Answer:1/2 y
Step-by-step explanation:
We can solve this using ration reasoning:
x
2
x
1
=
y
2
y
1
Explanation:
If
x
varies directly with
y
(written
x
∝
y
), then doubling
y
means doubling
x
, so the rations of final values and initial values will be the same:
x
2
x
1
=
y
2
y
1
In this case,
x
2
9
=
24
18
x
2
=
9
⋅
24
18
=
12
Or, intuitively, if
x
∝
y
and
x
=
9
when
y
=
18
, we can conclude that
x
=
1
2
y
and
1
2
of 24 is 12.
-6x+3=45
-3 -3 subtract
-6x=45
Divide both sides by -6
X=-7
I think this is the answer
Answer:
-∛(x-1)
Step-by-step explanation:
The point of inflection at (1, 0) means the graph has been translated 1 unit to the right. The point (2, -1) on the curve means it has been reflected across the x-axis.
Those conditions are met by ...
g(x) = -∛(x -1)
__
Translation "h" units to the right is accomplished by replacing x with (x-h) in a function definition. Reflection across the x-axis is accomplished by negating the output of the function. That is, ∛x has been transformed to -∛(x-1).
Answer:
Step-by-step explanation:
The confidence interval for the difference of two population proportion is given by :-
Given :
The proportion of students in the first sample replied that they turned to their mother rather than their father for help. =
The proportion of students in the second sample replied that they turned to their mother rather than their father for help. =
Significance level :
Critical value :
Now, the 98% confidence interval for will be :-
Hence, the 98% confidence interval for is
Answer:
<em> 4.5m</em>
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
<em>Hence the length of the ladder is 4.5m</em>