If the statement is true, and you Rearrange it. It should still be true unless you added false facts into it.<span />
That’s how you plug it in and get the answer because when you plug in z and y value correctly you just have to follow the rule and simplify
So final answer would be +2
Answer:
8x⩽112
Step-by-step explanation:
Width of the rectangle (in centimeters) = x
Therefore, the lenght of the rectable is 3x (in centimeters).
The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.
The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112.
Answer:
0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.
Step-by-step explanation:
Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.
, 
n=number of selected pieces= 100.
The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is



= 1 - 0.84134
=0.15866.
Answer:
The maximum distance traveled is 4.73 meters in 0.23 seconds.
Step-by-step explanation:
We have that the distance traveled with respect to time is given by the function,
.
Now, differentiating this function with respect to time 't', we get,
d'(t)=9.8t-2.3
Equating d'(t) by 0 gives,
9.8t - 2.3 = 0
i.e. 9.8t = 2.3
i.e. t = 0.23 seconds
Substitute this value in d'(t) gives,
d'(t) = 9.8 × 0.23 - 2.3
d'(t) = 2.254 - 2.3
d'(t) = -0.046.
As, d'(t) < 0, we get that the function has the maximum value at t = 0.23 seconds.
Thus, the maximum distance the skateboard can travel is given by,
.
i.e.
.
i.e.
.
i.e.
.
i.e. d(t) = 4.73021
Hence, the maximum distance traveled is 4.73 meters in 0.23 seconds.