Answer:
<u>The correct answer is D. ∛ 16</u>
Step-by-step explanation:
The set of irrational numbers is formed by all the decimal numbers whose decimal part has infinite periodic figures, that is, by all those numbers that cannot be represented by the quotient of two integers. The most known irrational number is π = 3.14159265.....
A.√100 = 10 is not an irrational number.
B. 1/8 = 0.125 is not an irrational number.
C. - 2.2675 = - 2 107/400 is not an irrational number.
Answer:
The values of a and b are -1.28 and 1.28 respectively.
Step-by-step explanation:
It is provided that the area of the standard normal distribution between a and b is 80%.
Also it is provided that a < b.
Let us suppose that a = -z and b = z.
Then the probability statement is
Simplify the probability statement as follows:
Use the standard normal distribution table to determine the value of <em>z</em>.
Then the value of <em>z</em> for probability 0.90 is 1.28.
Thus, the value of a and b are:
Thus, .
Answer:
D) x + y ≤ -4
3x + 2y ≤ -5
Step-by-step explanation:
<u><em>Step(i):-</em></u>
we will choose the system of inequalities
x + y ≤ -4
3x + 2y ≤ -5
x + y = -4 ...(i)
3x + 2y = -5..(ii)
Multiply equation (i) with '3'
3x + 3y = -12
3x + 2 y = -5
<u> - - +</u>
<u> 0 + y = -7 </u>
<u>Step(ii):- </u>
Substitute y = -7 in equation (i)
x + y = -4
x - 7 = -4
x = -4 + 7
x = 3
<em>The solution of the given inequalities is ( 3, -7)</em>
<u />
<em>Question:</em>
<em>Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
</em>
<em>The following equation describes this situation 14.2 + (-16,5) = -2.3
.</em>
<em>What does -16.5 tell us?</em>
<em></em>
Answer:
The displacement between his current position and his initial position
Step-by-step explanation:
Given
Required
What does -16.5 represents?
<em>To understand this, we need to first calculate the displacement between his initial and final position</em>
<em></em>
<em>So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)</em>