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jeyben [28]
3 years ago
6

14. Solve: (a) 2y - 1/2 = -1/3 (b) 6 + 5 (a - 1) = 30

Mathematics
1 answer:
Strike441 [17]3 years ago
7 0

A)2y - 1/2 = -1/3

2y=-1/3+1/2

FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS

LCM OF 3 AND 2 IS 6

-1/3*2=-2/6

1/2*3=3/6

-2/6+3/6=1/6

2y=1/6

y=1/6 ÷ 2

TAKING THE RECIPROCAL,

RECIPROCAL OF 2 IS 1/2

y=1/6*1/2

y=1/12

B) 6 + 5 (a - 1) = 30

6+(5)*(a)+(5)*(−1)=30(Distribute)

6+5a+−5=30

(5a)+(6+−5)=30(Combine Like Terms)

5a+1=30

5a=30-1

5a=29

a=29/5

15.sum of three consecutive integers=48

let the numbers be x ,x+1,x+2

x+x+1+x+2==48

3x+3=48

3x=48-3

3x=45

x=45/3

x=15

x+1=15+1=16

x+2=15+2=17

the numbers are 15,16,17

​​  

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3 years ago
Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

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Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

brainly.com/question/17097944

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2 years ago
6/15 as a percentage
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Step-by-step explanation:

All you have to do is divide the numerator by the denominator and then multiply that result with 100 

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3 years ago
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