Answer:
Number of students successful= 75
Number of students not able to complete the exam in the allotted time= 5
Step-by-step explanation:
In this question the main part is missing .The given statement is the sub part of the problem .
Suppose the main part is
<u><em>The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes. </em></u>
<u><em></em></u>
If the main part was given like this only then we could do the following calculations.
So from above the
Population mean = μ= 80
Population Standard deviation =σ= 10 mins
Sample mean = x`= 95
Sample size= n= 80
Now first we calculate the z= score
z= x`-μ/σ
z= 95-80/10= 1.5
From the z- table we find the P (z< 1.5)= 0.9332
Now we have to find the number of students who need to complete the exam in the allotted time
Number of students successful= np= 80 * 0.9332= 74.656= 75
Number of students not able to complete the exam in the allotted time= 80-75= 5
<u><em>These answers are based on the main part supposed to be as added just to explain how it will be calculated.</em></u>
<u><em>There may be any discrepancy with the original question.</em></u>
Answer:
99.38
Step-by-step explanation:
the area of all the circles by using the formula A=ℼr2 then filling in r with 3.2 A=ℼ3.22=32.2
Knowing that one circle is 32.2 4 circles would have an area of 128.8
Two circles have a combined length and height of 12.8 because the circumference of one circle is 6.4 so two circles reach the sides of the square. So all the sides of the square are 12.8. So finding the area of the square knowing what the sides are, so the area is a=163.84. To find the shaded area you subtract the volume of the square to volume of all 4 circles which is 163.84-128.8 which equals 35.04. Then you find the volume of the semi circle which is 64.34. Then the combination of both shaded regions is 99.38
Answer:
<h2>2 c. = 1 pt.</h2><h2>2 pt. = 1/4 qt.</h2><h2>1 gal. = 4 qt.</h2><h2>4 qt = 1 gal.</h2>
Step-by-step explanation:
Answer:
x = 15 ft
y = 15 ft
A(max) = 225 ft²
Step-by-step explanation:
Let call "x " and " y " sides of the rectangle x (side paralll to the northern boundary, then:
A(r) = x*y and 4*x + 2*2*y = 120 or 4*x + 4*y = 120
4*x + 4*y = 120 ⇒ x + y = 30 ⇒ y = 30 - x
Area of the garden as a function of x is:
A(x) = x* ( 30 - x ) ⇒ A(x) = 30*x - x²
Taking derivatives on both sides of the equation
A´(x) = 30 - 2*x
A´(x) = 0 ⇒ 30 - 2*x = 0
2*x = 30
x = 30/2
x = 15 ft
And y = ( 30 - x )
y = 15 ft
A(max) = 15*15
A(max) = 225 ft²
8x - 15 = 3x
+15 +15
8x = 3x + 15
-3x
5x = 15
/5 /5
x = 3
