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the scale from a square park to a drawing of the park is 5 m to 1 cm the actual park has an area of 1,600 m² what is the area of

ludmilkaskok [199]

Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park

solution:

drawing scale is 5m : 1cm

1,600 m² = 5² m²

x 1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x = 1600 m²

5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

5 0

3 years ago

to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a

Elis [28]

The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t

Given that,

The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.

The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)

The given interval is (0,1)

Here a =0;

b=1;

Now substitute the values of a and b in the above moment generating function we get,

y=eⁿᵇ - eⁿᵃ / n(b-a)

y=e^1-e^0/t(1-0)

y= e-1/t

Therefore, the derivation of the moment generating function is e-1/t

Learn more about moment-generating function here:

brainly.com/question/15061360

#SPJ4

6 0

1 year ago

Which equation can be solved using only natural numbers

Ad libitum [116K]

Answer:

C

Step-by-step explanation:

Natural numbers are numbers which are positive whole numbers greater than 0. This includes 1, 2, 3, ...etc.

To determine, solve each equation.

A. x=0

B. x = 1/3

C. x=3

D. x=-4, 4

Only C is a natural number.

4 0

3 years ago

The large sphere has a diameter of 12 feet. A large sphere has a diameter of 12 feet. A smaller sphere with a radius of 3 feet i

IrinaVladis [17]

Answer:

The volume of the shaded figure is 252π feet³ ⇒ 1st answer

Step-by-step explanation:

* Lets revise how to find the volume of the sphere

- The volume of any sphere is $\frac{4}{3}\pi r^{3}$ , where

r is the radius of the sphere

- There is a large sphere of diameter 12 feet

- The diameter of the sphere is twice its radius

∵ The length of the diameter is 12 feet

∴ The length of the radius = $\frac{1}{2}*12=6$ feet

- There is a smaller sphere with a radius of 3 feet

- The smaller sphere is cut out of the center of the larger sphere

- The volume of the shaded part is the difference between the 

 volumes of the larger sphere and the smaller sphere

* Lets find the volume of each sphere

- The volume of the larger sphere:

V larger = $\frac{4}{3}\pi (6)^{3}$ = 288π feet³

- The volume of the smaller sphere:

V smaller = $\frac{4}{3}\pi (3)^{3}$ = 36π feet³

∴ The volume of the shaded figure = 288π - 36π = 252π feet³

* The volume of the shaded figure is 252π feet³

3 0

3 years ago

Read 2 more answers

Evaluate (3x+8) - (2x+7) when x=3.11418

olga55 [171]

Make me as BRAINLIEST plz

3 0

3 years ago

Read 2 more answers