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Mademuasel [1]
3 years ago
5

How do you work out: Ben and Sue shared £60 in the ratio 2:3. work out how much each person gets

Mathematics
1 answer:
Sedbober [7]3 years ago
4 0
(2/3)=0.66667=x/y
x+y=60
x=60-y
(60/y)-1=2/3
60/y=5/3
y=36
x+36=60
x=24

24:36
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The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
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Answer:

8

Step-by-step explanation:

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If a scale is 1:250,000 and the distance is 8.5cm on the map what's the actual distance
timurjin [86]
8.5cm · 250,000 = 2,125,000cm

1m = 100cm therefore 1cm = 0.01m

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7 0
3 years ago
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melomori [17]

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8 0
3 years ago
Read 2 more answers
You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e
victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval.  Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The  Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = \dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}

mean = 15.58

the standard deviation \sigma = \sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}

the standard deviation = \sqrt{\dfrac{(26.2  - 15.58)^2 +(27.7 - 15.58)^2 +(8.6  - 15.58)^2 + (3.8  - 15.58)^2  + (11.6  - 15.58)^2  }{5 }  }

standard deviation = 9.62297

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Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df  at 4 and 80% confidence level, the critical value t from t table  = 1.533

The Margin of Error M.O.E = t \times \dfrac{\sigma}{\sqrt{n}}

The Margin of Error M.O.E = 1.533 \times \dfrac{9.62297}{\sqrt{5}}

The Margin of Error M.O.E = 1.533 \times 4.3035

The Margin of Error M.O.E = 6.60

The  Confidence interval = ( \mu  \pm M.O.E )

The  Confidence interval = ( \mu  +  M.O.E , \mu - M.O.E )

The  Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The  Confidence interval = (8.98 , 22.18)

7 0
3 years ago
What is the quotient of b^3+4b^2-3b+126/b+7
stepladder [879]
The correct answer for the question that is being presented above is this one: "D. b² − 3b + 18 R252. T<span>he quotient of b^3+4b^2-3b+126/b+7. In order to get the answer, you have to start dividing b^3 by b. Then multiply the quotient to b + 7. Then after that, subtract. Do the same thing until you reached the end.</span>
7 0
3 years ago
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