Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) = ![\frac{1}{2}\text{log}_{15}(x+4)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Blog%7D_%7B15%7D%28x%2B4%29)
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Since, k is between 0 and
, function f(x) is vertically compressed by a scale factor
.
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) = ![\frac{1}{2}\text{log}_{15}(x+4)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Blog%7D_%7B15%7D%28x%2B4%29)
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
Answer:
Option b.
Step-by-step explanation:
Sample size n = 9
sample mean = 217.222
Standard deviation s = 1.202
alpha a = 0.025
H0 : u = 216
H1 : u > 216 ( claim)
Now run a T test and result is :
Test statistic, t = ![\frac{(xbar-u)}{\frac{s}{\sqrt{n}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28xbar-u%29%7D%7B%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D)
t = ![\frac{(217.222-216)}{\frac{1.202}{\sqrt{9}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28217.222-216%29%7D%7B%5Cfrac%7B1.202%7D%7B%5Csqrt%7B9%7D%7D%7D)
= ![\frac{1.222}{0.40066}}](https://tex.z-dn.net/?f=%5Cfrac%7B1.222%7D%7B0.40066%7D%7D)
t = 3.0509
Critical value = t(a,n-1) = t(0.025,9-1)
= 2.306
Since t > critical value, Hence reject H0.
Option b. is the answer. Yes, because computed t is greater than the critical value.
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
51
Step-by-step explanation:
i used a caulator to sovle it but 22 plus 22 is 44 take away thats 29 and add 22 and that is 51
Answer:
-13, because the temperature is -13 degrees Celcius. An integer is a number that can be expressed as a non-fractional number, so -13 would be the answer.