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Gelneren [198K]
3 years ago
11

A company has 8 mechanics and 6 electricians. If an employee is selected at random, what is the probability that they are an ele

ctrician
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

Answer:

Probability = \frac{3}{7}

Step-by-step explanation:

Given

Electrician = 6

Mechanic = 8

Required

Determine the probability of selecting an electrician

First, we need the total number of employees;

Total = n(Electrician) + n(Mechanic)

Total = 6 + 8

Total = 14

Next, is to determine the required probability using the following formula;

Probability = \frac{n(Electrician)}{Total}

Probability = \frac{6}{14}

Divide numerator and denominator by 2

Probability = \frac{3}{7}

<em>Hence, the probability of selecting an electrician is 3/7</em>

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Alinara [238K]

Answer: The number of kittens= 500.

Step-by-step explanation:

Given, A random sample of cats at the SPCA shows that 25 out of the 40 cats are kittens.

i.e. ratio of kitten to cats =\dfrac{25}{40}=\dfrac{5}{8}

We assume that , the ratio will remains same.

Let x be the number of kitten out of 800 , then we have

\dfrac{x}{800}=\dfrac{5}{8}\\\\\Rightarrow\ x=\dfrac{800\times5}{8}=500

Hence, the number of kittens out of 800 cats= 500.

7 0
3 years ago
Which expressions show the prime factorization of 90?
Andreas93 [3]
Prime factorization means that we divide 90 by prime numbers only.

90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 =   5

2 x 3 x 3 x 5 = 90

2 x 3² x 5 = 90 
or 2,3,3,or 5

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3 years ago
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Lerok [7]
I think it would -2!! Sorry if I’m wrong
4 0
2 years ago
7x + 8y = 25 9x + 10y =35 elimination method please​
djverab [1.8K]

7x +8y = 25 ~~~....(i)\\\\9x +10y = 35~~~ ....(ii)\\\\\text{Multiply equation (ii) by}~ \dfrac 79 ~ \text{and do (ii) - (i):}\\\\\dfrac 79 (9x +10y) - (7x +8y) = \dfrac 79 (35) - 25\\\\\\\implies 7x +\dfrac{70y}9 - 7x -8y = \dfrac{245}9 -25\\\\\\\implies - \dfrac{2y}9 =  \dfrac{20}9\\\\\\\implies -2y =20\\\\\implies y =-10\\\\\text{Substitute}~ y = -10~ \text{in equation (i):}\\\\\\7x +8(-10) = 25\\\\\implies 7x  = 25 +80\\\\\implies 7x = 105 \\\\\implies x =15\\\\

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3 0
2 years ago
Take the horse to overtake the
S_A_V [24]

Answer:

  • 120 km/h

Step-by-step explanation:

  • Speed in one direction = 40 km/h
  • Speed on return = x
  • Average speed = 60 km/h

Let the distance be d

<u>Average speed </u>

  • 2d/(d/40 + d/x) = 60
  • d/40 + d/x = 2d/60
  • 1/40 + 1/x = 1/30
  • 1/x = 1/30 - 1/40
  • 1/x = (4-3)/120
  • 1/x = 1/120
  • x = 120 km/h

6 0
3 years ago
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