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4 years ago

Write 0.27227222722227... as a fraction

Mathematics

1 answer:

hram777 [196]4 years ago

3 0

Answer: Woohoo! Something I'm learning

Step-by-step explanation:

X=0.27 repeating

100x=27.27 repeating

Subtract and get 27

100-x=99

So 27/99 then divide each by 3

Final answer

X=9/33

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nekit [7.7K]

Answer:

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Step-by-step explanation:

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3 years ago

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

4 years ago

7. The length of a rectangular plot is 12 m 30 cm and breadth is 5m 20cm. Find the

Wewaii [24]

The area shown would be perpendicular to that of the barbecue container. In order to efficiently complete the swim lessons, one must master the script before presentation. Not everyone will develop this arm hair, however those that do tend to involve themselves in the Avengers plot.

3 0

3 years ago

Read 2 more answers

If r = 6 units and h = 8 units, what is the volume of the cylinder shown above? Use 3.14 for .

MariettaO [177]

Answer:

the volume of the cylinder is 904.32 m³

Step-by-step explanation:

Volume of a cylinder is $\pi r^{2}h$

π = 3.14

r = 6 units

h - 8 units

Substitute for the values in the volume equation

V = 904.32

6 0

3 years ago

A jar contains 3 pennies, 8 nickels and 6 dimes. A child selects 2 coins at random without replacement from the jar. Let X repre

coldgirl [10]

Answer:

1) Probability X = 10 is 20.59%.

2) Probability X = 11 is 6.62%.

3) Expected value of X = 12.12

Step-by-step explanation:

We are given;

Amount of pennies in jar = 3

Amount of nickels in jar = 8

Amount of dimes in jar = 6

Total number of coins in the jar = 3 + 8 + 6 = 17 coins

Now, it is well known that;

1 penny = 1 cent

1 nickel = 5 cents

1 dime = 10 cents

A) Probability X = 10 cents

To achieve 10 cents by selecting two coins from the jar means both coins must be nickels.

Thus;

For the first selection, the probability of selecting a nickel would be 8/17.

The probability that the second coin is also a nickel is 7/16.

the probability of this outcome is; 8/17 × 7/16 = 7/34 = 20.59%.

2)Probability X = 11 cents

To achieve 11 cents by selecting two coins from the jar means one coin must be a penny while the other must be a dime.

For the first selection, the probability of selecting a penny is 3/17. The probability of selecting a dime in the second selection is 6/16.

the probability of this outcome is; 3/17 × 6/16 = 9/136 = 6.62%.

3) The expected value of X will be;

E(X) = 2[(3 × 1) + (8 × 5) + (6 × 10)]/(3 + 8 + 6)

E(X) = 2(103)/17

E(X) = 206/17

E(X) = 12.12

4 0

3 years ago