Answer:
Smallest angle = 23
Middle angle = 23 + 44 = 67
Right angle = 90
Step-by-step explanation:
Givens
Let the smallest angle = x
Let the middle angle = x + 44
Let the right angle = 90 which it always does.
All triangles = 180 degrees.
Equation
x + x + 44 + 90 = 180
Solution
2x + 44 + 90 = 180 Combine the left
2x + 134 = 180 Subtract 134 from both sides
2x +134-134 = 180 - 134 Combine
2x = 46 Divide by 2
2x/2 = 46/2 Do the division
x = 23
Answer:
1
Step-by-step explanation:
Answer:
The first quartile of the strengths of this alloy is 9.055 GPa.
Step-by-step explanation:
Problems of normal distributions can be 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.
The strength of an aluminum alloy is normally distributed with mean 10 gigapascals (GPa) and standard deviation 1.4 GPa.
This means that
What is the first [lower] quartile of the strengths of this alloy?
This is the 100/4 = 25th percentile, which is X when Z has a pvalue of 0.25, so X when Z = -0.675.
The first quartile of the strengths of this alloy is 9.055 GPa.
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) Given
2)
3) Distributive property/
4) Commutative, associative and modulative properties/Existence of additive inverse/
5) Commutative property/Definition of division
6)
7) Distributive property/Associative property/
8) Modulative property/Existence of additive inverse/
9) Distributive property
10)
11) Commutative property/Definition of division/Result
Answer:
35 minutes
Step-by-step explanation:
From 2:42 to 3:00, there are 18 minutes and from 3:00 to 3:17, there are 17 minutes so the answer is 18 + 17 = 35 minutes.