There is no domain so no solution in this case
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016
Answer:
x = -76 , y = 57
Step-by-step explanation:
5x - 6y = -38
3x + 4y = 0
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use 4 to multiply equation 1
5x(4) - 6y(4) = - 38(4)
20x -24y = -152
----------------------
use 6 to multiply equation 2
3x(6) + 4y(6) = 0(6)
18x + 24y = 0
------------------------
20x - 24y = -152
18x + 24y = 0
----------------------
2x = -152
----------------
divide 2 by both sides
x = -76
--------------------
to find y, slot in the of x to either equation 1 or 2
--------------------------------
equation 2
3x + 4y = 0
3(-76) + 4y = 0
------------------------
-228 + 4y = 0
4y = 228 - 0
4y = 228
---------------------
divide both sides by 4
----------------------------------
y = 57
for this type of question, you can use
- substitution method
- elimination method
- graphical method
i used substitution method
hope it helps
Answer:
The student made a mistake in step 4
The length of the radius should be 6 cm
Step-by-step explanation:
Let us write each step to find the radius of a circle from its circumference
Step 1:
∵ C = 2πr
∵ C = 12π
Step 2:
Equate 12π by 2πr
∴ 12π = 2πr
Step 3:
Divide both sides by 2π
∵ 
Step 4:
∴ 6 = r
∴ The radius of the circle is 6 cm
The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r
Step 4:
∴ 6 = πr
So he divided both sides again by π
Step 5:
∵ 
Step 7:
∴ 
= r
The student made a mistake in step 4
The length of the radius should be 6 cm
Answer:
Step-by-step explanation:
