All categories

2 years ago

Consider a uniform density curve defined from x = 0 to x = 8. What percent of observations fall between 1 and 5?

Mathematics

1 answer:

allsm [11]2 years ago

7 0

Answer: 0.50, which is choice b

Explanation:

The interval $1 \le x \le 5$ covers 5-1 = 4 units in the horizontal direction.

This is out of 8 units that span from x = 0 to x = 8 (we could say 8-0 = 8).

So we get the final result of 4/8 = 0.50

In other words, the interval from x = 1 to x = 5 covers exactly half of the interval from x = 0 to x = 8.

You might be interested in

Brandon has 32 stamps. he wants to display the stamps in rows,with the same n

AleksandrR [38]

Okay, let's work this out...
What we know:
-32 stamps in all
- rows (horizontal)
- same # in each
What we "want to know" :
- # of combinations (different)
Problem Solving :
This is actually very easy its just the words than get ya!
1st : we need to figure out the factors of 32...
In other words, we need to figure out _x_=32 and how many different combinations and ways there are!
Note:(* means multiplication)
#1: What are the factors of 32?
32: 1*32 , 2*16 , 4*8
32: 32*1 , 16*2 , 8*4
The factors (not including 1 are 2,4,8,16)
Now, as you can see, there are 4 ways to get 32 as shown first.
||||||||||||||||
||||||||||||||||
^
That ¦ is 1 way with 16 in 2 rows. Basic multiplication, 16*2=32 or 16+16=32.
But, this is also a way,
||
||
||
||
||
||
||
||
||
||
||
||
||
||
||
||
Now there should be 2 in each row and 16 rows. Again 2*16=32 or 2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2=32
That's two ways so far.
||||||||
||||||||
||||||||
||||||||
Another way which is 4 rows with 8 in each.
4*8=32 or 8+8+8+8=32
But, this is also a way,
||||
||||
||||
||||
||||
||||
||||
||||
Now that is 8 rows with 4 in each. 8*4=32 or 4+4+4+4+4+4+4+4=32
That was our fourth way.
Again NOT including 1. If you include 1 then there will be 6 ways but aside from that there are 4 ways.
I hope that helped I worked hard typing this all for you. Any questions just ask!

3 0

3 years ago

Don’t mind the number 34 but what I need help?

dybincka [34]

U will first need to collect the like terms,
x+16>-5x+4
-5x will go to the other side becoming 5x while 16 while also cross the other side becoming -16
x+5x>4 -16
6x> when 4 is taken out from -16 it becomes - 12
6x>-12 when divided the answer obtained will be -2

3 0

3 years ago

A tree that is 4 ft tall is growing at a rate of 1 ft each year a tree that is 12 feet tall is growing at a rate of 1/2 ft each

Andreyy89

Answer:

16 years

Step-by-step explanation:

Given data

For the first tree

let the expression for the height be

y=4+x--------------1

where y= the total height

4= the initial height

x= the number of years

For the second tree, the expression is

y=12+0.5x-------------2

Equate 1 and 2

4+x=12+0.5x

x-0.5x=12-4

0.5x= 8

x= 8/0.5

x=16

Hence it will take 16 years for both trees to have the same height

5 0

3 years ago

How can you tell if a function is linear by looking at the graph or the equation

MrMuchimi

Every linear graph is just a straight line, so if there are any curves or unnatural shapes, than you know it is not linear. As for equations, if it can be shaped into y=mx+b where m and b are numbers, then it will be a linear equation.

7 0

2 years ago

After polling a class of 24 students by a show of hands, you find that 9 students play soccer and 21 students play basketball. g

MArishka [77]

The answer is 6 because 21+9=30 and 30-6=24 and 24 is the number of students in the class.

7 0

3 years ago