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11Alexandr11 [23.1K]
3 years ago
5

A jet flies 405 miles in 5 hours. At this rate. how far could the jet fly in 15 hours? PLS

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer: 1215 miles

Step-by-step explanation:

405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15)  so 81 x 15 = 1215

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Step-by-step explanation:

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Determine the coefficient of x^3 in the expansion of (1 – x)^5(1 + 1/x)^5
Mkey [24]

Notice that

(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵

Recall the binomial theorem:

\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k

Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then

\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}

We get an <em>x</em> ³ term for

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4 0
3 years ago
A random sample of 78 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 284.
oksian1 [2.3K]

Answer:

a) In the step-by-step-explanation

b) z(s) = -2.46     corresponding area is 0.0069      

P [  μ₀   > 275   ]  is 0.0069      or     0.69 %

We reject  H₀

Step-by-step explanation:

Normal distribution

Random sample

size sample 78   =  n

population standard deviation σ = 32

The school administrator declare that mean score is more (bigger than)

275. So the hypothesis test should be:

H₀  null hypothesis                               μ₀   > 275           and

Hₐ  alternative hypothesis                   μ₀   < 275

Is one tail test with  α  = 0,04 from tables we have  z(c) = - 176

We proceed to compute z(s)

z(s) = [ (μ -  μ₀) /( σ /√n) ]       ⇒  z(s) = (-  9 *√78 )/ 32

z(s) = - (9*8.83)/32  

z(s) = - 2.46    corresponding area   is  0,0069

P [ z > 275 ] = 0.0069          or     0.69 %

The value for z(s)  = - 2.46  is smaller than the critical value mentioned in problem statement z(c) = - 1.74  , the z(s) is in the rejection zone

Therefore we reject H₀

         

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Answer:

its q r trust

Step-by-step explanation:

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