Plug in the first x value into equation to solve for y. So (-8+2) is 6 and 6 squared is 36 so first coordinate point is (-8,36) just do that for each x value.
Answer:
d. 9.25
Step-by-step explanation:
g(f(3.5)) = g(3.5²) = g(12.25) = 12.25 -3 = 9.25
_____
<em>Creating the composite function first</em>
The composition (g ∘ f)(x) means g(f(x)). That is, the value of f(x) is used as the argument for function g.
g(f(x)) = g(x²) = x² -3
Then g(f(3.5)) = 3.5² -3 = 12.25 -3 = 9.25
Answer:
Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.
Step-by-step explanation:
- State the null and alternative hypothesis as
H0: μ= 160 against the claim Ha :μ ≠160
Sample mean = x`= 165
Sample standard deviation= Sd= 12
2. The test statistic to use is
t= x`-μ/sd/√n
which if H0 is true , has t distribution with n-1 = 36-1= 35 degrees of freedom
3. The critical region is t< t (0.025(35)= 2.0306
t= x`-μ/sd/√n
4. t = (165-160)/[12/√(36)] = 5/[6] = 0.833
5. Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.
Now
6. The p-value is 0 .410326 for t= 0.8333 with 35 degrees of freedom.
9514 1404 393
Answer:
26.7 lb
Step-by-step explanation:
The weight of fat is ...
14.5% × 184 lb = 0.145 × 184 lb ≈ 26.7 lb
About 26.7 pounds of his weight is made up of fat.