5p + 4g = 42.5
<span>3p + 6g = 34.5 </span>
<span>15p + 12g = 127.5 </span>
<span>-6p - 12g = -69 </span>
<span>9p = 58.5 </span>
<span>p = 6.5 </span>
<span>g = 2.5 </span>
<span>popcorn = $6.50 </span>
<span>granola = $2.50
A is the answer </span>
Answer:
Null hypothesis is rejected. Standard deviation is > 8 miles per hour
Step-by-step explanation:
σ [Population standard deviation] = 8 , s [sample standard deviation] = s
n [no of items] = 8
H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8
χ2 = (n - 1) . s^2 / σ^2
= 49 x (10.5)^2 / 82 = 5402.25 / 64
χ2 = 84.410
df [degree of freedom] = n -1 = 50 - 1 = 49
P value (χ^2 49 > 84.410) = 0.00125
p = 0.0013
p < α ie 0.05
So, H0 is rejected
Hence we state that standard deviation is > 8 miles per hpur
Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
90° is the correct answer
Hello!
To find the volume of a cylinder, use the formula: V = πr²h.
In the formula, r is the radius, and h is height of the figure.
In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.
V = π(5)²(8)
V = π(25)(8)
V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)
Therefore, the volume of this cylinder is 628.32 feet cubed.
