Answer:
0.6443
Step-by-step explanation:
Given the that:
P(Z < 0.37) ; using a standard normal distribution :
The probability can be obtained using several methods :
Using a standard normal distribution table ;
P(Z < 0.37) = obtain the value at the intersection where 0.3 is on the vertical axis and 0.07 on the horizontal axis of the Z distribution table
Hence,
P(Z < 0.37) = 0.6443
This is parallelogram so
8=2x
X=4
Or
3x=12
So again we will find x=4
Answer:
The value of x is 4
Step-by-step explanation:
In a right triangle, if a segment is drawn from the right angle ⊥ to the hypotenuse like the given figure, then
∵ The length of one side of the right triangle = (x + 2)
∵ The length of the hypotenuse = x + 5
∴ (x + 2)² = x (x + 5)
∵ (x + 2)² = (x + 2)(x + 2)
∴ (x + 2)(x + 2) = x(x + 5)
→ Simplify the two sides
∵ (x)(x) + (x)(2) + (2)(x) + (2)(2) = (x)(x) + (x)(5)
∴ x² + 2x + 2x + 4 = x² + 5x
→ Add the like terms in the left side
∴ x² + 4x + 4 = x² + 5x
→ Subtract x² from both sides
∵ x² - x² + 4x + 4 = x² - x² + 5x
∴ 4x + 4 = 5x
→ Subtract 4x from both sides
∴ 4x - 4x + 4 = 5x - 4x
∴ 4 = x
∴ The value of x is 4
The answer is -9-18x
27−9x−9(x+4)=
27−9x−(9x+36)=
27−9x−9x−36=
Collect like terms.
(27−36)+(−9x−9x)= −9−18x
Answer:
Step-by-step explanation:
Factor using Rational Root Theorem.
This means our possible roots are
positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.
This means that
is a root.
We can divide the top equation by the root (x-1). Our new equation is
Now we can factor this completely
So this equation in factored form is