Let the four consecutive integers be
x , x+1, x+2, x+3
ATQ, Their sum is 18
<h3>Now,</h3>
- 1st number = x = 3
- 2nd number = x+1 = 3+1 = 4
- 3rd number = x+2 = 3+2 = 5
- 4th number = x+3 = 3+3 = 6
<em>The four numbers are 3,4,5,6 respectively and the smallest number among them is 3</em><em>.</em><em>.</em><em>.</em><em>~</em>
Answer:
Probabilty of first component drawn defective= 0.1161
Probability of second component drawn defective= 0.1560
Step-by-step explanation:
Total component = 9
Defective component= 3
Non-defective component= 6
Probability of defective= 3/9
= 0.3333
Probabilty of non defective= 1-0.3333
= 0.6666
Probabilty of first component drawn is defective
= 9C1(0.333)¹(0.6666)^8
= 9(0.3333)(0.0387)
= 0.1161
Probabilty of second component is defective
= 8C1(0.3333)¹(0.6666)^7
= 8(0.3333)(0.0585)
= 0.1560
Option (A) : least: 10 hours; greatest: 14 hours
The function f(x) = sin x has all real numbers in its domain, but its range is
−1 ≤ sin x ≤ 1.
How to solve such range questions?
Such questions in which every term is in addition and its range is asked is simplest ones to solve if we know the range of each of term. This can be seen from this question
Given: d(t) = 2sin(xt) + 12
= −1 ≤ sin (xt) ≤ 1.
= −2≤ 2 sin (xt) ≤ 2.
= 10 ≤ 2sin (xt) + 12 ≤ 14
= 10 ≤d(t) ≤ 14
Thus least: 10 hours; greatest: 14 hours
Learn more about range of trigonometric ratios here :
brainly.com/question/14304883
#SPJ4
Okay. All we have to do is look at this graph and see what points out of those answer choices show up. (-2, 4) is on the line (actually where the line intersects) but what about the others? (4, -2) and (4, 3) are not connected with any of the lines, so C and D are eliminated. (3, 4) is on the line, but that's not where both lines intersect. Intersecting lines at a point shows that the point is the solution, in this case (-2, 4) is the solution to this system of equation. The answer is A: (-2, 4).
