Answer:
Test statistic = - 3.354
We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Step-by-step explanation:
H0 : μ = 3
H1 : μ < 3
The test statistic = (xbar - μ) / (s/ √n)
Xbar = 1.50
μ = 3
s = 3
n = 45
Test statistic = (1.5 - 3) / (3/ √45)
Test statistic = - 1.5 / 0.4472135
Test statistic = - 3.354
Pvalue, using the Pvalue from Z score calculator :
Pvalue = 0.00039826
α = 0.05
Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.
Answer:
Step-by-step explanation:
Here, we have to find the sum of 2 fractions:
1st fraction: 
2nd fraction: 
Considering the denominator of 1st fraction:
Using factorization method:
can be written as 
.
Taking <em>5 common</em> from 
and <em>y common</em> from 
:
Now taking 
common:
can be written as 
Now, calculating the sum:
Taking <em>LCM</em> and solving:
Hence, answer is .
Answer:
x=4
Step-by-step explanation:
-5x+5-x+1=-18
combine like terms
-6x+6=-18
subtract 6 from both sides
-6x=-24
divide both sides by -6
x=4
700+20+1 i'm not too sure but i hope this helps
Answer:
width: 33 ft
length: 74 ft
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.
l + l + w + w = 214
(41 + w) + (41 +w) + w + w = 214 ... combine like terms
82 + 4w = 214 ... subtract 82 from both sides
4w = 132 ... divide both sides by 4
w = 33 ft
Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.
l = 41 + w
l = 41 + 33
l = 74 ft
