Answer:
P(x) =
- 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x =
, x = - 
Then the factors are (x - 2), (x + 2), (x -
), (x +
)
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x -
)(x +
) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
=
- 3x² - 4x² + 12 ← collect like terms
=
- 7x² + 12
Answer:
Associative property: a + (b + c), a – (b – c) ≠ (a – b) – c, a × (b × c) = (a × b) × c, and a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c
When a = ½ and b = ¾
Now, for checking a × b = b × a, consider LHS and RHS.
LHS = a × b = ½ × ¾ = ⅜
RHS = b × a = ¾ × ½ = ⅜
Thus, LHS = RHS (Hence proved)
Step-by-step explanation:
Answer:
0.1587
Step-by-step explanation:
Given the following :
Mean (m) of distribution = 64 inches
Standard deviation (sd) of distribution = 2 inches
Probability that a randomly selected woman is taller than 66 inches
For a normal distribution :
Z - score = (x - mean) / standard deviation
Where x = 66
P(X > 66) = P( Z > (66 - 64) / 2)
P(X > 66) = P(Z > (2 /2)
P(X > 66) = P(Z > 1)
P(Z > 1) = 1 - P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 ( from z distribution table)
1 - P(Z ≤ 1) = 1 - 0.8413
= 0.1587
5:15 because you aren't drawing all of the 52 cards so your proportion would be the probability of drawing at least 5 spade and the 15 cards drawn in all
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Hey jm correct answer