Arthur has been challenged to donate $50,000. He decides to donate exactly 50% of the money every day until less than $1 remains. Write a function that would represent this situation.

Answer:

Step-by-step explanation:

I chose the first one. To compare the two products and find the better buy, let's find the cost of 1 ounce of cereal in each box. The unit rate for the left box will be $2.15 / 14 = $0.15 per ounce. The unit rate for the right box will be $3.40 / 20 = $0.17 per ounce. Because 0.15 < 0.17, the box on the left is the better buy. Hope this helps!

Answer:

2.15/14=0.153

3.4/20=0.17

Option A. is better because the price is smaller

4.50/3=1.5

5.96/4=1.49

option b is better

2.41/4=0.6025

1.8/2=0.9

option b is better

Step-by-step explanation:

Step-by-step explanation:

Growth in population each year = 3%(1500)

= 3/100 × 1500

= 3 × 15

= 45

Therefore, the growth in population in 6 years

= 6 × 3%(1500)

= 6 × 45

= 270

Hence, the population after 6 years = 1500 + 270

= 1770

Answer:

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.

The possible values for the sum are:

2 + 1 = 3

2 + 3 = 5

2 + 5 = 7

3 + 1 = 4

3 + 3 = 6

3 + 5 = 8

4 + 1 = 5

4 + 3 = 7

4 + 5 = 9

Find the probability that the sum of the two numbers is greater than 3 but less than 7?

​4 of the 9 sums are greater than 3 but less than 7. So

0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.

Answer:

200 sheep legs and 2 farmer legs, or 202 legs in total.

Step-by-step explanation:

One sheep has 4 legs. and there are 50 sheep. So, we have to multiply 50*4 to get 200. Then, we have to add the two legs the farmer has. 200 + 2 = 202. Therefore, there are 202 legs on the farm.

Answer:

a) Nothing, beause the distribution of the monthly rental prices are not normal.

b) 1.43% probability that the sample mean rent price will be greater than $900

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation

(a) Suppose a one-bedroom rental listing in this large city is selected at random. What can be said about the probability that the listed rent price will be at least $930?

Nothing, beause the distribution of the monthly rental prices are not normal.

(b) Suppose a random sample 30 one-bedroom rental listing in this large city will be selected, the rent price will be recorded for each listing, and the sample mean rent price will be computed. What can be said about the probability that the sample mean rent price will be greater than $900?

Now we can apply the Central Limit Theorem.

This probability is 1 subtracted by the pvalue of Z when X = 900.

By the Central Limit Theorem

has a pvalue of 0.9857

1 - 0.9857 = 0.0143

1.43% probability that the sample mean rent price will be greater than $900