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3 years ago

10

Al oeste de Albuquerque, Nuevo México, la carretera 40 con rumbo al este es recta y tiene una fuerte pendiente hacia la ciudad.

La carretera tiene una rasante del 6%, lo cual quiere decir que su pendiente es -100 Al manejar por esta carretera usted puede ver por los señalamientos que ha bajado 1000 pies. ¿Cuál es el cambio en la distancia horizontal?

1 answer:

alexgriva [62]3 years ago

3 0

Usando el concepto de pendiente, se encuentra que el cambio en la distancia horizontal es de 10 pies.

La pendiente de una reta es la <u>razón entre el cambio vertical y el cambio horizontal,</u> o sea, cual el cambio vertical cuando el cambio horizontal es de 1.

En este problema, hay que:

La pendiente es -100, o sea, cuando hay un desplazamiento de un pie por adelante, hay una queda de 100 pies.
Bajado 1000 pies, entonces, aplicando la proporción:

1 pie H -> -100 pies V

x pie H -> -1000 pies V

Aplicando la multiplicación cruzada:

$-100x = -1000$

$100x = 1000$

$x = \frac{1000}{100}$

$x = 10$

El cambio en la distancia horizontal es de 10 pies.

Un problema similar es dado en brainly.com/question/24766917

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A car company says that the mean gas mileage for its luxury sedan is at least 24 miles per gallon (mpg). You believe the claim

Anastaziya [24]

Answer:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

$p_v =P(t_{(4)}$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg (null hypothesis) at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=23$ represent the sample mean

$s=5$ represent the sample standard deviation for the sample

$n=5$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is lower than 24 (rejecting the claim proposed), the system of hypothesis would be:

Null hypothesis: $\mu \geq 24$

Alternative hypothesis: $\mu < 24$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{23-24}{\frac{5}{\sqrt{5}}}=-0.447$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=5-1=4$

Since is a one sided test the p value would be:

$p_v =P(t_{(4)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't reject the claim that the true mean is at least 24 mpg at 1% of signficance.

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3 years ago

Triangle QRS has vertices Q(-4,2),R(3,0), and S(4,3).

Dafna1 [17]

The coordinates of the vertices of $\triangle Q'R'S'$ are $Q'(x,y) = (0, -4)$ , $R'(x,y) = (7,-6)$ and $S'(x,y) = (8, -3)$ , respectively.

Vectorially speaking, a point is translated to another location on Cartesian plane by means of this expression:

$A'(x,y) = A(x,y) + T(x,y)$ (1)

Where:

$A(x,y)$ - Original point.
$A'(x,y)$ - Translated point.
$T(x,y)$ - Translation vector.

If we know that $Q(x,y) = (-4,2)$ , $R(x,y) = (3,0)$ , $S(x,y) = (4, 3)$ and $R'(x,y) = (7, -6)$ $T(x,y) = (4, -6)$ , then the coordinates of the vertices of the triangle $Q'R'S'$ are:

$Q'(x,y) = Q(x,y) + T(x,y)$

$Q'(x,y) = (-4,2) + (4,-6)$

$Q'(x,y) = (0, -4)$

$R'(x,y) = R(x,y) + T(x,y)$

$R'(x,y) = (3,0) +(4,-6)$

$R'(x,y) = (7,-6)$

$S'(x,y) = S(x,y) + T(x,y)$

$S'(x,y) = (4, 3) + (4, -6)$

$S'(x,y) = (8, -3)$

The coordinates of the vertices of $\triangle Q'R'S'$ are $Q'(x,y) = (0, -4)$ , $R'(x,y) = (7,-6)$ and $S'(x,y) = (8, -3)$ , respectively.

We kindly invite to see this question on translations: brainly.com/question/17485121

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3 years ago

552,945 rounded to the place value

Xelga [282]

600,000 is the answer

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3 years ago

The formula for converting Celsius to Fahrenheit is f=9/5c+32. What would be the formula for converting Fahrenheit to Celsius?

svlad2 [7]

C.)
f=(9/5)c+32
f-32=(9/5)c
(f-32)/(9/5)=c
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3 years ago

What is the recursive formula for this geometric sequence 2, -10, 50, -250

BlackZzzverrR [31]

Answer:

$a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2$

Step-by-step explanation:

The recursion is as follows:

$a_k=-5\cdot a_{k-1}, \,\,\,k=1,2,...\,\,\,\mbox{and}\,\,\,a_0=2$

and unrolling the first few examples:

$a_0=2\\a_1=-5\cdot 2 = -10\\a_2= -5\cdot (-10) = 50\\a_3 = (-5) \cdot 50 = -250$

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3 years ago

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