Several students and adult chaperones are going on a field trip to the theater. Each student ticket cost $2 and each adult ticke
2 answers:
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Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
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Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64
Answer:
A
The value is
B
The value is
Step-by-step explanation:
From the question we are told that
The population mean is
The standard deviation is
The sample size is n = 25
Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as
=>
From the z table the area under the normal curve to the left corresponding to -0.6364 is
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Generally the standard error of mean is mathematically represented as
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=>
Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as
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From the z table the area under the normal curve to the left corresponding to -3.1818 is
=>
=>
Here is the equation:
Since both decimals are negative, the answer will be positive.
- Negative times Negative = Positive
Divide both sides by -3.9 to leave the variable alone:
r is equal to 4 → r = 4