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Alex
3 years ago
15

1. A bag contains the letters of the word “PROBABILITY”.

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

Since "PROBABILITY" has 11 letters in it, then every letter has 1/11 chances of getting picked, so the chances of getting an O tile would be 1/11, same for getting a B tile. But if you were to get both of them consecutively, then the chances would be 1/11 of 1/11 because you have 1/11 of a chance to get and O and then 1/11 of a chance to get a B. So you would be looking for 1/11 of 1/11, which means multiplying the divisor, 11*11=121. Therefore, you should have 1/121 chance of getting an O and B tile.

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The lines shown below are perpendicular. If the green line has a slope of 2/5 what is the slope of the red line
Ksenya-84 [330]
In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line. 

The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
           (m₁)(m₂) = -1

We are given with one of the slopes. To determine the value of the second slope then,
            m₂ = -1/m₁
            m₂ = -1/(2/5)
            m₂ = -5/2

<em>ANSWER: m₂ = -5/2</em>
6 0
3 years ago
What is the area of the figure?<br><br><br><br> 40 ft2<br> 84 ft2<br> 96 ft2<br> can't be determined
maxonik [38]
<span>80 ft^2 Looking at the figure, you can easily determine that it's made of two separate figures, a rectangle that's 2 feet by 16 feet, and a triangle that has sides of 16 feet, 10 feet, and 10 feet. The triangle can then be divided into two right triangles with a hypotenuse of 10 feet and one leg of 8 feet, so you can use the Pythagorean theorem to calculate the other leg (which is also the height of the large triangle mentioned above). That value is sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6. So we now know that the large 16,10,10 triangle has a base of 16 and a height of 6. So let's calculate the area of the entire figure. A = 2*16 + 16*6/2 A = 32 + 16*3 A = 32 + 48 A = 80 So the area of the entire figure is 80 square feet.</span>
5 0
3 years ago
Complete the comparison: 3 + 7 &gt; ? A. 8 + 2 B. 10 − 2 C. 7 + 3 D. 9 + 4
Dafna1 [17]
3 + 7 > 10 - 2
10 > 8...correct
5 0
3 years ago
Which similarity statements describe the relationship between the two triangles? Check all that apply.
astra-53 [7]

Answer:

ABC is similar to DEF

ABC is similar to DFE

Step-by-step explanation:

6 0
3 years ago
Item 5 A farmer plants corn and wheat on a 180-acre farm. The farmer wants to plant three times as many acres of corn as wheat.
valina [46]

Answer:


Step-by-step explanation:

180/4 is 45 so you could say the farmer plants 135 Acers of corn and only 45 of wheat

3x+y=180  

Hope this helped.

8 0
3 years ago
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