If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523

_____
nCk = n!/(k!(n-k)!)

7 0

3 years ago

The exponential function, f(x)=2^x, undergoes two transformations to g(x)=3x2^x+5. How does the graph change? Select all that ap

Shalnov [3]

Answer: Options A and C.

Step-by-step explanation:

The parent exponential function has the form:

$f(x)=b^x$

This can be transformated as following:

When you multiply the function by a factor a ( $a*f(x)$ ) and a>0 , then the function is vertically stretched.

When you add a number k to the parent function, the function is shifted up ( $f(x)+k$ )

The parent function given in the problem is:

$f(x)=2^x$

To obtain the function $g(x)=3*2^x+5$ , the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.

Therefore, the graph is shifted up and vertically stretched.

5 0

3 years ago

What is proportional reasoning and how does it help you solve percent equations?

nata0808 [166]

Answer:

We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x

Step-by-step explanation:

6 0

3 years ago