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beks73 [17]
2 years ago
11

you have 1200 feet of fencing enclose a rectangular region and subdivide it into three smaller rectangular regions by placing tw

o fences parallel to one of the sides. Express the area of the enclosed rectangular region, as a function of the length the fence that divides the rectangular region, x
Mathematics
1 answer:
miss Akunina [59]2 years ago
8 0

Answer:

400

Step-by-step explanation:

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Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

4 0
3 years ago
Find the area of the shaded region round to the nearest tenth
Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right).

Using the formula A=\frac{1}{2} ab \sin C, we get the area of the triangle is \frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}).

So, the area of the shaded sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}

6 0
2 years ago
a rectangular pyramid has a volume of 190 cubic centimeters. Find two possible sets of measurements for the base area and height
DerKrebs [107]
<h3>One possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively</h3><h3>Other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively</h3>

<em><u>Solution:</u></em>

<em><u>The volume of rectangular pyramid is given as:</u></em>

Volume = \frac{1}{3} \times base\ area \times height

Given that,

<em><u>Rectangular pyramid has a volume of 190 cubic centimeters</u></em>

<em><u></u></em>190= \frac{1}{3} \times base\ area \times height<em><u></u></em>

<em><u>Substitute, base area = 570 and height = 1</u></em>

Then we get,

190 = \frac{1}{3} \times 570 \times 1\\\\190 = 190

Thus one possible set for the base area and height of the pyramid is 570 cm and 1 cm respectively

<em><u>Substitute, base area = 285 and height = 2</u></em>

190 = \frac{1}{3} \times 285 \times 2\\\\190 = \frac{1}{3} \times 570\\\\190 = 190

Thus other possible set for the base area and height of the pyramid is 285 cm and 2 cm respectively

6 0
3 years ago
The table shows the battery life of four different mobile phones:
Pie

Answer:

A 20

Step-by-step explanation:

Given

Phone Battery Life (hours)

A 20

B 25

C 10

D 18

8.45% of the battery life of each mobile phone is used in a day by a typical user

Calculating Hours of battery life in a day for each mobile

A 20

Battery life for A = \frac{8.45}{100}\times 20 = 1.69hours

B 25

Battery life for B = \frac{8.45}{100}\times 25 = 2.11hours

C 10

Battery life for C = \frac{8.45}{100}\times 10 = 0.845hours

D 18

Battery life for D = \frac{8.45}{100}\times 18 = 1.52hours

Therefor Mobile phone A 20  uses a total of 1.69 hours of battery life in a day

4 0
3 years ago
Raise aquarium is 20 inches long 20 inches wide and has a height of 15 inches Randles aquarium is 40 inches long 12 inches wide
Westkost [7]
Raise aquarium is 6000 inches
Randle aqarium is 5760 inches

Raise has the bigger aquarium by 240 inches
4 0
3 years ago
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