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2 years ago

∠A and ∠B are supplementary such that

Mathematics

1 answer:

lutik1710 [3]2 years ago

6 0

Answer:

The equation is;

(2x-2) + (4x + 2) = 180

x = 30

m∠A = 58

Step-by-step explanation:

Mathematically, when two angles are supplementary, the values of both angles add up to be 180

From

what we have here;

(2x -2) + (4x + 2) = 180

2x -2 + 4x + 2 = 180

6x = 180

x = 180/6

x = 30

Recall;

The measure of angle A is as follows;

2x -2 = 2(30) - 2 = 60-2 = 58

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Al precio de p dólares por unidad, se venden x unidades de cierto artículo al mes en el mercado con p=50-0.5x ¿Cuántas unidades

Ray Of Light [21]

Answer:

Se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

Step-by-step explanation:

De acuerdo con el enunciado, $x$ es la cantidad mínima de artículos a un precio de $p$ . Además, los ingresos totales deben ser de un mínimo de 1200. En consecuencia, tenemos el siguiente sistema de ecuaciones:

$x \cdot p = 1200$ (1)

$p = 50-0.5\cdot x$ (2)

Aplicando (2) en (1), tenemos la siguiente ecuación polinómica:

$x\cdot (50-0.5\cdot x) = 1200$

$50\cdot x -0.5\cdot x^{2} = 1200$

$0.5\cdot x^{2}-50\cdot x +1200 = 0$ (3)

Por la Fórmula de la Cuadrática tenemos las raíces del polinomio:

$x_{1} = 60$ , $x_{2} = 40$

De acuerdo con el resultado anterior, se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.

3 0

2 years ago

3600 dollars is placed in an account with an annual interest rate of 9%. How much will be in the account after 25 years, to the

Naddika [18.5K]

Answer:

I=PRT is the formula

Step-by-step explanation:

$3600 is the Principal. 9% is the interest rate. 25 years is the Time.

This is all I can help you with. Hope you get it write and good luck.

5 0

2 years ago

Investing is a game of chance. Suppose there is a 36% chance that a risky stock investment will end up in a total loss of your i

Sergio039 [100]

Answer: P(x ≥ 1) = 0.893

Step-by-step explanation:

We would assume a binomial distribution for the outcome of the investment. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36% = 36/100 = 0.36

q = 1 - p = 1 - 0.36

q = 0.64

n = 5

Therefore,

P(x ≥ 1) = 1 - P(x = 0)

P(x = 0) = 5C0 × 0.36^0 × 0.64^(5 - 0)

P(x = 0) = 1 × 1 × 0.107

P(x = 0) = 0.107

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3 0

2 years ago

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$