Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Answer:
41
Step-by-step explanation:
<span>1 - 2.25x</span>⁸ =
1² - (1.5x⁴)² =
(1 + 1.5x⁴)(1 - 1.5x⁴)
Answer:
The histogram that represents the correct frequency of each class interval in the given data set, is: histogram B.
What is a Histogram?
A histogram is a type of bar graph that uses bins to represent the frequency of a class interval.
Given the data points above, the histogram in option B has the correct bars that represent the appropriate frequency of each class interval.
Therefore, the histogram that represents the data set given is Histogram B.
Learn more about histograms on:
brainly.com/question/18198700
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IdentityProperty of Addition OR Zero Property
