As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for a total amount of €210. What were the total savings mode? Work out the average savings per person
Answers
Answer:
Step-by-step explanation:
Given
Solving (a) Total Savings Mode
Solving (b): Savings per person
Since, there are 3 individuals involved;
Answer:
a = €90
b = £30
Step-by-step explanation:
They had a discount of 30% means that they paid 70%.
100% (total percentage ) - 30%( discounted for them) = 70% ( meaning they paid for 70% instead of 100%).
To find the total saving made, we need to know the total cost without the promo and substract from the 70% payment made.
70% payment made = €210.
1% = [210/70 = €3].
if 1% = €3, then 100% willl be €300.
100% the gym offers = €300.
Total saving made = total cost the gym offers - the 70% payment made.
€300 - €210 = €90.
If you want to be sure. 30% of €300 = 90.
meaning that they had a discount of €90.
If they paid €210 + €90 = €300.
b) The avearge saving per person?
Remember the question said Patty and 2 siblings, suggest they are 3 people in the picture.
If the 3 saved €90,
averge of one person:
90/3 = €30
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Answers
Based on the amount that Adrian spent in total, the cost without taxes was $86.50.
The cost of the clothes was $93.42 including tax.
Assuming the original cost is x, the equation is:
Total cost = Original cost x ( 1 + tax)
Solving would give:
93.42 = x × (1 + 8%)
93.42 = 1.08x
x = 93.42 / 1.08
= $86.50
In conclusion, the cost without taxes was $86.50.
Find out more at brainly.com/question/17836987.
Answer:
85.95
Step-by-step explanation:
If the local tax was 8% and we want to know what is was without the tax then we need to do 93.42 times .92
Since money only goes to the hundredths place we need to round there
Answers
ASA we need a second angle that is next to the side
SAS we need a side next to the angle
Choice B
Enter your answer in the box.
Answers
Hey, this is worked out the same way as the last problem you posted!
Remember that constant of proportionality is slope...
(y2-y1) ÷ (x2 -x1)
↓
(225 - 135) ÷ (5 - 3)
↓
90 ÷ 2
↓
45
The constant of proportionality is 45
Answers
Answer:
1.80 * 10^19
Step-by-step explanation:
If he has narrowed down his choices to 14blues, 25 country and 21 disco songs and he has to make a list of 12 songs with equal representation of each genre of song, the it means there will be 4 songs from each genre of music.
We select this 4 different songs using the combination formula for selection and multiply our results.
This means we have:
12C4 for blues,
25C4 for country
21C4 for disco.
This gives:
=12C4 * 25C4 * 21C4
= 495 * 12650 * 5985
And the order they can be played = 12!.
We then multiply the number of ways to get these songs by the order they can come in.
That is:
=495 * 12650 * 5985 * 12!
= 1.7951 * 10^19
= 1.80 * 10^19 (nearest hundredth).
Final answer:
DJ Davon can make approximately 3.57 x 10^21 different playlists, if he includes an equal number of blues, country, and disco songs. This calculation utilizes combination and permutation formulas.
Explanation:
DJ Davon wants to play an equal number of blues, country, and disco songs, which means he will play 4 songs from each genre. The number of ways to select 4 songs out of each genre is represented by the combination formula C(n,r) = n! / [r!(n-r)!].
So, for each genre, the number of ways to select 4 songs is:
Blues: C(14,4) = 1001
Country: C(25,4) = 12,650
Disco: C(21,4) = 5985.
After the songs are selected, the order of the playlist matters, so we use the permutation formula. Given 12 slots for the songs, the number of ways to order them is P(n) = n!, which for 12 is 479,001,600. The total number of different playlists is product of blues, country and disco song combinations and the permutations, which gives 3.57 x 10^21. This rounded to the hundredths place in scientific notation is 3.57 x 10^21.
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2√x+4-2=3
Answers
- add 2 to both sides
2/x+4=5
- subtract 4 from both sides
2/x=1
- divide both sides by 2
/x= 1/2
- square both sides
x = 1/4
Answers
Answer:
2/9
Step-by-step explanation:
The Poisson’s distribution is a discrete probability distribution. A discrete probability distribution means that the events occur with a constant mean rate and independently of each other. It is used to signify the chance (probability) of a given number of events occurring in a fixed interval of time or space.
In the long run, fraction of time that it rains = E(Number of days in rainy spell) / {E(Number of days in a rainy spell) + E(Number of days in a dry spell)}
E(Number of days in rainy spell) = 2
E(Number of days in a dry spell) = 7
In the long run, fraction of time that it rains = 2/(2 + 7) = 2/9
Final answer:
Given the parameters of the rainy spell and dry spell, the long-run fraction of time that it rains can be calculated by dividing the mean of the rainy days by the sum of the average rainy and dry days. Hence, it rains roughly 22.22% of the time in the long-term.
Explanation:
The question is asking about the long-run fraction of time that it rains, based on a rainy spell following a Poisson distribution with a mean of 2 days, and a dry spell following a geometric distribution with an average of 7 days, with the sequences being independent.
We are being asked to calculate the proportion of time that it rains in the long-run, given these distribution parameters. The Poisson and geometric distributions are often used in this type of probability assessment.
To tackle this, we need to divide the mean of the rainy days by the sum of the average rainy and dry days. Thus, the long-run fraction of time it rains is given by
So, in the long run, it rains roughly 22.22% (or 2/9) of the time.
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