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Scilla [17]
3 years ago
14

PLEASE HELP ME WITH THIS ONE QUESTION

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Given:

n=4 and r=3.

To find:

The combinations without repetition are possible if n=4 and r=3.

Solution:

Combination of selecting r item from total n items is:

^nC_r=\dfrac{n!}{r!(n-r)!}

We have n=4 and r=3. By using the above formula, we get

^4C_3=\dfrac{4!}{3!(4-3)!}

^4C_3=\dfrac{4\times 3!}{3!1!}

^4C_3=4

Therefore, the correct option is D.

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The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management
Alexxandr [17]

Answer: Option D

Explanation: 100%

4 0
3 years ago
How do I do this I don’t get it at all
daser333 [38]
Order pairs (x,y)
A,(4,1)
B(-1,3)
C(-7,-4)
D(3,-2)
E(0,8)
7 0
2 years ago
Read 2 more answers
Pls help me answer this
igor_vitrenko [27]

Answer: 30 cm

Step-by-step explanation:

The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.

From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus \frac{1}{2} the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of  \frac{1}{2} (\frac{22}{7})(10 cm)^2(28 cm) = 4400 cm^3.

Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.

The ABKJ is a trapezoid so it's area is \frac{1}{2}(AJ + BK) \cdot AB. Thus the volume of the right prism is \frac{1}{2}(AJ + BK) \cdot AB \cdot AE. This gives us \frac{1}{2}(28 + 14) \cdot h \cdot 20 = 12600, and thus h = 30 cm.

3 0
1 year ago
How many solutions does the equation 22 = 81 have?
agasfer [191]

Answer:

No solutions.

Step-by-step explanation:

22 does not equal 81, so therefore no solutions.

7 0
3 years ago
Solve for x. -5x + 13 = -17
Lana71 [14]

Subtract 13 from both sides

-5x = -17 - 13

Simplify -17 - 13 to -30

-5x = -30

Divide both sides by -5

x = -30/-5

Two negatives make a positive

x = 30/5

Simplify 30/5 to 6

<u>x = 6</u>

7 0
3 years ago
Read 2 more answers
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