Answer:
The tip of the minute hand move in 24 hours is 150.85 inches.
Step-by-step explanation:
Given : The minute hand of a clock is six (6) inches long.
To find : How far does the tip of the minute hand move in 24 hours?
Solution :
We know that,
1 hour = 60 minute
24 hour = 
The angle form is
.
The radius is r=6 inches
Using length of arc formula,




Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.
The angle is and acute angle.
Acute: Anything under 90 Degrees
Right: 90 Degrees
Obtuse: Anything Above 90 Degrees
Answer: a. 0.542
b. 0.051
c. 
Step-by-step explanation:
Let p be the population proportion of parents spend too little time with their children because of work commitments
As per given , we have
n= 369

Since the sample proportion is the best estimate for the population proportion.
So , the point estimate of the proportion of the population of working parents who feel they spend too little time with their children because of work commitments = 0.542
z-value for 95% confidence interval : 
Margin of error : 

The margin of error = 0.051
Confidence interval : 

95% confidence interval estimate of the population proportion of working parents who feel they spend too little time with their children because of work commitments : 
Answer:
-43
Step-by-step explanation:
Follow PEMDAS as well as the left -> right rule.
Note that: PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, solve the multiplication:
23 + (5 * 3) - 100 + 19
23 + (15) - 100 + 19
Simplify. Follow the left-> right rule:
(23 + 15) - 100 + 19
38 - 100 + 19
(38 - 100) + 19
-62 + 19 = -43
-43 is your answer.
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