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DENIUS [597]
2 years ago
10

Insert 5 arithmetic means between -1 and 11

Mathematics
1 answer:
Anni [7]2 years ago
7 0

Answer:

Step-by-step explanation:

-1 1 3 5 7 9 11

That's the answer. If you need a method or a formula, that's a little harder.

L = a + (n - 1)*d

a = -1

L = 11

n = 7

or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all

11 = -1 + (7 - 1)*d                   add 1 to both sides. Combine the brackets

11+1 = -1+1+ 6*d

12 = 6d                               divide by 6

12/6 = d

2 = d

What this tells you is that each term has 2 added to it to get to the next one.

   

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Natali5045456 [20]
To find the area of a triangle uses the equation base*height/2. For this equation, we have 26 * h/2 = 195. This means that 26 * h = 195 * 2.
26 * 15 = 390, so your answer is 15 cm.
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3 years ago
14x + 54 = 11x + 96 x=
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Move the 11x to the left and the +54 to the right. Their signs will flip:

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Life rating in Greece. Greece has faced a severe economic crisis since the end of 2009. A Gallup poll surveyed 1,000 randomly sa
elena-s [515]

Answer:

a

        The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

b

   The condition  is met

c

   The  95% confidence interval is   0.223 <  p  < 0.277

d

      If the confidence level is increased which will in turn reduce the level of significance but increase the critical value(Z_{\frac{\alpha }{2} }) and this will increase the margin of error( deduced from  the formula for margin of error i.e  E \ \alpha \  Z_{\frac{\alpha }{2} } ) which will make the confidence interval wider

e

  Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  1000

     The  population proportion is  \r p  = 0.25

     

Considering question a

   The population parameter of interest is the true proportion of Greek who are suffering

    While the point estimate of this parameter is  proportion of those that would rate their lives poorly enough to be considered "suffering". which is 25%  

Considering question b

The condition for constructing a confidence interval is

        n *  \r p >  5\  and  \   n(1 - \r p ) >5

So  

        1000 *  0.25 > 5 \  and \  1000 * (1-0.25 ) > 5

         250  > 5 \  and \  750> 5

Hence the condition  is met

Considering question c

    Given that the confidence level is  95%  then  the level of significance is mathematically evaluated as

          \alpha  =  100 - 95    

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table, the value is  

              Z_{\frac{\alpha }{2} }  =  1.96        

Generally the margin of error is mathematically represented as

         E =  Z_\frac{ \alpha }{2}  *  \sqrt{ \frac{\r p (1 - \r p ) }{n} }

substituting values

         E =  1.96  *  \sqrt{ \frac{ 0.25 (1 - 0.25 ) }{ 1000} }

         E =  0.027

The  95% confidence interval is mathematically represented as

            \r p  - E  <  p  <  \r p  + E

substituting values  

           0.25 -  0.027  <  p  < 0.25 + 0.027

substituting values

           0.223 <  p  < 0.277

considering d

  If the confidence level is increased which will in turn reduce the level of significance but increase the critical value(Z_{\frac{\alpha }{2} }) and this will increase the margin of error( deduced from  the formula for margin of error i.e  E \ \alpha \  Z_{\frac{\alpha }{2} } ) which will make the confidence interval wider

considering e

     Looking at the formula for margin of error if the we see that if the  sample size is increased the margin of error will reduce making the  confidence level narrower

   

5 0
3 years ago
Ben claims that 12 is a factor of 24. how can you check whether he is correct
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Take 12 from 24 and if the the answer is 12 then it's a factor.
7 0
2 years ago
The volumes of two spheres are in a ratio of 1:8 what is the eatio rafi
Agata [3.3K]
Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.

You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation. 

Step One 
Set up the Ratio for the volumes.

\frac{V_1}{V_2} =  \frac{1}{8}

Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3

\dfrac{1}{8} =  \frac{ \frac{4}{3} \pi( r_1)^3 }{ \frac{4}{3} \pi( r_2)^3 }

Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.

You are left with 1/8 = (r1)^3/ (r2)^3

Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2

Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2

Step  Five
Answer
\frac{r_1}{r_2} =  \frac{1}{2}   Answer <<<<<<<
8 0
3 years ago
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