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Artist 52 [7]
2 years ago
13

A survey of 1,000 men and women asked, "Do you earn over $55,000 per year?" The table below shows the responses for males and fe

males:
Male Female Total

Income over $55,000 475 375 850

Income below $55,000 75 75 150

Total 550 450 1,000



Based on these data, are "being male" and "earning over $55,000" independent events?
Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
6 0

The answer is A, because Men represent 55% of survey respondents, but they represent 475/850 = 56% of those with higher incomes. The answer options include an explanation which says that the conditional probability is not equal to the population probability.

Alona [7]2 years ago
6 0

Answer:

No, P(being male | the person earns over $55,000) ≠ P(being male)

Step-by-step explanation:

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Jack works as a waiter and is keeping track of the tips he earns daily. About how much does Jack have to earn in tips on
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Add all of the days up and divide by 7

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The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require
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Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

\text{Total surface area of cuboid}=2(lb+bh+hl), where,

l = Length of cuboid,

b = Breadth of cuboid,

w = Width of cuboid.

\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)

\text{Total surface area of box}=2(2520+432+840)

\text{Total surface area of box}=2(3792)

\text{Total surface area of box}=7584

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}

80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2

\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=14220\text{ cm}

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}

\text{ Length of canvass}=142.20\text{ m}

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

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2 years ago
Gwendolyn francis is interested in buying a bond that pays $70 annually. the current price of the bond is $800. what is her curr
serg [7]
Below are the choices that can be found from other sources:

<span>A. 4%
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C. 8%
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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
4 0
2 years ago
Helen’s house is located on a rectangular lot that is 1 1/8 miles by 9/10 mile.Estimate the distance around the lot
RUDIKE [14]

Answer:

The distance around the lot is 4.05 miles .

Step-by-step explanation:

Formula

Perimeter\ of\ rectangle = 2 (Length + Breadth)

As given

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ 1 \frac{1}{8}\ miles\ by\ \frac{9}{10}\ mile.

i.e

Helen’s\ house\ is\ located\ on\ a\ rectangular\ lot\ that\ is\ \frac{9}{8}\ miles\ by\ \frac{9}{10}\ mile.

Here

Length = \frac{9}{8}\ miles

Breadth = \frac{9}{10}\ miles

Put in the formula

Perimeter\ of\ rectangle = 2(\frac{9}{8}+\frac{9}{10})

L.C.M of (8,10) = 40

Perimeter\ of\ rectangle = \frac{2\times (9\times 5+9\times 4)}{40}

Perimeter\ of\ rectangle = \frac{2\times (45+36)}{40}

Perimeter\ of\ rectangle = \frac{2\times 81}{40}

Perimeter\ of\ rectangle = \frac{81}{20}

Perimeter of rectangle = 4.05 miles

Therefore the  distance around the lot is 4.05 miles .


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