If 64^-5 = 2^x, what is the value of x?
1 answer:
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Answer:
the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Step-by-step explanation:
Given the data in the question;
Feeder 1 2 3 4
Observed visits; 60 90 92 58
data sample = 300
Expected = 300 / 4 = 75
the x² test statistic = ?
= ∑[ (
-
)²/
]
= [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]
= [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]
= 13.7066 ≈ 13.71
Therefore, the x² test statistic 13.71
Option a) 13.71 is the correct answer.
Answer:
b. 1,900 mountain bicycles, 0 racing bicycles and 0 touring bicycles to maximize profit
c. $41,800
d. 1,200 units of aluminium is left over
Step-by-step explanation:
a. Let:
x= Number of racing bikes,
y= Number of touring bikes and
z = Number of mountain bikes
Constraints are;
17x+19y+34z<=64600
9x+21y+12z<=24000
x>=0
y>=0
z>=0
b. Maximize P = 8x+12y+22z
Subject to;
17x+19y+34z<=64600
9x+21y+12z<=24000
with x>=0 ; y>=0 ; z>=0
applying simplex method (see attachment);
z=1900 ; x=0; y=0; P=41,800 ; s₁=0 ; s₂=1200
b. The manufacturer are to make 1,900 mountain bicycles, 0 racing bicycles and 0 touring bicycles to maximize profit
c. Maximum profit is $41,800
d. no steel is leftover while 1,200 units of aluminium is left over.
Answer:
Maximum possible error volume
Maximum possible error surface
Relative error volume
0.04
Relative error surface
0.0266
% error volume
4%
% error surface
2.66%
Step-by-step explanation:
Let's call x the length of the edge of the cube, V its volume and S its surface.
We have x= 30 cm with a possible error of 0.4 cm
On the other hand,
and
Taking differentials
and
So, the error when estimating the volume and surface, dV, dS are
and
Where x = 30cm and dx=0.4cm
Replacing
The relatives errors are
The percentage errors are relative errors times 100%