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Inessa05 [86]
3 years ago
12

Find the slope of the line that passes through the ordered pairs (-2,8) and (-9,19)

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
6 0

Answer:

slope: -11/7

Step-by-step explanation:

Slope is equal to the change in yy over the change in xx, or rise over run.

m=change in ychange in xm=change in ychange in x

The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1m=y2-y1x2-x1

Substitute in the values of xx and yy into the equation to find the slope.

m=19−(8)−9−(−2)m=19-(8)-9-(-2)

Simplify.

m=−11/7

torisob [31]3 years ago
3 0

Answer:

m=-1\frac{4}{7}

Step-by-step explanation:

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-2,\:8\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:19\right)\\\\m=\frac{19-8}{-9-\left(-2\right)}\\\\m=\frac{11}{-9+2}\\\\m=\frac{11}{-7}  \\\\m=-\frac{11}{7}\\\\m=-1\frac{4}{7}

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Pick the expression that matches this description:
inysia [295]

Answer: Choice D,  -5x^3 + 8

A binomial consists of two terms being added or subtracted. The two terms are -5x^3 and 8. The term -5x^3 has a leading coefficient -5 and exponent 3. The largest exponent determines the degree of the polynomial. The 8 is constant as there are no variables attached or multiplying with it.

4 0
3 years ago
a bakery sells packages of 10 bagels for $3.69 it's a bakery start selling the bagels in packages of 12 how much would you expec
Sophie [7]
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3 years ago
At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .56. a. Find the pr
Sergio [31]

Answer:

a. 0.0000

b. 0.9949

c. 0.0212

d. 1.0000

Step-by-step explanation:

a. This is a binomial probability distribution problem of the form:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

#Given n=15, p=0.56, the probability of none will order a non-alcoholic drink:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\\\P(X=0)={15\choose 0}0.56^0(1-0.56)^{15}\\\\\\=0.0000045

\approx 0.0000

Hence, the probability that none will order a non-alcoholic drink is 0.0000

b. The probability that at least 4 will order a non-alcoholic drink is:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq  4)=1-P(X

Hence, the probability of at least 4 non-alcoholic orders is 0.9949

c. The Probability that fewer than 5 orders will be made is calculated as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X

Hence, the probability of less than 5 orders is 0.0212

d. The probability of all orders being non-alcoholic is equivalent to 1  minus no order being non-alcoholic.

-From a above, the probability of zero non-alcoholic order is , P(X=0)=0000045

-Therefore:

P(All)=1-P(none)\\\\=1-0.0000045\\\\=0.999996

\approx 1.0000

Hence, the probability that all orders are non-alcoholic 1.0000

8 0
3 years ago
Work out the mean of √50, √18 and √8.
Sergeu [11.5K]

\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}

ok done. Thank to me :>

8 0
2 years ago
El contratista encargado de construir el
andrezito [222]

El perímetro del lote tiene una medida de 130 · p - 12 unidades.

<h3>¿Cuál es la longitud del cerco perimetral para un lote?</h3>

El perímetro es la suma de las longitudes de los lados de una figura, un rectángulo tiene cuatro lados, dos pares de lados iguales. En consecuencia, el perímetro del lote es el siguiente:

s = 2 · w + 2 · l

Donde:

  • w - Ancho del lote.
  • l - Largo del lote.
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Si sabemos que w = 25 · p - 8 y l = 40 · p + 2, entonces el perímetro del lote es:

s = 2 · (25 · p - 8) + 2 · (40 · p + 2)

s = 50 · p - 16 + 80 · p + 4

s = 130 · p - 12

El perímetro tiene una medida de 130 · p - 12 unidades.

<h3>Observación</h3>

No se ha podido encontrar una figura o imagen asociada al enunciado del problema. Sin embargo, se puede inferir que el lote tiene una forma rectangular debido a las medidas utilizadas. En consecuencia, asumimos que la medida del ancho es igual a 25 · p - 8 unidades y del largo es igual a 40 · p + 2 unidades.

Para aprender más sobre perímetros: brainly.com/question/17127243

#SPJ1

7 0
1 year ago
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