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goldfiish [28.3K]
3 years ago
15

The volume of a sphere is 36π in³. what is the radius of the sphere?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0
I can't read your question but here is the formula.
If the volume of a sphere =<span>  4/3 • <span>π <span>• r³
Then we solve for the radius
</span></span></span>
r³ = <span>sphere volume / (<span>4/3 • π)
</span></span>radius = Cube Root [ <span><span>sphere volume / </span>(4/3 • π) </span><span>]
</span>

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Solve 7x − 2(x + 1) = 6x + 14.<br> −12<br> 12<br> −16<br> 16
Vladimir79 [104]
7x-2(x+1)=6x+14
7x-2x-2=6x+14
5x-6x=14+2
-x=16
x=-16
3 0
3 years ago
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Two angels are supplementary. The measure of the large angle is four more than three times the measure of the small angle. Find
sashaice [31]

Answer:

The measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180° .

Let

Small angle = x

Large angle = y

x + y = 180°.... Equation 1

The measure of the large angle is four more than three times the measure of the small angle

Hence: y = 4 + 3x

We substitute 4 + 3x for y in Equation 1

x + 4 + 3x = 180°

4x + 4 = 180°

4x = 180° - 4

4x = 176

x = 176/4

x = 44°

Solve for y

y = 4 + 3x

y = 4 + 3(44)

y = 4 + 132

y = 136°

Therefore, the measure of the two supplementary angles is

Small angle = x = 44°

Large angle = y = 136

5 0
3 years ago
Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
√7 as a fraction <br><br>pls help <br><br><br><br><br><br><br><br>​
ikadub [295]

Answer:

2645/1000

Step-by-step explanation:

ㅐㅕ     HEr

7 0
3 years ago
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What's the next number for this pattern 2,3,5,9,17 is it a.34 b.31 c.32 or d.33
Igoryamba
The answer is D 33 because it starts by adding 1 and then doubles the amount added every time<span />
5 0
4 years ago
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