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3 years ago

The surface area of a cone is about 64 square meters. The radius of base is 2 meters. What is the slant height?

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

Step-by-step explanation:

L is the slant height

area of base = 4π m²

lateral area = surface area - base area = 64-4π

πrL = 64-4π

L = (64-4π)/(2π) = 8.2 m

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In a company 85% of the workers are men if 510 women work for the company how many workers are there in all

tester [92]

Answer:

3400 workers

Step-by-step explanation:

85% of men that means 15% are women

15% = 510

15/100= 510/x

100x510=51000

51000/15 =3400

x=3400

3 0

3 years ago

Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent v

natka813 [3]

Answer:

Step-by-step explanation:

Hello!

Given the independent variable X and the dependent variable Y (see data in attachment)

The regression equation is

^Y= b₀ + bX

Where

b₀= estimation of the y-intercept

b= estimation of the slope

The formulas to manually calculate both estimations are:

$b= \frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }$

$b_0= \frac{}{y} - b*\frac{}{x}$

n=7

∑X= 42

∑X²= 292

∑Y= 49

∑Y²= 403

∑XY= 249

$\frac{}{y} = \frac{sumY}{n} = \frac{49}{7} = 7$

$\frac{}{x} = \frac{sumX}{n} = \frac{42}{7} = 6$

$b= \frac{249-\frac{42*49}{7} }{292-\frac{42^2}{7} }= -1.13$

$b_0= 7- (-1.13)*6= 13.75$

^Y= 13.75 - 1.13X

Using the raw data you can calculate the coefficient of determination as:

$R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}$

$R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84$

This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X

I hope this helps!

6 0

4 years ago

Jaxon’s start-up business makes a profit of $450 during the first month. However, the company records a profit of -$60 per month

omeli [17]

1st month +450

-60 x 4 months = -240

6th month + 125

Total: 450 - 240 + 125 = $335 profit

7 0

3 years ago

After 3 hours of of driving, Paul had gone 183 miles. What was his average rate of speed? Explain your answer.

torisob [31]

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$s(av) = \frac{∆x}{∆t} \\$

$s(av) = average \: \: speed$

$∆x = covered \: \: distance$

$∆t = time \: \: of \: \: the \: \: covered \: \: distance \\$

_________________________________

$s(av) = \frac{183}{3} \\$

$s(av) = 61 \: \: \frac{mile}{hour}$

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5 0

3 years ago

Find volume of cone z=sqrt(x^2+y^2) that is bounded with z=5 and z=7

Nina [5.8K]

Convert to cylindrical coordinates first, using

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}$

Then the volume is

$\displaystyle\int_{\zeta=5}^{\zeta=7}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\zeta}r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
$=\displaystyle\pi\int_{\zeta=5}^{\zeta=7}\zeta^2\,\mathrm d\zeta$
$=\dfrac{218\pi}3$

5 0

3 years ago