Answer:
A)
Note that
Lower Bound = X - z(alpha/2) * s / sqrt(n)
Upper Bound = X + z(alpha/2) * s / sqrt(n)
where
alpha/2 = (1 - confidence level)/2 = 0.025
X = sample mean = 1723.4
z(alpha/2) = critical z for the confidence interval = 1.959963985
s = sample standard deviation = 89.55083319
n = sample size = 30
Thus,
Lower bound = 1691.355235
Upper bound = 1755.444765
Thus, the confidence interval is
( 1691.355235 , 1755.444765 ) [ANSWER]
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b)
We assumed taht the distirbution of these observations is approximately normally distributed.
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c)
Yes, because the values are not far away from each other.
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
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The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
Sa = 1.5*V
Step-by-step explanation:
We have that the surface area of a sphere has the following formula:
Sa = 4*pi*r^2
we know that r = 2, so if we replace it, we're left:
Sa = 4*pi*(2^2)= = 4*pi*4
Sa = 16*pi
Now, the volume has the following formula:
V = 4/3*pi* r^3
Replacing it is our job:
V = 4/3*pi* (2^3) = 4/3*pi*8
V = 32/3*pi
Now, Sa/V, it would remain:
Sa/V = 16*pi / 32/3*pi
Sa/V = 48/32 = 1.5
Therefore, Sa = 1.5*V
Answer:
-22y+27
Step-by-step explanation:
(4y-9)(2y-3)
<u>Distribute:</u>
8y-12y-18y+27
<u>Combine like terms:</u>
8y-12y-18y=-22y
-22y+27
I don’t know I’m doin this so they can answer my question
