Answer:
I disagree with the statement.
Step-by-step explanation:
Speed of the ball is different at each position:
This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.
There is no way to define probability density because i can't calculate the probability at just one point:
This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.
A - B, B - C, C - D and so on.
So, probability density is used when you cannot the probability at just one point.
Answer:
1.5 ft^2
Step-by-step explanation:
Since the length is divided into 4 parts,
Length of a small square = 2/4
= 0.5 ft
Hence,
Area of 1 small square = (0.5)(0.5)
= 0.25 ft^2
Area of shaded portion = Area of 6 small squares
= 6(0.25)
= <u>1.5 ft^2</u>
Answer:
Total length after 33 days will be 117 miles
Step-by-step explanation:
A construction crew is lengthening a road. The road started with a length of 51 miles.
Average addition of the road is = 2 miles per day
Let the number of days crew has worked are D and length of the road is L, then length of the road can represented by the equation
L = 2D + 51
If the number of days worked by the crew is = 33 days
Then total length of the road will be L = 2×33 + 51
L = 66 + 51
L = 117 miles
Total length of the road after 33 days of the construction will be 117 miles.
Answer:
No.
Step-by-step explanation:
For there to be a equal sign, it will mean that both sides will have to have the same exact amount. If it is expressions on both sides, then the expressions must, when combined, equal to each other.
In this case, there is not given operation that will allow for both numbers to equal each other, and 17.8 is 10 less than 18.8, therefore it is not reasonable.
17.8 ≠ 18.8
Answer:
x = 5 and x = -19
Step-by-step explanation:
You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).
Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.
You are referring to the "quadratic formula." It states this:
-b ± √(b²-4ac)
x = -----------------------
2a
So, we insert the a, b and c values as indicated above:
-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576
x = ----------------------------------- = ---------------------------------- = ----------------------
2(10) 20 20
This comes out to:
x = (-14 + 24) / 2 and x = (-14 - 24) / 2
or:
x = 5 and x = -19
