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1 year ago

What are the domain and range of an exponential parent function? Help please

Mathematics

1 answer:

a_sh-v [17]1 year ago

8 0

The domain and the range of an exponential parent function, that is, y = eˣ are equal to all real numbers and non-negative numbers, respectively. (Correct choice: C)

<h3>How to determine the domain and range of an exponential function</h3>

In this problem we should determine what an exponential parent function is. The most common exponential functions have the following form:

$y = A\cdot e^{B\cdot x} + C$ (1)

(1) is an exponential parent function for A = 1, B = 1 and C = 0.

All functions are relations with a domain and range, the domain is an input set related to the range, that is, an output set. In the case of an exponential parent function, the domain and the range of the expression are $\mathbb{R}$ and y ≥ 0, respectively. (Correct choice: C)

To learn more on exponential functions: brainly.com/question/11487261

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Add 6 to the quotient of j and k

BARSIC [14]

Answer:

j/k + 6

Step-by-step explanation:

Add 6 to the quotient of j and k comes out to:

j/k + 6

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3 years ago

When seven basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly select

irakobra [83]

Answer:

1 / 5040

Step-by-step explanation:

The number of ways that 7 basketball players can be arranged is 7! = 5040. Only one of these arrangements is alphabetical. So the probability is 1/5040.

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3 years ago

Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°

prisoha [69]

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

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3 years ago

Read 2 more answers

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Lera25 [3.4K]

a= -1, b= 2 & c= -3

abc= -1 x 2 x -3

= 6

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2 years ago

Mopeds (small motorcycles) are very popular in Europe because of their mobility, ease of operation, and low cost. An article2 de

Misha Larkins [42]

Answer:

a) $P(X$

And we can find this probability using the normal standard table:

$P(z$

b) $P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

c) $P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Assuming the following questions:

Part a: What is the probability that the maximum speed is at most 50 km/h?

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(46.8,1.75)$

Where $\mu=46.8$ and $\sigma=1.75$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table:

$P(z$

Part b: What is the probability that maximum speed is at least 48 km/h?

$P(X>48)=P(\frac{X-\mu}{\sigma}>\frac{48-\mu}{\sigma})=P(Z>\frac{48-46.8}{1.75})=P(Z>0.686)=1-P(z$

And we can find this probability using the normal standard table and the complement ruel:

$P(Z>0.686)=1-P(z$

Part c:What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

$P(46.8-1.5*1.75$

And we can find this probability with this difference:

$P(-1.009$

And in order to find these probabilities we can use the tables for the normal standard distribution, excel or a calculator.

$P(-1.009$

6 0

3 years ago