Answer:
0.68
Step-by-step explanation:
The formula for z test is given above as:
z = p' - p/√(pq/n)
p' = sample proportion
= Number of infested samples(trees)/ Number of samples
p' = 127/1000 = 0.127
p = 12% = 0.12
q= 1 - 0.12 = 0.88
n = number of samples = 1000
z = 0.127 - 0.12/√(0.88 × 0.12/1000)
z = 0.007/√0.0001056
z = 0.007 /0.0102761861
z = 0.6811865737
Therefore, the z test statistic is approximately ≈ 0.68
Answer:
1) the length of your shadow and the length of the shadow cast by the Washington Monument
2) 14.4 feet
3) BC=2.7, XZ=10.5
Step-by-step explanation:
just too the quiz
In order to factorate the trinomial, let's first find its roots using the quadratic formula:
![\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20b%5E2-4ac%3D12%5E2-4%5Ccdot4%5Ccdot9%3D144-144%3D0%20%5C%5C%20x_1%3Dx_2%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%3D%5Cfrac%7B-12%2B0%7D%7B2%5Ccdot4%7D%3D-%5Cfrac%7B12%7D%7B8%7D%3D-%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Now we can write the trinomial in the form:
So we have that:
So 2x + 3 is a factor of the trinomial, therefore the answer is D.
Answer:
c. Include the date on each page of notes
Step-by-step explanation:
The main reason for her not being able to do this is because she did not include the date on each page of notes. Failing to do so means that she does not know which notes she took first and which ones she took later, therefore preventing her from correctly organizing the notes based on when they were taken (in the correct order). Neither the class title or the names of the guest speaker prevent her from organizing her notes in order, thus making the answer c.
Answer:
A) The indicated values of F(x) for x=-3 and x=5 are 
and 
B) The domain of f is the set of all real numbers
Step-by-step explanation:
Given that the function F is defined by
for x=-3,5
A) To find F(x) for the indicated values of x :
Given for x=-3,5
- Put x=-3 in the given function
Therefore
- Put x=5 in the given function
Therefore
The indicated values of F(x) for x=-3 and x=5 are and
B) To find the domain of f :
The domain of the f in the given expression is the set of all real numbers except where the expression 
is undefined. In this case, there is no real number that makes the expression undefined.
The domain of f is the set of all real numbers
