A data set has a normal distribution with a mean of 47 and a standard deviation of 4.6. Use this information to scale the horizo
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Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
.
There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.
There are 167 students that are girls.
10. The volume of the triangular prism is , then
.
11. The volume of the triangular pyramid is , then
.
12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.
13. See 10 and 11 for notations in symbols.
a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.