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:
we know that
The equation of a vertical parabola in vertex form is equal to
where
(h,k) is the vertex
The axis of symmetry is equal to the x-coordinate of the vertex
so
If a> 0 then the parabola open upward (vertex is a minimum)
If a< 0 then the parabola open downward (vertex is a maximum)
In this problem we have
The vertex is the point 
------> observing the graph
The axis of symmetry is 
If the graph of this function is shifted downwards and the axis of symmetry remains x=1
then
The x-coordinate of the vertex of the new graph must be equal to 1
The y-coordinate of the vertex of the new graph must be less than 4
The parabola of the new graph open downward
therefore
<u>Verify each case</u>
case a)
Convert to vertex form
The vertex is (1,1)
therefore
The function could be the equation of the new graph
case b) 
Convert to vertex form
The vertex is (-1,4)
therefore
The function cannot be the equation of the new graph
case c)
Convert to vertex form
The vertex is (1,-3)
therefore
The function could be the equation of the new graph
case d) 
Convert to vertex form
The vertex is (1,5)
therefore
The function cannot be the equation of the new graph
case e)
Convert to vertex form
The vertex is (1,-2)
therefore
The function could be the equation of the new graph
Answer:
An exponent can be any small number, which is almost always in the top write corner of a whole number.
Step-by-step explanation:
For example, 4(6). the 6 would be in the top right corner. This is an easier way of writing 4x4x4x4x4x4.
Answer:
<h2>≠</h2>
Step-by-step explanation:
b≠a
.................
Answer:
Here we will show you how to calculate 1/6 divided by 7/8. We will give you the answer in fraction form and in decimal form.
Here is 1/6 divided by 7/8 displayed mathematically in colors:
1
6
÷
7
8
The numbers in 1/6 divided by 7/8 are labeled below:
1 = dividend numerator
6 = dividend denominator
7 = divisor numerator
8 = divisor denominator
To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.
Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:
1 x 8
6 x 7
=
8
42
Thus, the answer to 1/6 divided by 7/8 in fraction form is:
8
42
Step-by-step explanation:
