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mr_godi [17]
3 years ago
13

If p+q+r = 1 and pq+qr+pr = -1, and pqr = -1, find the value of 

D%2B%20r%5E%7B3%7D%20%20%20" id="TexFormula1" title=" p^{3}+ q^{3}+ r^{3} " alt=" p^{3}+ q^{3}+ r^{3} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Ugo [173]3 years ago
6 0
Pq+qr+pr= pqr (because they are both equal to -1)
then you divide both sides by p to get
q+ qr/p + r = qr. then you divide both sides by q and get
r/p + r/q = r. so I divided both sides by r to get
P + q =0 therefore p= -q. putting that into the first equation allows you to get that r=1 because p and q cancel each other out. then I put that into pq+qr+pr=-1 so pq+q+p=-1 since p=-q the q+p gets canceled out and you're left with pq=-1 and since it is the product of the two numbers and q is the negative of p. q=-1 while p=1. therefore p=1 r=1 and q=-1
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Tems11 [23]

Answer:

Thus percentile lies between 53.3% and 55.6 %

Step-by-step explanation:

First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N

where n is the ordinal rank of the given value

N is the number of values in ascending order.

The data in ascending order is

0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3

1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5

Number of observation = 45

4.9 lies between 3.3 and 5.5

x*n = 24 observation x*n = 25 observation

x*45= 24 x*45= 25

x= 0.533 x= 0.556

Thus percentile lies between 53.3% and 55.6 %

7 0
3 years ago
The graph of a function is f(x)=3√x.
suter [353]

Answer:

F(0.75)= 3/2 sq. root 3

F(9)= 9

F(7)= 3 sq. root 7

b) x= +-1

x=+-4

x= +- 49/9

3 0
2 years ago
a rectangular mural measures 3.5ft by 5.5ft. Rosalie creates a new mural that is 1.5 ft longer. What is the perimeter of Rosalie
saveliy_v [14]

Answer:

P = length + width x 2
P = 3.5ft + 5.5ft x 2
P = 9ft x 2
P = 18ft + 1.5ft (the new mural)
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6 0
2 years ago
Similar triangles are congruent.
Alex Ar [27]

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Mark studies a group of 30 whales. If each whale weighed approximately 3.8 x 105 pounds, find the total weight of all 30 whales.
Yakvenalex [24]

Answer:

= 1.14 \times 10^{7}pounds

Step-by-step explanation:

If each whales weighed

3.8 \times  {10}^{5}

Then 30 whales weighed

30 \times 3.8 \times  {10}^{5}

=114 \times {10}^{5}

= 1.14 \times 10^{2}  \times {10}^{10}

Applying the law of indices we obtain

= 1.14 \times 10^{(2+ 5)}

=1.14 \times 10^{7}pounds

6 0
3 years ago
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