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2 years ago

Force: F = MA; Solve for m.

Mathematics

2 answers:

Ksivusya [100]2 years ago

4 0

$\longrightarrow{\blue{ m = \frac{F}{a} }}$

$\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}$

F = ma

➺ m = $\frac{F}{a}$

where,

F = Force

m = mass

a = acceleration

"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.

The SI unit of force is newton, symbol N.

$\bold{ \green{ \star{ \orange{Mystique35}}}}⋆$

Paladinen [302]2 years ago

3 0

mass = force / area

this is second law of motion ( Newton's 2nd law)

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Answer the question please.

Mariulka [41]

8/5x = 1

1.6x = 1

Work:

Add 7/3x and 1/3x to make 8/3x. Equation: 8/3x = 1 + 5/3x

Divide 8/3x by 5/3x, looks like 8 over 3 times 3 over 5. 3s cancel each other out, leaving 8/5x. Equation: 8/5x = 1

If needed to be simplified, 8/5 = 1.6.

6 0

3 years ago

Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving

lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

$P(x=0) = ^nC_x P^x (1-P)^n^-^x$

$P(x=0) = ^5C_0 (0.4)^0 (1-0.4)^5^-^0$

$P(x=0) = ^5C_0 (0.4)^0 (0.60)^5$

$P(x=0) = 0.778$

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

$= 1 - P(X = 0)$

$= 1 - ^5C_0 (0.4)^0 * (0.6)^5$

$= 1 - 0.0778$

$= 0.9222$

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

$^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 (0.4)^2 (0.6)^3$

$= 0.6826$

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

$= 1 - [^5C_0 (0.4)^0 (0.6)^5 + ^5C_1 (0.4)^1 (0.6)^4 + ^5C_2 * (0.4)^2 (0.6)^3]$

$= 1 - 0.6826$

$= 0.3174$

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0

2 years ago

A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then

Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

tan ( θ ) = H / B

B = H / tan ( θ )

B = 235 / tan ( 21 )

B = 612.2 ft

4 0

2 years ago

Read 2 more answers

Find two positive numbers if their ratio is 8:5 and the difference is 150.

natima [27]

Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

y = 250

If y = 250, then x is:

x = 8(250)/5 = 400

The answer is 250 and 400.

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3 years ago

What is the area of the wall that will be painted

svp [43]

Answer:

B. 104

Step-by-step explanation:

Just find the area of the wall and subtract the area of the window. The area of the wall is 10 times 11 which is 110. The area of the window is 2 times 3 which is 6. 110 minus 6 is 104.

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2 years ago