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2 years ago

HELP IN ONE HOUR AND I GIVE U THE BRIANLIEST

Mathematics

2 answers:

Sati [7]2 years ago

5 0

Calculate the area of the floor:

Area = 1.6 x 2.3 = 3.68 square meters

Using the given formula: Pressure = force/area

200 = force / 3.68

Solve for force by multiplying both sides by 3.68

Force = 200 x 3.68

Force = 736 N/m^2

Correct to the nearest 5N/m^2 = 735 N/m^2

kicyunya [14]2 years ago

4 0

First of all we need to calculate the area of the floor and then we will find the pressure using the formula for pressure...

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

Area of floor ↯

Length = 1.6 meter
Breadth = 2.3 meter

$\sf \: area = length \times breadth$

$\sf \: area = 1.6 \times 2.3$

$\sf \: area = 3.68 \: {m}^{2}$

$\purple{ \rule{300pt}{3pt}}$

Finding force ↯

Pressure = 200 N/m²
Area = 3.68 m²

$\tt \: pressure = \frac{force}{area}$

$\tt \: 200 = \frac{force}{3.68}$

$\tt \: force = 200 \times 3.68$

$\tt \: force = 736 \: newton$

Thus, The maximum force is 736 Newton...~

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Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 < Y ≤ k) = 0.1546. (Round your answer

IgorLugansk [536]

Transform Y to Z, which is distributed N(0, 1), using the formula

Y = µ + σZ

where µ = -16 and σ = 1.21.

Pr[-15.043 < Y ≤ k] = 0.1546

Pr[(-15.043 + 16)/1.21 < (Y + 16)/1.21 ≤ (k + 16)/1.21] = 0.1546

Pr[0.791 < Z ≤ (k + 16)/1.21] ≈ 0.1546

Pr[Z ≤ (k + 16)/1.21] - Pr[Z < 0.791] = 0.1546

Pr[Z ≤ (k + 16)/1.21] = 0.1546 + Pr[Z < 0.791]

Pr[Z ≤ (k + 16)/1.21] ≈ 0.1546 + 0.786

Pr[Z ≤ (k + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (Φ(x) denotes the CDF itself):

(k + 16)/1.21 ≈ Φ⁻¹ (0.940) ≈ 1.556

Solve for k :

k + 16 = 1.21 • 1.556

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