The area is length times width. So the answer is 2304x^11
Step-by-step explanation:
if |A|≥B then
A≥B or A≤-B
4x-10≥14 or 4x≤-14
solve 4x-10≥14
add 20 on both sides
4x≥10+14
4x≥24
divide by 4 on both ends
x≥24/4
x≥6
now solve
4x-10≤-14
add 10 on both sides
4x≤-14+10
4x≤-4
divide both sides by 4
x≤-1
(-∞,-1] U [6,∞)
Answer: 4 units
Step-by-step explanation:
Answer: No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Step-by-step explanation:
Since we have given that
Mean height = 61.5 inches
Standard deviation = 4.4 inches
n = 100
So, test statistic value would be
At 10% level of significance, in two tail test ,
z = 1.28
Since 1.28 > -2.727
So, we will accept the null hypothesis.
Hence, No, the data provided is not sufficient evidence to conclude that the mean height of women in the city differs from the national mean.
Answer:
x=+6
Step-by-step explanation:
First, let's divide both sides of the equation by
3
:
⇒
3
x
2
3
=
108
3
⇒
x
2
=
36
Then, let's subtract
36
from both sides:
⇒
x
2
−
36
=
36
−
36
⇒
x
2
−
36
=
0
The left-hand side of the equation is now in the form of a difference of squares.
We can factorise it in the following way:
⇒
(
x
+
6
)
(
x
−
6
)
=
0
Using the null factor law:
∴
x
=
±
6
Therefore, the solutions to the equation are
x
=
−
6
and
x
=
6
.
