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nikklg [1K]
2 years ago
9

PLEASE HELP!! FAST 20 POINTS

Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0
Total money= £14,713.11
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People were asked if they were considering changing what they eat. 29% said yes
RUDIKE [14]
In this problem, you need to figure out whats 23% of 29% to find the percentage of the total group becoming vegetarians.

In order to do this, you can convert the percentages to decimals and multiply.

.23 x .29 = .0667 or 6.67%

6.67% of the total group are considering becoming vegetarians.
6 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
3 years ago
Given a point A(-2,5), find the coordinates of a point B so that the line segment AB has each slope.
Kaylis [27]

Step-by-step explanation:

I understand this that we need to find a point B for each of a) to f).

remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.

a)

the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.

so, B = (-2 + 3, 5 + 2) = (1, 7)

b)

-2/3 means that either x or y have to decrease and the other to increase.

e.g. x increases by 3, y decreases by 2.

so, B = (-2 + 3, 5 - 2) = (1, 3)

c)

4 stands for 4/1.

so, x increases by 1, y increases by 4.

B = (-2 + 1, 5 + 4) = (-1, 9)

d)

similar to c) -3 stands for -3/1.

and similar to b) either x or y has to decrease and the other to increase.

e.g. x increases by 1, y decreases by 3.

B = (-2 + 1, 5 - 3) = (-1, 2)

e)

that means the y difference is 0. B has the same y coordinate.

e.g. B = (3, 5)

x can be any value.

the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.

f)

that means the x difference is 0. B has the same x coordinate.

e.g. B = (-2, 9)

y can be any value.

the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.

8 0
1 year ago
The Math Club is renting a banquet room for a party with door prizes. The banquet room costs
juin [17]

Answer:

14

Step-by-step explanation:

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3 years ago
Find the area of the regular polygon.<br> 2.77<br> 2.5<br> A<br> square units
xxTIMURxx [149]

Answer:

A= 20.83 square units

Please mark me brainliest please

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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