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4 years ago

I need help with number 20. Please be sure to explain. Thank You! There is a picture attached btw.

Mathematics

1 answer:

yan [13]4 years ago

3 0

He should have added 1 to both sides to make the -1 on the right go to 0.
Then it would be 0 + m = -16 + 1 = -15
You can check your work by adding -1 and -15, which does in fact equal -16.
Hope this helped :)

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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 A given that another event X has already occurred is given by:

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

The probability of an event E 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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4 years ago

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2 years ago

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3 years ago

Admission to a certain university is determined by an entry exam. The scores of this test are Normally distributed with a mean o

Arturiano [62]

Answer:

The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)

Step-by-step explanation:

Mean m = 400

Standard deviation S = 60

Firstly, we have to determine the cut off mark,

Since Only students who score in the top 30% are accepted, the cut off mark can be determined from 70% of the mark.

P(cut off mark = X) = Z[( X -m)/S) <x]

=¢(X-400/60) = 0.7

From Normal distribution table,

X-400/60 = 0.524

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Therefore, the cut off mark is 431.44

Since Amy scores 425 on the test.

Therefore, The top 30% is defined with a score greater than or equal to 431.44 so she will not be admitted (D)

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4 years ago

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Step-by-step explanation:

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3. Then, we conclude that the correct option is the Option A:

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4. You can see that the function cut the y-axis at -3.

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4 years ago