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4 years ago

Identify the asymptote(s) of this function: y=5/(x-4)+1

1 answer:

6 0

$y= \frac{5}{(x-4)+1}$
$y= \frac{5}{x-3}$
So you take the denominator and compare to zero.
$x-4+1=0$
$x-3=0$
$x=3$
Then the horizontal asymptote is y = 0

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Is negative 1/3 less than 1/5

nika2105 [10]

Negatives are always smaller then positives because negatives are less then 0. So, yes, -1/3 is less then 1/5

3 0

3 years ago

Im confused and i need help please help

denis23 [38]

Answer:

Step-by-step explanation:

8 0

3 years ago

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with

tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

Let X = length of time that juries deliberate on a verdict for civil trials

So, X ~ N( $\mu = 12.56, \sigma^{2} = 6.7^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 12.56 hours

$\sigma$ = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X $\leq$ 12)

P(X < 15) = P( $\frac{X-\mu}{\sigma}$ < $\frac{15-12.56}{6.7}$ ) = P(Z < 0.36) = 0.64058

P(X $\leq$ 12) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{12-12.56}{6.7}$ ) = P(Z $\leq$ -0.08) = 1 - P(Z < 0.08)

= 1 - 0.53188 = 0.46812

Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.

7 0

4 years ago

A)250cm =______ mm. b)5000m = ____ km. c) 200km =______cm.

Liono4ka [1.6K]

Answer:

a = 2500mm

b = 5km

c = 2e+7

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

15. Divide the polynomial x^3 + x^2 - 2x + 3 by (x - 1).

Stels [109]

Answer:

x² + 2x + [3\x - 1]

Step-by-step explanation:

Since the divisor is in the form of x - c, use what is called Synthetic Division. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

1| 1 1 -2 3

↓ 1 2 0

------------------

1 2 0 3 → x² + 2x + [3\x - 1]

You start by placing the c in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes 2x, and the remainder of 3 is set over the divisor, giving you the other factor of x² + 2x + [3\x - 1].

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

5 0

3 years ago