Division word problem for 56 divided by 7

1 answer:

5 0

There were 56 balloon animals and seven people attending a party. The clown wants to decide how to equally distribute the balloons to each person, excluding himself. How many balloon animals will each person receive?

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Six of the nine students are from middle gerogia state college. What is the probability that all three interviewed students are

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Answer:

0.2381 = 23.81%

Step-by-step explanation:

To calculate this probability, we can calculate the probability of each student of the 3 students interviewed being from middle georgia state college.

If inicially there are six students from middle georgia state college among the nine students, the probability of the first student chosen being from middle georgia state college is 6/9.

Then, as one student was already picked, we have now 5 students from middle georgia state college in a total of 8 students, so the probability of the second student will be 5/8.

In the same way, the third student will be picked in a group of 7 students, where 4 are from middle georgia state college, so the probability is 4/7.

Multiplying all the probabilities, we have the probability of all three students interviewed being from middle georgia state college:

P = (6/9) * (5/8) * (4/7) = 120/504 = 0.2381 = 23.81%

6 0

4 years ago

A person casts a shadow that aligns with a shadow of a tree. the person is 5.5 feet tall and casts a shadow 8.25 feet long. the

SOVA2 [1]

An equation that can be used to determine the tree's height is 22.5/8.25 = x/5.5.

The height of this tree is equal to 15 feet.

The distance of this person from the tree is equal to 14.25 feet.

<h3>What are the properties of similar triangles?</h3>

In Geometry, two (2) triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Additionally, two (2) geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Now, we can write an equation that can be used to determine the tree's height. Since the ratio of the corresponding sides of similar triangles are equal in magnitude, we have the following mathematical expression (equation):

22.5/8.25 = x/5.5

Where:

x represents the height of the tree.

22.5/8.25 = x/5.5

Cross-multiplying, we have:

8.25x = 22.5 × 5.5

8.25x = 123.75

x = 123.75/8.25

x = 15 feet.

<h3>How far is the person standing from the tree?</h3>

The distance of this person from the tree can be calculated as follows;

Distance = Length of tree's shadow - Length of person's shadow