The transformation that maps quadrilateral 1 onto quadrilateral 2 is a <u>translation</u> followed by a dilation with a scale factor of 2.
<h3>What is a transformation?</h3>
A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.
<h3>The types of
transformation.</h3>
In Geometry, there are different types of transformation and these include the following:
Based on similarity transformation of both quadrilateral 1 and quadrilateral 2, we can infer and logically deduce that the transformation which directly maps quadrilateral 1 onto quadrilateral 2 is a <u>translation</u> followed by a dilation with a scale factor of 2, as shown in the image attached below.
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Answer:
a. 18
Step-by-step explanation:
First you multiply 24 by 9 since each bow is 9 inches and she needs 24 bows.
After multiplying you should then end up with 216 in. Then convert 216 into feet which should give you 18.
(Sorry if my explanation is not the best. I hope this helps though!)
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
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Answer:
X is equal to 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all.
