Answer:
y=131°
x=53°
Step-by-step explanation:
∠ ABD and ∠ BDC are supplementary.
The sum of the supplementary angles =180 °
thus y-4+x=180...........i
x and 37° are complementary, that is, they add up to 90°
Thus, x=90-37=53°
Using this value in equation 1 we obtain:
y-4°+53° =180°
y= 180°-53°+4°
y=131°
Answer:
Step-by-step explanation:
A combination rule is used to determined the correct number of permutations while a permutation rule is an ordered combination.
A combination is a selection of all or part of a set of objects, without regard to the order in which they were selected. While permutation state that anything permute itself is equivalent to itself. Example (3)3=3!
Step-by-step explanation:
do 425÷5 and you will get your answer
Answer:
the 95% confidence interval to estimate the population mean is between 1.62 and 6.50
Step-by-step explanation:
given data
distribution = 4.5, 6.4, 2.3, 1.8, 5.3
so n = 5
confidence interval = 95%
to find out
the population mean is between
solution
first we calculate the mean i.e.
mean =
mean = 4.5+ 6.4+ 2.3+ 1.8+ 5.3 / 5
mean = 4.06
now we calculate the standard deviation i.e.
standard deviation = 
standard deviation = 
standard deviation = 
standard deviation = 
standard deviation = 2.226544
so 95 % confidence interval is i.e. mean +/- t(5) * standard deviation/ 
here t(5) will be 2.45
so
95 % confidence interval= 4.06 +/- 2.45 * 2.226 / 
95 % confidence interval= 1.62 and 6.50