Answer:
function b
Step-by-step explanation:
When its asking for which function has a greater rate of change its asking for which slope has a greater value
the slope is calculated by change in y over change in x
for function a, as y goes up 2 x goes up 1
so the slope ( rate of change) is 2/1
for function b is y goes up 3 x goes up 1
so the slope (rate of change) is 3/1
3/1 is greater than 2/1 so function b has a greater rate of change
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
y= ab if a≠b
Step-by-step explanation:
y/a −b= y/b −a
multiply each side by ab to clear the fractions
ab(y/a −b) = ab( y/b −a)
distribute
ab * y/a - ab*b = ab * y/b - ab *a
b*y - ab^2 = ay -a^2 b
subtract ay on each side
by -ay -ab^2 = ay-ay -a^2b
by -ay -ab^2 =-a^2b
add ab^2 to each side
by-ay -ab^2 +ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab(b-a)
divide by (b-a)
y (b-a) /(b-a)= ab(b-a)/(b-a) b-a ≠0 or b≠a
y = ab
Use Desmos the graphing app it's great!
-5x-6.5>12
Add 6.5 to both sides...
-5x>18.5
Divide both sides by -5 and flip the sign...
x<-3.7
