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2 years ago

A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.

Mathematics

1 answer:

Alchen [17]2 years ago

8 0

Answer:

$4851

Step-by-step explanation:

rectangular prism volume = length x width x height

1 litre = 1000 cm³

cost = $per litre x litres

v = l x w x h

30cm x 25cm x 42cm = 31500cm³

litres = cm³ / 1000

31500cm³ / 1000 = 31.5 litres

31.5 x $154 = $4851

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3. What is the solution to the equation 3x = 15? Express the

ivanzaharov [21]

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean $3^x=15$

so let s use the ln() function

$ln(3^x)= xln(3)=ln(15)$

so x = ln(15)/ln(3)

x = 2.4650

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2 years ago

How do you find the area of a circle and what is the formula for it

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Answer:

Read Exp:

Step-by-step explanation:

Area = 3.14 x r^2

I've Included a picture to tell you how to get the diameter as well as the circumference.

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3 years ago

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The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

Aloiza [94]

Answer:

$a)\ \ \bar x_m-\bar x_f=67.03\\\\b)\ \ E=15.7416\\\\c)\ \ CI=[51.2884, \ 82.7716]$

Step-by-step explanation:

a. -Given that:

$n_m=41\ , \ \sigma_m=33, \bar x_m=135.67\\\\n_f=37. \ \ ,\sigma_f=20, \ \ \bar x_f=68.64$

#The point estimator of the difference between the population mean expenditure for males and the population mean expenditure for females is calculated as:

$\bar x_m-\bar x_f\\\\\therefore \bigtriangleup\bar x=135.67-68.64\\\\=67.03$

Hence, the pointer is estimator 67.03

b. The standard error of the point estimator, $\bar x_m-\bar x_f$ is calculated by the following following:

$\sigma_{\bar x_m-\bar x_f}=\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

-And the margin of error, E at a 99% confidence can be calculated as:

$E=z_{\alpha/2}\times \sigma_{\bar x_m-\bar x_f}\\\\\\=z_{0.005}\times\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\\\=2.575\times \sqrt{\frac{33^2}{41}+\frac{20^2}{37}}\\\\\\=15.7416$

Hence, the margin of error is 15.7416

c. The estimator confidence interval is calculated using the following formula:

$\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}$

#We substitute to solve for the confidence interval using the standard deviation and sample size values in a above:

$CI=\bar x_m-\bar x_f\ \pm z_{\alpha/2}\sqrt{\frac{\sigma_m^2}{n_m}+\frac{\sigma_f^2}{n_f}}\\\\=(135.67-68.64)\pm 15.7416\\\\=67.03\pm 15.7416\\\\=[51.2884, \ 82.7716]$

Hence, the 99% confidence interval is [51.2884,82.7716]

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2 years ago

5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST

Alexandra [31]

Answer:

5 x 10 to the 6th power is 5,000,000

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it is 100 times larger

Step-by-step explanation:

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3 years ago

Value of 81 to the power of - 1/2

Leokris [45]

Answer:

1/9

.........................

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2 years ago

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