The <u>correct probability</u> is 1/16.
Explanation:
There is 1 section marked 8 out of 8 sections. This makes the probability of landing on an 8 1/8.
The factors of 4 on this spinner are 1, 2, 4 and 8. This makes 4 sections out of 8, which makes the probability of landing on a factor of 8 equal 4/8=1/2.
Together, the probability of both events would be 1/8(1/2) = 1/16.
Answer:
365.73 miles
Step-by-step explanation:
Given that :
Angle of elevation (western high) = 41.25°
Angle of elevation (pine high) = 23.125
From the diagram attached :
Angle A = 180 - (41.25 + 13.125) = 115.625
Using the Sine rule :
a / SinA = b/SinB = c/sin C
512 / sin 115.625 = b / sin 41.25
554.68738 = b / sin 41.25
554.68738 * sin 41. 25 = b
b = 365.73 miles
Answer:
Slope is positive for all x, so always increasing
Step-by-step explanation:
Increasing/decreasing depends on the slope of the function, which is f'
f'(x) = 9x² + 18x + 25
If f'(x) > 0 for all x, then his claim is correct (increasing for all x)
If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect
f'(x) is a quadratic function.
9x² + 18x + 25
9(x² + 2x) + 25
9(x² + 2(x)(1) + 1² - 1²) + 25
9(x + 1)² - 9 + 25
9(x + 1)² + 16
Since the minimum value of f' is 16, it's always positive.
Hence, the claim is correct
Answer:
(D) The volume of Model A and B combined is 88 cubic centimeters.
Step-by-step explanation:
Volume of Model A
= 6 x 4 x 2
= 48 cm³
Volume of Model B
= 5 x 2 x 4
= 40 cm³
Volume of Model A and B
= 48 + 40
= 88 cm³