Answer:
36 cm.
Step-by-step explanation:
Let, the side of the square = x cm.
As, side of the square is 3 cm less than and 2 cm more than the sides of the rectangle.
Thus, the sides of the rectangle will be (x+3) and (x-2)
<em>Also, it is given that, 'The area of the square is 30 cm² less than the area of the rectangle'.</em>
As, Area of the square =
Area of the rectangle =
Thus, we have
i.e.
i.e.
i.e.
Thus, the side of the square is 36 cm.
Answer:
Probability that in a random sample of six cities, the sample mean would be more than 40 is 0.3372.
Step-by-step explanation:
We are given that the percent of births to mothers with less than a college education in all of the most populated cities in the U.S. has an average of 39.3 with a standard deviation of 4.1.
Assuming the data follows distribution. Also, a random sample of six cities is selected.
<em>Firstly, Let </em><em> = sample mean of six cities</em>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = average percent of births = 39.3
= standard deviation = 4.1
n = sample of cities = 6
Probability that in a random sample of six cities, the sample mean would be more than 40 is given by = P( > 40)
P( > 40) = P( > ) = P(Z > 0.42) = 1 - P(Z 0.42)
= 1 - 0.66276 = 0.3372
Therefore, probability that the sample mean would be more than 40 is 0.3372.
Change 1 1/2 into a improper fraction. then multiply across. so 2 times 3 over 7 times 2. which equals 6/14. then simplify to get 3/7 as your final answer.
(3) / (v^5) is the answer to this problem.
YOUR ANSWER IS A
HOPE THIS HELPS