Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Answer:
a) 4:3
b) 7:3
Step-by-step explanation:
No. of roses= 8
No. of daisies = 6
Total no. of flowers = 14
a) Ratio of roses to daisies = No. of roses/No. of daisies
8/6
= 4/3
= 4:3
b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies
14/6
= 7/3
= 7:3
Answer: 
≈
Step-by-step explanation:
You need to find the value of the variable "x".
To solve for "x" you need to apply the following property of logarithms:
Apply logarithm on both sides of the equation:
Now, applying the property mentioned before, you can rewrite the equation in this form:
Finally, you can apply the Division property of equality, which states that:
Therefore, you need to divide both sides of the equation by 
. Finally, you get:
≈
Answer:
Given the size of rectangular plate in advertisement = 5 cm by 3cm.
Given the condition for length should be = 0.25 of 5 cm
Step-by-step explanation:
Now, have to write the inequality from the given data.
Therefore, 5- 0.25 ≤ L ≤ 5+.25
4.75 ≤ L ≤ 5.25
We know that the area of a rectangle = Length × Width.
Width = 3
Thus, the area is 3 × L
3× (4.75) ≤ 3×L ≤3× (5.25)
14.25 ≤ 3×L ≤ 15.75
So the minimum area is 14.25 cm^2
The maximum area is 15.75 cm^2
