What percent os 3/4 is 1/8

Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the aver

Ray Of Light [21]

Answer: 4

Step-by-step explanation:

Let N be the total number of runs.

The microscopes per year will be equal to the total number of runs * microscopes per run

total number of microscopes = total number of runs * microscopes per run

now we have each run to cost 2500, therefore:

run costs = 2500 * total runs = 2500*N

we also have insurance and storage costs (note the average thats why we divide by 2):

storage costs = 20* microscopes per run /2 = 20*N/2

insurance costs = 15 * microscopes per run = 15*N

the costs are:

costs = run costs + storage + insurance

now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs

costs = 2500N + 40000/N => C(N) = 2500N + 40000/N

now derivate the function with respect to N and equal to 0:

$\frac{d}{dN}(2500N + 40000/N) = 2500(1-16/N^2) \\\\ 2500(1-16/N^2) = 0\\$

this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer

have a nice day

4 0

2 years ago

Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s)

natulia [17]

Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

3 0

2 years ago

Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood. A botanist studying th

alukav5142 [94]

Answer:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

Step-by-step explanation:

Hello!

The historical information indicates that 60% of the forest trees are classified as softwood.

A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:

H₀: p = 0.60

H₁: p > 0.60

p-value: 0.015

You need to interpret this p-value. Little reminder:

The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.

The correct answer is:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

I hope this helps!

8 0

2 years ago

sarah has a solid wooden cube with a length of 4/5 centimeter. from eaxh of its 8 corners, she cuts out a smaller cube with a le

faltersainse [42]

First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³

Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³

Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>

5 0

2 years ago

Read 2 more answers

In a family there are five sons. The oldest son is 11 3/4 years old, and every next younger brother is younger than the next by

timama [110]

Answer:

the youngest brother is of 2 years and 5 months

if this rule still applies, the next son will be born in 2 months.

Step-by-step explanation:

Given that:

Oldest son= 11 3/4 years old = 11 years 3/4 (12) months = 11 years 9 months

Difference = 2 years 7/12(12) months = 2 years 7 moths

So for finding the age of youngest brother:

Subtract the difference others from age of oldest:

= 11 years 9 months - 4(2 years 7 months)

= 11 years 9 months - 9 years 4 months

= 2 years 5 months

So the youngest brother is of 2 years and 5 months

if this rule still applies, the next son will be born in 2 months.

i hope it will help you!

5 0

2 years ago

Read 2 more answers