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Inessa05 [86]
3 years ago
6

A bag contains 18 blocks numbered from 1 to 18. Two blocks are selected from the bag at the same time. Let event E = the two num

bers differ by 11. How many outcomes are in E? A) 7 B) 14 C) 28 D) 292
Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

A) 7

Step-by-step explanation:

E is when the numbers differ by 11, so these pairs work:

(1, 12), (2, 13), (3, 14), (4, 15), (5, 16), (6, 17), (7, 18)

Thus, there are 7 outcomes where the numbers differ by 1

inysia [295]3 years ago
5 0
The correct answer is A 7
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A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
3 years ago
A. Explain how Diego might use his<br> parallelogram to find the area of the<br> triangle.
puteri [66]

Answer:

To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram.

Step-by-step explanation:

7 0
3 years ago
I need help, please im stuck on this problem
Mazyrski [523]

Answer:

<em>0</em><em>.</em><em>0</em><em>3</em><em>5</em><em> </em><em>gram</em><em>.</em><em>.</em><em>.</em><em>.</em>

Step-by-step explanation:

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7 0
2 years ago
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How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a speed of 55 km/hr? *
VashaNatasha [74]

Answer:

3.63 i think

Step-by-step explanation:

7 0
4 years ago
Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

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3 0
2 years ago
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