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I am Lyosha [343]

3 years ago

15

What is the parent function of a rational function?

1 answer:

Nitella [24]3 years ago

4 0

Answer:

The parent function of a rational function is f(x)=1x and the graph is a hyperbola . The domain and range is the set of all real numbers except 0 . Domain:{x | x≠0}Range:{y | y≠0} Excluded value. In a rational function, an excluded value is any x -value that makes the function value y undefined.

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A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round

Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 137, \sigma = 7$

Find the z-score for a data value of 121.

This is Z when X = 121. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{121 - 137}{7}$

$Z = -2.29$

The z-score for a data value of 121 is -2.29.

4 0

3 years ago

Read 2 more answers

Simplify the ratio 24:120

Vaselesa [24]

24: 1, 2, 3, 4, 6, 8, 12, 24
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The GCF of 24 and 120 is 24.

$24:120 / 24:24 = \\ 1:5$

3 0

3 years ago

Read 2 more answers

Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively. How many times will t

Evgen [1.6K]

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3 6 10 12 15

2 | 3 3 5 6 15

3 | 3 3 5 3 15

5 | 1 1 5 1 5

| 1 1 1 1 1

$LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5$

$LCM(3, 6, 10, 12,15)=60$

So, the bells will ring together after every 60 seconds i.e. 1 minutes.

i.e. in 1 minute they rand together 1 time.

We know, 1 hour = 60 minutes

So, in 60 minute they rang together 60 times.

Therefore, 60 times will they ring together at the same second in one hour excluding the one at the end.

6 0

3 years ago

(5 1/6-x)*2 7/10-1 3/14=3 2/7

avanturin [10]

Answer:

3.5

Step-by-step explanation:

4 0

2 years ago

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

Find out f'(x) and f''(x)
Then set f'(x)=0 which gives x=a.
f''(a) > 0 , then at x=a , f(x) has minimum value.
If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

$h=-16t^2+32t$

Differentiating with respect to t

$h'=-32 t+32$

Again differentiating with respect to t

$h''=-32$

Next, we set h'=0

$-32 t+32=0$

$\Rightarrow 32t=32$

$\Rightarrow t=1$

Now $h''|_{t=1}=-32$

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

= -16+32

=16 feet

4 0

3 years ago