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Anastaziya [24]
3 years ago
7

Consider a political discussion group consisting of 1010 ​Democrats, 1010 ​Republicans, and 55 Independents. Suppose that two gr

oup members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two RepublicansRepublicans.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

The probability is \frac{3}{20}

Step-by-step explanation:

Consider a political discussion group consisting of 10 ​Democrats, 10 ​Republicans, and 5 Independents.

Total members of the group = 10+10+5=25

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

\frac{10}{25}\times \frac{9}{24}

= \frac{90}{600} =\frac{3}{20}

So, the probability is \frac{3}{20}

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3 years ago
A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa
lyudmila [28]

The kids have to wait for 1 hour to get their bags.

<u>Step-by-step explanation:</u>

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

  • The speed of the bus was 60 mph.
  • It took kids 3 hours to reach the camp.

<u>To find the distance traveled by the bus :</u>

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

<u>To find the time taken by the truck to reach the camp :</u>

  • The speed of the truck was 45 mph.
  • We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

<u>To find how long the kids have to wait for their bags :</u>

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

7 0
3 years ago
¿Por qué un conjunto numerable es una función biyectiva?????
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En matemáticas, un conjunto contable es un conjunto con la misma cardinalidad (número de elementos) que un subconjunto del conjunto de números naturales. Un conjunto contable es un conjunto finito o un conjunto contable infinito.
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3 years ago
Find the Least Common<br>Multiple of 26 and 38.​
Drupady [299]

Answer:

494

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B49%7D%20" id="TexFormula1" title=" \sqrt{49} " alt=" \sqrt{49} " align="absmiddle
Zinaida [17]
Root of 49

Solutions are 7 and -7

We know that 7 is the square root of 49.

A negative number multiplied by itself gives positive
So -7 is also a square root of 49
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3 years ago
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