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krek1111 [17]
2 years ago
14

The sum of 2 integers is 61 and their difference is 29.

Mathematics
1 answer:
aev [14]2 years ago
3 0

Answer:

16 and 45

Step-by-step explanation:

Just use guess and check, start with a number too low like 10+39=49. Then go up until you find the number or until you go over.

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Joan had 198 dollars to spend on 9 books.After buying them she had 18 dollars. How much did each book cost?
Fed [463]
She spent 20 dollars on each book because if you subtract 18 from 198 you'll get 180 then you divide that by 9 n it leaves you with 20.
3 0
3 years ago
Increase £854 by 89% Give your answer rounded to 2 DP.
kolezko [41]

Step-by-step explanation:

<u>Step 1:  Find the answer</u>

854 * (1 + 0.89) = x

854 * 1.89 = x

1614.06 = x

Answer:  x = 1614.06

3 0
2 years ago
AYUDAAAA, LES DOY CINCO ESTRELLAS SI LO RESUELVEN BIEN
liq [111]

dividido por la epotenusa es 7 :v

3 0
2 years ago
Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125
kicyunya [14]

Answer:

The  probability is  P(14 <  X  <  20 ) =  0.5354  

Step-by-step explanation:

From the question we are told that

   The  proportion that live with their parents is  \r p  =  0.142

   The  sample  size is n =  125

   

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

  i.e  

       X   \  \~ \ B( \mu ,  \sigma )

Now the mean is evaluated as

      \mu  =  n *  \r p

      \mu  =  125 *  0.142

      \mu  =  17.75

Generally the proportion that are not staying with parents is  

      \r  q  =  1 -  \r  p

= >    \r  q  =  0.858

The standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{n * \r p  *  \r q }

     \sigma  =  \sqrt{ 125 *  0.142 * 0.858  }

    \sigma  = 3.90

Given the n is large  then we can use normal approximation to evaluate the probability as follows  

     P(14 <  X  <  20 ) =  P( \frac{ 14 -  17.75}{3.90}

Now applying continuity correction

      P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < \frac{  X  - \mu }{\sigma } < \frac{ 19.5 -  17.75}{3.90}   )

Generally  

    \frac{  X  - \mu }{\sigma }  =  Z  ( The  \ standardized \ value  \  of  X )

    P(14 <  X  <  20 ) =  P( \frac{ 13.5 -  17.75}{3.90}  < Z< \frac{ 19.5 -  17.75}{3.90}   )

     P(14 <  X  <  20 ) =  P( -1.0897   < Z<  0.449 }   )

    P(14 <  X  <  20 ) =   P( Z<  0.449   ) - P(Z  <   -1.0897)

So  for the z -  table  

         P( Z<  0.449   ) =  0.67328

         P(Z  <   -1.0897)  = 0.13792

 P(14 <  X  <  20 ) =   0.67328 -  0.13792    

  P(14 <  X  <  20 ) =  0.5354  

     

6 0
3 years ago
CAN YOU PLS HELP MEEEE
laiz [17]

Answer:

10x - 2y

Step-by-step explanation:

<em>simplify</em><em> </em><em>the</em><em> </em><em>expression</em><em>.</em><em> </em>

<em>8x</em><em>–</em><em>2y</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em>

<em>combine</em><em> </em><em>numbers</em><em> </em><em>that</em><em> </em><em>have</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>variables</em><em> </em>

<em>8x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em><em>+</em><em> </em><em>x</em><em> </em>

<em>*</em><em>those</em><em> </em><em>x</em><em> </em><em>have</em><em> </em><em>1</em><em> </em><em>coefficient</em><em> </em><em>each</em><em>.</em><em> </em>

<em>it</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>8x</em><em>+</em><em>1x</em><em>+</em><em>1x</em><em> </em><em>=</em><em> </em><em>10x</em><em> </em><em>then</em><em> </em><em>–</em><em>2y</em>

<em>10x</em><em>–</em><em>2y</em><em>.</em>

Hope it helps :)

8 0
2 years ago
Read 2 more answers
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