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1 year ago

Simon has 160160160 meters of fencing to build a rectangular garden.

Mathematics

2 answers:

yaroslaw [1]1 year ago

6 0

Answer:

Step-by-step explanation:

had it on khan

Vladimir79 [104]1 year ago

6 0

Answer:

its 40

Step-by-step explanation:

took test on kahn

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Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 400 seconds a

garri49 [273]

Answer:

Step-by-step explanation:

In the normal distribution curve, the mean is in the middle and each line to the left and to the right of that mean represent 1- and 1+ the standard deviation. If our mean is 400, then 400 + 50 = 450; 450 + 50 = 500; 500 + 50 = 550. Going from the mean to the left, we subtract the standard deviation and 400 - 50 = 350; 350 - 50 = 300; 300 - 50 = 250. We are interested in the range that falls between 350 and 450 as a percentage. That range represents the two middle sections, each containing 34% of the data. So the total percentage of response times is 68%. We are looking then for 68% of the 144 emergency response times in town. .68(144) = 97.92 or 98 emergencies that have response times of between 350 and 450 seconds.

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2 years ago

Read 2 more answers

Find the area of the part of the plane 5x + 4y + z = 20 that lies in the first octant.

BlackZzzverrR [31]

This part of the plane is a triangle. Call it $\mathcal S$ . We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that $y=z=0$ means $5x=20\implies x=4$ , so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.

Next, we can parameterize the surface by

$\mathbf s(u,v)=\langle4(1-u)(1-v),5u(1-v),20v\rangle$

so that the surface element is

$\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|=20\sqrt{42}(1-v)\,\mathrm du\,\mathrm dv$

Then the area of $\mathcal S$ is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=20\sqrt{42}\int_{u=0}^{u=1}\int_{v=0}^{v=1}(1-v)\,\mathrm dv\,\mathrm du$
$\displaystyle=20\sqrt{42}\int_{v=0}^{v=1}(1-v)\,\mathrm dv=10\sqrt{42}\approx64.8074$

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2 years ago

Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not kn

SSSSS [86.1K]

The unknown side is 9. Because 9 x 5= 45, 45 being the perimeter, that is 5 times the unknown side. And 45 is the sum of 9, 16, and 20.

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2 years ago

The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

vladimir2022 [97]

Answer:

Step-by-step explanation:

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2 years ago

Mrs. Epps buys 500 bags of balloons for the high school prom for $250. What is the cost per bag?

Andrej [43]

.50 is the answer I think, hope this helps

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2 years ago