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>
The area of a square floor on a scale drawing is 81 square centimeters, and the scale drawing is 1 centimeter:2 ft.
so the original area is
A = 81 sq cm ( 2 ft / 1 cm)^2a = 324 sq ft
so the ratio of the ratio the area in the drawing to the actual area is:
r = 81 sq cm / 324 sq ftr = 1 sq cm / 4 sq ft1 sq cm : 4 sq ft
Answer:
Courage is about doing what you believe needs to be done — not in the absence of fear but in spite of it.
Kindness. Kindness is about treating others the way you want to be treated.
Step-by-step explanation:
Answer:
IQR=0.2
Step-by-step explanation:
0.8-0.6=0.2
Answer:
x=1
Step-by-step explanation:
3(x+1)=-2(x-1)+6
3x+3=-2x+2+6
3x+2x=2+6-3
5x=8-3
5x=5
x=
x=1