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3 years ago

A) Enter the corresponding values on the quadratic formula:

Mathematics

1 answer:

ollegr [7]3 years ago

7 0

The answer is a = 0, b = -5, and c= 39.

Step-by-step explanation:

step 1 :

A quadratic equation means that it should have at least one squared term.

step 2 :

The standard form is ax² + bx + c = 0.

step 3 :

The solution to the quadratic equation is usually written in the form

x = (-b ± √(b2 − 4ac))/(2a)

where a = coefficient of x^2

b = coefficient of x

c = constant term

step 4 :

The given equation is -5x +32.

∴ The answer is a = coefficient of x^2 = 0

b = coefficient of x = -5

c = constant term = 39

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Answer plz thanks !!!

LUCKY_DIMON [66]

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3 years ago

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Pls help I'm bad at math v.v Lines m and n are parallel.

Eva8 [605]

Answer:

The measure of angle 1 is 55.

Step-by-step explanation:

The top angle= 75 because of the vertical angle theorem

The right angle= 50 because of the alternate exterior angle theorem

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3 years ago

Tommy and his wife went to the store and bought groceries there's some total was $143.50 if the sales tax was 8% what was the to

Nutka1998 [239]

Answer:

154.98

Step-by-step explanation:

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3 years ago

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5. An attacker swings a board with a mass of 2 kg toward a victim. The acceleration is 10 m/s2 when the board hits the victim. H

suter [353]

The force exerted on victim is 20 newton

Solution:

An attacker swings a board with a mass of 2 kg toward a victim

The acceleration is 10 $m/s^2$ when the board hits the victim

To find: Force exerted on victim

The force is given by formula:

$F = mass \times acceleration$

From given,

$mass = 2 \text{ kg }\\\\Acceleration = 10$ $m/s^2$

Substituting the values in formula,

$Force = 2 \times 10 = 20$

Thus force exerted on victim is 20 newton

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3 years ago

A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume

mixer [17]

Answer:

(a) 0.4096

(b) 0.64

Step-by-step explanation:

The probability that the player wins is,

$P(W)=0.80$

Then the probability that the player losses is,

$P(L)=1-P(W)=1-0.80=0.20$

The player is playing the video game with 4 different opponents.

It is provided that when the player is defeated by an opponent the game ends.

All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)

(a)

The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.

The probability that the player defeats all four opponents in a game is,

P (Player defeats all 4 opponents) = $P(W)\times P(W)\times P(W)\times P(W)=[P(W)]^{4} =(0.80)^{4}=0.4096$

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b)

The probability that the player defeats at least two opponents in a game is,

P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) = $1-P(L)-P(WL)$

$=1-(0.20)-(0.80\times0.20)\\=1-0.20-0.16\\=0.64$

Thus, the probability that the player defeats at least two opponents in a game is 0.64.

(c)

Let X = number of times the player defeats all 4 opponents.

The probability that the player defeats all four opponents in a game is,

P(WWWW) = 0.4096.

Then the random variable $X\sim Bin(n=3, p=0.4096)$

The probability distribution of binomial is:

$P(X=x)={n\choose x}p^{x} (1-p)^{n-x}$

The probability that the player defeats all the 4 opponents at least once is,

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)

$=1-[{3\choose 0}(0.4096)^{0} (1-0.4096)^{3-0}]\\=1-[1\times1\times (0.5904)^{3}\\=1-0.2058\\=0.7942$

Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.

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3 years ago