Answer:
it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up
Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?
Answer:
1) the probability that he wins the second game is 0.45
2) the probability he wins the first game given that he won the second game is 0.333
3) Expected Value is $ 1.5 and the variance is 0.75
Step-by-step explanation:
Given the data in the question;
Let Win1 represent first game victory
and Loss1 represent first game loss
Let Win2 denote second game victory
and Loss2 denote second game loss
now from the Tree diagram of Daniel;
P ( Win1 ) = 0.6
P ( Loss1 ) = 0.4
P ( Win2 | Win1 ) = 0.25
P ( Loss2 | Win1 ) = 0.75
P ( Win2 | Loss1 ) = 0.75
P ( Loss2 | Loss1 ) = 0.25
1) probability that he wins the second game will be;
P ( Win2 ) = [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]
we substitute
= [0.6 × 0.25] + [0.4 * 0.75] = 0.45
Therefore the probability that he wins the second game is 0.45
2)
If he wins the second game, what is the probability that he also won the first game will be;
{From Bayes' Theorem}
P ( Win1 | Win2 ) = P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )
= 0.6 × 0.25 / 0.45 = 0.333
Therefore the probability he wins the first game given that he won the second game is 0.333
c)
winnings probability
$0 0.4 × 0.25 = 0.1
$1 0.6 × 0.75 = 0.45
$2 0.4 × 0.75 = 0.3
$3 0.6 × 0.25 = 0.15
so Expected Value = ∑( winnings × individual win probability)
= (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)
= 0 + 0.45 + 0.6 + 0.45
= $ 1.5
Variance = ∑( X² ) - (∑(X))²
∑( X² ) = Summation of ( Winnings² × Probability of Each Win )
so
Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²
Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25
Variance = 3 - 2.25
Variance = 0.75
Therefore Expected Value is $ 1.5 and the variance is 0.75
A survey of us adults found that 11% think that congress is a good reflection of american views. you rnadomly select 35 us adults and ask them whether they think tha tocngress is a good reflection of american views.
Find the probability that the number who say yes is (a) exactly 8, (b) at least 10, and (c) less than 5, and (d) identify any unusual events. Explain.
Answer:
C) Less than 5
Step-by-step explanation:
First you find 11% of 35
35 x .11 = 3.85
3.85<5
Therefor- it's less than five. No idea if that was the question but uh- that's what I understood from it. TwT
Help me pleaseee jesussss (10 points )
Which of the binomials below is a factor of this trinomial?
4x² + 12x + 9
The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The factor of the polynomial is calculated as:-
4x² + 12x + 9 = 4x² + 6x + 6x + 9
= 2x ( 2x + 3 ) + 3 ( 2x + 3 )
= (2x + 3)(2x + 3)
The factor is (2x + 3). Hence, the correct option is A.
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16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
Answer:
The radius of the circle is 7.5 cm
Step-by-step explanation:
Circles and Lines
The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.
We have attached an image with some additional measures to solve the problem.
Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.
The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:
[tex]r=\sqrt{6^2+4.5^2}[/tex]
[tex]r=\sqrt{36+20.25}[/tex]
[tex]r=\sqrt{56.25}[/tex]
[tex]\boxed{r = 7.5\ cm}[/tex]
The radius of the circle is 7.5 cm
Derek has 4 shirts, 7 pairs of pants, and 3 blazers. How many possible outfits can he make?
I need help it’s due in 20 min:(
Answer:
A) DF= 11
B) JH= 13.6
C) GJ= 23.6
D) m∠F= 105
E) m∠G= 34
F) m∠J= 41
Step-by-step explanation:
Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Hint: Distance equals rate times time. (d = r t)
Answer:
it goes 4233 miles
Step-by-step explanation:
sorry if am wrong luv!
Identify proportional relationships
Does the following table show a proportional relationship between the variables g and h?
g
3
6
9
9
36
81
Answer:
sure easy man the carrot is blue and green and orange there naswer soled
Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent
Answer:
Explicación más abajo
Step-by-step explanation:
Integración Indefinida
La integral
[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]
Se resuelve con el cambio de variables:
t=arcsen(x)
Una vez hechos los cambios, la integral se resuelve en función de t:
[tex]I=sen(t)-t.cos(t)+C[/tex]
Hay que devolver los cambios para mostrarla en función de x.
El cambio de variables también se puede escribir:
x=sen(t)
Recordando que
[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]
Entonces:
[tex]cos(t)=\sqrt{1-x^2}[/tex]
Devolviendo los cambios:
[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]
Es la respuesta correcta
(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
Sam is baking 10 pies for a school bake sale. He
uses 21 cups of apples for 6 pies. How many
cups of apples will he need in all? Explain
Answer:
Step-by-step explanation:
21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall
Answer:
35 cups of apples
Step-by-step explanation:
which transformation is shown here?
In order to redress a gender imbalance in its workforce, a company needs to appoint men and
women in the ratio 4:5. Over the next year 90 new jobs are expected to be advertised. How many
of the appointees should be men, and how many women?
Answer:
40 men 50 women
Step-by-step explanation:
4/9 should be men, 5/9 should be women.
Rise= ?
Run= ?
Slope= ?
Answer:
Rise = 0
Run = 4
Slope = 0
Step-by-step explanation:
Slope of straight line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Since, given line is passing through two points (-2, -3) and (2, -3),
Rise of the line = -3 - (-3) = 0
Run of the given line = 2 - (-2) = 4
By substituting these values of rise and run in the formula,
Slope = [tex]\frac{0}{4}[/tex]
= 0
Therefore, Rise = 0
Run = 4
Slope = 0
Note: Slope of a line parallel to the x-axis is zero.
Slope of a line parallel to y-axis is not defined.
Help plz I need to have this quick
Answer:
A and D are 87 degrees
C is 28 degrees
and B is 65 degrees
Step-by-step explanation:
28 degrees and c are congruent
a and d are congruent
65 degrees and b are cungruent
B(65)+28+D= 180
65+28= 93
93+D=180
D=87
A=D(87)
write the first 5 composite numbers?
Answer:
4, 6, 8, 9, 10, 12, 14, 15, 16
Step-by-step explanation:
"The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime."
hope this helps :)
2 3/5 is what percent of 20..................
Answer:
Hello There!!
Step-by-step explanation:
The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.
hope this helps,have a great day!!
~Pinky~
2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.
To convert 2 3/5 to a percentage of 20,
first need to express the mixed number as an improper fraction. The improper fraction is found by multiplying the whole number (2) by the denominator of the fraction (5) and then adding the numerator (3) to get 13/5.Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).
This gives us 2.6.
Express the decimal as a percentage, multiply by 100.
2.6 x 100 = 260%
This results in 260%. However, since 260% is larger than 100%,
Find the percentage of 260% by 20.
260%÷20
On dividing by 10 gives:
=26/2
On dividing by 2gives:
=13%
In conclusion, 2 3/5 is equal to 13% of 20.
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write an equation of the line with a slope of 2 and a y-intercept of 5
Answer:
y= 2x + 5
Step-by-step explanation:
A quiche took 101 minutes to make and 175 minutes to bake. Estimate the combined time it took to prepare the quiche by rounding to the nearest ten first and then adding the rounded numbers.
Answer:
1233
Step-by-step explanation:
kieley
Answer:
80
Step-by-step explanation:
180-100+80.
Plz help
f(x)=2x+1 Find f(3)
Step-by-step explanation:
f(3)=2(3)+1
6+1
7
answer is 7
Answer:
f(3)=15
Step-by-step explanation:
just put 3 instead of x
-27+ 20w=73? plsssssssssssssssssssssssssssss
Answer:
w = 5
Step-by-step explanation:
-27 + 20w = 73
add 27 to both sides
-27 + 27 + 20w = 73 + 27
20w = 100
divide both sides by 20
20w/20 = 100/20
w = 5
Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant.
A person's core body temperature (°F) in relation to time of day
a. Independent Variable: time of day, Dependent Variable: temperature Graph falls until morning and then steadily rises throughout the day.
b. Independent Variable: time of day, Dependent Variable: temperature Graph is constant and then rises.
c. Independent Variable: time of day, Dependent Variable: time of day Graph is constant and
then rises.
d. Independent Variable: temperature, Dependent Variable: time of day
Graph falls until morning
and then steadily rises throughout the day.
Answer:
d number is the correct answer of the question
PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6
_______ is the lowest point in a particular section of the graph.
A. relative maximum
B. relative minimum
C. absolute maximum
D. absolute minimum
Answer:
B
Step-by-step explanation:
Answer:
B. relative minimum
Step-by-step explanation:
This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.
Car X travels 186 miles and 3 hours right the equation of the line that describes the relationship between distance and time
Answer:
Y=62x
Step-by-step explanation:
The equation of the line that describes the relationship between distance and time is (y = 62x) and this can be determined by using the definition of speed.
Given :
Car X travels 186 miles and 3 hours.
The following steps can be used to determine the equation of the line that describes the relationship between distance and time:
Step 1 - Let the total distance covered by car X be 'y' and the total time taken by car to cover that distance be 'x'.
Step 2 - The speed is given by the ratio of distance to time.
[tex]\rm Speed = \dfrac{Distance }{Time}[/tex]
Step 3 - Now, put the value of distance and time in the above equation.
[tex]\rm Speed = \dfrac{y}{x}[/tex] ---- (1)
Step 4 - According to the given data the speed is given by:
[tex]\rm Speed = \dfrac{186}{3} = 62\; miles/hour[/tex]
Step 5 - Now, put the value of speed in equation (1).
[tex]\dfrac{y}{x}= 62[/tex]
y = 62x
The equation of the line that describes the relationship between distance and time is (y = 62x).
For more information, refer to the line given below:
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Whoever answers gets brainlist!
Answer:
B
Step-by-step explanation:
Answer:
The height is 4 Ft.
Step-by-step explanation:
9*4=36
9 ft*4 ft=36 Ft.
Hope this helps
The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH?
Answer:
10[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Let the width length be x.
Width length = x
Length = 2x + 4
Perimeter = width + length + width + length
= x + 2x + 4 + x + 2x + 4
= 6x + 8
6x + 8 = 28
6x = 28 - 8
= 20
x = 20 ÷ 6
x = 3[tex]\frac{1}{3}[/tex]
Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4
= 6[tex]\frac{2}{3}[/tex] + 4
= 10[tex]\frac{2}{3}[/tex]
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *
Answer:
4 tickets =$48
1 ticket = $48/4
= $ 12
11 tickets =11*$12
= $132
Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation: