Justin earned $50 mowing lawns and $34 washing cars. He wants to divide his money into 3 equal accounts. How much will he put in
1 answer:
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Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Answer:
The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 50
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Formula:
We have to find the value of x such that the probability is 0.06.
P(X > x) = 6% = 0.06
Calculation the value from standard normal z table, we have,
Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.