Respuesta Es -3 (tried my best I’m only in Spanish two my main language is English)
Answer:
the probability that at least one envelope is a yellow envelope is 16/21
Step-by-step explanation:
The probability that at least one envelope is a yellow envelope is P(Y);
P(Y) = 1 - P(Y)'
P(Y)' is the probability that no envelope is a yellow envelope.
Given;
red envelope = 1
blue envelopes = 3
green envelopes = 2
yellow envelopes = 3
Total = 9
Number of non-yellow envelope = 9 -3 = 6
(6 envelope are not yellow)
P(Y)' = P1 × P2 × P3
Since there is no replacement;
P(Y)' = 6/9 × 5/8 × 4/7
P(Y)' = 5/21
From equation 1;
P(Y) = 1 - 5/21
P(Y) = 16/21
the probability that at least one envelope is a yellow envelope is 16/21.
For this case we have the following inequations:
1.5x-1> 6.5
7x + 3 <-25
Clearing x from each one we have:
For 1.5x-1> 6.5:
1.5x> 6.5 + 1
1.5x> 7.5
x> 7.5 / 1.5
x> 5
For 7x + 3 <-25:
7x <-25-3
7x <-28
x <-28/7
x <-4
The solution set is:
(inf, -4) U (5, inf)
Answer:
See attached image
It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t.
This means that:
at a certain time = t seconds
the diameter of the sphere will be equal to t + 3
Based on this:
at t = 3 seconds
diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters
and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule:
volume of sphere = (4/3) x pi x (radius)^3
Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows:
volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3
Answer:
22 ft/s
Step-by-step explanation:
15 mph is 1/4 of 60 mph. At 1/4 the speed, the car will travel 1/4 as far in a second.
1/4×(88 ft/s) = 22 ft/s
