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Setler [38]
3 years ago
8

50 people sponsor paula and she raises a total of £180 for charity. what is the mean average amount sponsored?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0
180 / 50= £ 3.60 per person
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Graph the solution on a number line -6x+3>-39
SCORPION-xisa [38]

Step-by-step explanation:

-6x+3>-39\qquad\text{subtract 3 from both sides}\\\\-6x+3-3>-39-3\\\\-6x>-42\qquad\text{change the all signs}\\\\6x

-\text{op}\text{en circle}-\circ\\\leq,\ \geq-\text{closed circle}-\bullet\\\\,\ \geq-\text{draw the line to the right}

5 0
3 years ago
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

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 standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

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

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
What is the best estimate for the length of a bulletin board in meters
Reptile [31]
Bulletin boards can be in all shapes and sizes. There is no correct or incorrect answer to this problem. 
6 0
3 years ago
Read 2 more answers
A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,
natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

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Population mean :  \mu=4000

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Standard deviation: s=400

The value of test-statistic is given by :-

z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5

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5 0
3 years ago
I don't know the answer marked stylish random
Kamila [148]

Answer:

A

Step-by-step explanation: i am in math 8

lol

8 0
2 years ago
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