If gh has endpoints g(-8, 1) and h(4,5)

Consider the enlargement of the rectangle.

IrinaK [193]

where are the options???

5 0

3 years ago

The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al

matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

$\mu =1000$ --- mean

$\sigma^2 = 1200$ --- variance

$tax = 10\%$

Required

The coefficient of variation

The coefficient of variation is calculated using:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

After the tax, the new mean is:

$\mu_{new} = \mu * (1 + tax)$

$\mu_{new} = 1000 * (1 + 10\%)$

$\mu_{new} = 1100$

And the new variance is:

$\sigma^2_{new} = \sigma^2 * (1 + tax)$

$\sigma^2_{new} = 1200 * (1 + 10\%)$

$\sigma^2_{new} = 1320$

So, we have:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

$CV = \frac{\sqrt{1320}}{1100}$

$CV = \frac{36.33}{1100}$

$CV = 0.033$

6 0

3 years ago

Use differentials to approximate the change in the volume of a cube when the side is decreased from 8 to 7.99 cm. (in cm3)

Firlakuza [10]

Answer:

-1.92 cm³

Step-by-step explanation:

The formula for the volume of a cube in terms of side length is ...

V = s³

Then the first-order approximation of volume for a small change ∆s in side length is ...

V(s +∆s) ≈ V(s) + V'(s)·∆s

and the change in volume is ...

∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s

The derivative V'(s) is ...

V'(s) = 3s²

so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...

∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³

4 0

3 years ago

Help me with this!!! I will mark Brainliest

Maurinko [17]

Answer:

No

Step-by-step explanation:

VX = 4 spaces

UW = 3 spaces

3 0

2 years ago

"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe

marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

$\hat y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

$\hat y=3.73 +0.88 x$

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

$\hat y=3.73 +0.88 x$

$=3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33$

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0

3 years ago