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3 years ago

What additional information would you need to prove that triangle ABC is congruent to triangle DEF by ASA

1 answer:

4 0

Of two angles and the included side of one triangle are congruent to the corresponding to the corresponding parts of another triangle hen the triangles are congruent. I really don't think there is additional information to prove if the triangles are congruent by using ASA.

Hopes this helps

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What is a cat measures bye

Irina18 [472]

A cat is measured by millimeters, feet, inches

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3 years ago

Read 2 more answers

A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl

True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that $\mu = 0.6h$ , in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that $h = 8, \mu = 0.6(8) = 4.8$ .

The probability is P(X = 4).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203$

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0

3 years ago

Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and

Ahat [919]

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

5 0

3 years ago

Perry connects a blue garden hose and a green garden hose to make one long hose. The blue hose is 10.5 feet. The green hose is 1

swat32

Answer:

22.25 ft long

if you add 10.5 with 11.75 you'll get 22.25

7 0

3 years ago

Find the mode: 16,12,10,15,7,916

Airida [17]

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

$\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}$

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

4 0

1 year ago