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kvasek [131]
3 years ago
10

Find the probability. Please show your work. Thanks!

Mathematics
1 answer:
Anni [7]3 years ago
3 0

There were 100 total students surveyed.

There are 41 freshman students that have an ATM card.

The probability is the number of freshman that have an ATM card over the total number of students.

The probability becomes 41/100

Now divide the fraction to get the decimal answer:

41/100 = 0.410

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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
3 years ago
A number divided by 3 less then itself gives a quotient of 8/5. Find the number
Airida [17]
We Can Let "A Number" Be M.
M Divided By 3 Less Than Itself Gives Quotient Of 8/5.
M/(M-3) = 8/5. Lets Solve.

\frac{M}{(M - 3)}  =  \frac{8}{5}
So, What Number Can Have 3 Subtracted From It To Get Five, But Also Be Equal To Eight?
Eight Of Course!!!
So, We Know That The Number Equals 8.
8 0
3 years ago
Can someone please help me
yulyashka [42]

9514 1404 393

Answer:

  D. at the ballpark

Step-by-step explanation:

The y-coordinate doesn't change between points C and D. That means Daniel's distance from home is not changing. Since Daniel rode to the ballpark and back, and since segment CD represents Daniel's farthest distance from home, we conclude ...

  CD represents the time Daniel spent at the ballpark.

5 0
2 years ago
An angle measures 32° more than the measure of its complementary angle. What is the measure of each angle?
Leviafan [203]

Answer:

29° ; 61°

Step-by-step explanation:

Let one angle  = x°

Other angle = (x + 32)°

x + x + 32 = 90   {given they are complementary}

2x + 32 = 90

2x = 90 -32

2x = 58

x = 58/2

x = 29

One angle  = 29°

Other angle = 29 + 32 = 61°            

3 0
3 years ago
Round the decimal to a place of the underlined digit 5.657
kipiarov [429]

Answer:

5.6

Step-by-step explanation:

7 0
3 years ago
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