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Ann [662]
2 years ago
13

Ella stacks two boards under a table to make it level. One board is į inch thick. The

Mathematics
1 answer:
posledela2 years ago
3 0

Step-by-step explanation:

the problem description is incomplete or wrongly copied.

we don't know the thickness of the boards, and we cannot understand what we need to calculate, and what the answer options are.

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Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmat
DIA [1.3K]

Answer:

surburu

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose we want to choose 4 colors, without replacement, from 18 distinct colors.
amm1812

Answers:

  • (a) 73440
  • (b)  3060

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

  • 18 choices for slot A
  • 17 choices for slot B
  • 16 choices for slot C
  • 15 choices for slot D

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

_nP_r = \frac{n!}{(n-r)!}

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

-----------------------------------

Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

_nC_r = \frac{n!}{r!(n-r)!}

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

_nC_r = \frac{_nP_r}{r!}

which can be rearranged into

_nP_r = r!*\left( _nC_r \right)

these formulas are handy to help us go back and forth between nCr or nPr.

8 0
2 years ago
Make q the subject of the formula 5(q+p)=4+8
siniylev [52]

Answer:

q = \frac{4+3p}{5}

Step-by-step explanation:

Given

5(q + p) = 4 + 8p ← distribute the left side

5q + 5p = 4 + 8p ( subtract 5p from both sides )

5q = 4 + 3p ( divide both sides by 5 )

q = \frac{4+3p}{5}

6 0
3 years ago
5 divided by what equals 9
Effectus [21]
5 divided by 45 equals 9
3 0
2 years ago
Read 2 more answers
Can someone please help me?the question is in the picture. Thank you
kaheart [24]

Answer:

B

Step-by-step explanation:

The two triangles are congruent because they have three rispective side congruent

AB and AD are both radiuses and AC is in common

so m arc BC is 78 degrees

8 0
3 years ago
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