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VladimirAG [237]
3 years ago
14

A bottle contains 20fluid ounces of lotion and sells for $5.80.The 20-fluid -ounce bottle contains 125% of the lotion in the nex

t smallest size, which sells for $5.12.Which is the better buy.Explain.
Mathematics
1 answer:
daser333 [38]3 years ago
7 0
If the 20 fl.oz bottle contains 125% of the next smallest size, the next smallest bottle should be 4/5 of the 20fl. oz bottle.
That means the smaller bottle has 16 fl. oz (you can check it, multiply 16 by 1.25 and you get 20).
Next, you can find the price as dollars per fluid ounce.
The bigger bottle will be: 5.8/20=$0.29
The smaller bottle: 5.12/16=$0.32
In this case, the larger bottle is the better buy because you pay less per fluid ounce of lotion.
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An office manager has received a report from a consultant that includes a section on equipment replacement. the report indicates
wolverine [178]

Answer:

a) 22.663%

b) 44%

c) 38.3%

Explanation:

An office manager has received a report from a consultant that includes a section on equipment replacement. The report indicates that scanners have a service life that is normally distributed with a mean of 41 months and a standard deviation of 4 months. On the basis of this information, determine the percentage of scanners that can be expected to fail in the following time periods:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 41 months

σ is the population standard deviation = 4 months

a. Before 38 months of service

Before in z score score means less than 38 months

Hence,

z = 38 - 41/4

z = -0.75

Probability value from Z-Table:

P(x<38) = 0.22663

Converting to percentage = 0.22663 × 100

= 22.663%

b. Between 40 and 45 months of service

For x = 40 months

z = 40 - 41/4

z = -0.2

Probaility value from Z-Table:

P(x =40) = 0.40129

For x = 45

z = 45 - 41/4

z = 1

Probability value from Z-Table:

P(x = 45) = 0.84134

Between 40 and 45 months of service

= 0.84134 - 0.40129

= 0.44005

Converting to Percentage

= 0.44005 × 100

= 44.005%

= 44%

c. Wihin ± 2 months of the mean life

+ 2 months = 41 months + 2 months

= 43 month

- 2 months = 41 months - 2 months

= 39 months

For x = 43

z = 43 - 41 /4

z = 0.5

P-value from Z-Table:

P(x = 43) = 0.69146

For x = 39

z = 39 - 41/4

z = -2/4

z = -0.5

Probability value from Z-Table:

P(x = 39) = 0.30854

Within ± 2 months of the mean life

= 0.69146 - 0.30854

= 0.38292

= 38.3%

Learn more about z-score:

brainly.com/question/17436641

#SPJ4

4 0
2 years ago
Solution to this inequality <br> 12&lt;8+x
ra1l [238]

Answer:

x > 4 or 4<x

Step-by-step explanation:

12<8+x

You can rewrite it for easier look:

8+x>12

Suvtract 8 from both side:

8+x-8>12-8

0+x > 4

x > 4 or 4<x

Hope this help you :3

6 0
3 years ago
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On the teacher’s desk there were 5 boxes of pencils, j pencils in each. How many pencils were there on the desk?
sesenic [268]

Answer:

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Step-by-step explanation:

Multiply the number of boxes time the pencils in each box

5j

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pam and mary each baked brownies. pam cut her pan into 6 pieces and gave away 4 of then.Many only cut her pan into 3 pieces and
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Answer:

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Step-by-step explanation:

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