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3 years ago

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A map of a highway has a scale of 2 inches=45 miles. The length of the highway on the map is 9 inches. There are 7 rest stops e

qually spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch=30 miles. How far apart are the rest stops on the new map?

1 answer:

Sedaia [141]3 years ago

6 0

Answer:

25.7 miles apart

Step-by-step explanation:

this may not be right, if its not im sory

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The results for a survey of 130 students who were selected randomly are listed below:

Aneli [31]

Answer:

A) 210

Step-by-step explanation:

The percentage of students who have a cell phone plan with company x is student with plan x over total.The total is 130

P(x) = 70/130

The number of students with cell phone company x is found by multiplying the total number of students times the percentage of students with company x

Students with company x = total * P(x)

= 390 * 70/130

= 210

7 0

4 years ago

Read 2 more answers

What is 9 + 10?<br> A. 21<br> B. 19<br> C. 12<br> D. 16

MAXImum [283]

19

$\mathtt \red{Hope \: it \: helps \: uhh..}$

4 0

3 years ago

Read 2 more answers

Which pair of funtions is not a pair of inverse functions? please help!!

antiseptic1488 [7]

Answer:

$f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Step-by-step explanation:

we know that

To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.

we will proceed to verify each case to determine the solution of the problem

<u>case A)</u> $f(x)=\frac{x+1}{6} , g(x)=6x-1$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y+1}{6}$

Isolate the variable y

$6x=y+1$

$y=6x-1$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=6x-1$

therefore

f(x) and g(x) are inverse functions

<u>case B)</u> $f(x)=\frac{x-4}{19} , g(x)=19x+4$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y-4}{19}$

Isolate the variable y

$19x=y-4$

$y=19x+4$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=19x+4$

therefore

f(x) and g(x) are inverse functions

<u>case C)</u> $f(x)=x^{5}, g(x)=\sqrt[5]{x}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=y^{5}$

Isolate the variable y

fifth root both members

$y=\sqrt[5]{x}$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=\sqrt[5]{x}$

therefore

f(x) and g(x) are inverse functions

<u>case D)</u> $f(x)=\frac{x}{x+20} , g(x)=\frac{20x}{x-1}$

Find the inverse of f(x)

Let

y=f(x)

Exchange variables x for y and y for x

$x=\frac{y}{y+20}$

Isolate the variable y

$x(y+20)=y$

$xy+20x=y$

$y-xy=20x$

$y(1-x)=20x$

$y=20x/(1-x)$

Let

$f^{-1}(x)=y$

$f^{-1}(x)=20x/(1-x)$

$\frac{20x}{1-x}\neq \frac{20x}{x-1}$

therefore

f(x) and g(x) is not a pair of inverse functions

7 0

3 years ago

Read 2 more answers

The ratio of destroyers to battleships in the navy is 20:15. If the total number of boats is 105, how many battleships are there

Elina [12.6K]

Answer:

45

Step-by-step explanation:

20:15 the ratio can be turned to a fraction

20/15

simplify

4/3

so now add the numerator and the denominator and get 7

then do 105/7=15

and then you do

4x15=60 (Destroyers)

3x15=45 (Battleships)

45 is your answer

7 0

3 years ago

Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is .2%. S

Grace [21]

Answer:

calculate P(X=1) + P(X=2) +...+ P(X=12) using the binomial formula or an individual table in excel

calculate the P(X ≥ 12) using the binomial formula or a cumulative table in excel

Step-by-step explanation:

For a binomial distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = number of trials = 12 ; x = number of successes

p = probability of success = 0.2% = 0.002

1 - p = 1 - 0.002 = 0.998

Probability that atleast 1 is broken ;

p(1) + p(2) + p(3) +... + p(12) ;

This can be calculated by summing the values obtained using the binomial formula or in excel.

Alternatively, using the binomial formular or excel, the cumulative probability could be obtained as P(x ≥ 1)

5 0

3 years ago