Answer:
The bases are not the same.
Step-by-step explanation:
12/3 is not equal to 11/3
Therefore we cannot add the exponents together.
Hope I helped :)
Answer:
(see below)
Step-by-step explanation:
12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:
1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.
2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:
12³ × 11³ = 1728 × 1331
= 2,299,968
(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]
= 1.216649217 × [tex]10^{19}[/tex]
However, (12 × 11)³ would be equivalent to 12³ × 11³.
(12 × 11)³ = (132)³
= 2,299,968
Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Complete Question
The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 9-year period. Assume each year is independent.
Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
Answer:
The probability is [tex]P(X > 2) = 0.0007 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02
The sample size n = 9
Generally the distribution of IRS audit for a tax return follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that a person is not audited at all is mathematically
[tex]P(X = 0) = ^{9}C_0 * (0.02)^0 * (1- 0.02 )^{9-0}[/tex]
[tex]P(X = 0) = ^{9}C_0 * (0.02)^0 * (0.98 )^{9-0}[/tex]
[tex]P(X = 0) = 0.8337[/tex]
Generally the probability that a person is audited once is mathematically
[tex]P(X = 1) = ^{9}C_1 * (0.02)^1 * (1- 0.02 )^{9-1}[/tex]
[tex]P(X = 1) = 9* (0.02)^1 * (0.98 )^{8}[/tex]
[tex]P(X = 1) = 0.1531[/tex]
Generally the probability that a person is audited twice is mathematically represented
[tex]P(X = 2) = ^{9}C_2 * (0.02)^2 * (1- 0.02 )^{9-2}[/tex]
[tex]P(X = 2) = 36 * (0.02)^2 * (0.98 )^{7}[/tex]
[tex]P(X = 2) = 0.0125 [/tex]
Generally the probability that a person is audited more than twice is mathematically represented
[tex]P(X > 2) = 1 - [P(X = 0 ) + P(X = 1 )+ P(X =2)] [/tex]
=> [tex]P(X > 2) = 1 - [0.8337 + 0.1531+0.0125 ] [/tex]
=> [tex]P(X > 2) = 0.0007 [/tex]
solving equations 1/2(x+3)=2/5(x+2)
Answer:
x=-7
Step-by-step explanation:
convert to decimals 0.5(x+3)=0.4(x+2)
simplify the brackets 0.5x+1.5=0.4x+0.8
isolate x to one side 0.1x=-1/7
divide both sides by 0.1 x=-7
What is 12 plus 364 divided by 2/7?
Answer:1316
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
I want explaintation3. Jean purchased 6 yards of felt to make banners. Each banner requires 1 1/2 yards. How many
banners can she make?
A. 2
B. 4
C. 6
D. 9
B.
Explanation:
1.5+1.5=3+1.5= 4.5+1.5= 6
(How much 1.5 is there?) (1.5=1 1/2 btw)
ANSWER FAST PLZ FOR BRAINILIST
Answer:The 1st one
Step-by-step explanation:
What is the common ratio between successive terms in a sequence?
1.5, 1.2,0.96, 0.768, ...
9514 1404 393
Answer:
0.8
Step-by-step explanation:
The ratio of the first two terms is ...
1.2/1.5 = 4/5 = 0.8
That is also the ratio of successive adjacent terms.
0.96/1.2 = 0.768/0.96 = 0.8
The common ratio is 0.8.
PLEASE HELP!!!
Please help me answer the questions that are circled, I really need help!
Answer:
Here:
Step-by-step explanation:
23. f(x) = [tex]\sqrt{x}[/tex] and g(x) = [tex]x^2-5x[/tex]
24. f(x) = [tex]x^2[/tex] and g(x) = [tex]x^3+1[/tex]
28. f(x) = [tex]e^x[/tex] and g(x) = [tex]sinx[/tex]
29. f(x) = [tex]cosx[/tex] and g(x) = [tex]\sqrt{x}[/tex]
Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function = [tex]x^2-5x[/tex]. Same with f(x) = [tex]\sqrt{x}[/tex] . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.
A passenger car will go 372 miles on 15.5 gallons of gas in city driving. What is the rate in miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
The dimensions of a rectangular garden are: Length (2x + 3) and the width is (3x-5) Find the value of x if the perimeter is equal to 26.
length=(2x-3)
width=(3x-5)
perimeter=26
perimeter= (2 times length) + (2 times width)
26= 2(2x-2) + 2(3x-5)
26 = 4x - 6 + 6x - 10
26 = 10x -16
26 + 16 = 10x -16 + 16
10 = 10x
10 ÷ 10 = 10x ÷ 10
1 = x
Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).
What is the probability that a sample proportion of orange candies will be between .35 and .55?
Answer:
The probability is [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is [tex]\mu_{x} = 0.45[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]
=> [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]
=> [tex]\sigma_{x} = 0.0376[/tex]
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
[tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]
=> [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]
Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]
So
[tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]
=> [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]
From the z-table
[tex]P( Z< 2.6595 ) = 0.99609[/tex]
and
[tex]P( Z< - 2.6595 ) = 0.0039128[/tex]
So
[tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]
=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Who got the answer for 3,7 and 9
Answer:
i did
Step-by-step explanation:
help me please I will mark brainlyest
Answer:
B
Step-by-step explanation:
The equation is y=mx+b
Where m is the slope
And B is the y point of the y-intercept
Answer:
The answer is b to this question
Quick I need help pls
Answer:
361
Step-by-step explanation:
The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length
Answer:
11
Step-by-step explanation:
Round 17.68694 to the nearest tenth
Answer:
17.7
Step-by-step explanation:
The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.
HELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
In the diagram below, the expression in each circle is the result of the sum
of the two rectangles connected to it.
Complete the diagram, writing the expressions in their simplified form.
4x + 3y- rectangle
5x + 7y
x + 4y
4x + 5y
2x - y
Answer/Step-by-step explanation:
The circle by your left:
(4x + 3y) + (2x - y)
Distribute +1
4x + 3y + 2x - y
Add like terms together
6x + 2y
The rectangle by at the bottom right:
(4x + 5y) - (x + 4y)
Distribute -1
4x + 5y - x - 4y
Group like terms
4x - x + 5y - 4y
3x + y
The circle at the bottom middle:
(2x - y) + (3x + y)
Distribute +1
2x - y + 3x + y
Group like terms
2x + 3x - y + y
5x
Solve for
-1/7x = -2
Answer: I hope this is correct -9
Step-by-step explanation: This is right
a car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles how many miles will he be charged explain
Answer:
41 miles
Step-by-step explanation:
the company is saying they will round the number of miles, and charge you that number
when rounding 40.8, you round up to 41
1,2,3,4 rounds down to 0
5,6,7,8,9 rounds up to the next 0 up
The required miles he will be charged for is 41 miles.
Given that,
A car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles
To determine how many miles will he be charged.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
The customer traveled for 40.8 miles,
Now round it to the nearest whole miles, Since 40.8 where 0.8 is 0.2 near to the 1 so the round of 40.8 become 40.8 + 0.2 = 41
Thus, The required miles he will be charged for is 41 miles.
Learn more about round the decimal here;
brainly.com/question/867784
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Solve the following inequality 4(3-3x)+4x>20
Answer:
x<-1
Step-by-step explanation:
for each heart there are 2 stars which model shows this relationship
Answer: its the 4th one. even though its not in the picture, i know im correct because im doing the quiz right now
Katie has 50 chickens she eats 90% how many chickens are left?
Answer:
First off dang Katie you can eat. And the answer is 5
Step-by-step explanation:
She just gobbling them up like no tommrow
What is the value of x in the equation below? 1/3(12x-24)=16
2
6
8
10
The price of a train ticket is 155.00 What would it be if you had a 75% discount
Answer:116.25
Step-by-step explanation:
what is the increase of y=26(0.904)x
The total cost of a cab ride can be represented by the function f(x) = 3x + 2.5, where x is the number of miles driven
Estimate how much the cab will cost if the cab ride is 8 miles and 25 miles.
Answer:
8 miles: $26.50
25miles: $77.50
Step-by-step explanation:
Substitute (x) for the number of miles
8 miles: f(x)=3(8)+2.50
=24+2.50
=26.50
25miles: f(x)=3(25)+2.50
=75+2.50
=77.50
2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:
Answer:
The answer to your question is:
Step-by-step explanation:
Data
A (8, 9)
B (-2, 4)
1. What is the slope of the line? Show your work
m = (y2 - y1) / (x2 - x1)
m = (4 - 9) / (-2 - 8)
m = -5 / - 10
m = 1/2
2. Write the equation of the line in point-slope form. Show your work
(y - y1) = m(x -x1)
(y - 9) = 1/2(x - 8)
3. Write the equation of the line in slope-intercept form.
(y - 9) = 1/2(x - 8)
y - 9 = 1/2x - 4
y = 1/2x - 4 + 9
y = 1/2x + 5
This work was done by joseaaronlara
What is the domain and range of the function Y=2x-4
Answer:
Domain: all real numbers
Range: all real numbers
L=10 inches and A=40 square inches, solve A=lw
Answer:
w=4
Step-by-step explanation:
[tex]A=lw[/tex]
[tex]40= (10)w[/tex]
[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]
Expression for divide the difference between 1200 and 700 by 5
Step-by-step explanation:
(1200-700)/5
=500/5
=
The expression results to 100.
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
divide the difference between 1200 and 700 by 5
so, mathematically
(1200- 700)/5
= 500 /5
= 100
Hence, the expression results to 100.
Learn more about expression here:
https://brainly.com/question/14083225
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