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Vinil7 [7]
2 years ago
9

115 students could sign up to hear three different speakers for career day. 70 students heard the nurse speak, 52 heard the fire

fighter, and 78 heard the webmaster. Some students heard more than one speaker. The results are shown in the table below.
___________________________________
Number of students | Speaker
15 | All three
20 | Nurse and firefighter
30 | Webmaster and nurse
12 | Firefighter only

How many students signed up for Webmaster only?
Mathematics
1 answer:
Crank2 years ago
4 0
I think it is 28 but, i'm not completely sure. Hopes it helps
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Out of 5 cards in the bag ...

-- There are 2 even numbers . . . 2 and 4 .

-- There are 3 odd numbers . . . 1, 3, and 5 .

So EITHER time, the probability of pulling an even number is  2/5 ,
and the probability of pulling an odd number is  3/5 .

The probability of pulling an even number the first time
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Round 4,088,432 to the nearest million
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In the following exercises, solve
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When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

  • The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
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Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

$v \propto \frac{1}{p}$

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

$v=\frac{k}{p}$

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$

7 0
2 years ago
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