Answer:
Step-by-step explanation:
V = L*W*H
V= (4/3)*(4/3)*(4/3)
Volume = 
Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 206 mg
Sample mean, 
= 217.5 mg
Sample size, n = 14
Sample standard deviation, s = 14.9 mg
Claim:
The mean sodium content for the sports drink is not 206 mg. It is different than 206 mg.
Thus, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
7^2 - 3 + 9 x 8 / 2
49 - 3 + 9 x 8 / 2
49 - 3 + 72/2
49 - 3 + 36
46 + 36
82
w = 82
Answer:
a) 820
b)450
c) -540
d) -294
e) 1440
f) 1425
Step-by-step explanation:
a) it is an arithmetic progression with ratio=4
a1=3,
a2=3+r=3+4=7.....
a20=a1+19r
so a20=3+19*4=3+76=79
S=(a1+an)*n/2 where n=20
so S=(3+79)*20/2=820
b) a15=a1+14*r=2+14*4=2+56=58
S=(a1+a15)*15/2=(2+58)*15/2=60*15/2=30*15=450
It is the same formula for all the exercises
S=(a1+an)*n/2 , where n is the number of terms
c) a40=30+39*(-3)=30-87=-57
So S=(30-57)*40/2=-540
d) a14=5+13*(-4)=5-52=-47
S=(5-47)*14/2=-42*14/2=-42*7=-294
e) it is 5+7+9+......+75
nr of terms = (an-a1) :r+1=(75-5):2+1=36
S=(5+75)*36/2=36*40=1440
f) ratio=7-4=3
the same formula for n= (91-4):3+1=87:3+1=29+1=30
S=(4+91)*30/2=95*30/2=2850/2=1425
Answer:
3/4 and 1/6 are already reduced the farthest they can go.
