Answer:
2³·5
Step-by-step explanation:
5·2·2·2 = 2³·5
Exponents are how many a number is multiplied by itself. 2 is multiplied by itself 3 times, so it is 2 to the 3rd power.
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
Answer:
$56
Step-by-step explanation:
12% of 50 is 6.
50+6=56
$56
Hope this helped! :)
Answer:
Population Distribution: The population is the whole set of values, or individuals, you are interested in. For example, if you want to know the average height of the residents of India, that is your population, ie, the population of India.
Population characteristic are mean (μ), Standard deviation (σ) , proportion (P) , median, percentiles etc. The value of a population characteristic is fixed. This characteristics are called population distribution. They are symbolized by Greek characters as they are population parameters.
Sample Distribution: The sample is a subset of the population, and is the set of values you actually use in your estimation. Let’s think 1000 individual you have selected for your study to know about average height of the residents of India. This sample has some quantity computed from values e.g. mean (x ), Standard deviation (s) , sample proportion etc. This is called sample distribution. The mean and standard deviation are symbolized by Roman characters as they are sample statistics.
Answer:
we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
Step-by-step explanation:
We are given;
Population mean; μ = 31.2
Sample mean; x¯ = 31.4
Sample size; n = 230
standard deviation; σ = 2.5
Significance level = 0.05
Let's define the hypotheses;
Null hypothesis; H0: μ = 31.2
Alternative hypothesis; Ha: μ ≠ 31.2
Formula for the test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (31.4 - 31.2)/(2.5/√230)
z = 0.2/0.4564
z = 0.44
From online p-value from z-score calculator attached and using;
z = 0.44; two tailed hypothesis; significance value = 0.05
We have;
P-value = 0.659937
This p-value is greater than the significance value and thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the jeep has an incorrect manufacturer's MPG rating
