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tangare [24]
3 years ago
10

Convert 0.72 repeating into a fraction

Mathematics
1 answer:
Fiesta28 [93]3 years ago
5 0

0.72 repeating is the sum of a geometric series with first term 0.72 and common factor 1/100. The sum is given by:

(first term) 0.72 0.72 72

--------------------------- = --------------- = ------------ = ------------

1 - common factor 1 - 1/100 99/100 99

This 72/99 can be reduced to 8/11.

0.72 repeating can be rewritten as the fraction 8/11.


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If a recipe requires 400 grams of potatoes for four people, how many kilograms would be required for 12 people?
Tasya [4]

Answer:

1.2 kg

Step-by-step explanation:

We need 400 grams of potatoes for 4 people. That means each person will require 400 / 4 = 100 grams.

Now, we have 12 people, so the total number of grams needed will be:

(100 g/person) * (12 people) = 1200 grams

However, we want the answer in kilograms. There are 1000 grams in a kilogram, so divide 1200 by 1000:

1200 / 1000 = 1.2 kg

The answer is 1.2 kg.

6 0
3 years ago
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What is the missing side and what is the answer rounded to the nearest tenth?
pogonyaev
The missing side is 17 and rounded it is 20

4 0
3 years ago
For bone density scores that are normally distributed with a mean of 0 and a standard deviation of​ 1, find the percentage of sc
Shkiper50 [21]

Answer:

a) Scores of 2 and higher are significantly high

b) Scores of -2 and lower are significantly low

c) Scores between -2 and 2 are not significant.

Step-by-step explanation:

Mean = 0

Standard deviation = 1

a. significantly high​ (or at least 2 standard deviations above the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

So scores of 2 and higher are significantly high

b. significantly low​ (or at least 2 standard deviations below the​ mean).

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores of -2 and lower are significantly low

c. not significant​ (or less than 2 standard deviations away from the​ mean).

2 standard deviations above the mean is:

0 + 1*2 = 2

2 standard deviations below the mean is:

0 - 1*2 = -2

So scores between -2 and 2 are not significant.

3 0
3 years ago
1. A farmer divided a field into 1-foot by 1-foot sections and tested soil samples from 32 randomly selected sections in the fie
Ad libitum [116K]
Part A

Answers:
Mean = 5.7
Standard Deviation = 0.046

-----------------------

The mean is given to us, which was 5.7, so there's no need to do any work there.

To get the standard deviation of the sample distribution, we divide the given standard deviation s = 0.26 by the square root of the sample size n = 32
So, we get s/sqrt(n) = 0.26/sqrt(32) = 0.0459619 which rounds to 0.046

================================================

Part B

The 95% confidence interval is roughly (3.73, 7.67)
The margin of error expression is z*s/sqrt(n)
The interpretation is that if we generated 100 confidence intervals, then roughly 95% of them will have the mean between 3.73 and 7.67

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*5.7/sqrt(32)
ME = 1.974949
The margin of error is roughly 1.974949

The lower and upper boundaries (L and U respectively) are:
L = xbar-ME
L = 5.7-1.974949
L = 3.725051
L = 3.73
and
U = xbar+ME
U = 5.7+1.974949
U = 7.674949
U = 7.67

================================================

Part C

Confidence interval is (5.99, 6.21)
Margin of Error expression is z*s/sqrt(n)
If we generate 100 intervals, then roughly 95 of them will have the mean between 5.99 and 6.21. We are 95% confident that the mean is between those values.

-----------------------

At 95% confidence, the critical value is z = 1.96 approximately

ME = margin of error
ME = z*s/sqrt(n)
ME = 1.96*0.34/sqrt(34)
ME = 0.114286657
The margin of error is roughly 0.114286657

L = lower limit
L = xbar-ME
L = 6.1-0.114286657
L = 5.985713343
L = 5.99

U = upper limit
U = xbar+ME
U = 6.1+0.114286657
U = 6.214286657
U = 6.21
5 0
3 years ago
The equation y – 9 + 9 = –17 + 9 is an example of which property of equality?
frutty [35]
You add 9 to both sides to get:
<span>y – 9 + 9 = –17 + 9
</span>
so it's <span>Addition Property of Equality

answer

</span>B.Addition Property of Equality
4 0
3 years ago
Read 2 more answers
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