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Sonbull [250]
1 year ago
14

In triangle DEF, m∠D = (3x + 27)°, m∠E = (4x + 22)°, and m∠F = 68°. Determine the degree measure of the exterior angle to ∠D.

Mathematics
2 answers:
Citrus2011 [14]1 year ago
4 0

Answer:(A) 54

Step-by-step explanation:

Verizon [17]1 year ago
3 0
It will be 58
Answer :B -58
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In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h
andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = \dfrac{1}{10}   [Since total digits = 10]

We assume that each digit of the license number is randomly selected  .

Since each digit in the license plate is independent from the other  and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula:  P(X=x)=^nC_xp^x(1-p)^{n-x}

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

X\sim Bin(n=6, p=\dfrac{1}{10}})

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415

Hence, the required probability = 0.098415

5 0
3 years ago
CASLAN UR HERE 56+6x567890-9
sammy [17]

Answer: 35, 209, 171

Step-by-step explanation: hope i helped

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3 years ago
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3 cos A = 4 sin A<br>find<br>a) cos A<br>b) 3-cot2 A+ cosec2A<br><br>​
Lady_Fox [76]

Answer:

a). cosA = 4/5

b).

3 - cot {}^{2} a \:  + cosec {}^{2} a \:  = 0

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3 years ago
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Answer:

First option.

Third option.

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NARA [144]
Eight more than the product of two and a number x

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~'Manda
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3 years ago
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