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nlexa [21]
3 years ago
9

Solve for x. (round to the nearest tenth)

Mathematics
2 answers:
lesya692 [45]3 years ago
5 0

Answer:

x ≈ 29.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos31° = \frac{adjacent}{hypotenuse} = \frac{x}{34} ( multiply both sides by 34 )

34 × cos31° = x , then

x ≈ 29.1 ( to the nearest tenth )

Snowcat [4.5K]3 years ago
4 0
If a triangle equals 180 that means 34+31=65 then subtract that from 180 so you do 180-65=115 and then that means 115 is your answer
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natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
​(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
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1 - 0.1209 = 0.8791.
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(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
</span>
6 0
3 years ago
Help I’m not sure if this is correct number 4
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Answer:

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Step-by-step explanation:

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2 years ago
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I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

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sec(7π/6)cot(7π/6) + 2 = 0

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sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

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csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

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3 years ago
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Answer:

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