Haley walked a total of 6 kilometers by making 2 trips to school. How many trips will Haley
have to make in all to walk a total of 18 kilometers? Solve using unit rates.

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.

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]

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.

Answer:

x<-1

Step-by-step explanation:

Answer:

X = -24

Step-by-step explanation:

Using the inverse:

26 + 6 = 32

x = 32 / (-4/3) = -24

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

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.

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

Answer:116.25

Step-by-step explanation:

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

Answer:The 1st one

Step-by-step explanation:

Answer: its the 4th one. even though its not in the picture, i know im correct because im doing the quiz right now

Answer:

Domain: all real numbers

Range: all real numbers

Answer:

i did

Step-by-step explanation:

Answer:1316

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Step-by-step explanation:

(1200-700)/5

=500/5

=

The expression results to 100.

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

#SPJ5

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

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

#SPJ2

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]

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

Answer:

11

Step-by-step explanation:

Answer: length = 4.5 m, width = 3 m

Step-by-step explanation:

When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.

length = 3 * 1.5 = 4.5 m

width = 2 * 1.5 = 3 m

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:

361

Step-by-step explanation:

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

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]

Answer: I hope this is correct -9

Step-by-step explanation: This is right

Answer:

2/3

Step-by-step explanation:

4/6 * 100% = 66.66% = 2/3