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klemol [59]
3 years ago
12

A council of three people is to be chosen from a group of 4 lawyers, one artist, and 3 teachers

Mathematics
1 answer:
padilas [110]3 years ago
4 0

Answer: 0.2857

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

At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

\text{One teacher}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{5\ others}{7\ people}\times \dfrac{4\ others}{6\ people}=\dfrac{5}{28}=0.1786\\\\\\\text{Two teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{5\ others}{6\ people}=\dfrac{5}{56}=0.0893\\\\\\\text{Three teachers}:\dfrac{3\ teachers}{8\ total\ people}\times\dfrac{2\ teachers}{7\ people}\times\dfrac{1\ teacher}{6\ people}=\dfrac{1}{56}=0.0179

One teacher + Two teachers + Three teachers = 0.2857

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Answer:

Step-by-step explanation:

17.7+8.3+13.0+2090=24.805g

8 0
2 years ago
Find the value of x<br> (7x - 12) 114
Harrizon [31]

Answer:

(7x-12)=-5

-5x÷-5 114÷-5=

x=29

5 0
1 year ago
Read 2 more answers
A circular quilt is made from 113.04 square feet of fabric. How much trim is needed to go around it’s edge?
erik [133]

Hey there!

We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.

First, we need to undo the area to find our radius.

113.04/3.14=36

We square root this to find the radius.

√36=6

Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.

6*2=12

12*3.14=37.68

Therefore, we will need 37.68 feet of trim to around the edge of the quilt.

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6 0
3 years ago
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
nekit [7.7K]

Hi there!

\large\boxed{\text{False.}}

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

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7 0
3 years ago
Me pueden ayudar a saber el resultado y la operacion de la ecuacion 8-5x=8+2x por favor me urge
Art [367]
Solve for x:
8 - 5 x = 2 x + 8
Subtract 2 x from both sides:
8 + (-5 x - 2 x) = (2 x - 2 x) + 8
-5 x - 2 x = -7 x:
-7 x + 8 = (2 x - 2 x) + 8
2 x - 2 x = 0:
8 - 7 x = 8
Subtract 8 from both sides:
(8 - 8) - 7 x = 8 - 8
8 - 8 = 0:
-7 x = 8 - 8
8 - 8 = 0:
-7 x = 0
Divide both sides of -7 x = 0 by -7:
(-7 x)/(-7) = 0/(-7)
(-7)/(-7) = 1:
x = 0/(-7)
0/(-7) = 0:
Answer: x = 0
6 0
3 years ago
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