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Nastasia [14]
2 years ago
8

Find the volume of the following solid figure. Use = 3.14. V = 4/3r3. A sphere has a radius of 3.5 inches. Volume (to the neares

t tenth) = cubic inches.
Mathematics
2 answers:
shepuryov [24]2 years ago
6 0

Answer:

179.5

Step-by-step explanation:

o-ware

Juli2301 [7.4K]2 years ago
4 0
To solve the problem shown above, you must apply the proccedure shown below:

 1. You must use tthe formula for calculate the volume of a sphere, which is:

 V=4πr³/3

 V is the volume of the sphere.
 r is the radius of the sphere (r=3.5 inches)

 2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:

 V=4πr³/3
 V=4π(3.5 inches)³/3

 3. Therefore, the answer is:

 V=179.5 inches³
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If the fastest you can safely drive is 65 mi/h, what is the longest time you can stop for dinner if you must travel 569 mi in 9.
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Divide total miles by speed to get how long it will take to drive:

569 miles / 65 mi/h = 8.75 hours.

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9.5 hours - 8.75 hours = 0.75 hours.

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2 years ago
Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that for at least one of
sasho [114]

Answer:

a)0,45119

b)1

Step-by-step explanation:

For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)

P=\frac{1}{365} *\frac{1}{365}=\frac{1}{133225} \\

Now the poisson approximation is used

λ=nP=80000*1/133225=0,6

Now, let X be the number of couples that birth April 30

P(X ≥ 1) =

1 − P(X = 0) =

1-\frac{(e^-0.6)*(-0,6)^{0} }{0!}

P(X ≥ 1) = 0,45119

B)  Now want to find the

probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday

P=52*\frac{1}{365} *\frac{1}{365}=\frac{52}{133225} \\

Now the poisson approximation is used

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6 0
2 years ago
Simplify the expression
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48/64=3/4

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4 0
2 years ago
Find the length of side AB<br> Give answer to 3 significant figures
Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a <em>right angle</em> \triangle ABC in which we have the following things:

\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm

Side <em>BC </em>is the hypotenuse here.

We have to find the side <em>AB</em>.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating \angle B:

Sum of all the angles in \triangle ABC is 180^\circ.

\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ

We know that <em>cosine </em>of an angle is:

cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm

So, side AB = 8.857 cm .

6 0
2 years ago
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