The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80).
Note that the number of defectives in the inventory is fixed, i.e., we are not told that there
is 1
8 probability that a modem in the inventory is defective, but rather that exactly 1
8
of
all modems are defective. The probability that exactly two modems in a random sample
of five are defective is = 0.102
Answer:
A
Step-by-step explanation:
Just switch the orders around where it is going from the highest power to the lowest power
Answer:
1. 216.8 N
2.328.635 N
3. 405.153 N
4. 580.752 N
5. 765.18 N
Step-by-step explanation:
1. Let the mass is 22.1 kg, then the weight in Newton will be (22.1 × 9.81) = 216.8 N {Where acceleration due to gravity is 9.81 m/sec²}
2. Let the mass is 33.5 kg, then the weight in Newton will be (33.5 × 9.81) = 328.635 N {Where acceleration due to gravity is 9.81 m/sec²}
3. Let the mass is 41.3 kg, then the weight in Newton will be (41.3 × 9.81) = 405.153 N {Where acceleration due to gravity is 9.81 m/sec²}
4. Let the mass is 59.2 kg, then the weight in Newton will be (59.2 × 9.81) = 580.752 N {Where acceleration due to gravity is 9.81 m/sec²}
5. Let the mass is 78 kg, then the weight in Newton will be (78 × 9.81) = 765.18 N {Where acceleration due to gravity is 9.81 m/sec²}
(Answer)
Answer:
x = -3, y = -7
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
Solve 2x - 1 = 3x + 2 for x.
-x - 1 = 2
-x = 3
x = -3
Evaluate y when x = -3
y = 3 (-3) + 2
y = -7
(-3, -7)
<em>good luck, i hope this helps :)</em>
Answer:
point-slope form
(standard form)
Let me know if you prefer another form.
Step-by-step explanation:
The slope of a line can be found using
provided you are given two points on the line.
We are.
Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.
(4/5 , 1/5)
-( 1/2 , 3/2)
-----------------
3/10 -13/10
2nd/1st =
is our slope.
So the following is point-slope form for a linear equaiton:
Plug in a point
.
This gives:
I'm going to distribute:

Now I don't like these fractions so I'm going to multiply both sides by the least common multiply of 2,3, and 6 which is 6:

Add 26x on both sides:

Add 9 on both sides:
This is actually standard form of a line.
It can be simplified though.
Divide both sides by 2:
(standard form)