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3 years ago

Solve the quadratic by factoring. x^2-5x-31=5

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

$x = - 4\: or \: x = 9$

Step-by-step explanation:

make one side equal to zero:

${x}^{2} - 5x - 36 = 0$

find two factors that multiply to -36 and add to -5 (-9 & 4)

${x }^{2} - 9x + 4x - 36 = 0$

factorise

$x(x - 9) + 4(x - 9) = 0$

$(x + 4)(x - 9) = 0$

solve for x

$x = - 4 \: or \: x = 9$

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a statistics professor finds that when he schedules an office hour at the 10:30a, time slot, an average of three students arrive

Veseljchak [2.6K]

Answer:

The probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

Step-by-step explanation:

Let X = number of students arriving at the 10:30 AM time slot.

The average number of students arriving at the 10:30 AM time slot is, λ = 3.

A random variable representing the occurrence of events in a fixed interval of time is known as Poisson random variables. For example, the number of customers visiting the bank in an hour or the number of typographical error is a book every 10 pages.

The random variable X is also a Poisson random variable because it represents the fixed number of students arriving at the 10:30 AM time slot.

The random variable X follows a Poisson distribution with parameter λ = 3.

The probability mass function of X is given by:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,3...,\ \lambda>0$

Compute the probability of X = 2 as follows:

$P(X=2)=\frac{e^{-3}3^{2}}{2!}=\frac{0.0498\times 9}{2}=0.2241$

Thus, the probability that in a randomly selected office hour in the 10:30 am time slot exactly two students will arrive is 0.2241.

6 0

3 years ago

Read 2 more answers

400.04 in expanded form

vampirchik [111]

The answer is 400 + .04. Or if you want a big answer, then it would be. 400 + 00 + 0 + .0 + .04.

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2 years ago

F(x) = -7-3x + 6x^3+x^2

Monica [59]

Answer: (0,-7)

Steps: To find y-intercept, substitute x=0

f(0)= -7-3×0+g×0^3 +0^2

Multiply & Evaluate powers

f(0)=-7-0+6×0+0

Remove zeros. Multiply.

f(0) -7+6×0 → f(0) -7+0

Remove the zero

f(0)=-7

Hope this helps ʕ•ᴥ•ʔ

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2 years ago

What should be the top item on a list of your life goals? A. A goal that's financially feasible B. A goal that's most important

Feliz [49]

The top item on a list of your life goals should be B. a goal that's most important to you. You shouldn't care much for what other people want from you - if you know what you want and need, you should make that your priority and try to achieve your life goals. It doesnt matter whether you can manage that financially, or whether it's going to be easy - if you really want it, you are going to try your best in order to achieve it.

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3 years ago

Read 2 more answers

X(4-k)=p solve for k

SVEN [57.7K]

Distribute
4x-kx=p
minus 4x both sides
-kx=p-4x
divide both sides by -x
$k=\frac{p-4x}{-x}$
$k=\frac{4x-p}{x}$

7 0

2 years ago