Mathematics, 24.12.2019 10:31, Geo777

Assume that the committee consists of 8 republicans. and 5 democrats. a subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 democrat. what is the probability that the new subcommittee will contain at least 2 democrats?

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answered: daniellealex

The probability that the new subcommittee will contain at least 2 Democrats is about 0.57.

Step-by-step explanation:

Given information:

Republicans = 8

Democrats = 5

Total committee = 13

Possible ways to select 0 Democrat in group of 4 subcommittees.

$^8C_4\times ^5C_0=70\times 1=70$

Possible ways to select 1 Democrat in group of 4 subcommittees.

$^8C_3\times ^5C_1=56\times 5=280$

Possible ways to select 2 Democrat in group of 4 subcommittees.

$^8C_2\times ^5C_2=28\times 10=280$

Possible ways to select 3 Democrat in group of 4 subcommittees.

$^8C_1\times ^5C_3=8\times 10=80$

Possible ways to select 4 Democrat in group of 4 subcommittees.

$^8C_0\times ^5C_4=1\times 5=5$

Total possible ways to select at least 1 Democrat in group of 4 subcommittees is

$\text{Total outcomes}=280+280+80+5=645$

Total possible ways to select at least 2 Democrat in group of 4 subcommittees is

$\text{Favorable outcomes}=280+80+5=365$

The formula for probability is

$P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$P=\frac{365}{645}$

P=0.57

Therefore, the probability that the new subcommittee will contain at least 2 Democrats is about 0.57.

answered: Guest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

answered: Guest

i think it would be 42cm

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Assume that the committee consists of 8 republicans. and 5 democrats. a subcommittee of 4 is randoml...