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exis [7]
3 years ago
8

During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las

ted 1 4/5 times as long as the first one. How long was the second debate? Estimate the product. Then find the actual product.
Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

3\frac {6}{25} hrs \ or \ 3 hrs\  14 mins \ 24 sec

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

1\frac {4}{5} \ hrs

-and the second lasted

1\frac {4}{5} hrs times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be:

\frac {9}{5}

-Now multiplying

\frac {9}{5}\times\frac{9}{5}\\\\=\frac{81}{25}=3\frac{6}{25}hrs

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lina2011 [118]
These are the events in the question above:

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<span>H - healthy (does not have disease) 
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<span>P - tests positive </span>

<span>It is the probability that a person has the disease AND tests positive divided by the probability that the person tests positive.
</span>
Sick, + [.04*.91] = .0364 

<span>Sick, - [.04*.09] = .0036 </span>

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7 0
4 years ago
To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. identify the type of relation between cent
Westkost [7]
Hey there! Hello!

This can be represented by the equation y=2.54x, where:

y=measurement in inches
x=measurement in cm

You can plug any value into this problem to reveal that this is a linear function. I provided a graph of this to further prove the point. 

Hope this helped you out, feel free to ask any additional questions if you need further clarification! :-)

4 0
4 years ago
A large rectangular area is to be fenced off ( a large rectangle divided into 2 smaller rectangles). The fence used to divide th
Anvisha [2.4K]

Answer:

Length of area is 857.14 ft

Width of area is 857.14 ft

Length of dividing fence is 857.14 ft

Step-by-step explanation:

Here we have

Area of rectangle = Length × Width

The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;

Length of rectangle = Width of rectangle = x

Hence,  the perimeter of the area = 4·x, while the width of the dividing fence = x

Therefore, since the we have;

Cost of the perimeter fence = $15/foot

Cost of the dividing fence = $10/foot

Then;

4·x × 15 + x × 10 = 60000

60·x + 10·x = 60000

x = 60000/70 = 857.14 ft

Which gives the following dimensions;

Length of area = 857.14 ft

Width of area = 857.14 ft

Length of dividing fence = 857.14 ft.

3 0
3 years ago
Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 i
RUDIKE [14]

Answer:

146 ft²

21.6 tiles

1.8 boxes

Step-by-step explanation:

Please find attached an image of the family room used in answering this question

the family room has the following shapes : 2 triangles and one rectangle

the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together

area of a rectangle = length x breadth

16 x 7 = 112 ft²

Area of a triangle = 1/2 x base x height

Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²

Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²

Sum of the areas = 112 + 6 + 28 = 146 ft²

b.

1. First convert the area of the room to inches

1 ft = 12 in

146 x 12 = 1752 in²

2. the next step is to determine the area of the tile

area of a square = length²

9² = 81 in²

3. Divide the area of the room by the area of the tile

1752 / 81 = 21.6 tiles

c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes

6 0
3 years ago
The graphs below have the same shape.What is the equation of the red graph ?
Sindrei [870]

Answer:

B. G(x) = x³ - 5

Step-by-step explanation:

The graphs below are the same shape. They share the same formula but different y-intercepts.

F(x) = x³ has a y-intercept of 0.

F(x) = x³ + 0

G(x) has a y-intercept of -5.

G(x) = x³ - 5

3 0
4 years ago
Read 2 more answers
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