Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6 , then
y = 6x + c ← is the partial equation
To find c substitute (2, 19) into the partial equation
19 = 12 + c ⇒ c = 19 - 12 = 7
y = 6x + 7 → B
Answer:
$280.51
Step-by-step explanation:
The formula we want to use:
where:
P is the principal
r is the the rate
n is the number of compounding per year
t is total number of years
A is the ending amount
We are given P=200, r=.07, n=1 (compounded once a year), t=5.
So plugging this in:
Simplify a little:
Just a little more:
Now I'm going to put the rest of this in the calculator:
200*(1.07)^5 is what I'm putting in my calculator.
This is approximately 280.5103461.
To the nearest cent this is 280.51
I think the answer should be 12.
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
Part 1
The correct option is B
Part 11
The correct option is H
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
Generally the sample mean for the input temperature is mathematically represented as
Generally the sample mean for the output temperature is mathematically represented as
Generally the difference between the mean of the input temperature and that of the output temperature is
=>
=>
Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as
=>
=>
The null hypothesis is
The alternative hypothesis is
Generally the test statistics is mathematically represented as
Generally the p-value is mathematically represented as
From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14
So
From the values obtained we see that the hence the decision rule is fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Answer:
the length od the midsegment is 10
Step-by-step explanation:
8+12/2=20/2=10