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 base of the triangle is 15 + 8 = 23 feet
and the angle is 50 degrees
to find the height of the street lamp
multiply the base ( 23) by the Tan(50)
tan(50) x 23 = 27.41 feet rounded to nearest foot would be 27 fee
Answer:
Explanation:
The <em>profit</em> will be the revenue less the cost.
The revenue will be the price times the number of items sold. <em>The price is $40 the piece</em>. Work with a piece.
The total cost of a piece is the sum of the <em>cost of the supplies</em>, the s<em>eller's fees</em> and the <em>shipping costs</em> of a piece:
- Seller's fee: 9% of $40 = 0.09 × $40 = $3.60
- Total cost = $8 + $3.60 + $2 = $13.60
Profit = Revenue - Cost = $40 - $13.60 = $26.40
To find the <em>hourly profit</em> you must divide the profit of a piece by the <em>hours of labor</em> to make a piece.
- Hourly profit = $26.40/1.5hour = $17.60/hour
Answer:
4, because 12/3 is 4 cause 3×4=12
