Answer:
1- P(-0.47 < z < 0.47) = 0.63836
Step-by-step explanation:
Here, we want to get the answer to;
1-P ( -0.47 < z < 0.47)
Mathematically, we are going to use the standard normal distribution table for this
Let us try to evaluate;
P(-0.47 < z < 0.47)
Mathematically, that will be;
P (z < 0.47) - P(z < -0.47)
where P (z < -0.47) = P( z > 0.47)
so we have
P(-0.47 < z < 0.47) = P(z < 0.47) - P(z > 0.47)
So we have this using the standard normal distribution table as follows;
0.68082 - 0.31818 = 0.36164
Now, we can insert this in the earlier expression of;
1- P(-0.47 < z < 0.47)
= 1-0.36164 = 0.63836
Answer:
False Option B
Step-by-step explanation:
From the question we are told that:
Sample size 
Assumed degrees of freedom 
Generally for the df of the t test



Since

Therefore
The correct option is
False Option B
Answer:
The approximate z-score for the value 64 is -1.4.
Step-by-step explanation:
Since, the z-score or standard score for the value x is,

Where,
is the mean score,
is the standard deviation,
Here, x = 64,


Hence, the z-score for the value 64 is,



Second option is correct.
Answer:
It will take one more 1/3 to fill the bird feeder
Step-by-step explanation:
<span>The coordinates of the three vertices of a rectangle are :
</span>
A(-3,3) , b(-3,-2) and c(4,-2)
The easy way to find the fourth vertex by the graphing the given points
See the attached figure
the given points are in blue color
and by using the symmetry of the rectangle
So, the coordinates of the fourth point D is (4,3) which are in red color
The base of the rectangle is the distance BC
From the graph ⇒⇒ BC = 7
The height of the rectangle is the distance AB
From the graph ⇒⇒ AB = 5
The area of the rectangle = base * height = 7 * 5 = 35
So, the correct answer is option <span>
A(4, 3), 35 units squared</span>