Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
Answer:
to find the dimension I would get 3.6/4.5=x/70 amd u get 3.6*70=4.5x and u get 252=4.5x and x=56
Step-by-step explanation:
Answer:
(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)
Step-by-step explanation:
(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)
Let's take the fraction and eliminate the negative sign because negative multiply negative= positive
(-2/5)(-8/9)(1/3)(2/7)= 32/945
Answer:
8.1 hours
Step-by-step explanation:
A model of the fraction remaining can be ...
f = (1/2)^(t/37) . . . . t in hours
So, for the fraction remaining being 86%, we can solve for t using ...
0.86 = 0.5^(t/37)
log(0.86) = (t/37)log(0.5)
t = 37·log(0.86)/log(0.5) ≈ 8.0509 ≈ 8.1 . . . hours
It takes about 8.1 hours to decay to 86% of the original concentration.
Answer:
10 Seconds
Step-by-step explanation:
Speed of Elene = 3m/s
Speed of Abbi = 2m/s
Let the time be t seconds taken by Elene to catch abbi.
Distance for any speed S and time is calculated by formula given below
Distance = speed * time
- distance covered by Elene in time t = 3m/s * t = 3t m -->equation A
- distance covered by Abbi in time t = 2m/s* t = 2t m --> equation B
Since it is given that Elene has given abbi 10 m head start it means that
Elene has to run extra 10 meters than Abbi to catch abbi.
Thus we can say that
distance run by Elene = 10 m + distance run by Abbi
Substituting that value distance run by Elene from equation A
and distance run by Abbi from equation B
we have
3t = 2t +10
=>3t - 2t = 10
=> t = 10
Therefore it will take 10 second for elene to catch abbi.
