The area that's covered by the grass will be 7.065m²
The area of a circle is found by using the formula: = πr²
where, r = radius = 1.5m
π = 3.14
Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:
Area = πr².
Area = 3.14 × 1.5²
Area = 3.14 × 1.5 × 1.5
Area = 7.065m²
In conclusion, the area is 7.065m²
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Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓
Answer: (a) 
(b) 
Step-by-step explanation:
(a) P( Bill hitting the target) = 0.7 P( Bill not hitting the target) = 0.3
P( George hitting the target) = 0.4 P(George not hitting the target) = 0.6
Now the chances that exactly one shot hit the target is = 0.7 x 0.6 + 0.4 x 0.3
= 0.54
Chances that George hit the target is = 0.4 x 0.3 = 0.12
So given that exactly one shot hit the target, probability that it was George's shot = 
= .
(b) The numerator in the second part would be the same as of (a) part which is 0.12.
The change in the denominator will be that now we know that the target is hit so now in denominator we include the chance of both hitting the target at same time that is 0.4 x 0.7 and the rest of the equation is same as above i.e.
Given that the target is hit,probability that George hit it = 
= =
Answer:
47.5%
Step-by-step explanation:
Find the z-scores:
z = (x − μ) / σ
z₁ = (300 − 400) / 50 = -2
z₂ = (400 − 400) / 50 = 0
300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.
From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.
95% / 2 = 47.5%
