Answer: -1.7
Step-by-step explanation:
Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.
i.e.
Let x represents the monthly income.
Since . 
For x= 1030 , we have
Hence, the required z-score = -1.7
Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board thatremains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
brainly.com/question/16994941
Answer:
9/25x^2 -25
Step-by-step explanation:
Answer:
a = 15
Step-by-step explanation:
The Pythagorean theorem applies:
a² + 20² = 25²
a² = 625 - 400 . . . . . subtract 20²
a = √225 . . . . . . . . . . take the square root
a = 15
_____
You might recognize that the given measures (20, 25) are in the ratio 4:5. There is only one right triangle with sides in that ratio: the 3:4:5 right triangle. That is, the unknown side (a) matches
a : 20 : 25 = 3 : 4 : 5 . . . . numbers on the left are 5 times those on the right
a = 5·3 = 15
