Answer:
5 units
Step-by-step explanation:
The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.
a^2+b^2=c^2
If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.
Hope this helped! :)
Answer:
The minimum score required for a letter of recognition is 631.24.
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 problem, we have that:
What is the minimum score required for a letter of recognition
100 - 10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.
The minimum score required for a letter of recognition is 631.24.
Pretty easy. Really thirty seven. two.
Answer:
Step-by-step explanation:
1) -2x + 14 > 16
-2x > 16-14
-2x > 2
x > -1
2) 3x - 7 < 20
3x < 20+7
3x < 27
x < 9
3) 5x + 2 ≥ 12
5x ≥ 12 - 2
5x ≥ 10
x ≥ 2
4) -x + 3 ≤ 5
-x ≤ 5 -3
-x ≤ 2
x ≤ -2
5: 11.97
6: 4.1
7: 14.484
8: 12.34
Hope this helps!