Answer:
Player A receives $77.34375 of the sakes
Player B receives $22.65625 of the stakes
Step-by-step explanation:
Given that at the time the game was interrupted, we have;
The number of points player A has = 7 points
The number of points player B has = 5 points
The amount the first player to score 10 points wins = $100
The number of points remaining for player A to win the game = 3
The number of points remaining for player B to win the game = 5
Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials
We take the probability that Player A wins a point as success
We find the likelihood of Plater A winning by using binomial theory as follows;
[tex]P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}[/tex]
Therefore, given that the likelihood of Player A winning = 99/128
The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes
Therefore, Player A gets (99/128) × $100 = $77.34375
Player B gets (29/128) × $100 = $22.65625
The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?
Answer:
24
Step-by-step explanation:
Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case
5*8 and 3*8 = 64
3*8 = 24
5*8 = 40
There are 24 girls
What is the domain of the function shown in the graph?
A. X <0
B. X < -1
C. -infinity
D. X > -1
Answer:
-infinity < x < Infinity
Step-by-step explanation:
Youre welcome
keep it simple and explain your answer plss and thank you
Answer:
y=-1/3+4
Step-by-step explanation:
y=mx+b
mx=slope
b=y intercept
Use the volume formula to find the volume of the prism.
12
O A. 4 cubic units
O B. 18 cubic units
C. 7 cubic units
O D. 9 cubic units
answer
7
explain
multiple all of the
Solve for x in the triangle. Round your answer to the nearest tenth
Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.
Answer:
40°
Step-by-step explanation:
z+90+y+x=180°
z+90+30+40=180°
z=40°
Angle Z would be 40°
The top half of the image is 180° In total and the red square represents 90°,
And since angle X is 20° and angle Y is 30° thats 50° total leaving a total of 40° unknown for the top half making that 40°
Answer: Z=40°
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
Learn more about expression here:
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2 1/3 years to months
Answer:
27.99996931510212 months
Rounded to the nearest tenth: 28 months
Step-by-step explanation:
Is -12 greater than -5
Answer:
No. it's less than. The bigger the negative number is, the lesser it is.
Find the center and radius of the circle with the given equation. Then graph
the circle.
x² + y² = 16
Answer:
Step-by-step explanation:
Center (0,0)
radius = √16 = 4
For the equation, x² + y² = 16:
(0, 0) is the center and 4 is the radius.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Given:
An equation of a circle,
x² + y² = 16.
And the general formula of the circle,
(x – h)²+ (y - k)² = r²,
where (h, k) is the center and r is the radius of the circle.
Comparing, we get,
center is (0, 0)
And radius r² = 16
And r = 4
Therefore, (0, 0) is the center and 4 is the radius.
To learn more about the circle;
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HELPP DUEE BY 1pm PACIFIC HELP ASAPP
I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x
HELP ME PLEASE I HAVEE 5 MINNS lEft HELP
Answer:
im going to guess the last answer. theone that i can't see
Step-by-step explanation:
PLZ I NEED HELP ANSWER QUICK
Theres always 180 degrees in a flat line angle thingy you need answers fast so im not looking up what its called but 180-125=55 and then you 55-1=54 then 54/3=18!!!!!
Solve similar triangles
Solve for x
X=?
Answer:
x = 5
Step-by-step explanation:
AB/BC = AD/DE
9/3 = 15/x
9x = 45
x = 5
The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.
Answer:
7.065 sq. units
Step-by-step explanation:
The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.
Area = πr²
∴The required area is 7.065 sq. units
(a)write down the first ten square numbers.
(b)which two square numbers give a sum of 80?
(C)which two square number give a different of 11?
Someone help me on this please
Answer:
b
Step-by-step explanation:
PLEASE HELP I DONT GET THIS ASAP! IS THIS 21??
Enya is writing a 500 word essay. So far, she has written 150 words. What percent of her essay has she written so far?
Answer:
30%
Step-by-step explanation:
150/500 = 0.3
0.3x 100= 30%
Answer:
333.3%
Step-by-step explanation:
6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g
Answer:
A two-tailed test.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.
A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.
What type of dilation occurs with a scale factor of 1/4?
Answer:
Congruent
Step-by-step explanation:
Find the sum of the following fractions:
2/8 + 1/3
Answer:
Step-by-step explanation:
Answer:
7/12. if you find a common denominator for the two, like 24 for example, 2/8 converts to 6/24 and 1/3 converts to 8/24. 6/24+8/24=14/24, and that reduced is 7/12.
Step-by-step explanation:
y-4= -2(x-2) find the point on the line
Answer:
(0,8)
(4,0)
m= -2
____________________________________
You notice these two suitcases in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The bigger suitcase is how many times larger than the smaller suitcase??
Answer:
15x larger
Step-by-step explanation:
75x20x18=27000
25x8x9=1800
27000/1800=15
Anwser:15x larger
Answer:
15
Step-by-step explanation:
smaller suitcase = 1800in^3
bigger suitcase = 27000in^3
27000 divided by 1800 = 15
Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)
Answer:
3 miles
Step-by-step explanation:
1 hour = 3,600 seconds (3,600 ÷ 10 = 360)
360 x 44 = 15,840 Feet
1 mile = 5,280 feet
15,840 feet ÷ 5,280 feet = 3 miles
Kenji walks 3 miles in 1 hour.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
What is the difference in the mean absolute deviation for the average temperatures ?
Answer:Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Step-by-step explanation:
Plz help me well mark brainliest if correct
16+17=h+16
h=?
A.16
B.17
c.33
D.47
Answer:
The answer should be B
Answer:
17
Step-by-step explanation:
2 expressions equal are defined as equivalent expressions
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.
Answer:
The area of the bookmark is 68.56 cm².
Step-by-step explanation:
Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).
Find the area of the simpler figures.
Rectangle
A = LW
A = 14 · 4
A = 56
The area of the rectangle is 56 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 56 + 12.56
A = 68.56
The area of the bookmark is 68.56 cm².
Write two numbers that multiply to the value on top and add to the value on bottom,
-70
3
Answer:
45
Step-by-step explanation:
45
Which statement about the graph of y = }}) * is true?
A)
The graph has a vertical asymptote.
B)
The graph crosses the y-axis at (0,5).
를
o
The graph has an asymptote at y =
D)
The graph decreases from left to right.
Answer:
the graph has a vertical asymptote