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ehidna [41]
3 years ago
7

Calculate the coefficient of x4y18 in the expansion of (x − y)22

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0
Binomial theorem:

(x-y)^n=\displaystyle\sum_{k=0}^n\binom nkx^k(-y)^{n-k}

The term with x^4y^{18} corresponds to n=18+4=22 and k=4 (or k=18, since \dbinom nk=\dbinom n{n-k}).

So, the coefficient of this term is

\dbinom{22}4(-1)^{18}=\dbinom{22}4=\dfrac{22!}{4!(22-4)!}=7315
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Sindrei [870]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken
trasher [3.6K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

5 0
3 years ago
What would I have to do here? Somebody please help me! (Look at the bottom problem not the top)
Zinaida [17]
Alright, let's do this! If $25 is one fifth of how much the game system cost then, multiply 25 times 5. And you should get your answer. 
I hope this helps. 
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2 years ago
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lilavasa [31]

Answer:

Step-by-step explanation:

8 0
2 years ago
This is the table i need help with
Papessa [141]
2.3 is the other length
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8 0
2 years ago
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