Answer:
P(rolling five distinct values) = 1/3888
Step-by-step explanation:
We are told that I the fair sided dice, 6 is replaced with 5.
Thus,the numbers are now;
1,2,3,4,5,5.
This means a total of 6 possible numbers appearing.
Now, in these 6 numbers there are only 5 distinct numbers since 5 occurs twice.
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 2/6
Thus,probability of rolling 5 distinct values = 1/6 × 1/6 × 1/6 × 1/6 × 2/6 = 1/3888
-50 and -18 multiplied together equal 900 and added together equal -68 because a - times a- equals a positive.
Answer:
Step-by-step explanation:
<u>The volume formula:</u>
<u>Given:</u>
- d = 0.75 in ⇒ r = d/2 = 0.75/2 in
- h = 0.04 in
<u>The volume of each penny:</u>
<u>The volume of 100 pennies:</u>
- V = 100*π(0.75/2)²(0.04) = π(0.75/2)²(4)
Correct choice is B
Option D:
Segment DF
Solution:
Let us first define the relationship between the side and angle in triangle.
<u>Relationship between the side and angle in triangle:</u>
- The shortest side is always opposite to the smallest interior angle.
- The largest side is always opposite to the largest interior angle.
To find the largest side in ΔDEF:
Largest angle in ΔDEF is ∠E = 73°
So, the side opposite to 73° is DF.
Therefore, Option D is the correct answer.
Hence the segment DF is the longest side in the ΔDEF.
X is equal to 2. you can set them equal to each other because they are corresponding angles, which means they are congruent.
