Answer:
19.77% of average city temperatures are higher than that of Cairo
Step-by-step explanation:
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.
In this question, we have that:
What percentage of average city temperatures are higher than that of Cairo?
This is 1 subtracted by the pvalue of Z when X = 21.4.
has a pvalue of 0.8023
1 - 0.8023 = 0.1977
19.77% of average city temperatures are higher than that of Cairo
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 2^2) / 4
A = (pi x 4) / 4
A = 4pi / 4
A = 1pi = 3.14 square miles
Hope this helps! :)
£7200
In first year depreciates by 20%, that is it is worth 80% of it's original value
80% = 
= 0.8
value after 1 year = 0.8 × £10000 = £8000
In the second year it depreciates by 10% of it's value, that is it is worth 90% of it's value at the end of the first year.
90% = 
= 0.9
value after 2 years = 0.9 × £8000 = £7200
Solution :
Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.
There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.
In the context, the sampling methods for each of the descriptions are :
a). The researcher use computer program to randomly choose a sample of 30 mice of the 1000 mice for using her study
--- Simple Random
b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room
--- Convenience sampling
c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.
---- Stratified sampling
d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study
----- Cluster sampling
e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.
---- Systematic sampling
A) 3, 5, 6
c squared = a squared + b squared
6 squared = 5 squared + 3 squared
36 = 25 + 9
36 ≠ 34 (not a right triangle)
b) 13, 12, 5
c squared = a squared + b squared
13 squared = 12 squared + 5 squared
169 = 144 + 25
169 = 169 (is a right triangle)
c) 17, 15, 9
c squared = a squared + b squared
17 squared = 15 squared + 9 squared
289 = 225 + 81
289 ≠ 306 (not a right triangle)
d) 12, 8, 6
c squared = a squared + b squared
12 squared = 8 squared + 6 squared
144 = 64 + 36
144 ≠ 100 (not a right triangle)
hope this helps!!
