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3 years ago

Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).

1 answer:

5 0

Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation

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Hitman42 [59]

Answer:

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Step-by-step explanation:

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2 years ago

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

66.48% of full-term babies are between 19 and 21 inches long at birth

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2 years ago

Which inequality is true? 8/5 <9/10 1>6/5 5/2<2 1/2 8/4<5/2

AleksandrR [38]

Answer:

the last one : 8/4 < 5/2

Step-by-step explanation:

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3 years ago

A total of 504tickets were sold for the school play. They were either adult tickets or student tickets. There were 54more studen

LuckyWell [14K]

Answer:

225 adult tickets

Step-by-step explanation:

S: no. of students

A: no. of adults

S = A + 54

S + A = 504

A + A + 54 = 504

2A = 450

A = 225

S = 225 + 54

S = 279

3 0

3 years ago

Acertijo.

Cerrena [4.2K]

La edad de cada uno de los integrantes del acertijo es:

Luisa = 3 años 
Juan = 6 años 
Carmen = 8 años

Cálculo por medio de ecuaciones y el método de igualación.

Haciendo uso de la información brindada en el ejercicio, se procede a formular variables con las cuales se calcularán las ecuaciones, por lo tanto:

X = Edad de Luisa
Y = Edad de Juan
Z = Edad de Carmen

Con el enunciado: "Luisa es 3 años más joven que su hermano Juan" se crea la primera ecuación:

1. Y = X + 3

Con el enunciado: "Su hermana Carmen es 2 años mayor que Juan", se crea la segunda ecuación:

2. Z = Y + 2

Y con el enunciado: "Juan tiene el doble de edad que Luisa", se crea la tercera ecuación:

3. X = $\frac{Y}{2}$

Ahora, utilizando el método de igualación, se reemplaza la tercera ecuación en la primera:

Y = X + 3
Y = ( $\frac{Y}{2}$ ) + 3

Y se procede a sumar:

Y = ( $\frac{Y}{2}$ ) + 3
Y = $\frac{Y+6}{2}$

El dividendo se pasa al otro lado de la igualdad a multiplicar:

2Y = Y + 6

Y la variable "Y" que está sumando, se pasa al otro lado de la igualdad a restar:

2Y - Y = 6
Y = 6

Con el valor de Y (edad de Juan) se calcula X con la tercera ecuación:

X = $\frac{Y}{2}$
X = $\frac{6}{2}$
X = 3

Una vez calculado el valor de X (edad de Luisa), se procede a calcular el valor de Z con la segunda ecuación:

Z = Y + 2
Z = 6 + 2
Z = 8

Por lo tanto, se calcula que la edad de Luisa es 3 años, la edad de Juan es 6 años y la edad de Carmen es 8 años.

Más información sobre ecuaciones:

brainly.com/question/15415929?referrer=searchResults

8 0

2 years ago