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vekshin1
2 years ago
10

840 and 360 in lowest ratios

Mathematics
1 answer:
Alexxandr [17]2 years ago
3 0
  840     :    360 
(÷120)   :  ( ÷120)
    7        :      3

------------------------------------------------------------------------------------------
Answer: 7 : 3
------------------------------------------------------------------------------------------

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If f(x)=3x+2 and g(x)=x2-x find each value. 14. g(2)-2
Katena32 [7]
Value 14 so it must be 55 or something
4 0
3 years ago
Suppose you do not know the population mean fee charged to H&R Block customers last year. Instead, suppose you take a sample
puteri [66]

Answer:

i \to a

    n = 96040000

i \to b

    n_1 =24010000

i \to c

    n_2 =41602500

ii\toa

     E = 58.16

ii\tob

    291.84  <  \mu  < 408.16\

ii\toc

    There is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval

Step-by-step explanation:

From the question we are told that

     The sample size is n =  8

      The sample mean is  \= x  =  \$ 350    

      The sample standard deviation is  \$ 100

Considering question i

    i \to a

         At   E =  0.02  

given that the confidence level is 95%  =  0.95

         the level of significance would be  \alpha  =1-0.95 =  0.05

The critical value of  \frac{\alpha }{2} from the normal distribution table is  

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

So  the sample size is mathematically evaluated as

            n = [ \frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ]^2

=>        n =[ \frac{ 1.96 *  100}{ 0.02} ]^2

=>         n = 96040000

 i \to b

  At  E_1 = 0.04    and  confidence level  = 95%  =>  \alpha_1  = 0.05   =>  Z_{\frac{\alpha_1 }{2} } =  1.96

             n_1 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_1} ]^2

=>           n_1 =[ \frac{ 1.96 *  100}{ 0.04} ]^2

=>           n_1 =24010000

 i \to c

       At   E_2 =  0.04     confidence level  = 99%  =>    \alpha_2  = 0.01

The critical value of  \frac{\alpha_2 }{2} from the normal distribution table is  

        Z_{\frac{ \alpha_2 }{2} } = 2.58

=>    n_2 = [ \frac{Z_{\frac{\alpha_2 }{2} } *  \sigma }{E_2} ]^2

=>    n_2 =[ \frac{ 2.58 *  100}{ 0.04} ]^2

=>    n_2 =41602500

Considering ii

Given that the level of significance is  \alpha  = 0.10

Then the critical value  of  \frac{\alpha }{2} from the normal distribution table is  

           Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as

          E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

         E = 1.645  *  \frac{100 }{\sqrt{8} }

         E = 58.16

Generally the 90% confidence interval is mathematically evaluated as

         \= x - E <  \mu  <  \= x + E

=>      350 -  58.16  <  \mu  < 350 +  58.16

=>     291.84  <  \mu  < 408.16

So the interpretation is that there is 90% confidence that the mean  fee charged to H&R Block customers last year is in the interval .So there is insufficient evidence to conclude that the analyst is right because the population mean fee by the analyst does not fall within the confidence interval.

8 0
3 years ago
A company collected funds for charity from employees. The amount donated by some employees on the first day is as
N76 [4]

Answer:

$10, $10, $10, $15, $15, $20, $100,  the central tendency is  $15,

Step-by-step explanation:

3 0
3 years ago
Question Below please help
g100num [7]
The answer is D. 4/x-2
5 0
3 years ago
Read 2 more answers
The temperature is 71 °F at 2:00 in the afternoon. If the temperature drops 8 °F every hour after that, what is the temperature
Katen [24]

Answer:

The answer is 39 degrees by 6:00 in the evening.

Step-by-step explanation:

Since it is 2:00 in the afternoon and there is 4 hours, with 8 degrees dropping every hour, 8 times 4 equals 32, so 71 degrees minus 32 degrees is 39 degrees.

3 0
3 years ago
Read 2 more answers
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