Answer:
19.74% of temperatures are between 12.9°C and 14.9°C
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 proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9
has a pvalue of 0.2420
X = 12.9
has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C
The table is usually the shape of a rectangle. The area is equal to the length times the width. To make sure, let's recalculate the solution.
Area = length × width
Area = 103.50 cm × 73.75 cm
Area = <span>7,633.125 cm</span>²
So, we established that the answer is correct. Now, I'll introduce the concept of significant figures. There are rules regarding significant figures to be applied conventionally in measurements and calculations. This is to increase precision of the data. Significant figures are digits that carry meaning. When you are given data with a specific number of significant figures, the final answer should also contain the same number of significant figures. In convention, the rule says that the zero's after non-zero digits after the decimal point are significant. Also, all non-zero digits are significant. The value 103.50 has 5 significant figures, and 73.75 has 4. When it comes to multiplication, the answer should contain the least significant figures. So, we should have 4 significant figures. Therefore, the final answer to be reported should be 7,633 cm².
Answer:
Expression
Step-by-step explanation:
2<span>, 3, 5, 7, 11, </span>13<span>, 17, 19, 23, 29, 31, </span>37<span>, </span>41<span>, </span>43<span>, </span>47<span>. are the only numbers prime that are less than 50</span>
Answer:
A. (-2, 1)
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations by graphing
Step-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
