Answer:
(x,y)= (-1,-4)
Step-by-step explanation:
y=4x
put this value of y in 3x-y=1
3x-4x=1
-x=1
x= -1
y=4(-1)
y= -4
So (x,y) ordered pair is (-1,-4)
Answer:
(a) f(7) = 23
(b) x = 13/3
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 2
(a) f(7) is x = 7
(b) f(x) = 15
Step 2: Substitute and Evaluate
(a) f(7) = 3(7) + 2
f(7) = 21 + 2
f(7) = 23
(b) 15 = 3x + 2
13 = 3x
x = 13/3
measure of what you have not finished the question
Answer:
Step-by-step explanation:
Formula to be used is N=N0e^(kt)
N0 - amount of bacteria at time 0, which is 10g
t=2, 30g
30 = 10*e^(k*2)
3 = e^(2k)
2k = ln3
k = 0.5ln3
At t=6:
N = 10*e^(0.5ln3*6)
N = 10e^(3ln3)
N = 10e^ln27
N = 10*27 =270
So the amount of bacteria at t=6 is 270
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean given
represent the population standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
Calculate the statistic
We can replace in formula (1) the info given like this: