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GrogVix [38]
3 years ago
15

Which measure is of an angle that is coterminal with a 425 angle?

Mathematics
2 answers:
mixas84 [53]3 years ago
3 0
To get a coterminal angle we either add or subtract multiples of 360.

For this case a multiple of 360 is 1440,  because 360 * 4 = 1440.

So the option that would be coterminal of 425 degrees =

425° + (1440n)° for any integer of n
Elan Coil [88]3 years ago
3 0

Answer:

d on edg

Step-by-step explanation:

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There are two coins, one is fair and one is biased. The biased coin has a probability of landing on heads equal to 4/5. One of t
den301095 [7]

Answer:

72.4%

Step-by-step explanation:

The probability of A occurring given that B occurs = the probability of both A and B / the probability of B

P(A|B) = P(A∩B) / P(B)

This can be rearranged as:

P(A∩B) = P(B) P(A|B)

In this case:

A = biased coin is chosen

~A = fair coin is chosen

B = 4 heads then 1 tail

First, let's find P(A∩B).

P(A∩B) = P(B) P(A|B)

P(A∩B) = ½ × ₅C₄ (⅘)⁴ (⅕)¹

P(A∩B) = 0.2048

Next, find P(~A∩B).

P(~A∩B) = P(B) P(~A|B)

P(~A∩B) = ½ × ₅C₄ (½)⁴ (½)¹

P(~A∩B) = 0.078125

Therefore, the probability that the coin is biased is:

P = P(A∩B) / (P(A∩B) + P(~A∩B))

P = 0.2048 / (0.2048 + 0.078125)

P = 0.723866749

The probability is approximately 72.4%.

3 0
3 years ago
Wo cards are drawn without replacement from standard deck of 52 cards. What is the probability that the first card is a club and
iren2701 [21]

Answer:

"13 / 204 ; No, they are dependent events "

Step-by-step explanation:

The probability of getting a club at first throw is simply total number of clubs divided by total number of cards in the deck.

Total clubs is 13

Total cards in deck is 52

Hence, P(clubs) = \frac{13}{52}

<em>Since the first card IS NOT replaced, the deck has now 51 cards. We want probability of diamond. There are still 13 diamonds, so probability of diamond now would be 13/51</em>

<em />

Hence, Probability that first card is a club and the second card is a diamond should be 13/52 MULTIPLIED by 13/51

P(1st Club, 2nd Diamond) = \frac{13}{52}*\frac{13}{51}=\frac{13}{204}

<u></u>

<u>Note: </u>They are dependent events since we are calculating probability without replacement. The first draw affected the total number of cards in the 2nd draw.

2nd answer choice is right.

8 0
3 years ago
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

3 0
3 years ago
Brayden, Howard, and Vincent are on the football team. During a game, Brayden gains 1 less than 5 times the average number of ya
Gnoma [55]

Answer:  If two pair is parallel then it has no solution.

Step-by-step explanation:

Since we have given that

Let the number of gained yards by each player be y

For the case of Brayden:

Equation will be

y=5x-1\\\\y-5x=-1

For the case of Howard :

Equation will be

y=5x+1\\\\y-5x=1

For the case of Vincent :

y=4x+5\\\\y-4x=5

Since First two equations are parallel so it has no solution.

Reason:

y-5x=1\\\\y-5x=-1\\\\\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\\\\\frac{1}{1}=\frac{5}{5}\neq \frac{1}{-1}

Hence, if two pair is parallel then it has no solution.


8 0
3 years ago
Read 2 more answers
A tennis ball travels at speed of 120 miles per hour.convert this rate to feet per second
Vanyuwa [196]
120\frac{mile}{hour}\\\\&#10;1 \ mile=5280\ feet\\&#10;1\ hour=3600\ seconds\\\\&#10;120\frac{mile}{hour}=120*\frac{5280}{3600}=\frac{120*5280}{3600}=\frac{633600}{3600}=176\frac{feet}{second}\\\\&#10;\boxed{120\frac{mile}{hour}=176\frac{feet}{second}}
4 0
3 years ago
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