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defon
3 years ago
10

If sin–¹x +sin–¹y+sin–¹z=π/2, prove that x²+y²+z²+2xyz=1

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0

Answer:

Step-by-step explanation:

Points

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Draw a box-and-whisker plot of the data. 37, 34, 26, 33, 38, 36, 30
BARSIC [14]
I’m sorry this is messy but I hope this is right!! <3

8 0
3 years ago
A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is
PIT_PIT [208]

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

<h3>(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)</h3>

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

<h2>J = - 20</h2><h2 />

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

3 0
3 years ago
Solve this 25 points
zloy xaker [14]
Y = 4 and x = 1 hope this helps!
8 0
3 years ago
All the fourth-graders in a certain elementary school took a standardized test. A total of 81% of the students were found to be
Dvinal [7]

Answer:

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

Step-by-step explanation:

Let's define the events:

L: The student is proficient in reading

M: The student is proficient in math

The probabilities are given by:

P (L) = 0.81\\P (M) = 0.74\\P (L\bigcap M) = 0.64

P (M\bigcap L^c) = P (M) - P (M\bigcap L) = 0.74 - 0.64 = 0.1\\P (M^c\bigcap L) = P (L) - P (M\bigcap L) = 0.81 - 0.64 = 0.17

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

5 0
4 years ago
Use your knowledge about parentheses and substitution to solve the following:
meriva

Answer:

16. r(s)(t) =

r=2, s=3, t=4

(2)(3)(4)=

             (2*3) = 6  ---> 6(4) = 24

final: 24

17. (r)(s)(t)(x)(y) =

r = 2, s = 3, t = 4, x = 5, y = 6

(2)(3)(4)(5)(6)

2*3=6

      6*4=24

            24*5= 120

                     120*6=720

final: 720

18. (7x + 2Y) =

x = 5, y = 6

rewrite--->        = [7(5) + 2(6)]

[35 + 12] = 47

final: 47

hope this helpsss sorry took a while LOL

Step-by-step explanation:

q = 1; r = 2; s = 3; t = 4; x = 5; y = 6

5 0
2 years ago
Read 2 more answers
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