Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
<span>1. h = -16t² + vt + c
⇒ vt = 16t² + h - c
⇒ v = 16t + (h-c)/t
2. c = 5 ft
t = 3s
h = 131 ft
v = 16*3 + (131-5)/3 = 48 + 42 = 90 ft/s
when t=0, velocity is not defined. That means at t=0, there is no velocity of the t-shirt or it is 0.
</span>
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:
Step-by-step explanation:
We have been given two points on a line 
and 
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation 
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.
Let point 
and point 
.
Now, we will substitute and coordinates of point in slope-intercept form of equation as:
Upon substituting and 
in slope-intercept form of equation, we will get our required equation as:
Therefore, our required equation would be .
The answer is 3 square units
First divide by 2
|x+1/4|=3
Then you pick the possible answers
|x+1/4|=3
|x+1/4|=-3
2 3/4 or -3 1/4
