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artcher [175]
2 years ago
6

Part A: Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625

.
Write an equation in the standard form to represent the total rent (y) that Max has to pay for renting the motorbike for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

If someone answers this then they are the greatest person ever.
Mathematics
1 answer:
ser-zykov [4K]2 years ago
4 0
(5,465)(7,625)
slope(m) = (625 - 465) / (7 - 5) = 160/2 = 80

y = mx + b
slope(m) = 80
use either of ur points (5,465)...x = 5 and y = 465
now we sub and find b, the y int
465 = 80(5) + b
465 = 400 + b
465 - 400 = b
65 = b

equation is : y = 80x + 65...but we need it in standard form
y = 80x + 65
-80x + y = 65...multiply by -1 to make x positive
80x - y = -65 <== standard form
========================
function notation.....f(x) is the same as y

so y = 80x + 65 in function notation becomes f(x) = 80x + 65
=======================
x axis will be days rented
y axis will be total cost

to graph :
y = 80x + 65.....the slope here is 80...the y int is (0,65)

to find the x int, sub in 0 for y and solve for x
0 = 80x + 65
-80x = 65
x = - 65/80 = - 13/16....so ur x int is (-13/16,0)

and if u need to find more points on ur line....
80x - y = -65....sub in any number for x, and solve for y
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the number is 53611

Step-by-step explanation:

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1 year ago
Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
2 years ago
Graph the linear function.<br> f(x) = -2<br> HELP PLEASE!!
Oliga [24]
Need a picture to answer
5 0
3 years ago
Suppose that 13 inches of wire costs 52 cents. At the same rate, how many inches of wire can be bought for 32 cents?
kirill115 [55]

Answer:

So we have a ratio which you have specified 13:52. So we just need to get the same ratio for 13. 32/52 is how we get 32 from multiplying by 52. So now we just need to multiply it for 13 also'

13*32/52 = 8. Therefore the answer to this is 8

<h2 /><h2><u>8 is answer</u></h2>
8 0
2 years ago
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Archy [21]

Answer:

2\frac{1}{2}\ liters

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}

step 2

Using proportion

\frac{3}{(6/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=3/(6/5)\\ \\x=15/6\ liters

step 3

Convert to mixed number

\frac{15}{6}\ liters=\frac{12}{6}+\frac{3}{6}=2\frac{1}{2}\ liters

8 0
3 years ago
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