Answer:
The surface area of the rectangular prism is 276.
Step-by-step explanation:
40 + 70 + 28 + 70 + 28 + 40 = 276
Every term added above represents the area of one side of the prism.
Answer:
x = 3
Step-by-step explanation:
2 + 6x = 20
6x = 18
x = 3
Hopefully this helps!
Brainliest please?
Answer:
x = 3
Step-by-step explanation:
Use FOIL method
(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)
= 3x² <u>- 8x - 15x</u> + 40 {Combine like terms}
= 3x² <u>- 23x</u> + 40
(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)
= 24 <u>- 4x - 18x </u>+ 3x² {Combine like terms}
= 3x² <u>- 22x</u> + 24
(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13
3x² - 23x + 40 = 3x² -22x + 24 + 13
3x² - 23x + 40 - 3x² + 22x - 24 - 13 = 0
<u>3x² - 3x²</u> - 23x + 22x + 40 - 24 - 13 = 0 {Combine like terms}
<u>0 </u> - x = 0
-x +3= 0
3 = x
x =3
= 0.3133
Given: μ = 560
σ = 90
To find: P (490 < X < 560)
Normal distributions are symmetric, unimodal, and asymptotic. A normal distribution is determined by two parameters the mean and the variance. A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. It's always easy to solve questions in terms to standard normal
Hence, converting normal distribution to standard normal gives:
P(490 < X < 560) = ≤
= P(0 ≤ Z < 0.888)
= P (z<0.89) - P(z ≤ 0)
Using standard normal table,
= 0.8133 - 0.5
P(490 < X < 560) = 0.3133
To learn more about Normal Distribution, visit:
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2 x -6 equals 0. add 6 to both sides. divide both sides by two. x equals 3