Answer:
The total number of students she teaches is 115
Step-by-step explanation:
Here, we want to get the total number of students that Mrs Randolph teaches
To get this, we simply add up the number for the individual sessions
Mathematically, we have this as;
26 + 32 + 27 + 30 = 115 students
Answer:
Step-by-step explanation:
Gráfico recuperado mostra os seguintes dados:
Fundamental Incompleto: 14
Fundamental: 16
Médio Incompleto: 14
Médio: 54
Superior Incompleto: 14
Os funcionário que concluíram o Ensino Médio são 54 (Médio) +14 (Superior Incompleto. Basta somar (54+14)e dividir pelo total de funcionários (112).
A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is
A. 0.037773 to 0.202227
B. 3.7773% to 20.2227%
C. 59.98786% to 61.01214%
D. 51.7773% to 68.2227%
E. 10.988% to 13.012%
Answer: E. 10.988% to 13.012%
Step-by-step explanation:
Given;
Mean x= 12%
Standard deviation r = 4%
Number of samples tested n = 60
Confidence interval is 95%
Z' = t(0.025)= 1.96
Confidence interval = x +/- Z'(r/√n)
= 12% +/- 1.96(4%/√60)
= 12% +/- 0.01214%
Confidence interval= (10.988% to 13.012%)
Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.
Find slopes of these lines.
-4x-5y=-4
-4x+4 =5y
Divide by 5
Y= -4x/5 +4/5
Second line: 10x-8y=-1
10x+1=8y
Divide by 8
10x/8 +1/8 =y
Y= 5x/4 +1/8
So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
