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Phantasy [73]
2 years ago
6

Yal my someone please help me with this, its teh last thing

Mathematics
1 answer:
USPshnik [31]2 years ago
3 0

1) 2 1/3 is also equal to 7/3

4 1/5 is also equal to 21/5

you need to make the denominators the same so you have to find the lowest common multiple, which is 15 since both 5 and 3 can be times by to make 15

you need to also times the numerators by the number you're timesing the denominator by

7/3 x 5 = 35/15

21/5 x 3 = 63/15

now add those together

35/15 + 63/15 = 98/15

now just convert 98/15 back to a mixed fraction

98/15 = 6 8/15

the answer is..

6  \frac{8}{15}

I'll do the others in a different answer!!

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3 years ago
According to the scatterplot below, which statement is correct? A graph titled Courses Completed versus Remaining Credits Needed
kondaur [170]

Answer:

Option B.

Step-by-step explanation:

It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.

Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).

Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.

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6 0
3 years ago
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Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

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Answer:

Step-by-step explanation:

salut :

en utilisant le theorem de Pythagore on obtient :

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Kobotan [32]
I would say function
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3 years ago
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