Answer:
3
Step-by-step explanation:
Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
Simplify means solve and to solve we first need to do 2 to the 2nd power which is two * 2 that equal 4 than do 2 to the 10th power that equal 1024 and than we can just do
4 divided by 1024 = 0.0390625
Answer:
The probability that there will be enough seats for all people who turn up is 0.78
Step-by-step explanation:
Given:
A = 500
B = 550
Since it is known from experience that 10% of people who bought tickets don't show up, to find the probability that there will be enough seats for those who show up, we have:
Percentage that will turn up = 100℅ - 10℅ = 90℅
Since 90℅ will turn up, that means the number of passengers will be less than 500.
Therefore for P less than or equal to 500, we use:
P ( X <_ 500) =
= [500 + 0.5 - (550 * 0.9)] / sqrt*(550 * 0. 9 * 0.1)
= 0.78
Therefore, the probability that there will be enough seats for all people who turn up is 0.78
Answer:
A, B, C
Step-by-step explanation:
Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"
A. Given.
This is the information that was given in the problem statement.
Step 2: "ΔABC ≅ ΔDEF"
B. Side-Angle-Side Postulate (SAS)
The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent. From the previous step, we can conclude the triangles are congruent.
Step 3: "∠C ≅ ∠F"
C. Corresponding parts of congruent triangles are congruent (CPCTC)
In Step 2, we established the triangles are congruent. So now we can conclude that the corresponding angles are congruent.
This is a simple one just multiply the sides by the same number
14/32, 28/48