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2 years ago

What’s the vertex of this equation?

Mathematics

1 answer:

statuscvo [17]2 years ago

3 0

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Do you see the h and k in your equation?

-h = -(-2) = 2

We see that k = -4.

Our vertex is (2, -4).

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Please help with this question

ELEN [110]

Answer:

r^2 * 1/s^4 * t^5

Step-by-step explanation:

r^2 * 1/s^4 * t^5

s^-4 = 1/s^4

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3 years ago

6. Riley let his friend borrow $12,750. He wants to be paid back in 4¾ years and is going to charge his friend a 5.5% interest r

Talja [164]

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3 years ago

-6p + 43=13 What is p?

son4ous [18]

Subtract 43 from both sides
-6p=-30

Divide both sides by -6
p=5

Final answer: p=5

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3 years ago

If you flip the five coins, and the probability of one coin being "tails" is 0.50, what is the probability of getting "tails" on

jenyasd209 [6]

Answer: 0.03125

Step-by-step explanation:

We know that the probability of getting a tail , we toss a fair coin = 0.5

Given : Total number of trials = 5

Using binomial probability formula :

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trails, n is total number of trials and p is the probability of getting success in each trial.

The probability of getting "tails" on all five coins :_

$P(x=5)=^5C_5(0.5)^5(1-0.5)^0=(1)(0.5)^5=0.03125$

Hence, the probability of getting "tails" on all five coins =0.03125

8 0

3 years ago

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(

mel-nik [20]

Answer:

(a)

c=1/2

cdf is $F(x) = x^2$

Step-by-step explanation:

Remember that if $f$ is the pdf of a random variable X .

$\int\limits_{-\infty}^{\infty} f(x) \,dx = 1$

Then,

(a)

$\int\limits_{-\infty}^{\infty} 4xc \,dx = \int\limits_{0}^{1} 4xc \, d x = 2c = 1$

Therefore

c=1/2

and

$f(x)=2x$

then to compute the cdf, we have

$F(x) = P(X \leq x) = \int\limits_{-\infty}^{x} 2y \,dy = \int\limits_{0}^{x} 2y \, dy = x^2$

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2 years ago