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Vikki [24]
3 years ago
9

The boss gives all his employers a 7% pay rise. Paul used to earn £8 an hour. How much does he get after the rise? Sandy used to

earn a salary of £11100. How much does she get after the rise ? Please help
Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0
Hi there

Paul get after the rise
8+8×0.07=8.56 per hour

Sandy get after the rise
11,100+11,100×0.07=11,877

Good luck!
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Jay discovers that if he multiplies his age by 3, reverses the number and them divides the answer by 3, the answer equals his ol
Rudiy27

Answer:

Jay's age = 13, 12, or 23

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Let <em>x </em>and <em>y </em>represent  the tens and units of Jay's age

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The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggest
djverab [1.8K]

Answer:

r=0.77, \hat{y}=770.50+39.37x and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is  \hat {y}=920.10

Step-by-step explanation:

We attached a table below,

(a)  We attached a table below,

Therefore ,

correlation coefficient  r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 }  }

                                         =\frac{41.04}{53.19}

                                         =0.77

(b)    We calculate the least squares equation.

      b_1=r(\frac{\sigma_y}{\sigma_x} )\\      =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\      =0.77(\frac{52.15}{1.02} )\\      =0.77(51.13)\\      =39.37

Now , calculate intercept coefficient.

b_0=\bar{y}-r\bar{x}\\

    =(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50

Therefore, the regression equation is, \hat{y}=770.50+39.37x

(c)    Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

\hat{y}=770.50+39.37x

   =770.50+39.37(1.9)\\=770.50+74.80\\=920.10

5 0
3 years ago
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