Answer:
<em><u>$79.38</u></em>
Step-by-step explanation:
Find the diagram of the question attached
Area of the parallelogram = Base * Height
Given
Base = 8.1m
Height = 3.5m
Area of the parallelogram = 8.1 * 3.5
Area of the parallelogram = 28.35m²
If the carpet is priced at $2.80 per square meter, then;
1m² = $2.80
28.35m² = x
x = 28.35 * 2.80
x = $79.38
<em><u>Hence the cost of the carpet is $79.38</u></em>
Answer:
a) 1186
b) Between 1031 and 1493.
c) 160
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with mean of 1262 and a standard deviation of 118.
This means that
a) Determine the 26th percentile for the number of chocolate chips in a bag.
This is X when Z has a p-value of 0.26, so X when Z = -0.643.
(b) Determine the number of chocolate chips in a bag that make up the middle 95% of bags.
Between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile.
2.5th percentile:
X when Z has a p-value of 0.025, so X when Z = -1.96.
97.5th percentile:
X when Z has a p-value of 0.975, so X when Z = 1.96.
Between 1031 and 1493.
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?
Difference between the 75th percentile and the 25th percentile.
25th percentile:
X when Z has a p-value of 0.25, so X when Z = -0.675.
75th percentile:
X when Z has a p-value of 0.75, so X when Z = 0.675.
IQR:
1342 - 1182 = 160