b)^x
when:
a is negative, the graph will be reflected along y-axis
b>1 the graph will be an exponential growth
b<1 the graph will be an exponential decay
1] a]
y=3(2)^x
y-intercept:
at y-intercept x=0 thus
y=3(2)^0
y=3(1)=3
thus y intercept is at y=3
c] since there is no asymptote
d] Domain:
All real numbers
e] Range:
[0,∞)
That all positive real numbers.
2]
a] f(x)=2(0.25)^x
a=2
b=0.25
b<1
thus the function is exponential decay
b] The horizontal axis is at y=0.
c] Domain:
The domain is all real numbers.
d] Range:
The range are all positive values.
e] y-intercept
f(x)=2(0.25)^x
at y-intercept , x=0 thus
y=2(0.25)^0
y=2(1)
y=2
3] y=-5(2)^x
a] This is a decay function since a=-5
b] y-intercept
f(x)=-5(2)^x
f(x)=-5(2)^0
f(x)=-5
C] the asymptote is y=0
d] Domain are all real numbers
e] Range
Range are all negative real numbers
13. Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale.
A. AA Postulate
B. AS Postulate
C. SSA Theorem
D. SSS Theorem
Answers
Answer:
A) AA postulate
Step-by-step explanation:
This postulate used to prove the two triangles are similar.
If two angles in a triangle are congruent to two angles in other triangle, then the two triangles are called similar.
Hope this will helpful.
Thank you.
What is cos (x)?
A) 48/58
B) 58/48
C) 26/58
D) 58/26
Answers
In order to solve for the Cos(x), you need to find the missing side. You can do that by finding the Sin(x) first and then the Cos of x or you can just use the Pythagorean theorem. I'm going to do the latter.
Formula
a^2 + b^2 = c^2
Givens
a = ???
b = 32
c = 58
Sub and solve
a^2 = ???
b^2 = 1024
c^2 = 3364
a^2 + 32^2 = 58^2
1024 + a^2 = 3364 Subtract 1024 from both sides.
a^2 = 3364 - 1024
a^2 = 2340 Take the square root of both sides.
sqrt(a^2) = sqrt(2340) Break a into its prime factors.
a = sqrt(2 * 2 * 5 * 3 * 3 * 13)
Rule
For every pair of equal factors, one can be brought outside the root sign and the other is discarded.
a = 2 * 3 * sqrt(5*13)
a = 6 sqrt(65)
The cos of an angle = opposite / hypotenuse.
Cos(x) = 6*sqrt(65) / 58 <<<<< This should be the answer
If you are offered choices, you should list them
Another choice would be 6*8.0623 / 58 = 0.8340 <<<<< Answer
Express in exponential form log(2)16 = 4
Answers
Solve using the quadratic formula
Answers
Answer:
x = - 16, x = 9
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]
Ignore the "A" ^
v² + 7v - 144 = 0
a = 1, b = 7, c = - 144
[tex]x=\frac{-7±\sqrt{7^{2} -4(1)(-144)} }{2(1)}[/tex]
[tex]x=\frac{-7±\sqrt{49 +576} }{2}[/tex]
[tex]x=\frac{-7±\sqrt{625} }{2}[/tex]
[tex]x=\frac{-7+25}{2}[/tex] and [tex]x=\frac{-7-25}{2}[/tex]
[tex]x=\frac{18}{2}[/tex] and [tex]x=\frac{-32}{2}[/tex]
x = 9 and x = - 16
Kevin owes $4,645 on a credit card with a 19.7% interest rate compounded monthly. What is the monthly payment he should make in order to pay off this debt in 12 months, assuming he does not charge any more purchases with the card?
$387.08
$84.34
$429.62
$1,034.65
**Please help with steps too, please.
Answers
Alternatively, and somewhat more slowly, you can make use of the amortization formula.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where A is the monthly payment,
P is the current balance (4645),
r is the annual rate (.197),
n is the number of compoundings per year (12), and
t is the number of years (1).
Filling in the numbers, you have
A = 4645*(.197/12)/(1 -(1 +.197/12)^-12)
A ≈ 429.62 . . . . . corresponds to the 3rd choice
(y + 5)(y – 9) = 0
need help asap!!
Answers
y + 5 = 0
Subtract 5 from both sides.
y = 0 - 5
y = - 5
y - 9 = 0
Add 9 to both sides
y = 0 + 9
y = 9
y = - 5, 9
Write an equation for the line that passes through (0, -9) and (3, 0).
A. y = 3x + 9
B. y = -9x + 3
C. y = 3x + 3
D. y = 3x - 9
Answers
= (0- - 9) / (3 - 0) = 9/3 = 3
Now use the point slope form of the equation to plug in the point (3,0):-
y - y1 = 3(x - x1)
y1 = 0 and x1 = 3:-
y - 0 = 3(x - 3)
y = 3x - 9 is the answer Its D.
Find the volume of the cylinder. Use 3.14 for pie
Answers
[tex]v = \pi {r}^{2} \times h[/tex]
[tex]v = 3.14 \times {3}^{2} \times 12[/tex]
Suppose you have an unfair coin that comes up heads 60% of the time and tails 40% of the time. you play a game where you flip the coin a single time and you lose $2 if you get heads and you win $3 if you get tails. what is the expected value of your outcome?
Answers
$80 is divided Between two men such that 1/4 of one persons share is equal to 1/6 Of the other how much will each man receive
Answers
y/4 = x/6
6y = 4x
4x + 4y = 320
6y + 4y = 320
10y = 320
y = 32
6(32) = 4x
x = 48
Answer: The amounts are $32 and $48.
Final answer:
To divide $80 between two men so that 1/4 of one person's share equals 1/6 of the other's share, each man will receive $40 and $60, respectively.
Explanation:
To divide $80 between two men so that 1/4 of one person's share equals 1/6 of the other's share:
Let x be one person's share and y be the other person's share.
Set up the given ratio: 1/4x = 1/6y.
Solve the ratio equation to find x and y: 1/4x = 1/6y can be simplified to x = $40 and y = $60.
How could the relationship of the data be classified? scatter plot with points scattered going up to the right
A fairly strong positive correlation
A fairly strong negative correlation
A fairly weak negative correlation
Answers
Answer:
The correct answer is A. A fairly strong positive correlation
Step-by-step explanation:
Scatter Plot : A graph of plotted points that show the relationship between two sets of data.
Now, the points of the scatter plot are going up this shows the increase in the data points so we can say the correlation is positive.
Now, the direction of the scatter plots is to the right. So, we can say that the correlation is strong correlation.
Hence, the correct answer is A. A fairly strong positive correlation
Answer:
the Correct Option is A : fairly strong positive correlation
Step-by-step explanation:
Scatter Plot is a graph that is graphed using points and which shows the relationship between two sets of data. Only used to show correlation.
As given the points of the scatter plot are going up this implies the increment in one set of data with respect to other so we can say here correlation is positive. And the direction of the scattered points is to the right. So, it reflects that the correlation is strong correlation.
Thus, the Correct Option is A : fairly strong positive correlation
A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.
Answers
To find the area of a rhombus with diagonals of 500 yards and 800 yards, use the formula (d1 * d2) / 2 and convert the result to square miles.
Given: The diagonals of the rhombus are 500 yards and 800 yards.
Formula: The area of a rhombus can be calculated using the formula: Area = (d1 * d2) / 2, where d1 and d2 are the diagonals of the rhombus.
Calculation: Area = (500 * 800) / 2 = 200,000 square yards.
Conversion: To convert square yards to square miles, divide the area by 3,097,600 (number of square yards in a square mile).
Final Result: The area of the rhombus is approximately 0.0646 square miles.
URGENT 50 POINTS!!!
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Water damage (from broken pipes, overflows, etc.) results in approximately 12% of claims overall, with an average claim being $5,200. What is the expected value (loss or gain) to Acasa for every customer who chooses plan A?
A.)$-1,060
B.)$ 436
C.)$ -360
D.)$ -100
Answers
its not c.
answer- b
Answer:
The answer is B
Step-by-step explanation:
I got it right on plato
Use the verbs in the word bank to complete the sentences. Remember that you will need to put the verb in the correct form. Watch out for irregulars and stem changers! Do NOT write the sentence. ONLY fill in the verb in its correct form.
Word Bank:
ser comer jugar estar ir estudiar
1. Carlos _____ muy inteligente.
2. Mi hermana y yo ______ al museo.
3. Yo ________ al fútbol todos los sábados.
4. ¿Qué ______ tú cuando vas al restaurante mexicano?
5. Ustedes _________ los verbos en español. ¿No?
Question 1 options:
Blank # 1
Blank # 2
Blank # 3
Blank # 4
Blank # 5
Answers
2. fuimos
3. juego
4.comes
5. saben
*100% CORRECT ANSWER WERE
1) es
2) vamos
3) juego
4) comes
5) estudian
Mike saw 4 times and Many birds as Gigi. Mike saw 28 birds. Which equation can be used to find how many birds Gigi saw? a. 4x28=n b. 28-4=n c. 4+28=n d. 28+4=n
Answers
Short answer: A. 4 x 28 = n
Why?
You can use context clues. So, Gigi saw n birds, Mike saw 4 times as many birds as Gigi. Times is often referred to as multiplication. What is the only equation that shows times, or multiplication? That'd be A. 4 x 28 = n
Hope this helped you! ♥
Luis bought stock at $66.80. The next day, the price increased $13.85. This new price changed by −2 3 /4 % the following day. What was the final stock price, rounded to the nearest cent? ?
Answers
1) Luis bought stock at ---------------> $66.80
2) The next day, the price increased $13.85--------> $66.80+$13.85=$80.65
3) This new price changed by −2 3 /4 % the following day
2 3/4%----> (2*4+3)/4----> 11/4 %----> 2.75%
so
(100%-2.75%)-----> 97.25%
the final stock price is $80.65*0.9725-----> $78.43
the answer is
$78.43
Juan had $5.25 in nickels and quarters. if he had 15 more nickels than quarters, how many quarters did he have?
Answers
First, let us say x is the number of nickels Juan had, and y is the number of quarters Juan had.
Now, we all know that a nickel is worth 5 cents and a quarter is worth 25 cents. The given said Juan had a total amount of nickels and quarters equal to $5.25 and that there should be 15 more nickels than quarters - we need a second model: $5.25 = $0.05x+$0.25y, but x = y+15 => $5.25 = $0.05(y+15)+$0.25y. Simplifying, we have $5.25 = $0.05y+$0.25y+$0.75 or $0.3y+$0.75.
Isolating the unknown, we have $5.25-$0.75 = $0.3y, or $4.50 = $0.3y.
Divide both sides by $0.3, we have y = 15. Therefore, x = 15+15 or 30.
Check the solution, 30($0.05)+15($0.25) = $5.25.
Therefore, Juan had 15 quarters.
Juan had 15 quarters. To solve this, we created a system of equations representing the total value of the coins and the relationship between the number of nickels and quarters. Calculations led to the conclusion that there were 15 quarters in total.
The question requires us to solve a system of equations to find out how many quarters Juan had if he had $5.25 in nickels and quarters, with 15 more nickels than quarters. Let's denote the number of quarters as q and the number of nickels as n. Remember, a quarter is worth $0.25 and a nickel is worth $0.05.
Based on the given information, we can establish the following equations:
0.25q + 0.05n = $5.25 (the total value equation)n = q + 15 (the number of coins equation)We can substitute the second equation into the first to find the value of q.
0.25q + 0.05(q + 15) = $5.25
Solving for q:
0.25q + 0.05q + 0.75 = $5.25
0.30q + 0.75 = $5.25
0.30q = $4.50
q = $4.50 / 0.30
q = 15
Therefore, Juan had 15 quarters.
Hey y'all I REALLYYYY need help with this!!
!Calculate the distance between the points K= (1, -5) and J= (8,-9) in the coordinate plane. Give exact answer (not decimal form)
Answers
[tex]|KJ|=\sqrt{(1-8)^2+(-5+9)^2}=\sqrt{65}[/tex]
Explain how you find a unit rate when given a rate.
Answers
A car travels 100 miles in 2 hours
rate = 100 miles per 2 hours
unit rate = number of miles per ONE hour
so the unit rate in this case = 100/2 = 50 miles per hour.
Unit rate is the distance travelled in unit time. In this case the unit is an hour.
0.032 divided 4 = ___