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3 years ago

Please answer with steps

Mathematics

1 answer:

lilavasa [31]3 years ago

4 0

Answer:

$2 :\sqrt{\pi}$

Step-by-step explanation:

a.......... $x_{1}$

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

5(x+7)+2(y-1)when x=7 and y=2

balu736 [363]

Answer: 72

Step-by-step explanation:

First plug in 7 for x

5(14)

Then multiply

Next plug 2 in for y

2(1)

Multiply

Lastly, add 70 and 2 together.

72.

Hope this helps.

5 0

3 years ago

Read 2 more answers

Find n in this equation: 308P(n,2)=P(16,4)

allsm [11]

Answer:

Step-by-step explanation:

7x4

5 0

2 years ago

A coin is tossed 11 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 8 heads? c)

larisa86 [58]

Answer:

a) 2048

b)164

c)54

d) 11

Step-by-step explanation:

a) A coin has two faces.

Outcome possible =2^11= 2048

b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways

c)2 heads outcome= 11!/2!8!= 39716800/725760=54

d) 7 heads= 11!/7!6! =39716800/3628800 = 11

5 0

3 years ago

Read 2 more answers

18 3/8f = -29 4/7 please help

KatRina [158]

Answer:

f=-552 /343 or 5=1 and 209/343

Step-by-step explanation:

4 0

3 years ago