Answer:
Step-by-step explanation:
From the statement select the related given statement.
2 answers:
Answer with explanation:
The Statement given is:
If two angles of a triangle are equal, the sides opposite those angles are equal.
It means , if in a triangle two opposite angles are equal,then side opposite to equal angles are equal or vice versa , that is if in a triangle two opposite sides are equal,then angle opposite to equal angles are equal
The related given statement will be
Option B:→→△ABC with opposite angles for which ∠1 = ∠2.
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Answer:
1/36
Step-by-step explanation:
When the coefficient is 1, the function has zeros at -3 and -5, one horizontal unit from the vertex. You want to move the zero to (2, 0), which is 6 units from the vertex. To achieve a horizontal stretch by a factor of 6, the value of x in the function must be replaced by x/6. That would make the coefficient of x^2 be (1/6)^2 = 1/36.
The coefficient of the squared term is 1/36.
Answer:
a) 0.1020
b) 0.7125
c) 7.64 hours
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
(a) What is the probability that a visually impaired student gets less than 6.2 hours of sleep?
This is the pvalue of Z when X = 6.2. So
has a pvalue of 0.1020.
So the answer for a is 0.1020.
(b) What is the probability that a visually impaired student gets between 6.8 and 10.93 hours of sleep?
This is the pvalue of Z when X = 10.93 subtracted by the pvalue of Z when X = 6.8. So
X = 10.93
has a pvalue of 0.8810.
X = 6.8
has a pvalue of 0.1685.
So the answer for b) is 0.8810 - 0.1685 = 0.7125.
(c) Thirty percent of students get less than how many hours of sleep on a typical day?
This is the value of X in the 30th percentile, that is, the value of X when Z has a pvalue of 0.30. So it is X when Z = -0.525, since this happens between Z = -0.53 and Z = -0.52.
The answer for c is 7.64 hours.