Answer:
A sample of 1077 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is of:
42% of freshmen do not visit their counselors regularly.
This means that 
98% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.035. So
Rounding up:
A sample of 1077 is required.
Answer:
the second box for y is 9
the third box for x is 2.5
im not sure about the third box for y
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
FGHI
Step-by-step explanation:
The square FGHI needs to be created into a reflection for true congruence of the figure thus transformed across the axis.
FGHI's co-ordinates' signs are to be reversed for reflection thus coordinates:
2,-5
4,-5
2,-7
4,-7
are made into
-2,5
-4,5
-2,7
-4,7
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
<em>Expand:</em>
45= W² +4W
<em>-45 on both sides:</em>
W² +4W -45= 0
<em>Factorise:</em>
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
