Answer: The graph becomes narrower
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
- (h. k) represents the vertex
A vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
Answer
12855.04 ft³
Step-by-step explanation:
regular Octagon consists of 8 congruent triangles
B = (13.28 x 11) / 2 x 8=584.32
V = BH = 584.32 x 22 = 12855.04
Answer:
408 cm^3
Step-by-step explanation:
You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3
Unlike fraction 1/7 is converted to equivalent like fraction 2/14 and the sum of 2/14 + 3/14 = 5/14.
As given in the question,
Given fraction is equal to:
1/7=? + 3/14=?
Here there are two fractions
1/7 and 3/14
LCD( least common denominator) of 7 and 14 is equal to 14.
Now make them like fractions
1/7 is equivalent to
( 1/7) × ( 2/2) = 2/ 14
Now 2/14 and 3/14 are like fractions
Sum of like fractions is:
2/14 + 3/14
= ( 2+ 3) / 14
= 5/ 14
Therefore, the conversion of unlike fraction 1/7 to like fraction is 2/14. And sum of 2/14 + 3/14 = 5/14.
The complete question is:
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum. 1/7=? + 3/14=?
Learn more about fractions here
brainly.com/question/10354322
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Answer:
A. 16%
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:
Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?
This is 1 subtracted by the pvalue of Z when X = 68. So
has a pvalue of 0.84.
1 - 0.84 = 0.16
So the correct answer is:
A. 16%
