92
Because similar triangles has congruent corresponding angle measures
x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
9514 1404 393
Answer:
14. C
15. C
Step-by-step explanation:
14. The function is entirely in quadrants I and II, so the leading coefficient is positive. This eliminates choices A and B.
The horizontal asymptote is 0, not -1, eliminating choice D.
The curve is best described by the equation of choice C.
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15. The domain and range of an unadulterated exponential function are ...
domain: all real numbers; range: y > 0 . . . . matches choice C
Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is 
the alternative hypothesis is 
The test statistics is 
The p-value is 
so

Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n= 38
The sample mean is 
The standard deviation is 
Generally the null hypothesis is 
the alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

substituting values


The p-value is mathematically represented as

From the z- table

So
