Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
Answer:
a) 40 pints b) 64 ounces c) 46.5 quarts d) 52 cups e) 23 tablespoons f) 7 gallons g) 108 teaspoons h) 384 fluid ounces
Step-by-step explanation:
<u>a. 5 gallons to pints</u>
1 pint = 0.125 gallons
x pint = 5 gallons
<em>Cross multiply</em>
0.125x = 5
x = 40 pints
<u>b. 128 tablespoons to fluid ounces</u>
1 ounce = 2 tablespoon
x ounce = 128 tablespoons
<em>Cross multiply</em>
2x = 128
x = 64 ounces
<u>c. 93 pints to quarts</u>
1 quart = 2 pint
x quart = 93 pints
<em>Cross multiply</em>
2x = 93
x = 46.5 quarts
<u>d. 13 quarts to cups</u>
1 cup = 0.25 quart
x cup = 13 quarts
<em>Cross multiply</em>
0.25x = 13
x = 52 cups
<u>e. 69 teaspoons to tablespoons</u>
1 tablespoon = 3 teaspoons
x tablespoons = 69 teaspoons
<em>Cross multiply</em>
3x = 69
x = 23 tablespoons
<u>f. 112 cups to gallons</u>
1 cup = 0.0625 gallons
112 cups = x gallons
<em>Cross multiply</em>
x = 112 x 0.0625
x = 7 gallons
<u>g. 18 fluid ounces to teaspoons</u>
1 teaspoon = 0.166667 ounces
x teaspoon = 18 fluid ounces
<em>Cross multiply</em>
0.166667x = 18
x = 108 teaspoons
<u>h. 3 gallons to fluid ounces</u>
1 gallon = 128 fluid ounces
3 gallons = x fluid ounces
<em>Cross multiply</em>
x = 128 x 3
x = 384 fluid ounces
!!
Answer:
The null hypothesis is that there is no difference in the mean number of male and female cats
H₀; μ₂ - μ₁ = 0
Step-by-step explanation:
The given parameters are;
The given percentage of male stray cat population = 50%
The given percentage of female stray cat population = 50%
The number of areas the researcher visits, n = 15
The number of stray male cats he finds = 11
The kind of test to be performed = Sign test
The significance level, α = 0.05
A) Therefore the null hypothesis is H₀; μ₂ - μ₁ = 0
The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0.
Answer:
Step-by-step explanation:
lets calculate the derivate of f using the chain rule:
we have that f'(1) = 4e^2, hence the equation is
or, equivalently,
These statements are true:
<span>1. The first number in an ordered pair is the x-coordinate.
2. The second number in an ordered pair is the y-coordinate.
3. The graph of a linear equation is usually a line.
</span><span>5. Ordered pairs are graphed as points in the coordinate plane.
</span>
