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3 years ago

A bee has mass of 0.02 kg

Mathematics

1 answer:

Degger [83]3 years ago

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A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard. Find a

vekshin1

Answer: $(13.28\%,\ 18.72\%)$

Step-by-step explanation:

Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.

i.e. n= 700 and x= 112

Sample proportion : $\hat{p}=\dfrac{x}{n}=\dfrac{112}{700}=0.16$

z-value for 95% confidence interval : $z_c=1.960$

Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.16\pm (1.96)\sqrt{\dfrac{0.16(1-0.16)}{700}}$

$=0.16\pm (1.96)(0.013856)\\\\\approx 0.16\pm0.0272\\\\ =(0.16-0.0272,\ 0.16+0.0272)=(0.1328,\ 0.1872)=(13.28\%,\ 18.72\%)$

Hence, 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard : $(13.28\%,\ 18.72\%)$

6 0

3 years ago

Andrew is at point A. A deer is 3km directly north of Andrew, at point D. Brian is 1.8 km due west of Andrew at point B. Calcula

Vesna [10]

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4 years ago

SURFACE AREAS - PYRAMIDS?

Bond [772]

The total surface area consists of the base area and the surface area (the area of all lateral faces). The base is a hexagon with side a=3 cm.

$A_{hexagon}=6A_{triangle}=6\cdot \dfrac{1}{2} \cdot \dfrac{a^2\sqrt{3}}{4} =\dfrac{3}{4} \cdot 3^2\cdot \sqrt{3}=\dfrac{27\sqrt{3}}{4}$ sq. cm.

Each lateral face is an isosceles triangle with height h=12 cm and base a=3 cm. The area of one such lateral triangle is

$A_{lateral}=\dfrac{1}{2}\cdot h\cdot a= \dfrac{1}{2}\cdot 12\cdot 3=18$ sq. cm.

Then the total surface area is:

$A_{total}= \dfrac{27\sqrt{3}}{4} +6\cdot 18=\dfrac{27\sqrt{3}}{4} +108=11.7+108=119.7$ sq. cm.

Answer: 119.7 sq. cm.

7 0

4 years ago

A box of ice cream bars had a regular price of $60. The discount is 10% off the price. Calculate the new price after the discoun

marysya [2.9K]

60 * 0.10 = 6
$6 price off
60 - 6 = $54
Solution: new price: $54

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3 years ago

The volume of a cube is 27 cubic inches. What is the length of each edge of this cube?

kupik [55]

Answer:

c. 3 inches

Step-by-step explanation:

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3 years ago

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