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2 years ago

4.06 Question 2

Mathematics

1 answer:

Rudiy272 years ago

4 0

Answer:

$\large\boxed{C.\ 75 < x < 110\ and\ 0 < y\leq50}$

Step-by-step explanation:

x - the temperature

y - the number of people

the temperature is between 75 degrees and 110 degrees:

75 < x < 110

the room for 50 people:

0 < y ≤ 50

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How would I do part A. I showed my work but I'm slightly off

ahrayia [7]

$\bf \stackrel{\textit{perimeter of the rectangle}}{P_{rect}=2x+y}~\hfill \stackrel{\textit{area of the rectangle}}{A_{rect}=xy}
\\\\\\
\stackrel{\textit{perimeter of the semi-circle, with }r=\frac{y}{2}}{P_{semic}=\cfrac{\pi y}{2}}~\hfill \stackrel{\textit{area of the semi-circle with }r=\frac{y}{2}}{A_{semic}=\cfrac{\pi y^2}{8}}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \stackrel{\textit{perimeter of the enclosure}}{60=2x+y+\cfrac{\pi y}{2}}\implies \stackrel{\textit{multiplying by 2}}{120=4x+2y+\pi y}
\\\\\\
120-2y-\pi y=4x\implies \cfrac{120-2y-\pi y}{4}=x
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \stackrel{\textit{area of the enclosure}}{A=xy+\cfrac{\pi y^2}{8}}\implies A=\left( \cfrac{120-2y-\pi y}{4} \right)y+\cfrac{\pi y^2}{8}
\\\\\\
A=\cfrac{120y-2y^2-\pi y^2}{4}+\cfrac{\pi y^2}{8}\implies A=\cfrac{240y-4y^2-2\pi y^2+\pi y^2}{8}
\\\\\\
A=\cfrac{240y-4y^2-\pi y^2}{8}\implies A=\cfrac{240y}{8}-\cfrac{4y^2}{8}-\cfrac{\pi y^2}{8}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
~\hfill A=30y-\cfrac{1}{2}y^2-\cfrac{1}{8}\pi y^2~\hfill$

5 0

2 years ago

Somebody help #9 geometry

IrinaK [193]

Answer:

$41.1units^2$

Step-by-step explanation:

$A=\frac{h_{b}b }{2} \\=\frac{8*4}{2} \\=16units^2$ (triangle)

$A=\frac{\pi r^2}{2}\\\frac{\pi 4^2}{2}\\=25.13units^2$ (semicircle)

Add both together

$16+25.13\\=41.13units^2$

4 0

2 years ago

Question 6 Distance = 90 km, Time = 1 hour 30 minutes, speed = ? km/h = Question 10 please help

olga_2 [115]

Answer:

60km/h

Step-by-step explanation:

90 ÷ 1.5

= 60

60 km/h

5 0

2 years ago

The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined

zlopas [31]

The probability that a randomly selected score is greater than 334 will be 0.02275.

<h3>What is a normal distribution?</h3>

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.

Then the probability that a randomly selected score is greater than 334 will be

The z-score is given as

z = (x - μ)/σ

z = (334 - 310)/12

z = 24/12

z = 2

Then the probability will be

P(x > 334) = P(z > 2)

P(x > 334) = 1 - P(x<334)

P(x > 334) = 1 - 0.97725

P(x > 334) = 0.02275

More about the normal distribution link is given below.

brainly.com/question/12421652

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6 0

1 year ago

3. Connor works part-time at Tom Thumb. On Wednesday, Thursday and Friday, he

erik [133]

Wednesday he made $29
Thursday he made $22
Friday he made $34

3 0

3 years ago

Read 2 more answers