Let the width be W, then the length is 4W (since the width is 1/4 the length)
The area of the original deck is

The dimensions of the new deck are :
length = 4W+6
width=W+2
so the area of the new deck is :

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:




the length is

ft
Answer: width: 4, length: 16
<span>A chord of a circle is a straight line segment whose endpoints both lie on the <span>circle
</span></span><span> The statement that best describes a chord of a circle is
</span>It is a segment that connects two distinct points on a circle
so the correct option is c
hope it helps
Answer:
P(Z < 2.37) = 0.9911.
Step-by-step explanation:
We are given that Let z denote a random variable that has a standard normal distribution.
Let Z = a random variable
So, Z ~ Standard Normal(0, 1)
As we know that the standard normal distribution has a mean of 0 and variance equal to 1.
Z =
~ N(0,1)
where,
= mean = 0
= standard deviation = 1
Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)
P(Z < 2.37) = P(Z <
) = P(Z < 2.37) = 0.9911
The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.