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kaheart [24]
2 years ago
8

El jardín de Lucia tiene forma de trapecio. Las bases miden 50 y 35 metros y la altura 22 metros.si por cada metro cuadrado plan

ta dos rosales cuantos rosales tendrá en el jardín?
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
7 0

Answer:

<h2>Lucia is able to plant 1,870 rose bushes in her garden.</h2>

Step-by-step explanation:

We know that Lucia's garden has a trapezoid form, where its bases are 50 and 35 meters each and its height is 22 meters.

The area of a trapezoid is defined as

A=\frac{(B+b)h}{2}

Where B=50m, b=35m and h=22m. Replacing these values, we have

A=\frac{(50+35)22}{2}=\frac{(85)22}{2}=85(11)=935 \ m^{2}

Therefore, the area of the garden is 935 square meters.

Now, if Lucia plants two rose bushes per each square meter, then 935 square meters would be equivalent to

n=935 \ m^{2}  \times \frac{2 \ bushes}{1 \ m^{2} } =1,870 \ bushes

Therefore, Lucia is able to plant 1,870 rose bushes in her garden.

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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
The owner of a chain of supermarkets notices that there is a positive correlation between the sales of beer and the sales of ice
Dmitry_Shevchenko [17]

Answer:

D. the sale of beer and ice cream may both be affected by another variable such as the outside temperature.

Step-by-step explanation:

A. There is no evidence to indicate that the positive correlation observed is an error.

B. Even though there is a positive correlation between beer and ice cream sales, there is no evident cause and consequence relationship.

C. The relationship isn't necessarily linear.

D. It is plausible to assume that the sales of beer and ice cream are both affected by another variable like temperature. Both of the products are usually consumed cold and should see an increase in sales during warmer seasons and a decrease in sales during colder seasons.

4 0
2 years ago
Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
2 years ago
a cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. estimate the volume of the cylinder to th
oee [108]
I divided 339 by 6 and got 56.5. That quotient rounded to the nearest whole number is 57. I hope I helped you.
4 0
2 years ago
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by th
Soloha48 [4]

It is given in the question that

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation

K = C + 273.15

To solve for C, we need to get rid of 273.15 and for that we do subtraction, that is

C = K -273.15

Correct option is the first option .

6 0
2 years ago
Read 2 more answers
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