Answer:
x = 3 and y = 1
Step-by-step explanation:
Given equations
y=3x-8 and y=4-x
We will substitute y from second equation in the first and get:
4-x = 3x-8 first we will add (+x) to both sides and get
4-x+x = 3x+x-8 => 4 = 4x-8 now we will add (+8) to the both sides and get
4+8 = 4x-8+8 => 12 = 4x now we will change the sides of equation and get
4x = 12 => x = 12/4 = 3 => x=3 now we will replace x=3 in the second equation
y= 4-x = 4-3=1 => y=1
Finally we have (x , y) = ( 3 , 1)
God with you!!!
Answer: Area of circular plate is 36.5 square inches
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Circumference of circular plate = 21.4 inches. Therefore
2 × 3.14 × r = 21.4
6.28r = 21.4
r = 21.4/6.28
r = 3.41 inches
The formula for determining the area of a circle is expressed as
Area = πr²
Area of circular plate = 3.14 × 3.41² = 36.5 square inches
Answer:


Step-by-step explanation:
Given that A perfume company claims that the mean weight of ther new perfume is at least 8.9 fluid oz
For testing this claim, in Statistics we perform a certain measures called hypothesis testing.
For this first step is to create null and alternate hypothesis.
Normally null hypothesis would have some statistic = something
Here we want to test the mean weight of perfume
Hence null hypothesis would be
H0: mu = 8.9 fl oz.
Alternate hypothesis would be opposite of this claim
i.e.
Ha: mu ≠8.9 fluid oz
Hence answer is


Answer:
A, B, D, G, and H should be correct
Step-by-step explanation:
I've done the same problem and those were the answers shown