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BaLLatris [955]
2 years ago
12

Which of the following is a parent function

Mathematics
2 answers:
agasfer [191]2 years ago
7 0

Answer:

the last one


Step-by-step explanation:


podryga [215]2 years ago
3 0

Answer:  

The correct option is D

Step-by-step explanation:

\text{A. f(x) = }x^4 +3

The parent function can be x but in this case it is translated so the translated function cannot be a parent function.

\text{B. f(x) = }2\times 3^x

The parent function can be exponential in this case but in this case it is translated so the translated function cannot be a parent function.

\text{C. f(x) = }2\times e^{2x}

The parent function can be exponential in this case but in this case it is translated so the translated function cannot be a parent function.

\text{D. f(x) = }e^{x}

In this case the exponential is the parent function because it is not translated instead it is in its base form.

Therefore, The correct option is D

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The mean life of a television set is 119119 months with a standard deviation of 1414 months. If a sample of 7474 televisions is
Pepsi [2]

Answer:

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 119, \sigma = 14, n = 74, s = \frac{14}{\sqrt{74}} = 1.6275

What is the probability that the sample mean would differ from the true mean by less than 1.11 months?

This is the pvalue of Z when X = 119 + 1.1 = 120.1 subtracted by the pvalue of Z when X = 119 - 1.1 = 117.9. So

X = 120.1

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{120.1 - 119}{1.6275}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 117.9

Z = \frac{X - \mu}{s}

Z = \frac{117.9 - 119}{1.6275}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the sample mean would differ from the true mean by less than 1.1 months

3 0
3 years ago
How do you find the greatest common denominator, when comparing two numbers? Explain your thought process, in the example I prov
maksim [4K]

Answer:

20 is the greatest common denominator. You can find this by listing the factors of each number. The highest number that can fit into both individual numbers is the common denominator. Since 40 is just 20 doubled, and 20 is just 20 once, it fits into both numbers and is also the highest number that can fit.

4 0
3 years ago
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5
Sauron [17]
Since there is no graph presented, I will give an example. For instance you are given, 2n is greater than 30 and 5n is less than 100 and you are asked to find the value of n. This is an example of an inequality problem. You are given 2n is greater than 30 and 5n is less than 100. You are asked to find for the value of n. You need to know that greater means this sign ‘>’ and lesser means ‘<’ sign. So if you have 2n is greater than 30, this is equal to 2n>30 and 5n is less than 100 is 5n<100. The ‘and’ means equal sign ‘=’. So,

2n>30+5n<100

2n-5n

<span> </span>

8 0
3 years ago
Find the value of <br> x<br> x<br> that makes the expressions equivalent.<br> 2(x+9); 30+18
Vlada [557]

Answer:

x=15

Step-by-step explanation:

We are given the equations 2(x+9), 30+18 to search for a value of x that yields an equivalent statement.  2(x+9)=30+18\\2(x+9)=48\\x+9=24\\x=15.

7 0
2 years ago
Read 2 more answers
Which transformation shows that the two given circles are similar?
gregori [183]
Circle A -- center(2, 0), radius 8 Circle A' -- center(-1, 5), radius 3
3 0
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