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Marina86 [1]
3 years ago
13

Julio's age is 3 times Sally's age plus 2. Sally's age is Julio's age minus 14 what is the difference in their ages?

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0
J = 3S + 2
S = J - 14

S = 3S + 2 - 14
S - 3S = 2 - 14
-2S = - 12
S = -12/-2
S = 6

J = 3S + 2
J = 3(6) + 2
J = 18 + 2
J = 20

and the difference is : 20 - 6 = 14 <===
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An average adult can hear sounds with frequencies between 20 waves per second and 16,000 waves per second. What is the wavelengt
frez [133]

Answer:

The wavelength, of a sound wave with a frequency of 20 waves per second is 15,000,000 m.

Step-by-step explanation:

In this question, we have to calculate the wavelength of a sound wave of frequency 20 waves per second.

We know that  the speed of light in air/ vacuum is 3\times 10^{8}.

Now by the formula v = nλ , where v = speed of light in air/vacuum, n = frequency of the wave and λ = wavelength in meters,

we put the values

3\times 10^{8} = 20 × λ

λ = \frac{3\times 10^{8}}{20}

λ = 15,000,000 m

6 0
3 years ago
Read 2 more answers
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. Th
babymother [125]

Answer:

a

\= x  =  40.85

b

E = 5.85

Ca  

   t_c =  2.08

Cb

   t_c  =   1.282

Explanation:

From the question we are told that

     The sample size is n  =  100

     The upper limit of the 95% confidence interval is  b =  47.2 years

     The lower limit of the 95% confidence interval is   a =  34.5 years

Generally the sample mean is mathematically represented as

         \= x  =  \frac{a + b }{2}

=>    \= x = \frac{47.2 + 34.5 }{2}

=>    \= x  =  40.85

Generally the margin of error is mathematically represented as

         E =  \frac{b- a }{ 2}

=>      E =  \frac{47.2- 34.5 }{ 2}

=>      E = 5.85

Considering question C a  

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90 ) \%

=>   \alpha = 0.10

The  sample size is  n =  22

Given that the sample size is not sufficient enough i.e n < 30 we will make use of the student t distribution table  

Generally the degree of freedom is mathematically represented as

           df =  n- 1

=>        df =  22 - 1

=>        df =  21

Generally from the student  t  distribution table the critical value  of  \frac{\alpha }{2} at a degree of freedom  of  21 is  

   t_c =t_{\frac{\alpha }{2} ,  21  } =  2.08

Considering question C b

From the question we are told the confidence level is  80% , hence the level of significance is    

      \alpha = (100 - 80 ) \%

=>   \alpha = 0.20

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

   t_c  =Z_{\frac{\alpha }{2} } =  1.282

4 0
2 years ago
The volume of a rectangular prism is 7200 cubic centimeters. It has a length of 24 centimeters and a width of 20 centimeters. Wh
inessss [21]
The height of the rectangular prism is 15 centimeters

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3 years ago
PLS ANSWE WILL GIVE BRAINLIEST
Virty [35]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

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(11431 nautical miles)/(100 days)

To divide by 100, move the decimal point two places left.

(11431 nautical miles)/(100 days) = 114.31 nautical miles per day

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What is 1.3 x 10^4 in standard notation?
guajiro [1.7K]

Answer:

0.00013

Step-by-step explanation:

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