Answer:
the answer is 2295
Step-by-step explanation:
of that doesn't work then put it in a calculator
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4
By hypothesis, x = -4, y = 3 and z = 2
Let's replace each letter by its given value:
2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9
So wrong. The correct answer is not -3, but 9.
Hope this helps! :D
Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by , where is the base length and is the height. Substituting given values, we have:
The volume of a trapezoidal prism is given by , where and are bases of the trapezoid, is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases () multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is (ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
Answer:
irratrrational Numbers
whole
real
Step-by-step explanation:
Answer:
5 ; 0.728 ; 0.00002
Step-by-step explanation:
According to the Central limit theorem, for a normal distribution, the population mean equals the sample mean., Hence the population mean, μ = sample mean = 5
The standard deviation of sampling distribution :
Standard deviation / sqrt(n)
σ / sqrt(n)
σ = 3 ; n = 17
3 / sqrt(17)
3 / 4.1231056
= 0.7276
= 0.728
3.)
P(x < 2) :
Using :
Z = (x - mean) ÷ s/sqrt(n)
P(x < 2) = (2 - 5) ÷ 3/sqrt(17)
P(x < 2) = -3 / 0.7276068
P(x < 2) = - 4.1231060
Z < - 4.123 = 0.00002 (Z probability calculator).