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3 years ago

Find the mean absolute deviation for the data set. 5,6,6,8,10

Mathematics

2 answers:

alukav5142 [94]3 years ago

6 0

Answer: 1.6

Order the numbers

5,6,6,8,10

Add

5+6+6+8+10=35

Divide

35÷5=7

Mean: 7

Sum divided by the count.

Final Answer: 1.6

vredina [299]3 years ago

4 0

Answer:

1.6

Step-by-step explanation:

Mean: 5 + 6 + 6 + 8 + 10 = 35/5 = 7

7 - 5 = 2

7 - 6 = 1

7 - 8 = 1

7 - 10 = 3

1 + 1 + 1 + 2 + 3 = 8/5 = 1.6

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Find the domain of the rational expression: x-3/2x-8

miss Akunina [59]

Answer:

$\huge\boxed{x\neq4\to x\in\mathbb{R}\backslash\{4\}}$

Step-by-step explanation:

$\dfrac{x-3}{2x-8}$

We know: the denominator must be different than 0.

Therefore

$2x-8\neq0$ add 8 to both sides

$2x-8+8\neq0+8$

$2x\neq8$ divide both sides by 2

$\dfrac{2x}{2}=\dfrac{8}{2}\\\\x\neq4$

6 0

3 years ago

Find the value of x to the nearest tenth!

sergij07 [2.7K]

Answer:

5.7

Step-by-step explanation:

sine cosine tangent

soh cah toa

sine = opposite/hypotenuse

so sin(35)= x/10

you can multiply 10 to both sides to get rid of the 10 denominator on the right leaving you with 10sin(35)=x

be sure your calculator is in degrees.

put that into a calculator leaving you with 5.7

5 0

3 years ago

Find the center and radius of (x-4)2 + (y+2)2 = 32

Trava [24]

Step-by-step explanation:

General equation of the circle with center (h,k) and radius r,

(x-h)²+(y-k)²=r²

Therefore, on comparison

center ( 4, -2)

radius r= 4√2

6 0

3 years ago

So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Alex_Xolod [135]

Answer:

3x - (15 x 3) = 90

3x - 45 = 90

Explanation:

there are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45

Therefore the first part is 3x - 45

We also know that in the end we have 90 left.

So our final equation is:

3x - 45 = 90

6 0

3 years ago