Answer:
75.23 is the answer for 77.5-2.27
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
Using the figure below, what is the trigonometric ratio of cos C?
Answer:
8/9 (choice b)
Step-by-step explanation:
The trigonometric ratios are based on the ratios of different sides.
If you remember SOH CAH TOA =
sine (sin) opposite hypotenuse
cosine (cos) adjacent hypotenuse
tangent (tan) opposite adjacent
__________________________
This is a nuemonic for these ratios.
the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.
So cos C = adjacent side / hypotenuse side.
Since 18 is greater than 16 and 9, 18 is the hypotenuse.
the adjacent side is the side other than the opposite side and the hypotenuse which is 16
therefore cos C = 16 / 18 = 8 / 9.
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Write the percent as a fraction or mixed number in lowest term 74 3/8%
Answer:
222/2 = 111
8/2 = 4
74 /1
Step-by-step explanation:
Which is the equation of a line that has a slope of -7 and a Y intercept of 2
Answer:
y = -7x + 2
Step-by-step explanation:
Round to the nearest hundredth 94.855
Which graph shows the sequence –7, –4, –1, 2, ...?
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
How much of the sample will remain after 1 year?
Answer:
Step-by-step explanation:
1.5×0.5^(⅙) ≅ 1.3 mg
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
--Please help, ill give 30 points and brainiest if your correct!!--
Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2
Answer:
The amount in table as positive negative numbers: -5, 4, -1, 3, -2.
The spinner lands on red the change to Lisa's amount of money is -$5.
Step-by-step explanation:
Consider the provided table.
Part(A)
The table list how much a player receives or pays for various.
Paying some money is represented by a negative sign while receiving money is represented by a positive sign.
For red they needs to pay $5 which can be written as -5.
For blue they received $4 which can be written as 4.
For yellow they needs to pay $1 which can be written as -1.
For green they received $3 which can be written as 3.
For orange they needs to pay $2 which can be written as -2.
So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.
Part(B)
Now, we need to describe the change to Lisa’s amount of money when the spinner lands on red.
If spinner lands on red then she needs to pay $5.
Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]
Find the area of the figure.
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
Which conditions are necessary for hail to form?
Answer:
Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.
Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.
Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
Complete the statement with the term that makes it true.
If there is no data for a value within the range, there still needs to be a
for that value in a frequency table.
O column
Orow
Otable
Answer is in the file below
tinyurl.com/wpazsebu
The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?
A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these
sum is the answer to addition problem.
less than is subtraction and "times" is multiplication.
So we have
3x+2=5x-4
So the answer is C.
Also, i'm bored so imma solve it.
3x+2=5x-4
-2 -2
3x=5x-6
-5x -5x
-2x=-6
/-2 /-2
x=3
---
hope it helps
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
Evaluate the expression if a = -2, b= 7. and c= -3
ac + b=
Answer:
13
Step-by-step explanation:
plug in the numbers
-2(-3) + 7 = ?
6 + 7 = ?
13
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left $1.10 as a tip. The tax was 4% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
all info is needed answer of the total bill is:275 us
Step-by-step explanation:
10x1.10=11= tax
100/z=4/11
275
Which inequality is true if p=3?
A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p
Answer:
D
Step-by-step explanation:
2×3 = 6 which is less than 8
What is 21+G as an algebraic expression?
Answer:
i dont know
Step-by-step explanation:
lol
Answer:
(20 + 1) + G
Step-by-step explanation:
what is the volume if this rectangular prism
Answer:
24.2^3cm is the correct answer .
you have $63.50. you earn additional money by raking leaves. you purchase a sweatshirt $44.99 and you have $53.51 left. how much money did you earn raking leafs?
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
help me please
I need fast
Answer:
48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48
Find the slope of the line that passes through the following points.
(2.10) and (5.8)
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
the value of the required slope can be calculated from:
[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]
[tex]s=\frac{10-8}{2-5};[/tex]
finally,
[tex]s=-\frac{2}{3}.[/tex]
Note, the suggested option is not the only one.
Extra Points and brainliest! Question below
Answer:
14 one fourths
Step-by-step explanation:
First, we convert 7/2 into a fraction with the denominator of a four. To do this, we multiply the top and bottom by 2. 7*2 is 14, and 2*2 is 4, which gives us 14/4. This means that there are 14 one fourths in 7/2. Hope this helps!
Answer:
14 fourths
Step-by-step explanation:
Hey There!
So to solve this problem we need to divide 7/2 by 1/4
[tex]\frac{7}{2}divided by\frac{1}{4} =14[/tex]
Therefore 14 fourths can go into 7/2