What digit does B represent? What digit does C represent?

Given a group of 8 women and 11 men, how many different ways are there of choosing one man and one woman for a committee?

Mashutka [201]

Any of the 11 man can be chosen, and combined with any of the 8 women.

Assume we select man1. The selected committee can be:

(m1,w1), (m1,w2), (m1,w3), (m1,w4), (m1,w5), (m1,w6), (m1,w7), (m1,w8),

so there are 8 committees selections with man1 in them.

we could repeat the same procedure for the remaining 10 men, and get 8 committees where each of them is a member.

so there are 11*8=88 ways of choosing 1 man and 1 woman.

Answer: 88

8 0

3 years ago

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu

Novosadov [1.4K]

Answer:

$A(t)=240-220e^{-\frac{t}{40}}$

Step-by-step explanation:

A tank contains 240 liters of fluid in which 20 grams of salt is dissolved.

Volume of the tank = 240 liters
Initial Amount of Salt in the tank, A(0)=20 grams

Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 6 L/min

$R_{in}=$ (concentration of salt in inflow)(input rate of fluid)

$R_{in}=(1\frac{gram}{liter})( 6\frac{Liter}{min})=6\frac{gram}{min}$

$R_{out}=$ (concentration of salt in outflow)(output rate of fluid)

$R_{out}=(\frac{A(t)}{240})( 6\frac{Liter}{min})\\R_{out}=\frac{A}{40}$

Rate of change of the amount of salt in the tank:

$\dfrac{dA}{dt}=R_{in}-R_{out}$

$\dfrac{dA}{dt}=6-\dfrac{A}{40}$

We then solve the resulting differential equation by separation of variables.

$\dfrac{dA}{dt}+\dfrac{A}{40}=6\\$The integrating factor: e^{\int \frac{1}{40}dt} =e^{\frac{t}{40}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{40}}+\dfrac{A}{40}e^{\frac{t}{40}}=6e^{\frac{t}{40}}\\(Ae^{\frac{t}{40}})'=6e^{\frac{t}{40}}$

Taking the integral of both sides

$\int(Ae^{\frac{t}{40}})'=\int 6e^{\frac{t}{40}} dt\\Ae^{\frac{t}{40}}=6*40e^{\frac{t}{40}}+C, $(C a constant of integration)\\Ae^{\frac{t}{40}}=240e^{\frac{t}{40}}+C\\$Divide all through by e^{\frac{t}{40}}\\A(t)=240+Ce^{-\frac{t}{40}}$

Recall that when t=0, A(t)=20 (our initial condition)

$20=240+Ce^{-\frac{0}{40}}\\20-240=C\\C=-220\\$Therefore, the number A(t) of grams of salt in the tank at time t\\A(t)=240-220e^{-\frac{t}{40}}$

3 0

3 years ago

Express 4% as a ratio strength. <br> a. 1 : 100 <br> b. 4 : 100 <br> c. 1 : 50 <br> d. 1 : 25

sergey [27]

The answer for what the ratio is for 4% is 4:100

8 0

3 years ago

6 Using data from 1988 for houses sold in Andover, Massachusetts, from Kiel and McClain (1995),

Nimfa-mama [501]

The study of explanatory or independent differences based on the dependent variable is a simple statistical method. The correlation between two variables is researched in which only the explanatory variable of them would be present, and the further discussion can be defined as follows:

For point (i):

The log(distances) seem to be optimistic, and their valuation is 0.312, which also means that the cost of a house will rise even as the distance increases.
In this, the certainly is what everybody expects the better the house from the sewage treatment is from a hygienic viewpoint.

For point (ii):

In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided.
The price-distance relationship here is not so much linear.

For point (iii):

Several factors influence the house's price, the biggest contributor is house length, market nearness or public areas, number of rooms, etc.
Thus the only influence is not the mere distance from the incinerator. It's one of the factors affecting housing pricing.
The proximity of markets and places can be connected to the distance from the crematorium.
However, factors such as house size and the number of stories aren't related to the distance from the incineration plant.

Learn more:

brainly.com/question/19729277

5 0

2 years ago

If x and y vary inversely and x = 5 when y = -3.5, what is the value of x when y = 10?

Solnce55 [7]

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

5 0

3 years ago