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Leokris [45]
3 years ago
14

A number is 3 1/3 greater than another. If the sum of the numbers are doubled the answer would be 19 1/2

Mathematics
2 answers:
olganol [36]3 years ago
7 0

Answer:

3 and 5/24

Step-by-step explanation:

trust me bro

i wish u luck

also

hi

i just realized that the other person got it right

ignore this lol

Delicious77 [7]3 years ago
5 0

Answer:

smaller number = 3 5/24

larger number =  6 13/24

Step-by-step explanation:

let the larger number = x

smaller number = y

x - y = 3 1/3 equation 1

2(x +y) = 191/2 equation 2

divide equation 2 through by 2

x + y = 9 3/4  equation 3

subtract equation 1 from 3

2y = 6 5/12

y = 77/12 x 1/2 = 3 5/24

substitute for y in equation 1

x - 3 5/24 = 31/3

x = 3 1/3 + 3 5/24

x = 6 13/24

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A scale diagram of a garden shows the length as 14.5cm. If the scale is 1:150, what is the actual length? The garden is _______m
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Answer:

21.75m

Step-by-step explanation:

14.5×150 =2175cm

1m =100cm

to convert into m divide 2175 by 100

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4 0
3 years ago
You select a random sample of n=14 families in your neighborhood and find the following family sizes (number of people in the fa
satela [25.4K]

Answer:

a. Best estimate for the mean family size for the population of all families in a country is 16.3571428571

b. 95% confidence interval for the estimate is 16.3571428571±0.7106240840. That is between 15.6465187731 and 17.0677669411

c. The sample is unlikely to be very representative of all families in a country.

Step-by-step explanation:

a. mean family size for the population of all families in a country can be estimated as sample mean, and calculated as:

\frac{15+ 16+ 19+ 18+ 17+ 15+ 16+ 16+  15+ 16+  15+ 16+ 17+ 18 }{14} ≈ 16.3571428571

b. 95% confidence interval for the estimate can be calculated using the equation CI=M± \frac{t*s}{\sqrt{N} } where

  • M is the mean estimate (16.3571428571)
  • t is the corresponding statistic in the 95% confidence level and with 14 degrees of freedom (2.160)
  • s is the standard deviation of the sample (1.2309777100)
  • N is the sample size (14)

s can be calculated as square root of mean squared differences from the sample mean.

Thus 95% CI=16.3571428571± \frac{2.160*1.2309777100}{\sqrt{14} } ≈ 16.3571428571±0.7106240840

The sample is unlikely to be very representative of all families in a country because as the sample data increases, estimate will improve.

7 0
3 years ago
Read 2 more answers
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The number of hours needed for the company to break even happens when 
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20+45h= 5h^{2}-30, rearranging to make the equation 'zero' on LHS
0= 5h^{2}-30-20-45h
0= 5h^{2}-45h-50, divide each term by 5
0= h^{2}-9h-10, factorise
0=(h+1)(h-10), equate each factor to zero
h=-1 and h=10

We choose the positive value of h

Hence, the number of hours needed to break even is h=10
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4 years ago
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The answers will be:

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