Answer:
Statement 3
Step-by-step explanation:
∠GAF ≅ ∠TAE
Since, there is no relation between these angles,
Therefore, statement is False.
∠TAE and ∠FAH are complementary.
If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.
Therefore, this statement is False.
∠TAF is obtuse.
Measure of obtuse angle is more than 90°
From the given picture, measure of ∠TAF = m∠TAH + m∠HAF
= 90° + 50°
= 140°
Here, m∠TAF > 90°
Therefore, ∠TAF is an obtuse angle.
Statement (3) is the correct statement.
Answer:
3.24% of rods will be discarded
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 proportion of rods will be discarded
Shorter than 24.85.
pvalue of Z when X = 24.85
has a pvalue of 0.0162
Longer than 25.15
1 subtracted by the pvalue of Z when X = 25.15
has a pvalue of 0.9838
1 - 0.9838 = 0.0162
2*0.0162 = 0.0324
3.24% of rods will be discarded
Answer:
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Step-by-step explanation:
Hello :
<span>–3y = 15 – 4x
y= 15/-3+ (-4/-3) x
y= (4/3)x -15/3........(</span><span>slope-intercept form)
</span><span>The y-intercept : x= 0 : y = (4/3)(0)-15/3 = -15/3
</span>