Answer:
One of the sides is 6 cm and the other is 8 cm
Step-by-step explanation:
Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:
a + b + hypotenuse = 24
a + b + 10 = 24
a + b = 14
b = 14 - a
So now we can right the Pythagorean theorem as follows:
and from this expression in factor form to be zero a must be 6 or a must be 8.
Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)
or a = 8 (and therefore b = 14 - 8 = 6)
Answer:
4c^2+7c-5=0
4c^2+7c=5
4c^2+7c=5
4c^2+7c-5=0\quad :\quad c=\frac{-7+\sqrt{129}}{8},\:c=\frac{-7-\sqrt{129}}{8}\quad \left(\mathrm{Decimal}:\quad c=0.54472\dots ,\:c=-2.29472\dots \right)
Hope This Helps!!!
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
Answer:
The updated IQR is 14.54.
Step-by-step explanation:
The interquartile range is given by the difference between the 75th percentile(value that is greater than 75% of the measures) and the 25th percentile.
This means that each piece of wood is actually 5 inches shorter than the value recorded by the employee.
This means that the length of each wood is less than 5. However, the difference between the 75th percentile and the 25th percentile will stay the same, since both were subtracted by 5.
The updated IQR is 14.54.
Answer: 8.8
Step-by-step explanation:
Because 
by the reflexive property, we know that 
by AA.
So, by the triangle proportionality theorem,
