Translation - a slide up, down, left, or right
Reflection - a mirror image across an axis
Dialation - a scaled image that increaes or decreases in size
Rotation- the movement by a degree
Plot and connect the following points: P(1, −4), Q(5, −2), R(9, −4), S(7, −8), and T(3, −8). Give the best name for the polygon,
Citrus2011 [14]
Answer:
The area of the pentagon is = 31.5
Step-by-step explanation:
<em>First, we determine the perimeter of the "Pentagon" drawn in the attachment:</em>

<em>Now, we'll check the formula for pentagons:</em>

<em>we calculate the apothem by placing a 90° angle in one of the sides of the shape. It is equal to:</em>
apothem=3
<em>then, we can substitute the values in the formula</em>

Let me know if you have questions :D
Answer:
may 22
Step-by-step explanation:
Answer:
A)
μ = 5
σ = 2.2
B)
P(0) = 0.0066
C)
P(x ≥ 4) = 0.74
Step-by-step explanation:
A) The expected value is going to be the same as the mean μ.
We can use the binomial probability distribution because there are a fixed number of trials (500), each trial is independent and there are only two possible outcomes (CPU failure or not) and the probability of failure has the fixed value 0.01.
For binomial distributions:
μ = np, where p is the probability (in this case of CPU failure) and n is the number of trials (500)
μ = (500)(0.01) = 5
σ =
, where q = 1 - p
σ =
= 2.2
B) We can use the binomial probability formula
× pˣ × qⁿ⁻ˣ
× 0.01⁰ × 0.99⁵⁰⁰
C) In this case wee need to use a binomial distribution calculator. Setting n as 500, π = 0.01 and finding the probability above 3.
Answer:
2x=10
Step-by-step explanation:
7x-14=21
x=5
2x=10 (divide both sides by two)
2x/2 10/2
<u>x=5</u>