You toss a coin and roll a number cube. Find P(tail and a six).

Answer:

14

Step-by-step explanation:

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

So, the GCF is 14

Answer:

Use the quadratic formula

   =−±2−4√2

x=−b±b2−4ac2ax=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}x=2a−b±b2−4ac

   ​​

   Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

   2+5+6=0

   x2+5x+6=0x^{2}+5x+6=0x2+5x+6=0

   =1

   a=1a={\color{#c92786}{1}}a=1

   =5

   b=5b={\color{#e8710a}{5}}b=5

   =6

   c=6c={\color{#129eaf}{6}}c=6

=−5±52−4⋅1⋅6√2⋅1

2

Simplify

3

Separate the equations

4

Solve

Solution

=−2=−3

Step-by-step explanation:

Answer:

x= - 2 or x = - 3

Step-by-step explanation:

Answer:

µ = 2.82

Variance(X) =  0.169

Step-by-step explanation:

The complete question is:

An optical inspection system is to distinguish among different part types. The probability of a correct classification of any part is 0.94. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine:

(a) the mean

(b) variance of X .

Round your answers to three decimal places

Solution:

Part A:

First we have to find the mean.

We have,

n = 3

p = 0.94

µ = n*p

Put the values in the formula:

µ = 3*0.94

µ = 2.82

Part B:

To find the Variance of X:

Var(X) = np(1 - p)

= 2.82(1 - 0.94)

= 2.82(0.06)

= 0.1692

By rounding off:

= 0.169