Answer:20
Step-by-step explanation:
3.1 *4.2=13.02 12.4*21=260.4 260.4/13.02=20
Answer:
a. E(x) = 3.730
b. c = 3.8475
c. 0.4308
Step-by-step explanation:
a.
Given
0 x < 3
F(x) = (x-3)/1.13, 3 < x < 4.13
1 x > 4.13
Calculating E(x)
First, we'll calculate the pdf, f(x).
f(x) is the derivative of F(x)
So, if F(x) = (x-3)/1.13
f(x) = F'(x) = 1/1.13, 3 < x < 4.13
E(x) is the integral of xf(x)
xf(x) = x * 1/1.3 = x/1.3
Integrating x/1.3
E(x) = x²/(2*1.13)
E(x) = x²/2.26 , 3 < x < 4.13
E(x) = (4.13²-3²)/2.16
E(x) = 3.730046296296296
E(x) = 3.730 (approximated)
b.
What is the value c such that P(X < c) = 0.75
First, we'll solve F(c)
F(c) = P(x<c)
F(c) = (c-3)/1.13= 0.75
c - 3 = 1.13 * 0.75
c - 3 = 0.8475
c = 3 + 0.8475
c = 3.8475
c.
What is the probability that X falls within 0.28 minutes of its mean?
Here we'll solve for
P(3.73 - 0.28 < X < 3.73 + 0.28)
= F(3.73 + 0.28) - F(3.73 + 0.28)
= 2*0.28/1.3 = 0.430769
= 0.4308 -- Approximated
1) c= 3.5cm × 22/7
c= 77cm/7 = 11cm
2) c= 2×3.14×5cm
= 6.28× 5cm
=31.4cm
3) L=180/360 × 22/7 × 3cm
= 1/2 × 22/7 ×3cm
=4.71 cm
4) c=12cm ×3.14
=37.68cm
5) c = 4.5cm × 3.14
=14.13cm
6) c = 6.7cm × 3.14
= 21.038cm
Answer: they all are congruent
b n/a c n/a
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
i hope this helps :)
