Mr. Walker, the contest sponsor, bought toy Wheels in a package of six dozen for $81. what was the unit cost of each wheel?

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

1.125

Step-by-step explanation:

the unit cost is how much it cost per wheel

dozen is 12

so 12 times 6 is 72

so then you do 81/72 to get your answer

and you are probably wondering how i got the divison from was because i'm supposed to divide to find a unit cost.

the 81 was the total for the 72 packages of toy wheels

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What is the midpoint between points 1,4 and 9,16

kondaur [170]

Answer:

(5,10)

Step-by-step explanation:

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The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7

hram777 [196]

We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%