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An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.a. How much has the angelfish grown?

b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?

40 points!

Answers

Answer 1
Answer:

A)

Earlier, The length of the angelfish  = 1 (1)/(2) inches

Now, the length of angelfish = 2 (1)/(3) inches

We have to determine the grown length of angelfish

=  2 (1)/(3) -  1 (1)/(2)

= (7)/(3)- (3)/(2)

LCM of '2' and '3' is '6',

= (14-9)/(6)

= (5)/(6) inch

Therefore, the angelfish has grown by (5)/(6) inch.

B)

We have to determine the increased length of angelfish in feet.

Since 1 inch = (1)/(12) foot

So, (5)/(6) inch = (5)/(6) * (1)/(12) = (5)/(72)

= 0.069 foot.
Answer 2
Answer: The answer for A is 5/6 inches.
2 1/3 - 1 1/2 = 2 2/6 - 1 3/6

= 2 + 6 / 6 - 1 3/6 = 8/6 - 1 3/6 = 5/6

The answer for B is 0.0694 feet.
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Answers

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Answer:

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On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate.

Answers

The question is incomplete. Here is the complete question.

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.

Answer: P(4<X<5) = 0.624

Step-by-step explanation: The probability of a seed germinate is a BinomialDistribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.

This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:

\mu=np

\sigma=√(np(1-p))

where

n is the sample quantity

p is proportion of successes

For the spinach seeds:

Mean is

\mu=9(0.65)

\mu= 5.85

Standard deviation is

\sigma=√(9.0.65(1-0.65))

\sigma= 1.431

Now, use

z=(x-\mu)/(\sigma)

to convert into a standard normal distribution.

The probability we want is between 2 values: P(4<X<5).

Therefore, we have to convert those two values:

For X = 4:

z=(4-5.85)/(1.431)

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For X = 5:

z=(5-5.85)/(1.431)

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Using z-table:

P(X>4) = 1 - P(z< -1.29) = 0.9015

P(X<5) = P(z< -0.59) = 0.2776

The probability will be

P(4<X<5) = P(X>4) - P(X<5)

P(4<X<5) = 0.9015 - 0.2776

P(4<X<5) = 0.624

The probability of 4 or 5 seeds germinate is0.624.

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Answers

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Step-by-step explanation:

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Answers

The value of {x} for the hexagon shown is 9.

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A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.

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The measure of the internal angle of a hexagon is 120 degrees. So, we can write -

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11x = 120 - 21

11x = 99

x = 9

Therefore, the value of {x} for the hexagon shown is 9.

To solve more questions on HEXAGONS, visit the link below-

brainly.com/question/14372779

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Answer:

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Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

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.

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11x=120-21

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x=99/11

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