Answer:
D = -6
Step-by-step explanation:
divide -5 by each side of the equation
Answer:
a) 25
b) 49
c) 97
Step-by-step explanation:
The sample size is calculated using the formula, n = 
Now,
for 95% confidence level value of z-factor = 1.96
Given:
Mean = $3.94
standard deviation = $0.25
thus,
a) for margin of error = $0.10
n = 
or
n = 
or
n = 4.9²
or
n = 24.01 ≈ 25 (Rounded off to next integer)
b) for margin of error = $0.07
n = 
or
n = 
or
n = 7²
or
n = 49
c) for margin of error = $0.05
n = 
or
n = 
or
n = 9.8²
or
n = 96.04 ≈ 97 (Rounded off to next integer)
Answer:
±2sqrt(10) = x
Step-by-step explanation:
40 - x^2 = 0
Add x^2 to each side
40 - x^2+x^2 = x^2
40 = x^2
Take the square root of each side
sqrt(40) = sqrt(x^2)
±sqrt(40) = x
±sqrt(4) sqrt(10) = x
±2sqrt(10) = x
<h3>
Answer: 7 cm</h3>
===========================================================
Explanation:
x = side length of the original square (measured in cm).
One side increases by 8 cm to go from x to x+8. At the same time, an adjacent side decreases from x to x-2 (aka it decreases by 2 cm).
The x by x square turns into a x+8 by x-2 rectangle.
L = x+8 = length
W = x-2 = width
P = perimeter of rectangle
P = 2(L+W)
P = 2(x+8+x-2)
P = 2(2x+6)
P = 4x+12
The perimeter of this rectangle is 4x+12, which is set equal to the stated perimeter 40 cm. We'll use this to solve for x.
P = 40
4x+12 = 40
4x = 40-12
4x = 28
x = 28/4
x = 7
The square originally had side lengths of 7 cm.
Increasing this by 8 cm gets us x+8 = 7+8 = 15 cm. So L = 15.
Also, W = x-2 = 7-2 = 5 cm is the width.
Then note how P = 2(L+W) = 2(15+5) = 40 to help confirm the answer.
I'd graph it but brainly doesnt have that ability