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Fittoniya [83]
3 years ago
12

2x-3=21+10x..how do I solve this.

Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0
2x - 3 = 21 + 10x
2x - 10x = 21 + 3
        -8x = 24
           x = 24/-8
           x = -3

hope this helps :)

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6 0
3 years ago
Qué medida de tendencia central (llamada a menudo promedio) es la más sensible a valores extremos?
docker41 [41]

Respuesta:

Significar

Explicación paso a paso:

Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.

Dados los datos:

2,4, 5, 2, 3, 3, 3, 5

La media = Σx / N = 2.3

Modo = 3

Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3

Si se agrega un valor extremo: digamos 80

2, 2, 3, 3, 3, 4, 5, 5, 2, 80

Nueva media = Σx / N = 11,88

Mediana = 1/2 (n + 1) th término

Mediana = 1/2 (10) término = 3

Modo = 3

Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.

7 0
3 years ago
What is 1568 divided by 23 in fraction form?
ArbitrLikvidat [17]
1568/23 = 68 4/23 <====
3 0
3 years ago
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypo
777dan777 [17]

Answer:

The null hypothesis will be rejected

Step-by-step explanation:

The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61

The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61

Proportion of population = 0.61

Total events = 360

Sample size = 554

Sample proportion = 360/554 = 0.649

As per test statistics –  

Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}

= 0.039/0.021

= 1.857

P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336

So alpha value is 0.064.  

Thus, we will reject the null hypothesis  

7 0
3 years ago
A real estate agent has 17 properties that she shows. She feels that there is a 40% chance of selling any one property during a
blsea [12.9K]

Answer:

0.126 = 12.6% probability of selling less than 5 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution 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}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that n = 17

She feels that there is a 40% chance of selling any one property during a week.

This means that p = 0.4

Compute the probability of selling less than 5 properties in one week.

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 0) = C_{17,0}.(0.4)^{0}.(0.6)^{17} = 0.0002

P(X = 1) = C_{17,1}.(0.4)^{1}.(0.6)^{16} = 0.0019

P(X = 2) = C_{17,2}.(0.4)^{2}.(0.6)^{15} = 0.0102

P(X = 3) = C_{17,3}.(0.4)^{3}.(0.6)^{14} = 0.0341

P(X = 4) = C_{17,4}.(0.4)^{4}.(0.6)^{13} = 0.0796

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0019 + 0.0102 + 0.0341 + 0.0796 = 0.126

0.126 = 12.6% probability of selling less than 5 properties in one week.

5 0
4 years ago
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