Answer:
C) Yes, because 1 and 5 are congruent
Step-by-step explanation:
Same-side congruent angles prove this to be true
Answer:
1050 masks per person.
Step-by-step explanation:
1) Create an equation to find the total number of masks
2) Solve equation and divide total by 2 to get the number of masks that can be given to both Mark and Paula so that they have equal number.
1) Since Paula has 70% of the total masks, it can be represented as 0.7 * t where t is the variable representing the total number of masks. Mark on the other hand has the remaining number of masks out of 100% which is 30%. We can express that as 0.3. We multiply that by t because he has 30% of the masks. The final equation we have is 0.3t + 840 = 0.7t. 840 because Paula has 840 more masks than Mark.
2) Solve by subtracting 0.3t from both sides leaving you with 0.4t = 840. We divide both sides by 0.4 to get 2100. That is the total number of masks. If we divide that number by 2, we get 1050.
Answer:
A) M = 3.016
B) M = 9.79
C) 62
Step-by-step explanation:
A) We are given;
Population size; n = 100
standard deviation; σ = 12
Formula for the margins of error is;
M = z × σ/√n
At 99% confidence interval, z = 2.58
Thus;
M = 2.58 × 12/√100
M = 3.016
B) n is now equal to 10, thus at same confidence interval used in option A, we have;
M = 2.58 × 12/√10
M = 9.79
C) to solve this, we will use the formula;
n ≥ (zσ/m)²
Where;
z at 95% confidence interval has a value of 1.96
m is the margin of error = 3
Thus;
n ≥ (1.96 × 12/3)²
n ≥ 61.4656
Thus,approximately n = 62
Answer:
The Third one
Step-by-step explanation:
