Explanation is in the file
tinyurl.com/wtjfavyw
3.26 From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.
Answer:
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]Green = 2[/tex]
[tex]r = 3[/tex] --- selected balls (with replacement)
Required
Determine the probability distribution for the green balls.
Let x be a [tex]random\ variable[/tex] such that:
[tex]x = 0, 1, 2, 3[/tex]
Because it is a selection with replacement
The probability of a green ball being drawn is always:
[tex]P(G) = \frac{Green}{Total}[/tex]
[tex]P(G) = \frac{2}{6}[/tex]
[tex]P(G) = \frac{1}{3}[/tex]
The probability of a black ball being drawn is always:
[tex]P(B) = \frac{Black}{Total}[/tex]
[tex]P(B) = \frac{4}{6}[/tex]
[tex]P(B) = \frac{2}{3}[/tex]
So, the probability distribution of green is:
[tex]P(X = x) = (P(B))^{3-x} * (P(G))^x[/tex]
[tex]P(X = x) = (\frac{2}{3})^{3-x} * (\frac{1}{3})^x[/tex]
Apply law of indices
[tex]P(X = x) = \frac{2^{3-x}}{3^{3-x}} * \frac{1^x}{3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1^x}{3^{3-x}*3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^{3-x+x}}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^3}[/tex]
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Please help me ASAP
Can someone please help and thank you:)
find the slope of the line through the points (10,6) and (-1,8)
Answer:
-2/11
Step-by-step explanation:
PLS HELP QUICK I NEED THIS TO PASS
Anna is making a sculpture in the shape of a triangular prism. The triangular bases have sides of 10m 10m and 12m and the height is 8m. She wants to coat it in a special finish so it preserves longer. if the sculpture is 5m thick what is the total area she will have to cover with the finish
Suppose the probability of failure in a binomial experiment is 0.15. What is
the probability of success?
A. 0.65
B. 0.35
C. 0.85
D. 0.75
Answer is 0.85
Answer:
C
Step-by-step explanation:
Like you said, the answer is 0.85.
A slice of a pie weighs 8 ounces. How many pounds do 6 slices of pie weigh?
Answer:
48 ounces
Step-by-step explanation:
1 slice= 8 ounces
6 slices×8=48
Answer:
48
Step-by-step explanation:
Solve for x in the figure below
Answer:
x = 20
Step-by-step explanation:
5x - 21 = 2x + 39 (corresponding angles are congruent)
Collect like terms
5x - 2x = 21 + 39
3x = 60
Divide both sides by 3
3x/3 = 60/3
x = 20
What amount of water fills a glass
Answer:
depends on the glass
Step-by-step explanation:
Step-by-step explanation:
it depends of the size of the glass and the measurement of the amount of water the glass can carry
"The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000) 4th of July ($000) Fall Festival (000)
8.0 6.8 12.0 9.5
6.0 6.4 7.5 10.4
12.0 11.6 9.0 6.6
10.5 10.2 10.6 10.1
8.5 6.0 10.0 6.1
12.5 11.1 7.5 9.0
9.0 7.5 10.0 12.6
5.5 8.4
a-1. Compute and report the regression equation that predicts "fall festival attendance" with "amount spent on Fourth of July fireworks". (Round your answers to 2 decimal places.)
a-2. Report the coefficient of determination. (Round your answer to 2 decimal places.) %
a-3. Interpret the regression coefficient. (Round your answer to 4 decimal places.)
b. Evaluate the regression assumptions based on an analysis of the residuals .
The regression assumptions based on an analysis of the residuals is_______.
Answer:
ŷ = 0.52X + 3.99 ;
0.26 ;
0.5123
Step-by-step explanation:
4th of July :
8.0
6.0
12.0
10.5
8.5
12.5
9.0
5.5
12.0
7.5
9.0
10.6
10.0
7.5
10.0
Fall festival :
6.8
6.4
11.6
10.2
6.0
11.1
7.5
8.4
9.5
10.4
6.6
10.1
6.1
9.0
12.6
Using technology, the regression equation which predicts fall festival attendance with amount spent on 4th of July fireworks is ;
ŷ = 0.52X + 3.99
Coefficient of determination ; R² is 0.26
This means that about 26% of variation in the fall festival attendance is explained by the regression line.
The regression Coefficient, R = sqrt(R²) = sqrt(0.2625) = 0.5123
This depicts that a faiy strong positive correlation exists between the amount spent on 4th July fireworks and the fall festival attendance.
4) Mitzi is 64 inches tall and casts a 48 inch shadow. Her daughter, who is standing next to her,
casts a 30 inch shadow. How tall is her daughter?
a) 47.5 in.
b) 40 in.
c) 35 in
d) 22.5 in.
I
Answer:
She is 46 inches tall!
Step-by-step explanation:
Need help and answer if you know it please
What are the zeros of the quadratic expression 3x2 - 6x - 24?
Answer:
3(x−4)(x+2)
Step-by-step explanation:
Normal distribution: Area between two points You might need: Calculator, Z table A set of mathematics exam scores are normally distributed with a mean of 80.2 points and a standard deviation of 4 points What proportion of exam scores are between 82 and 85.6 points? You may round your answer to four decimal places.
Answer: .2379
Step-by-step explanation:
Answer: 0.2379
Step-by-step explanation:
0.9115 - 0.6736 = 0.2379
3x +2y=10 4x-y=6 using substitutional method
Answer:
( 2 , 2 )
Step-by-step explanation:
Solve the eqaution :
3x +2y=10
4x-y=6
Solve the eqaution for y :
3x + 2y = 10
y = -6 + 4x
Substitute for y : 3x + 2 ( -6 + 4x ) = 10
x = 10
Substitute for the value of x : x = 2
Substitute the given value of x into the eqaution
y = -6 + 4x : y = -6 + 4 × 2
Solve the eqaution: y = -6 + 4 × 2
solve the eqaution for y : y = 2
y = 2 A possible solution : the ordered solution pair is
( 2 , 2 )
What is the product of (3+square root of 7)(3-square root of 7)
( 3 + √ 7 ) ( 3 − √ 7 ) = 2 Explanation: You can simplify this expression by using the formula for the difference of squares a 2 − b 2 = ( a − b ) ( a + b ) In your case, you ca say that a = 3 and b = √ 7 . This means that you have ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 2 − ( √ 7 ) 2 = 9 − 7 = 2 Alternatively, if you don't know the formula for the difference of squares, you can rewrite this expression by expanding the parantheses ( 3 + √ 7 ) ( 3 − √ 7 ) = 3 ⋅ 3 − 3 ⋅ √ 7 + 3 ⋅ √ 7 − √ 7 ⋅ √ 7 Once again, the result will be 3 ⋅ 3 − √ 7 ⋅ √ 7 = 3 2 − 7 = 2
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. (a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. *** Complete sentences
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation:
Explain step by step how to use the horizontal method the multiple the two polynomials
Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a² + 5a - 2)* (5a² -3a + 4)
= 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)
=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)
=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8
= 15a⁴ - 9a³ + 25a³ + 12a² - 15a² - 10a² + 20a +6a - 8
= 15a⁴ + 16a³ - 13a² +26a - 8
2)Kendra is 3 times her daughter's age plus 7 years, Kendra is 49 years old. Write an equation to find her daughter's age. (2)
Answer:
Equation: 49 = 3x + 7
Answer: x = 14
Step-by-step explanation:
Let Kendra's daughter's age be denoted by the variable, x.
Set the equation. Note that:
Kendra is 49 years old.
Kendra is 3 times her daughter's age (x) plus 7 years.
Equation: 49 = 3x + 7
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 7 from both sides of the equation:
49 (-7) = 3x + 7 (-7)
49 - 7 = 3x
42 = 3x
Next, divide 3 from both sides of the equation:
(42)/3 = (3x)/3
x = 42/3
x = 14
14 is your answer.
~
The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Step-by-step explanation:
For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
HELP !!!!!!!!!! PLEASEEEEEEE
Answer:
13.825, 13, -13 25/40
Answer:
13.825, 13, and -13 25/40
Step-by-step explanation:
Hope this helps :)
On three days, Ben throws darts at a target.
Here are his results.
Number of hits
Number of misses
30
10
Number of throws
Monday
40
Tuesday
30
Wednesday
50
Total
120
18
12
36
14
84
36
(1)
a) Use Tuesday's results to estimate the
probability of Ben hitting the targe.
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
c) Which estimate would give the most reliable probability?
A- the one from Tuesday or B - the one from the Total?
(1)
(1)
Total marks: 3
Answer:
0.6 ;
0.7
Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)
Step-by-step explanation:
Probability of hitting the target using Tuesday's result :
P(hitting the target):
Probability = required outcome / Total possible outcomes
Required outcome = number of hits = 18
Total possible outcomes = number of throws =. 30
Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6
B.)
Probability of hitting the target using Total result:
Required outcome = number of hits = 84
Total possible outcomes = number of throws =. 120
= 84 / 120
= 0.7
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
An international company has 22,600 employees in one country. If this represents 16.3% of the company’s employees, how many employees does it have in total?
Round your answer to nearest whole number.
I will give brainliest
Answer:
sorry but I don't know the answer
Answer:
138650
Step-by-step explanation:
let the total nunber of employees be x
16.3% of x = 22 600
16.3
----- × x = 22 600
100
x = 22 600 × 100
-------------------
16.3
x = 138 650.3067
x = 138 650 (to the nearest whole number)
Three friends drove radio controlled cars around a track. The table below shows the number of laps
completed by each person and the time it took.
Kaitlin
Keiko
Ann
Time (minutes)
9
7
5
Number of laps
54
28
25
Write the number of laps completed per minute for each person. Then determine who drove the fastest.
Number of laps completed per minute by Kaitlin:
Number of laps completed per minute by Keiko:
Number of laps completed per minute by Ann:
Select the person who drove the fastest.
Kaitlin
O keiko
Ann
4 times a number increased by 10 is no less than 18, whats the equation please i need it less than 10 mins and pleasse dont put fake answer will get reported
Answer:
4x + 10 is less than or equal to 18
Hope this helps :) Good Luck!
Solve the question f/3+22=17
Answer:
f=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Answer:
f=−15
The value of the variable f for the given expression is f=-15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is f/3+22=17. The value of f will be calculated as:-
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Hence, the value of f will be -15.
To know more about an expression follow
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Write in expression form:
Seven times the quotient of 8 and 5
Answer:
7 x (8 ÷ 5)
hhhhhhhhhhhhhhhhhhhhhhhhhhh
3x + 2 + 11x
It must be simplified
Answer:
14x+2
Step-by-step explanation:
3x+11x = 14x then +2 is left over so it's 14x+2