Answer:
Probability of a dice rolling a number less than 3 is 2/6 = 1/3
Probability of dice spinning a number less than 6 is 5/6
Step-by-step explanation:
Number less than 3:
Chances of no. Being 1 and 2, not including 3, is 1/6 individually.
Hence, chances of no. Rolled being lesser than 3 is 1/6 + 1/6 = 1/3
Probability of no. Being smaller than 6 (lesser than 6) Aka spinning 1 or 2 or 3 or 4 or 5, not including 6 is (1/6) x 5 = 5/6
A) 20.93%
B) 20%
C) 59.07%
Explanation
A) The total area of the rectangle is 6(10) = 60 ft². The area of the circle is 3.14(2²) = 12.56. This makes the probability of hitting the circle is 12.56/60 = 20.93%.
B) The total area of the rectangle is 60. The area of the trapezoid is 1/2(2+4)(4) = 12 ft². This makes the probability of hitting the trapezoid 12/60 = 20%.
C) The areas of the circle and trapezoid together are 12+12.56 = 24.56. This makes the rest of the area 60-24.56 = 35.44. This gives us the probability of not hitting the circle or trapezoid 35.44/60 = 59.07%
Number of bottles of juice are needed for 24 students = 4
Number of bottles of juice are needed for 42 students = 7
<h3><u>Solution:</u></h3>
Given that cafeteria worker knows that it takes 3 bottles of juice to serve a table of 18 students
<em><u>To find :</u></em>
1) Number of bottles of juice are needed for 24 students
2) Number of bottles of juice are needed for 42 students
Since its given that 3 bottles of juice to serve a table of 18 students
So, number of bottles required for one student is given as:
Let "a" be the number of bottles required for one student
18 students ⇒ 3 bottles
1 student ⇒ "a" bottles
On cross multiplication we get,

<h3><em><u>
Finding number of bottles of juice are needed for 24 students:</u></em></h3>
number of bottles of juice are needed for 24 students = 24 x number of bottle required for 1 student

<h3><em><u>
Finding number of bottles of juice are needed for 42 students:</u></em></h3>
number of bottles of juice are needed for 42 students = 42 x number of bottle required for 1 student

1. Since it is an isosceles triangle, we know that the two length sides have to be the same. Therefore, the angles across from the sides are the same. They cannot be 90 degrees or above because 90+90+0 would mean we would have all the interior angles at 180 but the thing is the third angle cannot be zero. Therefore, the other two angles cannot be 90 or more. They must be acute.
Also, if it had two right angles (90 degrees) or more, it could not close to be a triangle.
Answer:
Give me a second, I just finished answering it, and trying to find a way to take a picture of it and send it to you.
Step-by-step explanation: