Answer:
A. x = 3
Step-by-step explanation:
5x+15 + 2x = 24 +4x
7x+15=24+4x
7x+15-15=24+4x-15
7x=4x+9
7x-4x=4x+9-4x
3x=9
3x/3=9/3
x=3
Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
Step-by-step explanation:
According to the empirical rule , 68% of the population falls within one standard deviations from the mean.
Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.
According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between
days and
days .
i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.
Answer:
<h2>12</h2>
Step-by-step explanation:
To evaluate 4P2, we will use the permutation formula as shown;
nPr = 
4P2 = 

4P2 = 12
Answer:
7.65
Step-by-step explanation:
15% of 51 is 7.65
Answer:
The answer to the question is;
The distance the tip of the minute and travels as time progresses from 12:00 to 12:25 is 18.33 in.
Step-by-step explanation:
To solve the question, we note that
Number of minutes in one complete revolution of the clock = 60
Position travel of the minute hand = 12:00 to 12:25 = 25 minutes
Fraction of complete revolution traveled by minute hand = 25/60
Distance of one complete revolution = Circumference of circle = 2·π·r
Length of minute hand = 7 inches = r
Distance of one complete revolution = 2 × π × 7 = 43.98 in
Distance traveled by minute hand = 25/60×43.98 in = 18.33 in.