Answer:
the graph corresponds to function "D" 
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
while function D at x = 0 gives:
Therefore, the graph corresponds to function "D"
Step-by-step explanation:
The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.
In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)
Answer:
a) 45 possible outcomes
b) 55 possible outcomes
Step-by-step explanation:
Given:
- Total cavities = 12
- Selection = 3 parts
- Non-conforming cavities = 2
Find:
a) How many samples contain exactly 1 nonconforming part?
b) How many samples contain at least 1 nonconforming part?
Solution:
- The question asks for the use of combinations to express the outcomes for each scenario.
- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.
( Exactly 1 ) 10C2 = 45 possible outcomes
- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:
( Exactly 2 ) 10C1 = 10 possible outcomes
- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:
(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )
(At-least 1 ) = 45 + 10 = 55 possible outcomes
Answer:
use desmos :)) it helps
Step-by-step explanation:
Answer:
a. 0.9 miles
b. 0.54 miles
c. 1.44 miles
Step-by-step explanation:
