Options:
H0 :
H0 : µ =12
H0 > 12> H1
None of these
Answer:
None of these
Step-by-step explanation:
The answer is
H0 : µ ≧ 12
Ha : µ<12
We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).
The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.
First you need to solve for "x": 6x+3=8x-21, 3=2x-21, 24=2x, x=12.
Then plug in number 12 to your equation: 6(12)+3=75;
Just to make sure that I solved correctly for x, plug in 12 into the second equation: 8(12)-21=75.
Yahoo, the x is 12 and angle measure is 75°.
Answer:
Build an exponential model from data
b must be greater than zero and not equal to one.
The initial value of the model is y = a. If b > 1, the function models exponential growth. As x increases, the outputs of the model increase slowly at first, but then increase more and more rapidly, without bound. If 0 < b < 1, the function models exponential decay.
Step-by-step explanation:
Answer:
y-y1 = m (x-x1)
where
m is the slope
and (x1,y1) is one of the points given.
You have been given 2 points (-12,8) and (9,1). You can call one of them (x1,y1) and the other (x2,y2). It doesn't matter which one is which.
But before we go further, we need to determine the slope.
We can do this from the points as well.
y2-y1
m = ---------
x2-x1
Let's say
(x1,y1) = (-12,8)
(x2,y2) = (9,1)
This gives us a slope of
y2-y1 1-8 -7 -1
m = --------- = ---------- = ---- = ---
x2-x1 9-(-12) 21 3
Now that we have everything we need
y-8 = (-1/3)[x-(-12)]
Distribute the -1/3
y-8 = (-1/3)x -4
If we add 8 to both sides we have the equation in the slope intercept form (y=mx+b)
y = (-1/3)x + 4