Answer:
see explaination
Step-by-step explanation:
Here the null hypothesis is that the PCB survives against the alternate that the PCB 'does not survive'. The test says that the PCB will survice if it is classified as 'good'; or, it will not survive if it is classifies as 'bad'.
a. The Type II error is the error committed when a PCB which cannot actually survive is classified as 'good'.
b. Therefore P(Type II error) = P(The PCB is classified as 'good' | PCB does not survives) = 0.03.
We can use Law of Cosines to solve for the angle of Z. The solution is shown below:
cos C=(a²+b²-c²)/2ab
cos Z = (yz² + xz² - xy² )/2*yz*xz
cos Z = (20² + 25 - 13²)/2*20*25
cos Z = 856 / 1000
Z=31.13°
The answer is angle 31.13°.
Hello,
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Answer B
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2x²+28x-5=2(x²+2*7x+49)-5-2*48
=2(x+7)²-103
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Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event 
and 
are independent, then
. (
is the probability that the outcome of both event and event are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator 
or the prime superscript 
denotes that an event does not happen.
.
.
Since the two events 
and 
, 
and 
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:
.
Answer:
Step-by-step explanation:
Let x be the number of adults and y be the number of campers.
There are rooms for 450 people, so
x+y≤450.
Each adult costs $7, then x adults cost $7x.
Each camper costs $4, then y campers cost $4y.
There is a maximum budget of $1,150, so
7x+4y≤1,150
Hence, you get the system of two inequalities:
