Please Help
Use the probability distribution table to answer the question.
X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04
What is P(2
Answers
Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].
What does the discrete probability distribution gives?It give the probability of each outcome, and each outcome is represented by a countable number.
The desired probability is:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]
As there is an open interval at X = 2, it does not enter the calculation. The values are:
P(X = 3) = 0.1.P(X = 4) = 0.04.Hence:
[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]
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Related Questions
A rectangular prism is 25 inches wide, 5 inches long and 6 inches high.
What is the exact volume of the prism?
125
Answers
Answer:
750
Step-by-step explanation:
FORMULA FOR VOLUME
L×W×H
L:5
W:25
G:H
5x25x6=750
You spin a spinner with 6 equal spaces numbered 1 through 6. What is the probability that the spinner lands on a 1 or a 6.
Answers
Answer: 1/3 The spaces are equal, and there are 2 favorable outcomes; out of 6 possible outcomes. That comes out to 2/6, and 2/6 reduced is 1/3
A white tailed deer can sprint at speeds up to 30 miles per hour. American Bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5.280 feet in one mile.
Answers
If 12,5 % discounted is offered on a R500,00 pair of shoes ,how much discount will you receive
Answers
Answer: R62,500
Step-by-step explanation:
To find the discount, simply multiply 12.5% (0.125 in decimal form) with 500,000
500,000 x 0.125 = 62,500
Answer:
₹62,50
Step-by-step explanation:
The amount of discount is found by multiplying the discount rate by the amount being discounted.
discount = 0,125 × ₹500,00 = ₹62,50
You will receive a discount of ₹62,50.
_____
Additional comment
Here, a comma is used to separate the units part of the number from the fractional part of the number. This decimal separator is an alternative to the use of a period or centered dot (·) for that purpose.
Circle and Arcs
x + y + z =[ ?]
Answers
MANY POINTS PLEASE HELP!
Answers
Answer:
o 0.5(6+12) ● 3
Step-by-step explanation:
because when you 2x2 is 6 +2 is 12 so the answer is that
Convert 2/3 hours to minutes
Answers
Answer:
Ur ans is 40 minutes.
Step-by-step explanation:
I hope it helps u dear! ^_^
The part of the circle from point A to point B in the diagram represents 1/4 of the way around the circle.
What is the measure of the angle formed by line segment OA and line segment OB?
Answers
Answer:
90
Step-by-step explanation:
Since the sum of a circle is 360, just divide 360 and 1/4.
Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}
Answers
The cardinality of a set refers to the number of elements in the set. It is found by counting the elements in the set.
What is cardinality of a set?The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.
a) There are 6 elements in this set hence the cardinality is 6.
b) There is only one element in the set hence its cardinality is 1.
c) There are two elements in the set hence the cardinality is 2.
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(a) If cos² (34°) - sin² (34°) = cos(A°),then
A =
degree’s
Answers
[tex]~~~~~~~\cos^2 \left(34^{\circ}\right) - \sin^2 \left( 34^{\circ} \right)=\cos A\\\\\implies \cos \left( 2 \cdot 34^{\circ} \right) = \cos A~~~~~~~~~~~~~;[\cos 2x = \cos^2 x -\sin^2 x]\\\\\implies \cos \left(68^{\circ}\right) = \cos A\\\\\implies A = 68^{\circ}[/tex]
Paul bought some notebooks for a total of $295.65. What was his change from $500?
Answers
Answer:
204.35
Step-by-step explanation:
500-295.65+204.35
lanetterisbelle
6 minutes ago
Mathematics
College
Use the following information for Excercise 2-9 through Excercise 2-12 below. (Staic)
Following are the transactions of a new company called Pose-for-pics.
August 1 M. Harris, the owner, invested $6,500 cash and 33,500 of photography equipment in the company.
August 2 The company paid 2,100 cash for an insurance policy covering the next 24 months.
Aust 5 The company purchased supplies for 800 cash.
August 20 The company received 3,331 cash from taking photos for customers.
August 20 The company received 3,331 cash from taking photos for cusotmers.
August 31 The company paid $ 675 cash for August utilities.
Excercise 2-11 ( Static) Analyzing transacctions using accounting equation LO A1
Analyze each transaction above by showing its effects on the accounting equation-specifically, identify the accounts and amounts ( including + or -) Use the following partial chart of accounts: Cash; Supplies; Prepaid Insurance; Equipment; M. Harris, Capital; Services Revenue; and Utilities Expense
Date Assets = Liabilities + Equity
August 1 = +
August 1 = +
August 2 = +
August 2 = +
August 5 = +
August 5 = +
August 20 = +
August 31 Cash (+) increase 6,500 = +
Answers
Each transaction has been an analyzed in the trial balance below by showing its effects on the accounting equation-specifically, identifying the accounts and amounts.
How to prepare a Trial Balance?
The Journal Entries are:
Cash 6500
Photography equipment 33500
Capital 40000
Prepaid Insurance 2100
Cash 2100
Office Supplies 880
Cash 880
Cash 3331
Revenue 3331
Utilities Expense 675
Cash 675
Cash account = 6500 - 2100 - 880 + 3331 - 675
Cash Account = 6176
Trial Balance
Debit Credit
Cash 6176
Prepaid Insurance 2100
Supplies 880
Revenue 3331
Utilities Expense 675
Capital 40000
Photography Equipment 33500
Total 43331 43331
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The table shows values of function f(x). The graph shows the function g(x).
What is the average rate of change of f(x) over the interval from x=2 to x=6?
Find the average rate of change of g(x) over the interval from x=0 to x=4.
What is the difference between the two functions? Which one is moving more quickly? What does it mean to have a negative answer?
Answers
The average rate of change for f(x) and g(x) are respectively 2.25 and -2 and so we can say that f(x) is moving more quickly.
How to find the average rate of Change?
Formula for the average rate of change is;
f'(x) = (f(b) - f(a))/(b - a)
Thus;
1) Average rate of change of f(x) over the interval from x = 2 to x = 6 is;
f'(x) = (f(6) - f(2))/(6 - 2)
We are given;
f(6) = 10 and f(2) = 1
Thus; f'(x) = (10 - 1)/4 = 2.25
2) Average rate of change of g(x) over the interval from x = 0 to x = 4 is;
g'(x) = (g(4) - g(0))/(4 - 0)
We are given;
g(4) = 0 and g(0) = 8
Thus; g'(x) = (0 - 8)/4 = -2
3) From the average rate of change of both functions, we see that f(x) is positive and has a higher rate of change and so we can say that f(x) is moving more quickly.
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the angle of elevation to the top of a cliff is 25 degrees from a boat on the lake. How high is the cliff is 400 feet from the boat??
Answers
If the distance between the cliff and the boat is 400 feet. Then the height of the cliff will be 186.52 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The angle of elevation to the top of a cliff is 25 degrees from a boat on the lake.
If the distance between the cliff and the boat is 400 feet.
Then the height of the cliff will be
Let x be the height of the cliff. Then we have
tan θ = height of cliff/ distance between cliff and boat
tan 25° = x/400
x = 400 tan 25°
x = 186.52 feet
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Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.
Answers
The area of the circle will be equal to 11309.733 square centimetres.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
The area of the circle will be calculated by the following formula:-
Area = πr²
Area = π x ( 60 x 60 )
Area = 3.14 x 60 x 60
Area = 11309.733 square centimeters.
Therefore the area of the circle will be equal to 11309.733 square centimetres.
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Which statement about events A and B is TRUE? A. If P(A | B) = P(B) and P(B | A) = P(A), then the events are dependent. B. If P(A | B) = P(B) and P(B | A) = P(A), then the events are independent. C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent. D. If P(A | B) = P(A) and P(B | A) = P(B), then the events are dependent.
Answers
Using conditional probability, it is found that the correct statement is given by:
C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.If two events are independent, we have that:
[tex]P(A \cap B) = P(A)P(B)[/tex].
Hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)[/tex]
Which means that option C is correct.
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PLEASE HELP ASAP! IM SO CONFUSED THIS IS DUE SOON!! I NEED HELP! QUESTION IN PICTURE BELOW! HELP NEEDED
Answers
Answer:
c
Step-by-step explanation:
I took the test, and that was the correct answer. I hope this helps!
when a number x is added to it's square, the total is 12. find two possible values of x
Answers
Answer:
x=3 or x=−4Step-by-step explanation:
when a number x is added to it's square, the total is 12. find two possible values of x
x+x^2=12
x^2+x=12
x^2+x−12=12−12
x^2+x−12=0
(x−3)(x+4)=0
x−3=0 or x+4=0
x=3 or x=−4
x=3 or x=−4
Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets .
Answers
7•2=14
Peter bought both tickets and the each cost $7 so 7 times 2 would be 14
Answer:
Step-by-step explanation:
the cost of each ticket is 7 dollars. Peter brought 2 tickets. 7 x 2 = 14
Peter spent $14 dollars on two movie tickets.
A bicycle company is designing women's bicycle frames The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company?
Answers
Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 65, \sigma = 3.5[/tex]
The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{54.5 - 65}{3.5}[/tex]
Z = -3
Z = -3 has a p-value of 0.0013.
0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.
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N + M? N = 9.1 7.9 -2.4 0.2 -5.8 1.4 and M= 8.2 -0.6 -2.8 -1.8 -2.4 -6.1
Answers
Answer:
[tex]N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}[/tex]
Then
[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]
What is 10,8,12,10,14?
Answers
Answer:
they are all called numbers
Step-by-step explanation:
Which graph represents the function f(x) = −|x − 2| − 1?
Answers
Answer:
it should be the third one
Step-by-step explanation:
I just learn this all today and I'm pretty sure its the third one
which axis shows the dependent varible
Answers
The axis on a graph that shows the dependent variable is the: vertical or y-axis.
What is the Dependent Variable?The dependent variable is the variable that is affected by an independent variable. That is, a change in the independent variable, causes the dependent variable to change.
On a graph, the dependent variable (outcome) is usually plotted on the y-axis (vertical axis).
Thus, the axis that shows the dependent variable is the vertical or y-axis.
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what is the volume of the solid ?
Answers
Answer:
150.72
Step-by-step explanation:
V = 4/3(pi r squared)
V = 4/3 3.14 (6 squared)
V = 150.72
The diagram below shows a park
district's plans for a new water
playground.
451/2
50 ft
What is the area of the new water
playground in square feet?
PLEASE HURRY
Answers
Answer:
I think it's 2275 square feet
Answer:
it is1125
Step-by-step explanation:
first 45x50=2250
next divide 2250 by 2 equals 1125
Rhonda uses a pan balance and metric weights to measure the masses of two large books.
She recorded the weights that she used in the table below.
Note: 1 kg = 1000 g
1-kilogram
weights 500-gram
weights 100-gram
weights 10-gram
weights
Book A 1 0 7 4
Book B 0 3 1 8
Which book has a greater mass? How many grams greater is it? Use the drop-down menus to complete the sentences below.
Choose...
the book has the greater mass. It is
Choose...
grams greater.
Answers
The book has the greater mass is book A and It is 60 grams greater.
The book with the greater mass?The table of values is given as;
1-kilogram 500-gram 100-gram 10-gram
Book A 1 0 7 4
Book B 0 3 1 8
The weights of the books are calculated as:
Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g
Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g
1740 is greater than 1680 by 60
This means that the book has the greater mass is book A and It is 60 grams greater.
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simplify 321/99 fractions
Answers
Answer:
107/33
Step-by-step explanation:
Solve the following radical equation.
√2x-3 =2
Answers
Answer:
First, we have to add 3 to both sides.
[tex]\sqrt{2x} - 3 + 3 = 2 + 3[/tex]
Then we simplify the equation,
[tex]\sqrt{2x} = 5[/tex]
Divide both sides of the equation by [tex]\sqrt{2}[/tex]
[tex]\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}[/tex]
Finally, simplify.
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
Therefore, our answer is [tex]x = \frac{5\sqrt{2}}{2}[/tex]
3.5
Step-by-step explanation:
square means 1/2.so,1/2(2x-3)=(2)^2
then square cancel by square. 2x-3=4
2x=4+3, 2x=7then divided by 2.
x=3,5
A campaign manager created a survey to see if the candidate could be elected into office. The survey randomly chose 1832 voters and asked them whom they would vote for. Of those surveyed, 953 people responded that they would vote for the candidate. Because there are
87,403 voters in the area, the results mean that 45,466 people would vote for this candidate.
Identify a problem with the study.
Answers
The problem with the study is that Some of the sample data are missing.
What a survey?A survey is a study that aims at obtaining the responses of people based on a questionnaire. The subjects are selected at random in such a way that the sample is representative of the population.
In this study, the problem with the study is that Some of the sample data are missing.
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Answer: D) The results is a precise number