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Sergio039 [100]
3 years ago
10

If a bag has 7 red marbles, 5 blue marbles, 12 yellow marbles, 6 green marbles and 11 orange marbles, what is the probability th

at you will pick either a red marble or an orange marble?
Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

18 / 41

Step-by-step explanation:

(red marbles + orange marbles) / total number of marbles

7 + 11 / 7 + 5 + 12 + 6 + 11

18 / 41

You might be interested in
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
3 years ago
7,915,878 in word form
vovikov84 [41]
Seven million, nine hundred thousand, 10 thousand, five thousand, eight hundred seventy eight,
or
seven million, nine hundred fifteen thousand, eight hundred seventy eight
3 0
3 years ago
A whAt the theoretical probability
julsineya [31]

Answer:

a.  \frac{1}{6}

b.  \frac{67}{450}

Step-by-step explanation:

Theoretical probability is what we expect to happen and experimental probability is what actually happens.

a. In theoretical probability, it doesn't matter what happened in the past. So basically we want to know the probability of rolling a 3 when a number cube is rolled.

There are 6 faces (from 1 to 6) in a number cube. And there is 1 "3". So the probabilty of rolling a 3 is:

1/6

b. In experimental probability, we need to know what happened before. When the cube was rolled 450 times, it came up "3", 67 times.

Hence the experimental probabilty of rolling a "3" is:

67/450

6 0
4 years ago
Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.
faust18 [17]

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

3 0
3 years ago
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
Leviafan [203]

9514 1404 393

Answer:

  (a)  On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

  A (0, 1) has a scale factor of 1/3

  B (0, 4) has a scale factor greater than 1

  C (0, 1) has a scale factor of 1/3

  D (0, 2) has a scale factor of 2/3

__

Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

6 0
3 years ago
Read 2 more answers
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