<u>Answer:</u>
<u>Step-by-step explanation:</u>
------------(1) (given)
-------------(2) (given)
so,
f(x) = h(g(x)) (given)
= 
-----(from (1) and (2))
⇒
-----(taking g(x) = k)
⇒ is the function.
Answer:
20.5 : 61.5
Step-by-step explanation:
1:3
1 + 3 = 4
82 ÷ 4 = 20.5
ratio of 1:3
1 × 20.5 = 20.5
3 × 20.5 = 61.5
20.5 : 61.5
Uh what did you mean to upload a picture or somthing
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
<h3>Proportion</h3>
Shadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test
