Answer:
A) 0.00686
B) 0.01673
C) 0.99587
Step-by-step explanation:
For this question, we are interested in the first success and we will Thus make use of geometric probability distribution.
It goes by the formula;
P(x) = [(1 - p)^(x - 1)]p
We are told that One out of every 119 tax returns that a tax auditor examines requires an audit.
Thus; p = 1/119 = 0.0084
A) Probability that the first return requiring an audit is the 25th return the tax auditor examines is given by;
P(25) = [(1 - 0.0084)^(25 - 1)]0.0084
P(25) = 0.00686
B) Probability the first requiring an audit is the first or second return the tax auditor examines, is;
P(1 or 2) = P(1) + P(2)
P(1) = [(1 - 0.0084)^(1 - 1)]0.0084
P(1) = 0.0084
P(2) = [(1 - 0.0084)^(2 - 1)]0.0084
P(2) = 0.00833
Thus;
P(1 or 2) = 0.0084 + 0.00833
P(1 or 2) = 0.01673
C) Probability that none of the first five returns the tax auditor examines require an audit is given by;
P(X > 5) = 1 - P(X ≤ 5)
Now,
P(X ≤ 5) is expressed as;
P(X ≤ 5) = P(1) + P(2) + P(3) + P(4) + P(5)
We know P(1) & P(2) already. Let's find P(3), P(4) and P(5)
P(3) = [(1 - 0.0084)^(3 - 1)]0.0084
P(3) = 0.00826
P(4) = [(1 - 0.0084)^(4 - 1)]0.0084
P(4) = 0.00819
P(5) = [(1 - 0.0084)^(5 - 1)]0.0084
P(5) = 0.00812
P(X ≤ 5) = 0.0084 + 0.00833 + 0.00826 + 0.00819 + 0.00812
P(X ≤ 5) = 0.00413
P(X > 5) = 1 - 0.00413
P(X > 5) = 0.99587
Convert to a fraction and simplify: 0.435
Answer:
87/200
Step-by-step explanation:
0.435 simplified fraction:
Move the numbers to the right of the decimal above 1000:
87/200(simplified)
Hope you learned from this answer!
find the slope of the tangent line for the function f(x)=x^2+4x-3 at the point (1,2)
Answer:
m = 6
Step-by-step explanation:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
f(x) = x² + 4x - 3
Point (1, 2)
Step 2: Find slope of tangent line
Find derivative of f(x): f'(x) = 2x + 4Plug in x coordinate into derivative to find slope: f(1) = 2(1) + 4 = 6Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10.
I hope I am right.
Diane baked 24 cookies with 2 scoops of flour. How many scoops of flour does Diane need in order to bake 36 cookies? Assume the relationship is directly proportional.
Answer:
3 scoops of flour
Step-by-step explanation:
Three scoops of flour because 24/2 is 12 so for every 12 cookies she needs 1 scoop of flour. With this information we can get 3 scoops as our answer. I hope this helps!
Solve for x
3x - 2 (x - 4) = 5 (2x + 1 )
Answer:
yes
Step-by-step explanation:
Answer:
3x–2x+8 = 10x+5
=> x + 8 = 10x + 5
=> 8 – 5 = 10x – x
=> 9x = 3
=> x = 3/9
=> x = 1/3
35 multiple by 2/7.
Answer:
the answer is 10
Step-by-step explanation:
Municipal Golf Course has a membership fee of $120 a year plus $10 a round. Lafayette Golf Course has a membership fee of $80 a year plus $15 a round.
Type in the numbers and expressions that will complete the sentences.
The expression
represents the annual cost of a member golfing at Municipal Golf Course.
The expression
represents the annual cost of a member golfing at Lafayette Golf Course.
The cost of these two plans are equal when
rounds of golf are played in a year.
Answer: Lafayette Golf Course has a membership fee of $80 a year plus $15 ... Municipal Golf Course has a membership fee of $120 a year plus $10 a round. ... represents the annual cost of a member golfing at Lafayette Golf Course.
Step-by-step explanation: I rote this answer fist someone copied me.
List the factor pairs of the number 14 can y’all give me all the answers? Plz :(
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
14 -> 1 ,2 ,7 , & 14
Factor of 14
.!.$.!.!.’!!.!!.!.!need help
oml! ill try give me a min tho
Answer:
8.) x×6=y
Step-by-step explanation:
1×6=6
2×6=12
4×6=24
5×6=30
25×6=150
For each of the others, multiply the value of x times the CoP for the y value and divide the value of y by the CoP to get the x value. I've attached the work for number 9.
What are two equivalent ratios to 2:7?
Answer:
Well, to find this, we'd need to multiply something by 2 and that same somehting by 7
Here's one:
2*2= 4
2*7=14
4:14
Here's another one:
2*3=6
7*3=21
6:21
You can keep going up like this but you asked for two so I'm gonna save you the reading time.
Brainliest would be very appreciatedto help me level up
Have a great day!
Answer:
10:35 and 14:49
Step-by-step explanation:
2x5=10.
7x5=35.
10:352x7=14.
7x7=49.
14:49What is the equation of the line that passes through the point (-2,-2) and has a
slope of 4?
Answer:
y=4x+6
Step-by-step explanation:
To find the equation of a line, use y=mx+b form. In this case, we need to find b and then find known values. When the line passes through the point (-2, -2) and has a slope of 4, we use the form to find the equation, and we will get y=4x+6.
please help this is all my points
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Hope this helps :)
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
1 is added to a number.
Answer: x+1
a number = x + 1
What’s the answer to x + 1/2=x-1/2
Answer:
Hi there
Your answer is
No solution
Step-by-step explanation:
x+1/2 = x-1/2
-x
1/2 = -1/2
this is NO SOLUTION
Pls hurry due at midnight‼️
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000
and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and
Anita to make the same amount of money?
A. 1.75
B. 121
C. 7
D. 30.25
Answer:
the answer is c
Step-by-step explanation:
hope this helpss!!
Answer:
7
Step-by-step explanation:
57000+2500x=64000+1500x
subtract 1500x from both sides
57000+1000x=64000
subtract 57000 from both sides
1000x=7000
divide both sides by 1000
x=7
Help!!! It’s for a class
Answer:
[tex]m=\frac{e}{c^{2} }[/tex]
Step-by-step explanation:
[tex]e=mc^{2}[/tex]
[tex]m=\frac{e}{c^{2} }[/tex]
I don't know how to explain this but here you go.
Answer:
m refers to the invariant mass
Step-by-step explanation:
how far is the point (5,2) from the x axis
Answer:
B 5 units
Step-by-step explanation:
Answer:
5 left (b)
Step-by-step explanation:
the x-axis the bottom axis and it starts at 0 and -5 is 5 from 0
A student saves money to buy a laptop. The student already has 307.50 saved and puts aside $100 each month to help pay for the laptop. After 5 months, the total amount saved is 75% of the total cost of the laptop. How much more does the student need to save to buy the laptop rounded to the nearest cent.
Answer:
The amount the student needs to save is approximately $269.167
Step-by-step explanation:
The amount the student already has saved for his laptop = $307.50
The amount the student puts aside each month to pay for the laptop = $100
The total amount saved after 5 months = 75% of the total cost of the laptop
Therefore, we have;
The total amount the student has after 5 months = $307.5 + 5 × $100 = $807.5
The total amount saved after 5 months = 75% of the total cost of the laptop
Therefore;
$807.5 = 75% of the total cost of the laptop
The total cost of the laptop = $807.5/75% = $807.5/75 × 100 = [tex]\$ \ 1076\frac{2}{3}[/tex]
The total cost of the laptop ≈ $1076.67
Therefore;
The amount the student needs to save = $1076.67 - $807.5 = [tex]\$ \ 269\frac{1}{6}[/tex]
The amount the student needs to save ≈ $269.167.
Which numbers are between the numbers represented by Points A and B on the number line? Check all that apply. A number line going from negative 1 to 0. Point A is at negative 0.8. Point B is at negative 0.2. Negative StartFraction 7 Over 10 EndFraction Negative StartFraction 9 Over 10 EndFraction Negative one-half Negative one-fourth Negative two-fifths
Answer:
a,c,d,e
Step-by-step explanation:
The points A = -0.8, B = -0.2, C = -0.7, D = -0.9, E = -0.5, F = -0.25, and G = -0.4 lie between -1 and 0 on the number line.
What is the number?An arithmetic value used to indicate an amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers.
Given:
A number line going from negative 1 to 0,
the number Point A = -0.8, B = -0.2, C = -7 / 10, D = -9 / 10, E = -1 / 2, F = -1 / 4, and G = -2 / 5
Convert all the points in decimal form as shown below,
C = -7 / 10 = -0.7
D = -9 / 10 = -0.9
E = -1 / 2 = -0.5
F = -1 / 4 = -0.25
G = -2 / 5 = -0.4
As you can see that the numbers lying between -1 and 0,
Thus, all points lie on the number line between -1 and 0.
To know more about numbers:
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Determine the measure of ABC
125
50°
The measure of ABC is
degrees
Answer:
90 degrees
Step-by-step explanation:
angle ABC is a right angle
<1 and <2 are vertical angles.
<3 and <4 are vertical angles.
<1=<3
Answer:
gdggsedfgnxshkvfvjk
Step-by-step explanation:
347534578065656766665
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
The graph of g(x) is the graph of f(x) translated 5 units up.
The graph of g(x) is the graph of f(x) translated 5 units right.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
Recall that y = f(x) since both are outputs of a function
Saying f(x)+5 is the same as y+5. So we're adding 5 to each y coordinate of each (x,y) point. A point like (1,7) turns into (1,12) after doing this shifting.
Doing this to every point shifts the entire f(x) curve 5 units up to get g(x)
HELP - In baseball's home run hall of fame, Hang Aaron has 181 fewer than twice the number of home runs than that of Chipper Jones. Hank Aaron hit 755 home runs. How many home runs did Chipper Jones hit?
Answer:
Wait is this melody Montejano from tustin high ?
Using the function g(x) = 175 + 85x, find
g(7).
Answer:
g
Step-by-step explanation:
gg
The value of the function g(7) will be 770.
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 function is g(x) = 175 + 85x. The value of the function at x =7 will be calculated as,
g(x) = 175 + 85x
g(7) = 175 + ( 85 x 7 )
g(7) = 175 + 595
g(7) = 770
Hence, the value of the function will be 770.
To know more about an expression follow
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6th grade math question.
Answer:
(2, 0) for the second one
Step-by-step explanation:
Tony is solving the equation 4x = 12x + 20 for x. Tony uses the multiplicative property of equality to rewrite the equation as x = 3x + 20. Which statement correctly explains whether Tony used
the property correctly?
Answer:
Tony just simplified the equation by 2 (÷2 or ×0.2)
Step-by-step explanation:
(4) Abdi has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Train A returns to its starting point every 12 seconds. Train B returns to its starting point every 9 seconds. If the trains continue traveling, what is the least amount of time, in seconds, that both trains will arrive at the starting points at the same time?
Answer:
The least amount of time both trains will arrive at the starting points at the same time is 36 seconds.
Step-by-step explanation:
From the question, Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds.
First, we will determine the times the trains will return to the their starting points.
For Train A,
The second time Train A will return to its starting point will be at 24 seconds,
The third time will be at 36 seconds
The fourth time will be at 48 seconds and so on.
For Train B,
The second time Train B will return to its starting point will be at 18 seconds,
The third time will be at 27 seconds
The forth time will be at 36 seconds and so on.
Since both trains arrive at their starting points at 36 seconds,
Hence, the least amount of time both trains will arrive at the starting points at the same time is 36 seconds.
Function g is defined as g(x)=kf(x). What is the value of k?
Pick an x value like x = 2
Note that f(2) = 1 and g(2) = 2. This shows we've doubled the f(x) value to get g(x). Therefore k = 2.
Or you could pick on x = 4 to see f(4) = 2 and g(4) = 4. The output of f(x) has been doubled as well.
It doesn't matter what x is since we'll have this doubling effect go on. I recommend picking x values where the points on the blue graph land perfectly on a grid location. Something like x = 5 seems a bit tricky.
Answer:
K = 2
Step-by-step explanation:
I just took a test with this question on it and got it right.
Hope this helps! :)
Which set of numbers do not contain zero?
Whole number, Natural Number, Integer, Or Rational.
Answer:
integers and rational
Step-by-step explanation:
it's because integers are only negative and rational are only fractions or decimals
Hope this helps!
please help me out :(
Answer:
1.7×10‐⁵
mark brainlist
Answer:
1.7 * 10^-5
(c)
Step-by-step explanation: Im sure this is right