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vitfil [10]
2 years ago
9

Which quantity is proportional to 35⁄80?

Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Answer:

The propotional quantity to \frac{35}{80} is \frac{7}{16}

Step-by-step explanation:

We need to find quantity propotional to \frac{35}{80}

first, we simplify the expression

\frac{35}{80}

Since, the common factor in numerator and denominator is 5,

\frac{5\times 7}{5 \times 16}

cancel out the common factor

\frac{7}{16}

Hence, the propotional quantity to \frac{35}{80} is \frac{7}{16}

gladu [14]2 years ago
7 0
7/16 I hope this helps
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At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
1 year 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
2 years ago
What is 13/56 + 5/7=
Darya [45]
<span>The question is asking us to calculate : 13/56 + 5/7. To do this we have first to find the common denominator for these fractions. We know that 56 = 7 * 8, so the common denominator is 56. Then we will multiply the numerator and the denominator of the second fraction by 8. 5/7 * 8/8 = 40/56. Finally we will add : 13/56 + 40/56 = 53/56 and that is the final answer, which can not be simplified. Answer: 53/56</span>
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The box plot shows the number of years during which 24 colleges have participated in a local college fair: A boxplot is titled Y
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Answer:

its is actually 4

Step-by-step explanation:

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2 years ago
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