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Georgia [21]
2 years ago
8

Peter rolls 2 fair dice and adds the results from each.

Mathematics
2 answers:
VikaD [51]2 years ago
7 0

ANSWER: Well I say that your probability is low. 1/12

VashaNatasha [74]2 years ago
6 0
The only way of getting a total of 11 is rolling a 5 and a 6. On each dice that is a probability of 1/6
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Given a rectangle with length of (2x+9)cm and width of (3x+1)cm.Two squares, each with sides x cm is removed from the rectangle.
il63 [147K]

Answer: The length is 13cm and the width is 7cm

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = W*L

In this case we have:

L = (2*x + 9) cm

W=(3*x + 1) cm

Then the area of the rectangle is:

A = (2*x + 9)*(3*x + 1) cm^2

A = (6*x^2 + 2*x + 27*x + 9) cm^2

A = (6*x^2 + 29*x + 9) cm^2

now we remove two squares with sides of x cm

The area of each one of these squares is (x cm)*(x cm)  = x^2 cm^2

Then the area of the figure will be:

area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2

area = (4*x^2 + 29*x + 9) cm^2

Now we know that the area of this shape is 83 cm^2, then we need to solve:

83 cm^2 = (4*x^2 + 29*x + 9) cm^2

0 =  (4*x^2 + 29*x + 9) cm^2 - 83 cm^2

0 = (4*x^2 + 29*x - 74) cm^2

Then we need to solve:

0 = 4*x^2 + 29*x - 74

Here we can use Bhaskara's equation, the solutions of this equation are given by:

x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)}  }{2*4} = \frac{-29 \pm 45}{8}

Then the two solutions are:

x = (-29 - 45)/8 = -9.25  (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).

The other solution is:

x = (-29 + 45)/8 = 2

x = 2

Then the length and width of the rectangle are:

Length = (2*2 + 9)cm = 13 cm

Width = (3*2 + 1)cm = 7cm

4 0
2 years ago
What is the distributive property of 4 × 14
xxTIMURxx [149]
4x10+4x4 is an example
6 0
3 years ago
A rectangular swimming pool is 50 feet long and 25 feet wide.
Scrat [10]

Answer:

Area = 1250 square feet

Step-by-step explanation:

The formula for area of the bottom of the pool is given by:

Area = length× breadth

          = 50 × 25

          =  1250 square feet

4 0
2 years ago
(Trigonometry) Fill in the blank. Question in the picture. Please help
lisov135 [29]
4 feet? 20/5=4? Not too sure
8 0
3 years ago
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Lynn is a zoo kepper at matlock zoo.her hourly rate is $6.85.she earns $328.80 every week.how many hours does she works in a wee
77julia77 [94]

Answer:

48 hours

Step-by-step explanation:

4 0
2 years ago
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