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3 years ago

One month Mai rented

1 answer:

7 0

The first thing we must do for this case is to define variables:
x = rental cost of movies
y = rental cost of video games
We write the system of equations:
6x + 2y = 36
3x + 5y = 39
Resolving we have:
x = 4.25 $
y = 5.25 $
Answer:
The rental cost for each movie and each video game is:
movies = 4.25 $
video games = 5.25 $

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What is the common difference in the sequence 8, 16, 24, 32.....?

Sergio039 [100]

To find the common difference in the sequence 8, 16, 24, 32.... we must find what the difference between two consecutive terms is. A simple way to do this is to find the difference between the first term and the second term. That means that we have to do the second term - the first term. That means we do 16 - 8 which gives us that the common difference is 8.

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3 years ago

Read 2 more answers

Assume that a procedure yields a geometric distribution where the probability of success is 19%. Use the geometric probability f

Rudiy27

The probability that the first success occurs on the third trial is 0.125.

Answer: Option C

<u>Step-by-step explanation:</u>

The probability of success is given by the geometric distribution formula:

$P(X=x)=p \times q^{x-1}$

Where,

p = probability of success for single trial.

q = probability of failure for a single trial (1-p)

x = the number of failures before a success.

P(X = x) = Probability of x successes in n trials.

<u>Given: </u>

p = 19% = 0.19

q = 1 – p = 1 – 0.19 = 0.81

x = 3

We want to find the probability that the first success occurs on the third trial so,

$P(X=3)=0.19 \times 0.81^{(3-1)}$

$P(X=3)=0.19 \times 0.81^{2}$

$P(X=3)=0.19 \times 0.6561=0.125$

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4 years ago

What is the exact volume of the cylinder?

Romashka-Z-Leto [24]

Π r² h
A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r². Learn how to use these formulas to solve an example problem.

Hope it helps and pls mark brainlest

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3 years ago

Josh reads 8 1/4 chapters in 5 1/2 hours what is the unit rate in chapters per hour

chubhunter [2.5K]

Answer:

The answer is 3/2

Step-by-step explanation:

or 1.5 in decimal

or 1 1/2 simplified

4 0

4 years ago

Every week I buy four 2-litre bottles of lemonade whilst shopping at my local supermarket. Last week the bottles on the shelf we

Mumz [18]

Answer:

40%

Step-by-step explanation:

Every week you he buys 4 number of 2 Litres bottle of lemonade.

Thus, let's say cost of each bottle is X.

This means he total cost is 4X

Now, total litres = 4 × 2 = 8 litres

Thus, cost per litre = 4X/8 = ½X

Now, we are told that Last week the bottles on the shelf were limited edition “2.5 litres for the price of 2 litres” bottles ".

This means that now, it is cheaper.

However, the supermarket also had a “buy 3 bottles, get another one free” offer.

Now since he buys 8 litres weekly, now since it's 2.5 L bottle, he will buy 3 since he will be given 1 free for every 3 he buys.

Thus, total litres he is paying for = 2.5 × 3 = 7.5 litres

Thus, cost per bottle is; 3X

Since he is getting 1 bottle free, then total bottle he gets is; 7.5 L + 2.5 L = 10L

Thus;

cost per litre is now; 3X/10

Difference in costs per litre is;

½X - 3X/10 = X/5

percentage of the cost of four bottles of lemonade lower than usual last week = (X/5)/(½X) × 100% = 2/5 × 100% = 40%

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4 years ago