The angle for x is 180 degrees because it is at the part of the circle that is straight up and down
M 1 = V 1 * d
m 2 = V 2 * d
Both tetrahedrons have the same density.
V = 1/3 * a²√3/4 * h
V 1 = 1/3 * 1² * √3 / 4 * √2 / √3 = √2 / 12 cm³
V 2 = 1/3 * 3²√3 /4 * √6 = 9√2 / 4 cm³
m 1 : m 2 = √2 /12 : 9√2/4
m 1 * 9√2 / 4 = m 2 * √2 / 12
m 1 = m 2 / 27
m 1 + m 2 = 100 g
m 2 / 27 + m 2 = 100 g / * 27
m 2 + 27 m 2 = 2700
28 m 2 = 2700
m 2 = 2700 : 28
m 2 = 96.42 g
Answer:
The weight of the bigger tetrahedron is 96.42 g.
Answer:
y= -5x-7
Step-by-step explanation:
Hope this helps!
Answer:
4/3 (assuming the (-4x 1) is (-4x+1))
Step-by-step explanation:
-3(-4x+1)=13
12x-3=13
12x=16
x=4/3
Answer:
Probability = 0.00621
Step-by-step explanation:
We are given;
Population mean; μ = 400
Population standard deviation; σ = 20
Raw score; x¯ = 450
the probability that the actual costs will exceed the budgeted amount will be the p-value.
Thus, let's first find the z-score after which we will find the p-value.
z = (x¯ - μ)/σ
z = (450 - 400)/20
z = 50/20
z = 2.5
From online p-value from z-score calculator attached, using z = 2.5; one tailed hypothesis; significance level of 0.05, we have;
P-value = 0.00621