Hello ;
<span>an = 1 • 3n - 1</span>
Answer:
0.6836
Step-by-step explanation:
(weight - mean weight) = 48
Variance, s² = 204,304
Sample size, n = 89
We need to obtain the Zscore :
Zscore = (X - mean) / standard Error
Zscore = (weight - mean weight ) / (s/√n)
s = √204304 = 452
The difference from the meanncoukdnbe either to the right or left :
Zscore = - 48 / (452/√89) OR 48 / (452/√89)
Zscore = - 48 / 47.911904 OR - 48 / 47.911904
Zscore = - 1.002 or 1.002
P(Z < - 1.002) = 0.1582 (using Z table)
P(Z < 1.002) = 0.8418
P(Z < 1.002) - P(Z < - 1.002)
0.8418 - 0.1582
= 0.6836
An equation is formed of two equal expressions. The solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution to the equation,
(5x+2)² + 15x + 6=0
25x² + 4 + 20x + 15x + 6 = 0
25x² + 35x + 10 = 0
Plotting the equation on the graph, the value of x is,
x = -0.4, -1
Hence, the solution of the equation (5x+2)² + 15x + 6=0 is -0.4 and -1.
Learn more about Equation:
brainly.com/question/2263981
#SPJ1
Answer:
Step-by-step explanation:
4.
a)
P = 2width + 2length
8x = 2x + 2 length; 8x-2x = 2 length; 6x=2 length
length = 3x
b)
sides= 1/4 of 3x = 3x/4
perimeter of square = 4* side = 4*3x/4 = 3x
c)
x= 4
P rectangle =8x= 8*4= 32
P square = 3x = 3*4 = 12
32-12 = 20 cm greater is the P rectangle than P of square
d)
A rectangle = 2x*x = 2*4*4 = 32
A square =(3x/4)² = (3*4/4)² = 9
32-9 = 23 cm² greater is the A rectangle than A of square
5.
4Comic+1 Nonfiction
4comic = 8y so 1 comic = 2y
1 nonfiction = (3+7y)+ 2y
a)
1 nonfiction = 7y+2y+3 = 9y+3
b)
total= 8y+9y+3 = 17y+3
if y=4
total = 17*4 +3 = $71
15: M= 2
B= -5
Slope intercept form= y=2x-5
16: y=5/8x + 1/2
