Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 28 lb and b = 12 lb. Round y

Answer:

Option C: 0.28

Detailed explanation:

This situation presents a binomial probability distribution.

We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Referring to the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Consequently;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

Cost function: Revenue function: Profit function: Dozens required for a specific profit P. If 150 dozen cookies are sold, the profit is negative, resulting in a loss of $322. Step-by-step explanation: We can enumerate the costs as follows: - Fixed monthly cost of $790. - Variable costs of $0.24 per cookie, equating to (12*0.24) = $2.88 per dozen. We can then construct the cost function C(x) considering C(x) represents the monthly cost and x denotes the number of dozens produced each month. Revenue can be calculated as the price ($6 per dozen) multiplied by the quantity sold, x. The profit is calculated by subtracting the total cost C(x) from the revenue R(x). The required number of dozens for a monthly profit can be derived from the preceding equation for P(x). To achieve a monthly profit P, a certain number of dozens must be sold. When selling 150 dozen cookies, the profit recorded is negative, indicating a loss of $322.

Answer:

a. A relative-frequency distribution relates to a variable just as a _____probability_____ distribution relates to a random variable. b. A relative-frequency histogram pertains to a variable similarly to how a _____probability_____ histogram pertains to a random variable.

Step-by-step explanation:

Probability, a mathematical concept, involves numerical assessments of how likely a certain event may occur, indicating the validity of its occurrence. The range for the probability of any event is typically between 0 and 1,

with 0 signifying impossibility and 1 indicating certainty of occurrence.

M∠ rst + m∠ vst = 180°
3 x + 7° + 9 x + 17° = 180°
12 x + 24° = 180°
12 x = 180° - 24°
12 x = 156°
x = 156°: 12
x = 13°
m ∠ rst = 3 · 13° + 7° = 39° + 7° = 46°
m ∠ vst = 180° - 46° = 134°
Answer:
A ) 46° and 134°

The table is included below

Based on the table, we can observe that the cost of lemons contributes to 35% of the expenses.

Let x represent the expenses; hence, the lemon cost is 70.

The lemon cost is 35% of x.

So, 70 = 35% of x (where 35% = = 0.35).

Thus, 70 = 0.35 * x.

Solving that gives us x =

x = 200, meaning the expense is $200.

Given that the profit margin is 15% = = 0.15,

we calculate profit as the product of the profit percentage and expenses.

Profit equals 0.15 * 200 = 30.

Therefore, the profit amounts to $30