Answer:
She answered 36 questions correctly out of the 45 questions.
Answer:
Step-by-step explanation: 1 foot= 12 inches
so length 5.5 inches= 0.458 feet or 5.5/12
width 4 inches= 0.33 feet or 4/12
area 4x5.5= 1.833 feet or 22/12
The probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Given that based on a poll, 60% of adults believe in reincarnation, to determine, assuming that 5 adults are randomly selected, what is the probability that exactly 4 of the selected adults believe in reincarnation, and what is the probability that all of the selected adults believe in reincarnation, the following calculations must be performed:
- 0.6 x 0.6 x 0.6 x 0.6 x 0.4 = X
- 0.36 x 0.36 x 0.4 = X
- 0.1296 x 0.4 = X
- 0.05184 = X
- 0.05184 x 100 = 5.184
- 0.6 x 0.6 x 0.6 x 0.6 x 0.6 = X
- 0.36 x 0.36 x 0.6 = X
- 0.1296 x 0.6 = X
- 0.07776 = X
- 0.07776 x 100 = 7.776
Therefore, the probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Learn more in brainly.com/question/795909
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
Answer:
x=17, x=-7
Step-by-step explanation:
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|x-5|-2 = 10
Another term is moved / added to the right hand side.
|x-5| = 12
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-5|
For the Negative case we'll use -(x-5)
For the Positive case we'll use (x-5)
Step 3 :
Solve the Negative Case
-(x-5) = 12
Multiply
-x+5 = 12
Rearrange and Add up
-x = 7
Multiply both sides by (-1)
x = -7
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(x-5) = 12
Rearrange and Add up
x = 17
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-7
x=17