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jenyasd209 [6]
3 years ago
5

Set A contains three different positive odd integers and two different positive even integers; set B contains two different posi

tive odd integers and three different positive even integers. If one integer from set A and one integer from set B are chosen at random, what is the probability that the product of the chosen integers is even?
Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

\frac{2}{5}*\frac{3}{5} +\frac{2}{5}*\frac{2}{5}+\frac{3}{5} *\frac{3}{5}  = \frac{19}{25}

Step-by-step explanation:

We must remember that in order to get one even number we need to multiply one even number times one odd number or two even numbers. So, the first term tells the probability of having an even number from A and an even number from B, the next would be even from A and odd from B and the last one tells the likelihood of having odd from A and even from B

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Is y = |x + 3| a linear function yes or noO
vekshin1

Answer:

Yes

Step-by-step explanation:

Because it passes vertical line test.

4 0
3 years ago
Read 2 more answers
You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres
Colt1911 [192]

9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
  3. $40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

__

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
2 years ago
Can someone help me with this?
forsale [732]

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

8 0
2 years ago
Need help ASAP please I’ll give brainiest:)
scoundrel [369]

Answer:

ac+ad+bc+bd

Step-by-step explanation:

PLS mark me brainiest

5 0
3 years ago
Can somebody please help me out:))
jeyben [28]

Answer:

50ft

Step-by-step explanation:

Hi,

Considering that one side is equal to 38 degrees, we know this isn't a 30 - 60 - 90 triangle.

One of the legs is equal to 40 feet

So, tan(b) = 40/x

tan(38 degrees) is 0.78 round up to 0.8 (if that's what your teacher wants)

0.8 = 40/x

0.8x = 40

x = 50ft

I hope this helps

8 0
3 years ago
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