Find the quotient. 6.345÷0.09

Mathematics

2 answers:

Lorico [155]3 years ago

6 0

Answer:

70.5 OR 70 1/2

Step-by-step explanation:

6.345/0.09=141/2=70.5

Just use a calculator

lesya [120]3 years ago

5 0

Answer:

70.5

Step-by-step explanation:

To find this answer, move the decimal over by two to the right on both ends of the expression.

Then, proceed to divide like normal but don't forget to bring the decimal down for the quotient of the expression.

Hope this helps!

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An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

harkovskaia [24]

Answer:

P(X = 0) = 0.0208, P(X = 1) = 0.2484, P(X = 2) = 0.7308

Step-by-step explanation:

Let's define the following events

A: the first component meet specification

B: the second component meet specification

P(A) = 0.87

P(B) = 0.84

Let X be the random variable that represents the number of components in the assembly that meet specifications. Because there are only two mechanical components in the assembly, X can only take the values 0, 1, 2.

P(X = 0) = P(the first component does not meet specification and the second component does not meet specification) =

$P(A^{c}\cap B^{c}) = P(A^{c})P(B^{c})$ (because of independence)

= (0.13)(0.16) = 0.0208

P(X = 1) = P(only one component meet specification) = P[(the first component meet specification and the second component does not meet specification) or (the first component does not meet specification and the second component meet specification)] =

$P[(A\cap B^{c})\cup (A^{c}\cap B)] = P(A\cap B^{c}) + P(A^{c}\cap B)=$ (because sets are mutually exclusive)