Answer:
Step-by-step explanation:
Based on the two graphs I see at the bottom of the photo, you're looking at a quadratic function. The answer you put in is a linear equation.
Quadratic functions follow the form 
, where a, b, and c can be either positive or negative constants.
The table says that the equation, when graphed, should start at the top, slide to the bottom, and then slide back up to the top. So a must be positive.
c has to be -8 since it's the y-intercept.
So far, our equation is 
. We'll need to plug in some points in order to work out what 
and 
are.
Let's use 
as the first set of points, and 
as the second set.
Now we have 2 equations with 2 unknowns. Solve for one variable:
Now substitute that into the second equation:
Now substitute the result into the first equation.
Now substitute our values back into the original equation:
Please let me know if this is correct.
Answer
A = 30.25pi. PLS GIVE BRAINLIEST
Step-by-step explanation:
so if circumference is 11, and formula for circumference is 2pi*r, we can work backwards to find the radius.
Radius: 11pi/2 = 5.5pi = 5.5 is radius
Area = pi * r^2
so Area = pi*5.5^2
so A = 30.25pi left in terms of pi
Answer:
a) The evidence suggest the true mean life of a biomedical device > 5500
b) (5487.94, +∞)
c) There is evidence to support that the mean is equal to 5500
Step-by-step explanation:
Here we have
(a) To test the hypothesis we have the claim that the mean life of biomedical devices > 5500
Therefore, we put the null Hypothesis which is the proposition that a difference does not exist. That is
H₀: μ = 5500
Therefore, the alternative hypothesis will be
Hₐ: μ > 5500
The test statistic is then found by;
The P value from the T table at df = n - 1 = 15 - 1 = 14 is
0.025 < P < 0.05
The P value is given as 0.036 from the T distribution at 14 derees of freedom df
Therefore, since P < α or 0.05, we reject the null hypothesis. That is we fail to reject Hₐ: μ > 5500. The evidence suggest the true mean life of a biomedical device > 5500
(b) The 95% confidence interval is given as
Which gives t
= 
2.145
The confidence interval of the lower bound on the mean is then
(5487.94, +∞)
c) From the above result, we find that the mean of 5500 is contained in the range of the lower confidence on the mean. We can therefore, accept the null hypothesis. That is there is evidence to support that the mean is equal to 5500.
Answer: 1902.36
Step-by-step explanation:
When interest is compounded monthly , the formula to find the accumulated amount is
, where P = principal value , r = rate of interest , t = time.
As per given,
r= 24% = 0.24
P= $1500
t= 1 year
Put all value in formula , we get
Hence, he need to pay $1902.36.
X+y=12 -- 1
3x+2y=29 -- 2
(1)x2
2x+2y=24 -- 1
(2)-(1)
x=5
Sub x into 1
x+y=12
5+y=12
y=7
Her two numbers are 5 and 7
