Answer:
The probability that I will choose a consonant is 62.50%.
Step-by-step explanation:
Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:
Vowels: 3
Consonants: 5
5/8 = X
0.625 = X
0.625 x 100 = 62.50
Therefore, the probability that I will choose a consonant is 62.50%.
<u>Answers</u>
1. (3 + xz)(–3 + xz)
2. (y² – xy)(y² + xy)
3. (64y2 + x2)(–x2 + 64y2)
<u>Explanation</u>
The difference of 2 squares is in the form (a+b)(a-c).
<span>(3 + xz)(–3 + xz) = (3 + xz)(xz -3)
= (xz + 3)(xz - 3)
= x</span>²y²-3xy+3xy-9
<span> =x</span>²y² - 3²<span>
(y</span>² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²
<span> = y</span>⁴ - x²y²
<span>
(64y2 + x2)(–x2 + 64y2)= (64y</span>²+x²)(64y²-x²)
= 4096y⁴-64y²x²+64y²x²-x⁴
= 4096y⁴ - x⁴
The rotations that will carry the equilateral triangle in discuss onto itself are;
- 90° counterclockwise rotation about its center P.
- 270° counterclockwise rotation about its center P.
<h3>Which rotations will carry this equilateral triangle onto itself?</h3>
It follows from the task content that the rotation which produces the desired output in which case, the rotation maps exactly unto the equilateral triangle is required.
On this note, when the rotation is 90° and 270° about the center P in which case, the rotation can be clockwise or anticlockwise, the desired result is obtained.
Read more on rotations;
brainly.com/question/98217
#SPJ1
Answer:
Mean of A: 5.5
Mean of B: 3
Step-by-step explanation:
Mean of A: (4 + 5 * 3 + 6 * 3 + 7) / 8 = 5.5
Mean of B: (2 * 3 + 3 * 3 + 4 * 3) / 9 = 3
Answer:
15
Step-by-step explanation:
yes.
