Answer:
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Step-by-step explanation:
i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.
Therefore Option A.) and Option B.) are not true
ii) It has point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.
iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.
Therefore the correct options are
D.) It has rotational symmetry with an angle of rotation of 90 degrees.
Answer:
True
Step-by-step explanation:
The correct answer for this question is this one: "The square root of terms separated by addition and subtraction cannot be calculated individually."
<span>The statement that best explains why the expression cannot be rewritten as during the next step is that t</span>he square root of terms separated by addition and subtraction cannot be calculated individually.
Hope this helps answer your question and have a nice day ahead. ..... hope that helps
Answer:
C) 4/(x+y)²
Step-by-step explanation:
start by expanding so it is written as 2÷(x+y)/(x+y)÷2.
Then rearrange so that it is 2×2/(x+y)×(x+y) or 4/(x+y)²
Answer:
Q3 = 65.7825.
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:

Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)
This is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.




Q3 = 65.7825.