Answer:
It is called a linear system. :)
Y=2 7x2= 14
X= 7 4x7=28
28-14=14
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:
2.99 cm
Step-by-step explanation:
V= 
(pi)(r^3)=113.04cm^3
113.04/ (pi) = r^3 = 26.99
r=![\sqrt[3]{26.99}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B26.99%7D)
= 2.99cm
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
