$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 5 + - \sqrt{ {5}^{2} - 4(5) } }{2} \\ x = \frac{ - 5 + - \sqrt{25 - 20} }{2} \\ x = \frac{ - 5 + - \sqrt{5} }{2}$

Therefore, the zeroes would be:

$x1 = \frac{ - 5 + \sqrt{5} }{2} \\ x2 = \frac{ - 5 - \sqrt{5} }{2}$

8 0

3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

Whitepunk [10]

Answer: $\mu=2.88\ \&\ \sigma^2=0.115$

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

$\mu=np\\\\\sigma^2=np(1-p)$

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

$\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115$

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

4 0

3 years ago

Find the value of x that makes ABCD a parallelogram.

daser333 [38]

Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

7 0

2 years ago

a cube measuring 1 cm on each side, what is the volume, if the cube was dropped into 28ml of water. what would the new volume be

meriva

Answer:

29 ml

Step-by-step explanation:

Vcube = 1cm×1cm×1cm = 1 cm³

1 cm³ = 1 ml

If this cube is dropped into a 28ml of water the new reading will be 29 ml.

hope this helped :)

5 0

3 years ago