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zaharov [31]
2 years ago
15

At its highest​ point, the elevation of a county is 5,764 feet above sea level. At its lowest​ point, the elevation of the count

y is 7 feet below sea level. Answer parts a through c. a. Write an expression using integers to represent the difference between the elevations.
Mathematics
1 answer:
Feliz [49]2 years ago
8 0

Answer:

Difference = 5757\ feet

Step-by-step explanation:

Given

Highest\ Point = 5764\ feet

Lowest\ Point = 7\ feet

Required

Determine the difference between the points

The difference is calculated as follows:

Difference = Highest - Lowest

Difference = 5764\ feet - 7\ feet

Difference = 5757\ feet

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In a random sample of 8 people with advanced degrees in biology, the mean monthly income was $4744 and the standard deviation wa
eimsori [14]

Answer: u= ( 4342.08, 5145.92).

Step-by-step explanation: the population mean is estimated using the sample by the formulae assuming a 95% confidence level

u = x' + Zα/2 * (√σ/n) or x' - Zα/2 * (√σ/n)

u = estimated population mean

x' = sample mean = 4744

n = sample size =8

σ = sample standard deviation. = 580

α = level of significance = 1- confidence level = 1-0.95= 0.05

Zα/2 = z score from the normal distribution table for a 2 tailed test = 1.96

First boundary value for interval

u = 4744 + 1.96 ( 580/√8)

u = 4744 + 1.96 * (205.0609)

u = 4744 + 401.92

u = 5145.92

Second boundary value for interval

u = 4744 - 1.96 ( 580/√8)

u = 4744 - 1.96 * (205.0609)

u = 4744 - 401.92

u = 4342.08

Thus the confidence interval for population mean is

u= ( 4342.08, 5145.92).

3 0
2 years ago
Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta cor
s2008m [1.1K]

Complete question:

Para ingresar a la Universidad del Chocó se aplica una prueba de razonamiento que consta de 30 preguntas. Por cada respuesta correcta se asignan 5 puntos y por cada incorrecta (o no contestada) se restan 2 puntos. Si un participante obtuvo un puntaje de 94 puntos, ¿cuantas preguntas respondió bien?

Responder:

número de respuestas correctas = 22

Explicación paso a paso:

Dado lo siguiente:

Número total de preguntas = 30

Deje respuestas correctas = y; Respuestas incorrectas = n

Marca otorgada por y = 5

Marca deducida por n = 2

Si el total de preguntas = 30; luego

y + n = 30 - - - - (1)

Puntuación total obtenida = 94; luego

5y - 2n = 94 - - - (2)

De 1),

y + n = 30

y = 30 - n

Sustituya y = 30 - n en equ (2)

5 (30 - n) - 2n = 94

150 - 5n - 2n = 94

150 - 7n = 94

-7n = 94-150

-7n = - 56

n = 56/7

n = 8

Sustituir n = 8 en (1)

y + n = 30

y + 8 = 30

y = 30 - 8

y = 22

y = número de respuestas correctas = 22

n = número de respuestas incorrectas = 8

3 0
2 years ago
The parent function f(x) = x3 is represented by graph A. Graph A is transformed to get graph B and graph C. Write the functions
Alekssandra [29.7K]
Graph B represents the function g(x)=x^3-2 Graph C represents the function h(x)=2x^3
4 0
2 years ago
Read 2 more answers
The gravitational force between Pluto and Charon is 3.61 × 1018 N. Pluto has a mass of 1.3 × 1022 kg, which is only slightly gre
Alinara [238K]
Gravitational force:
F = G * m1 * m2 / r²
And gravitational constant: G = 6.67 * 10^(-11) m³/kgs²
Therefore:
r = sqrt ( G * m1 * m2 / F ) =
= sqrt ( 6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N ) =
= sqrt ( 3.84 * 10^(14) ) = 1.96 * 10^(7) m ≈ 2 * 10^(7) m
Answer:
A ) 2.0 * 10^(7) m 
8 0
2 years ago
If f(x)=13x3−4x2+12x−5 and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f oc
Fittoniya [83]

The correct format of the question is

If f(x)= \frac{1}{3}x^3 -4x^2+12x -5 and the domain is the set of all x such that 0≤x≤9 , then the absolute maximum value of the function f occurs when x is

Answer:

The absolute maximum value of the function F(x) occurs when x is 9

Step-by-step explanation:

F'(x) = x^2 -8x +12= 0

      = (x-6)(x-2) = 0

      x = 2,6

so we have boundary points 0 , 9 and 2,6

The value of function at these four points

  x =     0    2       6     9

F(x) =  -5    17/3   -5     22

So the absolute maximum value of the given function is x = 9 and F(x) is 22.

8 0
2 years ago
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