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3 years ago

Autumn is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Mathematics

1 answer:

Greeley [361]3 years ago

4 0

26000 - 32000 = 32000 - 38000 = -6000
Since the difference is common this is a linear function

32300/38000 = 27465/32300 = 0.85
Since the ratio is common this is an exponential function

V(x) = 38000 - 6000x

V(x) = 38000*0.85ˣ

Find V(6) for both cars and compare

V(6) = 38000 - 6*6000 = 2000

V(6) = 38000*0.85⁶ = 14331.68

As we see the difference is significant and car 2 has much greater value

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The local farmer's market sells a 4-pound basket of apples which contains 10

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Answer:

I believe its $1.40

Step-by-step explanation:

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2 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

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3 years ago

Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus cos

const2013 [10]

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000

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3 years ago

A new 70-inch tv is on sale. With sales tax 5%, the cost of the tv is $3150. What is the purchase

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$x - 0.05x = 3150 \\ 0.95x = 3150 \\ x = 3315$

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3 years ago

Jasmine has taken an online boating safety course and is now completing her end-of-course exam. As she answers each question, th

seropon [69]

Answer:

80 questions

Step-by-step explanation:

100%/20%=5%

5×16=80

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3 years ago