I hope this helps you
f (x)=(x+2)^3/2
f'(x)=3/2. (x+2)^3/2-1
f'(x)=3/2 (x+2)^1/2
f'(x)=3/2.square root of (x+2)
Answer:
<h2>m = 21, b = 5 → y = 21x + 5</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, b)</em>
The formula of a slope:
=====================================
From the table we have y-intercept (0, 5) → <em>b = 5 </em>and other point (1, 26).
Calculate the slope:
Answer:
a) 0.96
b) 0.016
c) 0.018
d) 0.982
e) x = 2
Step-by-step explanation:
We are given with the Probability density function f(x)= 2/x^3 where x > 1.
<em>Firstly we will calculate the general probability that of P(a < X < b) </em>
P(a < X < b) = =
= { Because }
= =
= =
a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }
Comparing with general probability we get,
P(1 < X < 5) = = = 0.96 .
b) P(X > 8) = P(8 < X < ∞) = 1/ - 1/∞ = 1/64 - 0 = 0.016
c) P(6 < X < 10) = = = 0.018 .
d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)
= + (1/ - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982
e) We have to find x such that P(X < x) = 0.75 ;
⇒ P(1 < X < x) = 0.75
⇒ = 0.75
⇒ = 1 - 0.75 = 0.25
⇒ = ⇒ = 4 ⇒ x =
Therefore, value of x such that P(X < x) = 0.75 is 2.
Answer:
The answer to your question is x = 14.7
Step-by-step explanation:
Data
∠A = 20°
∠B = 46
a = 7
b = x
Process
To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.
The law of sines for this problem is
x / sin 46 = 7 / sin 20
-Solve for x
x = 7 sin 46 / sin 20
-Simplification
x = 7 (0.719) / 0.342
x = 5.035/0.342
-Result
x = 14.7