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Tems11 [23]
3 years ago
7

URGENT. Q) 18, 19, 20

Mathematics
2 answers:
notsponge [240]3 years ago
4 0
18. s = 5r^2 + 7......making r the subject
      s - 7 = 5r^2
      (s - 7) / 5 = r^2...by taking the sqrt of both sides, it eliminates the ^2
     ( sqrt (s-7)/5) = r

19. h = ut - 1/2gt^2....u = 100, t = 1 4/5(or 9/5)...g = 6.4
      h = (100)(9/5) - 1/2(6.4)(9/5^2)
      h = 180 - 1/2(6.4)(3.24)
      h = 180 - 3.2(3.24)
      h = 180 - 10.368
      h = 169.632 or 169 79/125

20. sorry..do not know this one
vazorg [7]3 years ago
4 0
X= 0.2222 and so on hope I was helpful
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The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m
larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words=\frac{13!}{4\times 2!\times 3!}=64,864,800

When M's are together . considering 2 M's as one

therefore there are \frac{12!}{3\times 2!\times 3!}=9,979,200

No of ways=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600

(b)No of ways such that M's are separated by at least 2 letters

at least  2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

=45738000

7 0
3 years ago
Stella bought a dinette set on sale for $725. The original price was $1,299. To the nearest tenth of a percent, what was the rat
kifflom [539]

Answer:

40%

Step-by-step explanation:

1299-725= 574

574/1299 x 100 = 44.19%

8 0
3 years ago
Yay! tysm guys for helping me on this test! i got a 85! :)
irakobra [83]

Answer:

Proud of you!! <3 :)

Step-by-step explanation:

8 0
2 years ago
A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from he
Mrac [35]
For this case we can model the problem as a rectangle triangle.
 We have:
 Length of the sides of the triangle.
 We want to find:
 Length of the hypotenuse.
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 d ^ 2 = 2 ^ 2 + 2 ^ 2&#10;
 d =  \sqrt{2 ^ 2 + 2 ^ 2} &#10;&#10;d =  \sqrt{4 + 4} &#10;&#10;d =  \sqrt{8} &#10;&#10;d =  2\sqrt{2} &#10;
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4 0
3 years ago
In an experiment, a ball is drawn from an urn containing 12 purple balls and 13 green balls. If the ball is purple, two coins ar
UNO [17]

Answer:

4 elements of the sample space will have a purple ball

There are 10 elements altogether

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

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Probability (a ball drawn is purple) = 12/25

If a purple ball is drawn, two coins are tossed

1 coin has 2 elements

2 coins have 2×2 = 4 elements

Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25

If a ball drawn is not purple, three coins are tossed

1 coin has 2 elements

3 coins have 3×2 = 6 elements

Total elements = 4 + 6= 10 elements

5 0
3 years ago
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