She has 45 pennies and 9 quarters
5:1
P:Q
0.01:0.15
0.05:0.15 0.1:0.3 0.15:0.45 0.2:0.6 0.25:0.75 0.3:0.9 0.35:1.05 0.4:1.2
0.45:1.35
Answer:
x=90
y=67
Step-by-step explanation:
as the line that bisects the vertical angle of isosceles triangle perpendicularly bisects the base
so x=90
and sum of all sides of triangle is 180 so
90+23+y=180
therefore,y=67
Answer:
B. 2.2π m² : 3.2π m²
Step-by-step explanation:
Given:
Slant height (l) = 2.2 m
Diameter (d) = 2 m
Radius (r) = ½(2) = 1 m
Required:
Lateral area and surface area
Solution:
✔️Formula for lateral area of a cone = πrl
Plug in the values
Lateral area of the cone = π*1*2.2
Lateral area = 2.2π m²
✔️ Formula for surface area of a cone = πr(l + r)
Plug in the values
Surface area of the cone = π*1(2.2 + 1)
Surface area = π(3.2)
Surface area = 3.2π m²
The answer would therefore be:
2.2π m² : 3.2π m²
Answer:
The minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Step-by-step explanation:
We are given the following in the question:
Population variance = 484
Standard deviation =
Confidence level = 0.95
Significance level = 0.05
Margin of error = 5
Formula:
Margin of error =
Putting values, we get
Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Answer:
11
3Step-by-step explanation:
Given
3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression
= 3(3 - 1)² + 2(3) - 7
= 3(2)² + 6 - 7
= 3(4) - 1
= 12 - 1
= 11
