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3 years ago

Help now! Find the area of this. 210 420 105 1092

Mathematics

1 answer:

anygoal [31]3 years ago

5 0

Answer:

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How many different committees can be formed from 10 teachers and 37 students of the committee consist of three teachers and two

pashok25 [27]

Answer:

79,920 different ways

Step-by-step explanation:

Combination has to do with selection:

If we are to select 3 teachers from a pool of 10 teachers to form a committee, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 ways

Similarly, selecting five 2 students from a pool of 37 students to form a committee, this can be done in 37C2 difference ways;

37C2 = 37!/(37-2)!2!

37C2 = 37!/35!2!

37C2 = 37*36*35!/35!*2

37C2 = 37*36/2

37C2 = 37 * 18

37C2 = 666 ways

Hence the total number of ways that the 5 committees can be selected is expressed as 10C3 * 37C3 = 120 * 666

120 * 666 = 79,920 ways

3 0

3 years ago

The 200 meter race times at a state track meet are normally distributed with a mean of 13.56 seconds and a standard deviation of

storchak [24]

The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880 ⇒ A

Step-by-step explanation:

To find the probability of a random variable X which has a normal distribution do that

If X < b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
Use the normal distribution table of z to find the corresponding area to the left of z-score

∵ The 200 meter race times at a state track meet are normally

distributed with mean of 13.56 seconds and a standard deviation

of 2.24 seconds

∴ μ = 13.56

∵ σ = 2.24

- We need to find the probability that a runner chosen at random

will have a 200 meter time less than 13.5 seconds

∵ X < 13.5

∴ b = 13.5

- Find z-score

∵ $z=\frac{13.5-13.56}{2.24}=-0.02679$

- Use the normal distribution table to find the area corresponding to z

∵ The corresponding area of z ≅ -0.03 is 0.4880

∴ P(x < 13.5) = 0.4880

The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880

Learn more:

You can learn more about the probability in brainly.com/question/4625002

#LearnwithBrainly

5 0

4 years ago

Help I WILL GIVE Brainiest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kondor19780726 [428]

Answer:

b. infinite solutions

Step-by-step explanation:

$-\frac{1}{2}x+\frac{1}{2}y=-1\\\\\textsf{subtract} \ -\frac{1}{2}y \ \textsf{from both sides:}\\\\\implies -\frac{1}{2}x=-1-\frac{1}{2}y\\\\\textsf{mulitply both sides by -2:}\\\\\implies x=2+y\\\\\textsf{subtract} \ y \ \textsf{from both sides:} \ x-y=2$

Therefore, the graphs are the same.

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

6 0

3 years ago

Read 2 more answers

The sum of two numbers is 12. The product of these same two numbers is -64. Find the numbers

Vera_Pavlovna [14]

The two numbers are 16 & -4

7 0

3 years ago

Right answer gets brainlist

insens350 [35]

Answer:

10 feet

Step-by-step explanation:

${r} = \sqrt{ \frac{V_{silo} }{\pi \times h} } \\ \\ {r} = \sqrt{ \frac{11938}{3.14 \times 38} } \\ \\ {r} = \sqrt{ \frac{11938}{119.32} } \\ \\r = \sqrt{100.050285} \\ \\ r = 10.0025139 \\ \\ r \approx \: 10\: ft$

4 0

3 years ago

Read 2 more answers