Answer:b
Step-by-step explanation:
Answer:
The original piece of wood is 108 cm
Step-by-step explanation:
From the given ratio, the shortest is of the ratio 5 and the longest is of the ratio 7
Let the original piece of wood be x
so the sum of the ratios will be;
5 + 6 + 6 + 7 = 24
the shortest length would be 5/24 * x
= 5x/24
the longest will be 7/24 * x = 7x/24
From the question;
7x/24 -5x/24 = 9
(7x-5x) = 24(9)
2x = 24(9)
x = (24 * 9)/2
x = 108 cm
Answer:
(-21)/20
Step-by-step explanation:
Simplify the following:
-(2 + 1/4) - 2/3 (1/5 - 2)
Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:
-(4×2)/4 + 1/4 - 2/3 (1/5 - 2)
4×2 = 8:
-(8/4 + 1/4) - 2/3 (1/5 - 2)
8/4 + 1/4 = (8 + 1)/4:
-(8 + 1)/4 - 2/3 (1/5 - 2)
8 + 1 = 9:
-9/4 - 2/3 (1/5 - 2)
Put -2 + 1/5 over the common denominator 5. -2 + 1/5 = (5 (-2))/5 + 1/5:
-9/4 - 2/3 1/5 + (5 (-2))/5
5 (-2) = -10:
-9/4 - 2/3 ((-10)/5 + 1/5)
-10/5 + 1/5 = (-10 + 1)/5:
-9/4 - 2/3 (1 - 10)/5
-10 + 1 = -9:
-9/4 - 2/3×(-9)/5
-2 (-9) = 18:
(-9)/4 + 18/(3×5)
3×5 = 15:
(-9)/4 + 18/15
The gcd of 18 and 15 is 3, so 18/15 = (3×6)/(3×5) = 3/3×6/5 = 6/5:
(-9)/4 + 6/5
Put (-9)/4 + 6/5 over the common denominator 20. (-9)/4 + 6/5 = (5 (-9))/20 + (4×6)/20:
(5 (-9))/20 + (4×6)/20
5 (-9) = -45:
(-45)/20 + (4×6)/20
4×6 = 24:
(-45)/20 + 24/20
-45/20 + 24/20 = (-45 + 24)/20:
(-45 + 24)/20
-45 + 24 = -21:
Answer: (-21)/20
Answer:
0 is the real part
or there is no real part
Step-by-step explanation:
Complex numbers are written in the form
a+bi
a is the real part and
b is the imaginary part
Answer:
sigma should be used
Step-by-step explanation:
Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.
The above given is for sample of 27 size.
For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.
But once population std deviation is given, we use only that as that would be more reliable.
So here we can use population std deviation 1.4 only.
If population std deviation is used we can use normality and do Z test
