Answer:
0.3745
Step-by-step explanation:
Data
mean (
): 80
standard deviation (
): 4
Normal distribution table is in figure attached
.

Z = (85 - 80)/4 = 1.25
Area below curve = 0.3944
Z = (82 - 80)/4 = 0.5
Area below curve = 0.0199
Proportion of exam scores between 82 and 85?
0.3944 - 0.0199 = 0.3745
Answer:
Length = 15 cm, width = 12 cm, Perimeter = 54 cm
Step-by-step explanation:
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².
Length = 5x
Breadth = 4x
Area of rectagle,
A = bl
180 = 5x × 4x
180 = 20x²
x² = 9
x = 3
Length = 5x = 5(3) = 15 cm
Width = 4x = 4(3) = 12 cm
Perimeter of rectangel,
P = 2(l+b)
= 2(15+12)
= 54 cm
Hence, this is the required solution.
We are told that f(x) = x + 2. We want to find
.
Squaring f(x) on one side means we square x + 2 on the other.
So,
f(x) = x + 2
(f(x))² = (x + 2)²
= (x + 2)(x + 2)
We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.
= x² + 2x + 2x + 4
= x² + 4x + 4
So [f(x)]² = x² + 4x + 4
Answer:
<em>The measure of a single interior angle is 169.4°</em>
Step-by-step explanation:
<u>Angles in Regular Polygons</u>
The sum of the interior angles, in degrees, of a regular polygon, is given by the formula 180(n – 2), where n is the number of sides.
For a regular 34-gon, n=34, and the sum of the interior angles is:
180(34 – 2)=5,760°
The measure of any of the interior angles is

The measure of a single interior angle is 169.4°
Find the missing angles using either the triangle sum theorem (a2+b2=c2) or inverse trigonometric ratios