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3 years ago

11

The radius of a circle is 20 inches. Enter the area of the circle in square inches round your answer to the nearest tenth and us

e 3.14 for pi

1 answer:

mr_godi [17]3 years ago

8 0

Answer:

$\displaystyle 1256,6$

Step-by-step explanation:

Use this formula to find the area of any circle:

$\displaystyle πr^2 \\ \\ π20^2 = 400π ≈ 1256,637061 ≈ 1256,6$

I am joyous to assist you anytime.

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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t

SVEN [57.7K]

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

$CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error of this confidence interval is:

$MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

Given:

$MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576$

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

$MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207$

Thus, the minimum sample size required is 207.

3 0

3 years ago

If a baking tray is 700mm by 600mm, how many of 25cm in diameter can fit into the baking tray?

Trava [24]

1cm=10mm
700mm= 70cm
600mm=60cm

70cm:25cm=2,8 - on length only 2 fit into

60cm:25=2,4 - on width only 2 fit into

Two 25cm in diameter fit into the baking tray.

7 0

3 years ago

PLS HELP 50 POINTS

ra1l [238]

I feel like the answer Would be C but I could be wronge

8 0

2 years ago

Read 2 more answers

An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These

Vladimir79 [104]

Answer:

Between 1000 and 5000 snowboards will make the function AP(x) >0.

Step-by-step explanation:

Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.

In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.

P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

$r_1,r_2 = \frac{-6 ^+_- \sqrt{6^2-4*(-1)*(-5)} }{2*(-1)} = \frac{-6^+_-\sqrt{16}}{-2} = \{1, 5\}$

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:

P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )

The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)

5 0

2 years ago

Mark’s Pool Repair charges $50 for a service call, plus $40/h for labour. Jennifer’s Pools and Spas charges $30 for a service ca

tatyana61 [14]

Multiply each hourly rate by x ( time to complete the work) add it to the service call for each and then set the equations equal:

50 + 40x = 30 +45x

Subtract 30 from both sides:

20 + 40x = 45x

Subtract 40x from both sides:

20 = 5x

Divide both sides by 5

x = 4

The length is 4 hours.

3 0

3 years ago