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3 years ago

The missing number in the series 1,4,27,__,3125 is:

Mathematics

1 answer:

sveta [45]3 years ago

5 0

Answer:

D ) 256

Step-by-step explanation:

The given sequence is 1,4,27, ---, 3125

This is sequence of given problem

$1^{2},2^{2} ,3^{3} ,4^{4} ,5^{5}$

so here missing is '4' term is

The fourth term is 256.

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dusya [7]

Answer:

Radius = 5

center is (19,-1)

$(x-19)^2(y+1)^2= 25$

Step-by-step explanation:

Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.

Distance between the points is calculated using formula

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(19-19\right)^2+\left(-6-4\right)^2}=10$

diameter = 10

radius = diameter divide by 2

Radius = 5

midpoint is the center of the circle

$\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(\frac{19+19}{2},\:\frac{-6+4}{2}\right)$

(19,-1)

Equation of the circle

$(x-h)^2(y-k)^2= r^2$

h,k is the center and r is the radius

h=19 and k=-1 , r=5

$(x-19)^2(y+1)^2= 25$

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Answer:

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Step-by-step explanation:

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Edward had 100 newspapers to deliver on his paper route. He had already delivered 25

kati45 [8]

Answer:

50 newspapers

Step-by-step explanation:

100 (total amount of newspapers) - 25 (amount Edward already sold) = 75 (amount of newspapers left)

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There are two newborns, Gary and Eric. The future lifetime of Gary is uniformly distributed between 0 to 60 years. The future li

scoray [572]

Answer:

$\text{The probability that Gary dies first = }\frac{1}{3}$

Step-by-step explanation:

To find the required probability,

We can split the 40 years of Eric into very small pieces of time dt. Now, If Eric dies at time t and Gary dies before Eric, the probability is :

$\frac{t}{60}\times \frac{dt}{40}=\frac{t\cdot dt}{2400}$

Hence the probability that Gary dies first is given by :

$=\int_{0}^{40}\frac{t}{2400}dt \\\\= \frac{1}{3}$

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