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Katen [24]
4 years ago
6

hi:) for 5(b) , I got 157.7 & 22.3 but in the answer key, the only correct answer is 157.7. I thought there should be 2 poss

ible values?

Mathematics
2 answers:
n200080 [17]4 years ago
8 0

Answer:

Θ = 157.7°

Step-by-step explanation:

Given

cosΘ = - 0.925

Since cosΘ < 0 then Θ is in the second or third quadrant.

Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus

Θ = cos^{-1}(- 0.925) = 157.7° ← angle in second quadrant

inna [77]4 years ago
7 0

Answer:

There should be only 1 value (157.7°) since we reject the second value as θ lies in quadrant 1 and 2. Note that the 2nd value should have been 202.3°, which is greater than 180°.

Cosine of an angle negative in the 2nd and 3rd quadrant.

Step-by-step explanation:

Please see attached picture.

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Elina [12.6K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected
Slav-nsk [51]

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

<u>A) contingency table </u>

attached below

<u>B) Determine the proportion of these lizards in this study that were either specie A or Specie B </u>

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

<u>C) determine the probability that specie C lizard did not study </u>

P ( not surviving  | C ) = 7 / 15 = 0.466 ≈ 0.47

7 0
3 years ago
Pls helpeddddddddddddddd
Dmitrij [34]

Answer:

B

Step-by-step explanation:

Remark

The easiest way to do this is to Substitute for y in the top equation.

2x + 4y = 18                         Divide by 2

2x/2 + 4y/2 = 18/2

x + 2y = 9

Substitute -3x + 2 in for y in the equation above

x + 2(-3x + 2) = 9

x - 6x + 4 = 9                    

Combine like terms on the left

-5x + 4 = 9                      

Subtract 4 from both sides.

-5x + 4-4 = 9- 4

-5x = 5

Divide by -5

-5x/-5 = 5/-5

x = - 1

That makes A and C incorrect.

y = -3x + 2

y = -3(-1) + 2

y = 3 + 2

y = 5

The correct answer should be (-1,5) which is B

7 0
3 years ago
The total rainfall in Forks, Washington, this October was 8 3/8 in. In September, 60% less rain fell than in October.
lakkis [162]
Given:
October: 8 3/8 inches
September : 60% less rain fell than in October.

This means that only 40% rain fell in September based on the amount of rain that fell in October.

8 3/8 ⇒ (8*8)+3/8 = 67/8
40% is 4/10

67/8 * 4/10 = 268/80 = 3 28/80 or 3 7/20 or 3.35

28 ÷ 2 = 14
80 ÷ 2 = 40
14 ÷ 2 =   7
40 ÷ 2 = 20

In September 3 7/20 inches or 3.35 inches of rain fell.
7 0
3 years ago
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There are 7 days in 1 week. How many days are there<br> in 4 weeks?
otez555 [7]

Answer:

28 days

Step-by-step explanation:

You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.

Hope this helps!

8 0
3 years ago
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