From the given series:
<span>15/100,3/10,45/100,6/10,75/100
The common difference=3/10-15/100=3/20
Th e first term 15/100
thus the series is an arithmetic series which follows a general explicit formula of:
an=a+(n-1)d
thus plugging in our values,we obtain explicit formula for the series as:
an=15/100+(n-1)3/20
an=3/20n
Thus the answer is: 3/20n</span>
Equation of a tangent line of a curve is:
y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1
f´(x)=

(Derivation)
f´(x0)=

y - 1 = 1/2 ( x - 1 )
y - 1 = 1/2 x - 1/2
y = 1/2 x - 1/2 + 1
y =
Answer:
|96.55−0.02|= x
|96.55+0.02|=x
Step-by-step explanation:
Given that:
Measured length of beam = 96.55 cm
Measurement accuracy = plus or minus (± 0.02cm)
Limits of actual length of the beam:
Let limit of actual length = x
Lower limit :
|measured length - accuracy| = x
|96.55 - 0.02| = x
96.53) x
Upper limit :
|measured length + accuracy| = x
|96.55 + 0.02| = x
96.57 = x
Answer:
The solution in the attached figure
Step-by-step explanation:
we have

we know that
The solution of the inequality is the shaded area below the dashed line of the parabola
The equation of the dashed line is the vertical parabola 
therefore
The solution in the attached figure
Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.
I'll take a stab at this one. if the number of dice showing a two-digit number = the number of dice showing a one-digit number, then 2 must show a two-digit number and 2 must show a one-digit number
There are 3 two-digit numbers and 9 one-digit numbers on each die
So....the probability is
C(4,2) (3/12)^2 (9/12)^2 =
C(4,2) (1/4)^2 (3/4)^2 =
27/128.
Learn more about probability at
brainly.com/question/25870256
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