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Fittoniya [83]
3 years ago
8

A computer company produces an extremely light laptop and they claim it is the lightest on the market weighing only 32 ounces. t

he actual weight of the laptop in the box has a normal distribution, with a mean of 33 oz. and a standard deviation of 0.7 oz. what proportion of laptops are overweight (i.e., weigh more than 32 oz.)?
Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Solution: We are given:

\mu=0.33,  \sigma =0.7

Let x be the weight (oz) of laptop

We have to find P(x>32)

To find the this probability, we need to find the z score value.

The z score is given below:

z=\frac{x-\mu}{\sigma}

       =\frac{32-33}{0.7}

       =-1.43

Now, we have to find P(z>-1.43)

Using the standard normal table, we have:

P(z>-1.43)=0.9236

0.9236 or 92.36% of laptops are overweight

       


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Answer:

  $66

Step-by-step explanation:

It can be convenient to assign a different variable to the amount of money each spent. We can call the amounts spent by Seedevi, Georgia, and Amy "s", "g", and "a", respectively.

The problem statement tells us ...

  s = (1/2)g

  s = a +6

  s + g + a = 258

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The problem statement asks for the amount Seedevi spent, so we need to find the value of s. It is convenient to write the other variables in terms of s:

  g = 2s

  a = s -6

Then the sum is ...

  s + (2s) +(s -6) = 258

  4s = 264 . . . . . . . . . . . add 6, simplify

  s = 66 . . . . . . . . . . . . . .divide by 4

Seedevi spent $66.

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3 years ago
6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?
svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

            Quantity     Price

Pint           16           $3.98

Quart        32           $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

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3 years ago
Based on the information presented what do think Manny should decide? Option #1: Keep the old car Option #2: Buy the fuel-effici
yaroslaw [1]

Answer:

Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

Step-by-step explanation:

Step 1:

Number of miles Manny commutes per week = 160

Cost per gallon of gasoline. = $2.9

Mileage of old car = 20 miles per gallon

Maintenance cost per year of old car = $760

Cost of new car = $7000

Maintenance cost per month of new car = $10

Mileage of new car = 31 miles per gallon

Step 2:

There are 52 weeks in a year. Total distance Manny will commute in 3 years = 160 * 52 * 3 = 24960 miles

Maintenance cost of old car in 3 years = $760 * 3 = $2280

Maintenance cost of new car in 3 years = $10/month * 12 months * 3 = $360

Gasoline usage of old car in 3 years = 24960 miles/20 miles per gallon = 1248 gallons

Cost of gasoline = 1248 * $2.9 = $3619.2

Gasoline usage of new car in 3 years = 24960 miles/31 miles per gallon

Cost of gasoline = $2.9 * 24960 miles/31 miles per gallon = $2334.97 or approximately $2335

Step 3:

Total expenditure on old car for 3 years = $2280 + $3619.2 = $5899.2

Total expenditure on new car for 3 years = $7000 + $360 + $2335 = $9695

From the calculations above, Manny will spend $5899.2 on the old car compared to $9695 on the new car in three years.

Therefore, Manny should keep the old car since he gets to spend less on it in three years compared to getting the fuel-efficient car.

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