Answer:
260 is the minimum score.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 200
Standard Deviation, σ = 24
We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.
Least marks required for admission in boarding school is 2.5 standard deviations above the mean.
Thus, we can calculate the minimum score as:
Thus, 260 is the minimum score that an applicant must make on the test to be accepted.
Answer:
Length = 37 feets
Width = 44 feets
Step-by-step explanation:
Given that :
Length = l
Width, w = 7 + l
Perimeter , P of rectangle = 162
Recall:
Perimeter of a rectangle = 2(l + w)
P = 2(l + w)
162 = 2(l + (7 + l))
162 = 2(l + 7 + l)
162 = 2(7 + 2l)
162 = 14 + 4l
162 - 14 = 4l
148 = 4l
l = 148 / 4
l = 37 feets
Width = l + 7
Hence,
Width = 37 + 7 = 44 feets
Answer:
Just find the number that can not be written as a simple fraction! If you attach a picture of the numbers it is easier for me to help you!
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the rules of logarithms
• log x + log y = log xy
• log x - log y = log (
)
• log
= n log x
(a)
9 + 2 = (9 × 2) = 18
(b)
7 - 11 = 
↑ required value
(c)
2
2 = 2² = 4
Answer:
In the graph we can find two points, lets select:
(2, 15) and (4, 30)
Those are the first two points.
Now, for two pairs (x1, y1) (x2, y2)
The slope of the linear equation y = s*x + b that passes trough those points is:
s = (y2 - y1)/(x2 - x1)
So the slope for our equation is
s = (30 - 15)/(4 - 2) = 15/2
then our linear equation is
y = (15/2)*x + b
now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)
15 = (15/2)*2 + b = 15 + b
b = 15 - 15 = 0
then our equation is:
y = (15/2)*x
Where we used a division and a multiplication.
