Solve inequalities by using transformation rules? 7(x-2)<4x-8

What is the gcf of 20 ,12, and 8

xxMikexx [17]

4 is the gif of 20, 12, and 8

6 0

3 years ago

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.

4 0

3 years ago

Read 2 more answers

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?

SVETLANKA909090 [29]

No because she runs up yes but she also ran down witch means she went exactly 0

3 0

3 years ago

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Ming needs 1/2 pint of red paint for an art project. He has 6 jars that have the following amounts of red paint in them. He want

Alex17521 [72]

Answer:

Step-by-step explanation:

GIvn that Ming needs 1/2 pint of red paint for an art project

The 6 jars he has, have the following red paint in them

A. 2/3 pint

B.1/4 pint

C.4/6 pint

D.3/4 pint

E. 3/8 pint

F.2/6 pint

Since he want 1/2 pint he can use only jar B two times

First pour jar B contents equal to 1/4 pint to a new empty jar.

Now he can pour from A 1/4 pint to B, and then again use that

So altogether he gets 1/2 pint of red paint.

7 0

3 years ago

Read 2 more answers

(PLEASE ANSWER QUICK) Which data set could be represented by the box plot shown below?

Naily [24]

Answer:

Your answer is B

Step-by-step explanation:

The lowest number is 4, therefore it cannot be C.

Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.

Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.

For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.

For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.

Lowest: 4

Mean: 9

Lower quartile: 7

Greater quartile: 12

Highest: 14

Therefore your answer is B and not A or C.

8 0

3 years ago

Solve inequalities by using transformation rules? 7(x-2)<4x-8​

Solve inequalities by using transformation rules? 7(x-2)<4x-8