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Leokris [45]
3 years ago
5

Anyone know the answer to this question?

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."

  x° = 64° +76°

  x° = 140°

_____

<em>Additional comment</em>

This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.

If we call the unknown interior angle U, these relations are ...

  64 + 76 + U = 180 . . . . sum of angles in a triangle

  x + U = 180 . . . . . . . . . . sum of angles in a linear pair

Comparing these two equations, we see that ...

  64 + 76 = x

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All eleven letters in the word GRASSHOPPER are put in a box. What is the probability of drawing a consonant from the box?
Anna007 [38]
R, h, g, s, and p are all constants, so that would be 8/11, or 72% of a chance of getting a consonant. 

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8 0
3 years ago
The probability distribution for the rate of return on an investment is
babymother [125]

Answer:

a)0.7

b) 10.03

c)  0.0801

Step-by-step explanation:

Rate of return   Probability

9.5                           0.1

9.8                           0.2

10                             0.3

10.2                          0.3

10.6                          0.1

a.

P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)

P(Rate of return is at least 10%)=0.3+0.3+0.1

P(Rate of return is at least 10%)=0.7

b)

Expected rate of return=E(x)=sum(x*p(x))

Rate of return(x)   Probability(p(x))    x*p(x)

9.5                           0.1                       0.95

9.8                           0.2                      1.96

10                             0.3                        3

10.2                          0.3                        3.06

10.6                          0.1                       1.06

Expected rate of return=E(x)=sum(x*p(x))

Expected rate of return=0.95+1.96+3+3.06+1.06=10.03

c)

variance of the rate of return=V(x)=sum(x^2p(x))-[sum(x*p(x))]^2

Rate of return(x)   Probability(p(x))    x*p(x)    x²*p(x)

9.5                           0.1                       0.95       9.025

9.8                           0.2                      1.96         19.208

10                             0.3                       3             30

10.2                          0.3                       3.06        31.212

10.6                          0.1                       1.06         11.236

sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681

variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²

variance of the rate of return=V(x)=100.681-(10.03)²

variance of the rate of return=V(x)=100.681-100.6009

variance of the rate of return=V(x)=0.0801

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Answer:

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Step-by-step explanation:

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