Answer:
273 square feet
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Total ceiling area = 14ft × 20ft = 280 square feet
Diameter of circular light fixture = 3 feet
Radius of circular light fixture = 1.5 feet
So, Area of circular light fixture = π
=
= 3.14 × 2.25
= 7.065 or 7 square feet
So, area for painting = Total ceiling area - Area of circular light fixture
= 280 - 7
= 273 square feet
Answer:
b) 5:7 = 15:21
Step-by-step explanation:
This questions tests our understanding of enlargement ratios.
#Determine the decimal equivalents or simplify to see which one is correct:
#a) 5:21 = 7:15
#b) 5:7 = 15:21
#c) 5:7 = 21:15
#d) 21:5 = 15:7
Hence, option b is the correct one as 5:7 = 15:21
For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)=
= = 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = +
+
+
+
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = +
+
+
+
+
+
= 0.8417877 = 0.0842 (rounded to 3 decimal places)