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Vilka [71]
3 years ago
7

A sample of 4 different calculators is randomly selected from a group containing 19 that are defective and 36 that have no defec

ts. what is the probability that at least one of the 4 calculators in the sample is defective?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0
<span><span>The probability of all calculators having no defects is 16.8%. The probability of at least one defect is the complement of that probability. 
ie an 83.2% probability of at least one defect.</span><span>
</span></span>
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Divide the following polynomials using the long division model (4x ^ 4 - 5x ^ 3 + 2x ^ 2 - x + 5) + (x ^ 2 + x + 1)
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Answer:

The ramainder is equal -86

Step-by-step explanation:

Since the polynomial degree Q(x) is 1, the remainder of the division must be a number. Therefore we only need to calculate the value of polynomial for x = -2

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A man notices that a tank is half full. After emptying 600 litres from the tank, that it is now one-third full. How much does th
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One half is equal to 3/6.
One third is equal to 2/6.

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Read 2 more answers
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
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