Answer:
A strong positive correlation
Step-by-step explanation:
A strong correlation when the correlation coefficient is close to 1 or -1. If the correlation coefficient is close to positive 1, then it is a positive strong correlation coefficient. If the correlation coefficient is close to negative 1, then it is a negative strong correlation coefficient.
Answer:
<em>The complement is 47° and the supplement is 137°.</em>
Step-by-step explanation:
<u>Complementary and Supplementary Angles</u>
When the sum of two angles is equal to 90 degrees, they are called complementary angles. Similarly, if the sum of two angles is 180 degrees, they are called supplementary angles.
We are given an angle of 43 degrees. Its complementary angle is 90° - 43° = 47°, and its supplementary angle is 180° - 43° = 137°.
The complement is 47° and the supplement is 137°.
Answer:
15000
Step-by-step explanation:
In 15476, 5 is the place value of thousand. For rounding it to nearest 1000, check the next digit to 5. It is 4, which is less than 5. So, 15476 rounded to 1000 is 15000
Answer:
The fence is 18.9 ft long.
Step-by-step explanation:
If you were to create a diagonal line from corner to corner with a square that is 10x16ft, you would have a triangle with 2 known sides and an unknown value. In this case, because you are making a 90° triangle, you can use Pythagorean Theorem:
a^{2} + b^{2} = c^{2}
- by plugging in the two values given (10 and 16):
10^{2} + 16^{2} = c^{2}
100 + 256 = c^{2}
356 = c^{2}
√356 = c
18.9 = c
Answer:
The mean of this distribution is 36 years.
Step-by-step explanation:
When the distribution is normal, we use 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:

There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22
This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22, Z = -2. So





The mean of this distribution is 36 years.