Answer:
The value of (x + y)³ is 1728.
Step-by-step explanation:
First, you have to find the value of x + y :
x² + 2xy + y² = 144
x² + xy + xy + y² = 144
x(x + y) + y(x + y) = 144
(x + y)(x + y) = 144
(x + y)² = 144
x + y = √144
x + y = 12
Next, the value of (x + y)³ :
(x + y) = 12³ = 1728
3 is 13 more than 10, and 3 is 30% of 10, so 30% im pretty sure
Answer: the probability that a measurement exceeds 13 milliamperes is 0.067
Step-by-step explanation:
Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = current measurements in a strip.
µ = mean current
σ = standard deviation
From the information given,
µ = 10
σ = 2
We want to find the probability that a measurement exceeds 13 milliamperes. It is expressed as
P(x > 13) = 1 - P(x ≤ 13)
For x = 13,
z = (13 - 10)/2 = 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.933
P(x > 13) = 1 - 0.933 = 0.067
Answer:
B. 128 square centimeters
Step-by-step explanation:
So first make the top triangle part its own figure. By using information provided you can figure out the height of the triangle would be 3 by subtracting 11 from 14. Take 3 multiply it by the base and then 1/2 to get 18. Then find the area of the rectangle which would be 10 times 11 which is 110. Add the areas of the two parts, 110 and 18 to get 128.
The volume of the prism that its faces is made from 6 identical squares is 48 cm³.
<h3 /><h3>Volume of a square prism</h3>
A square prism is a 3-dimensional cuboid where the base and top are equal squares.
where
a = side length
h = height
Therefore,
a = 2 cm
h = 12 cm
Therefore,
v = a²h
v = 2² × 12
v = 4 × 12
v = 48 cm³
learn more on prism here: brainly.com/question/3533018