Each prize for a carnival booth costs $0.32. How many prizes can you buy with $96?


Answer 1

Answer: 96 divided by 0.32 is 300, so it's 300.

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5*Please answer this correctly very urgent!



1  3/15 - 5/15

Step-by-step explanation:

Hope this helps. PS the / sign is supposed to be for the fraction.

Step-by-step explanation:

1 1/5 - 1/3 = 0.86

Hope I helped. The only way I know how to dot this is in decimal form sorry.

What is the next number in the sequence. 1,121,12321, 1234321

The next number in the sequence is _____




Step-by-step explanation:

it's a palendrome, made out of a number of numbers in the sqquence.


Choose the correct classification of 5x + 3x4 − 7x3. (5 points)

Third degree polynomial
Fourth degree trinomial
Sixth degree polynomial
First degree binomial



option b

Step-by-step explanation:

fourth degree trinomial

Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then putting a fence across its middle. If each lot is to contain 2,700 square feet, what is the minimum amount of fence (in ft) needed to enclose the lots (include the fence across the middle)



360 feet

Step-by-step explanation:

Area = 2XY = 2 · 2,700 = 5,400

Perimeter = (2 · 2X) + 3Y  = 4X + 3Y

Y = 5,400 / 2X = 2,700 / X

Perimeter = 4X + 8,100/X

P'(x) = 4 - 8,100/X² = 0

4 = 8,100/X²

X² = 8,100 / 4 = 2,025

X = √2,025 = 45

Y = 2,700 / 45 = 60

Perimeter = (4 · 45) + (3 · 60) = 180 + 180 = 360 feet

A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.


Answer: The cost per minute is $0.13 or 13 cents.

Step-by-step explanation:

If it charges $15 for 120 minutes  then to get to one minute we will have to divide it by 120.

so 15/120 =  0.125  which rounds to 0.13 to the nearest cent.


Step-by-step explanation:

Central limit theorem Imagine that you are doing an exhaustive study on the children in all of the elementary schools in your school district. You are particularly interested in how much time children spend doing active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent doing active play on weekends is μ = 87.85, with a standard deviation of σ = 118.1. You select a random sample of 25 children of elementary school age in this same school district. In this sample, you find that the average number of minutes the children spend doing active play on weekends is M = 79.07, with a standard deviation of s = 129.91.The difference between M and 1.1 is due to the :_______



Sampling error

Step-by-step explanation:

The answer is sampling error.

The sampling error occurs when the sample does not represent the full population and the result from the sample is not a representation of the results from full sample.

From information given

Population mean = 87.85

Population standard deviation = 118.1

n = 25

Sample mean = 79.07

Sample standard deviation = 129.91


= 23.62

The standard deviation of the distribution is what is referred to as standard error of m = 23.62

Final answer:

The difference between the population mean and sample mean is likely due to sampling variability, a concept related to the Central Limit Theorem. Given the small sample size in this case, it's not unusual to see this difference.


The difference between the mean of the population (μ) and the mean of the sample (M) is likely attributable to the phenomenon known as sampling variability. This is a concept central to the Central Limit Theorem, which states that when enough random samples are taken from a population, the distribution of the means of these samples will approximate a normal distribution, even if the original population distribution is not normal. The mean of this distribution will be equal to the populating mean, and its standard deviation will be the standard deviation of the population, divided by the square root of the sample size (n).

In this specific case, you've taken a relatively small sample (n=25) from a larger population (N=2,431). Consequently, it is not unexpected that there is some difference between the population mean (μ = 87.85) and the sample mean (M = 79.07). However, as you increase the number of samples you are drawing, according to the Central Limit Theorem, the average of these sample means should converge on the population mean.

Learn more about Central Limit Theorem here: