State 5.126 to two decimal places

Mathematics

1 answer:

Kryger [21]2 years ago

7 0

Answer:

5.13

Step-by-step explanation:

Look at the number at the end, and if it's 5 or more, round up. the 6 is greater than or equal to 5, so you round up, dropping the six and making the 2 into a 3, giving you 5.13.

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Find the area of the circle and the sector.

Georgia [21]

Area of a circle is PI x r^2:

Area of circle = 3.14 x 13^2 = 530.66 square meters.

To find the area of the sector multiply the area of the circle by the fraction of the sector

Area of sector = 530.66 x 150/360 = 221.108 square meters ( Round the answer as needed).

6 0

3 years ago

The picture shows a feeding trough that is shaped like a right prism.

ollegr [7]

A)We have been given →

Hieght of trough = 5m

length of trough = 6m

Breadth of trough = 4m

so , As the top is opened for feeding animals.

Area of base = length× Breadth

= (6×4) m²
= 24 m²

Area of Front and back face = Hieght × length

= (5×6) m²
= 30m²

Area of side faces = hieght × Breadth

= (5×4) m²
= 20 m²
____________________________________

B)Total Surface area of trough will be given by formula - 2(lb+bh+hl)

= 2{(6×4)+(4×5)+(5×6)}

= 2{24+20+30}

= 2×74

= 148 m²

As we have been told top is open , so we will deduct top from Total surface Area to obtain Surface area →

(148-24) m²

(Area of top will be same as base area , that is 24m² as we have solved in A)

= 124m²

Answer→ Surface area of trough is 124m²
___________________________________

5 0

3 years ago

A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa

UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$