Consequently, the equation determining the remaining number of rooms Martin has to clean after
hours can be represented as: 
, in which 
indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms 
, indicates the quantity after 
hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as
(Answer)
.
Sample Answer: To determine the difference between 10 and 13, you apply the concept of additive inverses. Juan is lacking $3 to buy his supplies.
Answer:
45 mph
Step-by-step explanation:
Calculate the unit rate (i.e., speed):
6 mi 60 min
--------- * ------------- = (3/4)(60) mph = 45 mph
8 min 1 hr
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is defined as a symmetric "probability distribution centered around the mean, indicating that values near the mean are more common than those further away".
The Z-score measures a value's relation to the mean of a set of values, displayed in terms of how many standard deviations away it is from that mean.
According to the central limit theorem, "with a population having mean μ and standard deviation σ, if we draw sufficient random samples from this population with replacement, the means of those samples will resemble a normal distribution, regardless of the original population's shape, as long as the sample size is large enough".
Solution to the problem
In this scenario, we select a sample size of n = 100
The central limit theorem informs us that the distribution of the sample mean 
is defined by:
Thus, the mean for the sample would be:
And the standard deviation would be:
Answer: The least amount spent amounts to £12.92 Step-by-step explanation: Given Number of Cartons = 38 A carton costs 45 pence 4 cartons cost £1.56 In order to minimize expenses, one must opt for the cheaper choice. Since there are 100 pence in £1, this means that £1.36 is equivalent to x pence, where x * 1 = 1.36 * 100, leading to x = 136 pence for four cartons. To find the cost of a single carton, divide x by 4; thus, x/4 = 136p/4, resulting in x/4 = 34 pence. This indicates that a carton of juice can be purchased at 34 pence and 45 pence, with 34 pence being the better deal. Therefore, the total expenditure equals 34 * 38, which converts to 1292p and subsequently to £12.92.
