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marusya05 [52]
3 years ago
10

There are 5 chemistry, 6 physics, and 7 math teachers in a school. if 3 teachers are selected randomly, find the probability tha

t at least one is a math teacher.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0
77.2%

To find the probably and at least on you must find the probability of none and subtract from one.

The probability of none can be found like so:

(5+6 over 5+6+7)^3 = .228

1 - .228 = .772

Hope this helps!
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Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle
lora16 [44]

Answer:

Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)

AB=  

[8−(−2)]  

2

+(3−3)  

2

 

​

=  

(10)  

2

+(0)  

2

 

​

=  

100

​

 

AC=  

[6−(−2)]  

2

+(7−3)  

2

 

​

=  

(8)  

2

+(4)  

2

 

​

=  

64+16

​

=  

80

​

 

BC=  

(6−8)+[7−(2)]

​

 

2

=  

(−2)  

2

+(4)  

2

 

​

=  

4+16

​

=  

20

​

 

If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.

AB  

2

=(  

100

​

)  

2

=100

and AC  

2

+BC  

2

=(  

80

​

)  

2

+(  

20

​

)  

2

=100

∴AB  

2

=AC  

2

+BC  

2

 

thus triangle satisfies the Pythagoras theorem

Hence, the triangle is right angled triangle.

Step-by-step explanation:

8 0
3 years ago
Simplify the following expression.
tangare [24]

Answer: 88x+52

Step-by-step explanation:

(52x + 70) - (-36x + 18)

52x+70+36x−18

(52x+36x)+(70−18)

88x+52

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

4 0
4 years ago
The following data values represent a sample. What is the variance of the
alukav5142 [94]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Quadratic form of f(x)=(x+7)^2
Triss [41]

Answer:

x^2 + 14x + 49

Step-by-step explanation:

Use the distributive property:

(x + 7)(x + 7) = x^2 + 7x + 7x + 49 = x^2 + 14x + 49

3 0
3 years ago
Exercise 59 use the table to evaluate the given expressions
Arlecino [84]

Answer:  f(0) = 5.5     f(2) = 3.7

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

\begin {array}{c|c|c|c|c|c}x&0&1&2&3&4\\ f(x)&5.5&4.3&3.7&2.5&1.9\\\end{array}


When x = 0, f(x) = 5.5   <em>In other words, f(0) = 5.5</em>

When x = 2, f(x) = 3.7   <em>In other words, f(2) = 3.7</em>

5 0
3 years ago
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