Answer:
Step-by-step explanation:
The slope is -2/4. Don't forget the x!
Answer:
let ' x' be the number
the three data values x-5 , x ,x+10
Assume x value is 5
the data values are 0,5,10
Step-by-step explanation:
Explanation:-
let assume 'x' be the number
Given the highest value is increased by 10 , that is x+10
and also given the lowest value is decreased by 5 that is x-5
Final answer:-
now the sequence of given data x-5 , x , x+10
Example:-
am choosing 'x' value is 5
now the data values are 5-5 , 5, 5+10
0 , 5 , 15
The slopes of lines perpendicular to each other are opposite reciprocals. So, if you are given that the slope of a line is 3 and need to find the slope of a line perpendicular to that line, you'd flip that number around and negate it, leaving you with -1/3.
To find the slope of the given line, first get it into slope-intercept form (y - mx + b, where m is the slope and b is the y-intercept).
3y = -4x + 2
y = -4/3x + 2/3
The slope is -4/3. To find the slope of a perpendicular line, find its opposite reciprocal. It is 3/4.
Answer:
3/4 (the first option)
Answer:
a. n= 47
b. n= 128
Step-by-step explanation:
Hello!
The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.
You need to calculate the sample size to estimate the population with determined error margins.
To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.
The formula of the margin of error (d) is:
d=
* (
)
I've cleared the sample size of the formula

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.
a)
95% CI
d= 8 pounds


n= 46.35 ≅ 47
b)
99% CI
d= 5 pounds


n= 127.49 ≅ 128
I hope it helps!
Given that the sequence is:
1,2,4,8,32
the recursive formula will be found as follows:
first term is=1
the sequence can be written as:
1,2,4,8,32
=(1*2^0),(1*2^1),(1*2^2),(1*2^3),(1*2^4)
thus the recursive formula will be
an=a1(r)^(n-1)
plugging the values we get:
an=1(2)^(n-1)