Answer:
The correct option is;
We cannot infer a cause and effect relationship because the multiple variables were included
Step-by-step explanation:
The criteria required in order to establish a cause and effect relationship includes the following;
1) There must be a temporal precedence between the cause and the effect such that the cause must take place before the effect
In the question, it is not clearly stated weather there was a divorce (the likely cause) takes place before the event
2) In the vent that the cause occurs, the effect must occur
Therefore, all those who are not married are expected to be deceased for there to be a cause and effect relationship
3) The cause and effect relationship must not be explicable by other factors
In the question, it is stated that those who were married were more likely to be active physically, maintain an healthy weight and were nonsmokers, which are factors that contribute to longevity.
Answer:
probability that all of the sprinklers will operate correctly in a fire: 0.0282
Step-by-step explanation:
In order to solve this question we will use Binomial probability distribution because:
- In the question it is given that the sprinklers activate correctly or not independently.
- The number of outcomes are two i.e. sprinklers activate correctly or not.
A binomial distribution is a probability of a success or failures outcomes in an repeated multiple or n times.
Number of outcomes of this distributions are two.
The formula is:
b(x; n, P) = 
b = binomial probability also represented as P(X=x)
x =no of successes
P = probability of a success on a single trial
n = no of trials
is calculated as:
= n! / x!(n – x)!
= 10! / 10!(10-10)!
= 1
According to given question:
probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.
number of trials i.e. n = 10 as number of sprinklers are 10
To find: probability that all of the sprinklers will operate correctly in a fire
X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them
So putting these into the formula:
P(X=x) =
= C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰
= 1 * 0.0282 * (0.3) ⁰
= 1 * 0.0282 * 1
P(X=x) = 0.0282
First transformation.
Duadrilateral ABCD has vertices with such coordinates:
- A(15,10);
- B(15,20);
- C(20,15);
- D(20,5).
Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then
- A(15,10)→A'(15,10);
- B(15,20)→B'(5,10);
- C(20,15)→C'(10,15);
- D(20,5)→D'(20,15).
Second transformation.
1. A reflection across the y axis has a rule:
(x,y)→(-x,y).
Then
- A'(15,10)→A''(-15,10);
- B'(5,10)→B''(-5,10);
- C'(10,15)→C''(-10,15);
- D'(20,15)→D''(-20,15).
2. A translation 20 units down has a rule:
(x,y)→(x,y-20).
Then
- A''(-15,10)→G(-15,-10);
- B''(-5,10)→H(-5,-10);
- C''(-10,15)→I(-10,-5);
- D''(-20,15)→J(-20,-5).
Answer: first blank -B, second blank - B.
Answer:
448 fl oz
Step-by-step explanation:
there are 7 days in a week. 4*7 is 28
28 pints to ounces is 448 fl oz
Digit numbers.
Let the numbers 00 to 89 represent that the train is on time.
Let the numbers between 90 and 99 represent that the train is late.
Randomly select 6 numbers, with repetition allowed.
Count the number of times the train is late.
Repeat this simulation multiple times.
You will most likely obtain a result of between 0 and 2 times that the train is late.
