Answer:
43
Step-by-step explanation:
Using the remainder theorem, that is
The remainder on dividing f(x) by (x - h) is the value of f(h)
here division by (x - 3) hence evaluate f(3) for remainder
f(3) = 3² + 14(3) - 8 = 9 + 42 - 8 = 43 ← remainder
The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the time in seconds for the bird feather to reach 10 feet.
Hence:
y = -2x + 10
The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10
Find out more on equation at: brainly.com/question/2972832
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Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
