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Natalija [7]
3 years ago
15

Solve the problem.

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

<h2>560</h2>

Step-by-step explanation:

You must use a combination:

_nC_k=\dfrac{n!}{k!(n-k)!}

We have <em>n = 16</em>, <em>k = 3</em>.

Substitute:

_{16}C_3=\dfrac{16!}{3!(16-3)!}=\dfrac{13!\cdot14\cdot15\cdot16}{2\cdot3\cdot13!}\qquad\text{cancel}\ 13!\\\\=\dfrac{14\cdot15\cdot16}{2\cdot3}=\dfrac{7\cdot5\cdot16}{1}=560

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The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its o
zavuch27 [327]

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( t_{\alpha /2, df) ( standard error )

⇒ sample estimate ± ( t_{0.05 /2, 26) ( standard error )

⇒ sample estimate ± ( t_{0.025, 26) ( standard error )

{ from t table; ( t_{0.025, 26) = 2.055529 = 2.056

so we substitute

⇒ 0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

5 0
3 years ago
Sue invests £9000 in an account for one year.
Anika [276]

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

3 0
3 years ago
4.5 - d &gt; 2.5 substitute 2.5 for d
den301095 [7]

Answer:

so whats the question?

Step-by-step explanation:

5 0
2 years ago
Can someone help me with this :(
julia-pushkina [17]

Answer:

9

Step-by-step explanation:

6+x, when x = 3

6+(3)

6+3=9

5 0
3 years ago
Read 2 more answers
Please help me out with this..............
Andrews [41]

Answer:

C

Step-by-step explanation:

when x=0, y=0, so B is impossible

when X=2, Y=1,

and thus C is correct

6 0
3 years ago
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