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2 years ago

7

The circumference A of a circle varies directly with its radius. A circle with a radius of 4 has a circumference of about 25.1 i

n.2. What would be the circumference of a circle with a radius of 9 in.?

1 answer:

horsena [70]2 years ago

8 0

Answer:

25.1 in.2.

Step-by-step explanation:

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What is the volume of a sphere with a diameter of 7.9 ft

vovangra [49]

Answer:

V ≈ 258 ft³

Step-by-step explanation:

I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2 ft

Volume of a sphere is

V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³

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2 years ago

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ANEK [815]

Answer:

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Step-by-step explanation:

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3 years ago

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Use the definition of the derviative to compute the derivative of f(x)= 1- 7x^2 at the specific point x=2.

GaryK [48]

Answer:

$f'(x) = -28 \ at \ x = 2$

Step-by-step explanation:

$f'(2) = \lim_{h \to 0}\frac{f(2+h)) -f(2)}{h} \\\\f(2+h) = 1 - 7(2+h)^2 = 1 - 7(4 +h^2 +4h) = 1 - 28 - 7h^2 - 28h = - 7h^2 -28h - 27\\\\f(2) = 1 - 7(2^2) = 1 - 28 = -27\\\\f(2+h) - f(2) = -7h^2 - 28h - 27 - (-27) = -7h^2 -28h -27 + 27 = -7h^2 -28h\\\\f'(2) = \lim_{h \to 0}\frac{-7h^2 - 28h}{h} \\\\$

$= \lim_{h \to 0} \frac{h(-7h -28)}{h}\\\\= \lim_{h \to 0} (-7h -28)}\\\\= -7 (0) - 28\\\\= -28$

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2 years ago

Determine whether the following statement regarding the hypothesistest for two population proportions is true or false.

murzikaleks [220]

Answer:

False

Step-by-step explanation:

Let p1 be the population proportion for the first population

and p2 be the population proportion for the second population

Then

$H_{0}$ p1 = p2

$H_{a}$ p1 ≠ p2

Test statistic can be found usin the equation:

$z=\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample population proportion for the first population

p2 is the sample population proportion for the second population

p is the pool proportion of p1 and p2

n1 is the sample size of the first population

n2 is the sample size of the second population.

As |p1-p2| gets smaller, the value of the <em>test statistic</em> gets smaller. Thus the probability of its being extreme gets smaller. This means its p-value gets higher.

As the<em> p-value</em> gets higher, the null hypothesis is less likely be rejected.

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3 years ago

F two angles have the same vertex, then they are adjacent.

arlik [135]

Are you asking if it's true or false?
Because it's false, they are not necessarily adjacent.

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2 years ago