In this current scenario,
Probability of passing, p = 65% = 0.65
Then,
Probability of not passing, q = 1-p = 1-0.65 = 0.35
Part (a): When 15 people are tested
(i) Number of people expected to pass
This is 65% of the 15 people tested. That is,
Number of people expected to pass = 0.65*15 = 9.75. This is rounded downwards as upward rounding will violate the 65% criteria.
Therefore,
Number of people expected to pass = 9 people.
(ii) Probability that 11 people are expected to pass the test
p(x=11) = [15Cx]*p^x*q^(15-x) = [15C11]*0.65^11*0.35^(15-11) = 0.1792 ≈ 17.92%
Part (b): Teenager determined to pass the test no matter how many times
(i) Probability that he passes the test the third time
This means that he will fail the first and second time. That is,
Probability pf passing the third time = q*q*p = 0.35*0.35*0.65 = 0.079625 = 7.9625%
(ii) Number of trials it takes to pass
This is a case of mathematical expected, E, that it takes before first occurrence of success. Normally,
E = 1/p
Substituting;
E = 1/0.65 = 1.54 ≈ 2
Therefore, at least two trials will be required.
Answer:
The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

Step-by-step explanation:
The definition of similarity is the quality of two or more objects having a common definitive property
Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation
The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio
The graph of the function is given below
What is graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
given :
y= √x +3
The attached graph shows the behavior of root graph.
The graph is in the first quadrant and slightly increasing up from unit 3.
Learn more about graph here:
brainly.com/question/16608196
#SPJ1
Answer:
havarti? maybe 4 im sorry if its wrong
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
y=4(3)+5
y=12+5
y=17