Answer:
length: 13 feet
Step-by-step explanation:
width: x
length: 3x - 2
Area = Length * Width
65 = x(3x - 2)
65 = 3x² - 2x
3x² - 2x - 65 = 0
(3x + 13)( x - 5) = 0
3x + 13 = 0 and x - 5 = 0
3x = -13 x = 5
x = - 13/3
**Width cannot be a negative number so we'll discard -13/3.
width: x = 5
length: 3x - 2 = 3(5) - 2 = 13
Answer:
Option a
Stratified random sample
Explanation:
(a) In stratified random sampling, a division of the population occurs in such a way that a population is stratified in different small groups or strata with common traits and same proportion both in population and sample. this type of sample so formed is known as stratified random sample.
(b) Simple random Sample:
This sample is formed by the random and unbiased selection of individual that represents the population.
(c) Population:
The entire set of individuals with certain specific characteristics represents a population whereas a sample is drawn out of the population and can be referred to as the subset of the population.
(d) Cluster Sample:
In this, separate sample groups are formed known as clusters, here sampling of random clusters take place.
8 cups because 4 cups are in 1 quart :)
Answer:
The solution of the system of equations is the point 
Step-by-step explanation:
we have
-----> equation A
-----> equation B
Multiply the equation B by 2 both sides
------> equation C
Adds equation A and equation C
Find the value of y
Substitute the value of x in equation A
The solution of the system of equations is the point
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²
