Answer:
A 1/3 * -2/5 = -2/15
Step-by-step explanation:
1/3 * 2/5 = 2/15
A positive times a negative is a negative
B negative times a positive is a negative
C negative times a negative is a positive
D 1/3 *2/3 = 2/9
Answer:
The change in available disk space is −6% per episode
Step-by-step explanation:
Given that :
Available disk space changed from 81% to 9% after recording 12 episodes of a show
Each episode requires the same amount of disk space
Change in disk space =
Final % = 9%
Initial percentage = 81%
Change = final value - initial value :
(9 - 81)% = -72%
72% reduction in disk space
Space taken up per episode :
Reduction in space / number of episodes
= -72% / 12
=- 6%
1/2 / 3 = 1/2 x 1/3 = 1/6
each person will get 1/6 lb of chocolate
To calculate for the z-score we use the formula:
z=(x-μ)/σ
thus the answers to questions will be as follows:
a]<span>Carmen purchased a 16-ounce can of Nut Munchies and counted 100 peanuts. What is the z-score for this can of peanuts?
</span>x=100
μ=96.3
σ=2.4
z=(100-96.3)/2.4
z=1.542
b]<span>Angelo purchased a 20-ounce can of Gone Nuts and counted 116 peanuts. What is the z-score for this can of peanuts?
x=116
</span>μ=112.6
σ=2.8
<span>thus
z=(116-112.6)/2.8
z=1.214
c]</span><span>Carmen declares that purchasing her can of Nut Munchies with 100 peanuts is less likely than Angelo purchasing a can of Gone Nuts with 116 peanuts. Is Carmen’s statement correct? Use the definition of a z-score to support or refute Carmen’s claim.
This is very correct because because by definition of z-score, Munchies with 100 peanuts is 1.542 away from the mean as compared to Munchies with 116 peanuts which is 1.214 standard deviations from the mean hence the higher likelihood. </span>
Answer:
The taxi ride is 6.5 miles.
Step-by-step explanation:
5x+1.3y=18.45
5(2)+1.3y=18.45
10+1.3y=18.45
1.3y=18.45-10
1.3y=8.45
y=8.45/1.3
y=6.5
