Answer:
n= -3
Step-by-step explanation:
First, your're going to subtract from both sides
6n + 21 - 2 1= -3 - 2n - 21
Then simplify
6n = -2n - 24
Then add 2n on both sides
6n + 2n = -2n -24 + 2n
Simplify again
8n = -24
Then divide both sides by 8
8n/8 = -24/8
Then simplify and this is your answer
n= -3
Answer:
If there are 1000 customers in the store one week, how many will purchase exactly one of these items
1000 CUSTOMERS*28%=280
Step-by-step explanation:
A The event that a persons buys a suit
B The event that a person buys a shirt
C The event that a person buys a tie
P(A)= 22%
P(B)= 30%
P(C)= 28%
P(AB)=
11%
P(AC)=
14%
P(BC)=
10%
P(ABC)=
6%
A u B u C Is the event that any item is bougth
AC u AC u BC Is the event that any two events occured
So the wanted probability is
P[(A u B u C )(AB u AC u BC)^c
P[(A u B u C )=P(AB)+ P(BC)+P(BC)
P[(A u B u C ) =0.22+0.30+0.28-0.11-0.14.-0.10+0.06
=0,51
0,51=+0,23+P[(A u B u C )(AB u AC u BC)^c
=0,28
1000 CUSTOMERS*28%=280
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC =
= 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Answer:
The 95% confidence interval is "87.94, 91.86".
Step-by-step explanation:
The given values are:
Sample batches,
n = 25
Sample mean concentration,
= 89.9 mg
Amount of chemical,
σ = 5
α = 0.05
The critical value from Z table will be:
= 
= 
= 
Now,
The confidence interval will be:
= 
On substituting the values, we get
= 
= 
= 
Lower limit will be:
= 
= 
Upper limit will be:
= 
= 
Since we know that:
C = 2πr
(With C = 36π ; Substitute in to the equation)
36π = 2πr (dividing both sides by 2π)
r = 18 cm