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just olya [345]
3 years ago
11

The measure of an angle is 114º. Calculate the measure of its supplementary angle.

Mathematics
1 answer:
sp2606 [1]3 years ago
8 0

Answer:

66°

Step-by-step explanation:

Supplementary angles sum to 180°, thus

supplementary angle = 180° - 114° = 66°

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7. In a state lottery, a player must choose 8 of the numbers from 1 to 40. The lottery commission then performs an experiment th
Vlad1618 [11]

Answer:a) P(8 of the players numbers are drawn)=1.3×10^-8

b) P(7 of the players number are drrawn)=3.33×10^-c) P(at least 6 of the players number were drawn)=1.84×10^-4

Step-by-step explanation:

Players has 8 combinations of numbers from 1-40. The outcome S contains all the combinations of 8 out of 40

a) P(8 of the players numbers are drawn)= 1/40/8= 1.3×10^-8

There are one in hundred million chances that the draw numbers are precisely the chosen ones.

b) Number of ways of drawing 78 selected numbers from 1-40=8×(40-7)

8×32

P(7 of the players number are drawn)=8×32/40 =3.33×10^-6.

There are approximately 300,000 chances that 7 of the players numbers are chosen

c) P(at least 6 players numbers are drawn)= 32/2×(8/6) ways to draw.

P(at least 6 players numbers are drawn)=P(all 8 chosen are drawn)+P(7 players numbers drawn)+P(6 chosen are drawn) = 1+ 8 x32/40/8 +[8\6 ×32/2]

P(at least 6 players numbers are drawn) = 1.84×10^-4.

There are approximately 5400chances that at least6 of the numbers drawn are chosen by the player.

5 0
3 years ago
I have NO idea how to do this to be honest.
vazorg [7]
(-5a)(-3a ²)
= 
15a³

-5 x -3 = 15 ( negative times negative = positive)
a x a² = a³ ( when multiplying exponents, you add the exponents together )
4 0
3 years ago
Read 2 more answers
What is the recursive rule for the sequence?
love history [14]

Answer : option d

4.4, 5.8, 7.2, 8.6, 10, …

First we find the common difference between two terms

5.8 - 4.4 = 1.4

7.2 - 5.8 = 1.4

8.6 - 7.2 = 1.4

10 - 8.6 = 1.4

So common difference is 1.4

To find recursive rule, we add the difference with previous term

Recursive rule is a_n = a_{n-1} + d

a1 is the first term so a1= 4.4

d is the difference = 1.4

So recursive rule is

a_n = a_{n-1} + 1.4, where a1 = 4.4

4 0
3 years ago
Pls help me ASAP!!!!!!!!!!!!!
Nikolay [14]

Sound the same but have totally different meanings.

5 0
3 years ago
Read 2 more answers
A computer has the shape of a rectangular solid. Find the volume of the computer, with dimensions of 5 inches by 5 inches by 5.5
poizon [28]

Volume is length x width x height.

Volume = 5 x 5 x 5.5

Volume = 137.5 cubic inches.

6 0
3 years ago
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