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Brrunno [24]
2 years ago
3

10. Based on a random sample of 13 tire changes, the mean time to change a tire on a Boeing 777 has a mean of 59.5 minutes with

a standard deviation of 8.4 minutes. For 10 tire changes on a Boeing 787 the mean time was 64.3 minutes with a standard deviation of 12.4 minutes. To test for equal variances in a two-tailed test at alpha = .10, the critical values are: Select one: 3.73 and .228 2.51 and 3.67 3.07 and .398 3.07 and .357
Mathematics
1 answer:
gtnhenbr [62]2 years ago
8 0

Answer: 3.07 and 0.357

Step-by-step explanation:

To solve the problems above, we use the F- distribution or statistic to test the equality of variance in a two tailed test.

We can employ the excel function :

F.INV.RT(alpha, deg_of _freedom1, deg_of_freedom2) to get the right tail and

F. INV(alpha, deg_of _freedom1, deg_of_freedom2)

alpha = 0.1

For a two tailed test ;

Alpha = 0.1 ÷ 2 = 0.05

Deg_of freedom1 = (number of observation1 - 1)

Deg_of freedom1 = 13 - 1 = 12

Deg_of freedom2 = (number of observation2 - 1)

Deg_of freedom2 = 10 - 1 = 9

Right tail:

F.INV.RT(0.05,12,9) = 3.07

F.INV(0.05,12,9) = 0.357

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vovangra [49]

Answer: Option A) 729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd^{10} + d^{12} is the correct expansion.

Explanation:

on applying binomial theorem,  (a+b)^n=\sum_{r=0}^{n} \frac{n!}{r!(n-r)!} a^{n-r} b^r

Here a=3c, b=d^2 and n=6,

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⇒(3c+d^2)^6= \frac{6!}{(6-)!0!} (3c)^6.d^0+\frac{6!}{(5)!1!} (3c)^5.d^2+\frac{6!}{(4)!2!} (3c)^4.d^4+\frac{6!}{(6-3)!3!} (3c)^3.d^6+\frac{6!}{(2)!4!} (3c)^2.d^8+\frac{6!}{(1)!5!} (3c).d^{10}+\frac{6!}{(0)!6!} (3c)^0.d^{12}

⇒(3c+d^2)^6=(3c)^6.d^0+\frac{720}{120} (3c)^5.d^2+\frac{720}{48} (3c)^4.d^4+\frac{720}{36} (3c)^3.d^6+\frac{720}{48} (3c)^2.d^8+\frac{720}{120} (3c).d^{10}+.d^{12}

⇒(3c+d^2)^6=729c^6 + 1,458c^5d^2 + 1,215c^4d^4 + 540c^3d^6 + 135c^2d^8 + 18cd^{10} + d^{12}

3 0
2 years ago
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Answer:

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8 0
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Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

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Answer:

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Step-by-step explanation:

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Thus, the smallest number Yuri could be thinking of is 3500

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2 years ago
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