Answer:
The answer is given below
Step-by-step explanation:
Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:
For the male:
μ = 3259.8 g, σ = 869.7 g
Hence for a male who weighs 1600 g, the z score is:
For the female:
μ = 3000.9 g, σ = 550.8 g
Hence for a female who weighs 1600 g, the z score is:
Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.
Answer:
-6 < x < 3/4
Step-by-step explanation:
Hope this helps <333
Answer: 2.25
Step-by-step explanation:
1 cm/ 2 in = x/ 4.5 in
2x = 4.5 in
4.5/2 = x
2.25 = x
Answer:
a) dy/dx = 4/(2y+1)^2.
(b) y = 4/9 x - 14/9
(c) d2y/dx2 = -64/243
Step-by-step explanation:
You have the following equation
(1)
(a) You first derivative implicitly the equation (1) respect to x:
next, you solve the last result for dy/dx:
(2)
(b) The equation for the tangent line is given by:
(3)
with yo = -2 and xo = -1
To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:
m =
Hence, by replacing in the equation (3) you obtain:
hence, the equation for the tangent line is y = 4/9 x - 14/9
(c) To find d2y/dx2 you derivative the result obtain in the equation (2):
(4)
the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):
hence, d2y/dx2 evaluated in (-1,-2) is -64/243
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
Step 1: Define
x⁴ + 9x²
x = -3
Step 2: Substitute and Evaluate
(-3)⁴ + 9(-3)²
81 + 9(9)
81 + 81
162
