Answer:
No
Step-by-step explanation:
Translation only moves a shape from one spot to another.
The events A and B are independent if the probability that event A occurs does not affect the probability that event B occurs.
A and B are independent if the equation P(A∩B) = P(A) P(B) holds true.
P(A∩B) is the probability that both event A and B occur.
Conditional probability is the probability of an event given that some other event first occurs.
P(B|A)=P(A∩B)/P(A)
In the case where events<span> A and B are </span>independent<span> the </span>conditional probability<span> of </span>event<span> B given </span>event<span> A is simply the </span>probability<span> of </span>event<span> B, that is P(B).</span>
Statement 1:A and B are independent events because P(A∣B) = P(A) = 0.12. This is true.
Statement 2:<span>A and B are independent events because P(A∣B) = P(A) = 0.25.
This is true.
Statement 3:</span><span>A and B are not independent events because P(A∣B) = 0.12 and P(A) = 0.25.
This is true.
Statement 4:</span><span>A and B are not independent events because P(A∣B) = 0.375 and P(A) = 0.25
This is true.</span>
Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean, 
= 
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 = 
⇒ 
⇒ 
0.0608 * 
{as sample size is given 30}
⇒ 
= 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.
Area Of Triangle:
4/2 = 2
2x6 = 12
12x2 = 24ft^2
Remaining area:
150 - 24 = 126ft^2
Maximum length:
126/6 = 21
x = 21ft
Answer:
This is a trial and error problem
we can divide 30 eyes by 2 eyes on each animals to know that there is 15 animals
15 animals now make a random guess
Find out the difference of feet. 1 dog has 4 feet - 2 chicken feet = 2 feet increase or decrease so if we need to increase by 2 we add 1 dog and if we need to subtract to then we add 1 chicken
11 dogs and 4 chickens
that is 44 feet + 8 feet = 52 feet
52 - 44 feet needed = 8 feet
8 / 2 feet decrease = 4 more chickens needed
11 - 4 (subtracting 4 dogs off)= 7
4 + 4 (replacing the dogs with chickens)= 8
7 dogs and 8 chickens
7 x 4 = 28
8 x 2 = 16
28 + 16 = 44
7 dogs and 8 chickens
Hope this helps
Step-by-step explanation:
