Answer:
Step-by-step explanation:
From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.
Exterior angle of a regular polygon with n sides 
In a regular hexagon number of sides: n =6
Exterior angle of a regular hexagon 
Since ∠I is an exterior angle of the regular hexagon, therefore, 
.
Answer:
<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>
Step-by-step explanation:
After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:
1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.
2. For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.
3. For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.
4. For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.
<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>
Answer:
x= 1 or x= 1.56 (3 s.f.) or x= -2.56 (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
X/3 has to be smaller tha 80%
so x can be 2 since 2/3=66% about
1/2 is less thn 2/3
answer is x is 2
