Answer:


Step-by-step explanation:
We know that the mean and the standard error of the sampling distribution of the sample proportions will be :-


, where p=population proportion and n= sample size.
Given : The proportion of students at a college who have GPA higher than 3.5 is 19%.
i.e. p= 19%=0.19
The for sample size n= 25
The mean and the standard error of the sampling distribution of the sample proportions will be :-


Hence , the mean and the standard error of the sampling distribution of the sample proportions :


Answer:
the answer is B
Step-by-step explanation:
Answer:
Area of ΔDEF is
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB =
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Thus the area of ΔDEF is
.
Answer:
Step-by-step explanation:
Q1
<u>Angles</u>
- 26° & 64° & 90°
- AA similarity
Q2
<u>Ratios of corresponding sides:</u>
- 6/8 = 9/12 = 12/16 ⇒ 3/4
- SSS similarity
Q3
<u>Angle C is vertical</u>
<u>Ratios of corresponding sides:</u>
- 9/15 = 18/30 ⇒ 3/5
- SAS similarity
Amount financed
320−100=220
Total paid
100+25×12=400
Interest paid
400−320=80
Interest rate=(2yc)÷(m (n+1))
I=(2×12×80)÷(220 (12+1))
I=(2×12×80)÷(220×13)
I=0.67×100
I=67%