Write an algebraic expression to model the given context.Give your answer in simplest form. (please explain)
2 answers:
Answer:
The required expression is 0.85p.
Step-by-step explanation:
Consider the provided information.
Let the original price is p.
Now it is given that we need to write an expression that the original price p of an item less a 15% discount.
15% of p can be written as:
The original price p of an item less a 15% discount.
This can be written as:
p-0.15p = 0.85p
Hence, the required expression is 0.85p.
You might be interested in
a) Corresponding angles of similar figures are congruent, so
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is
c) Since the scale factor is 5/2,
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
In order to find XY, we have
So, the ratio for the sine is
Answer:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.
Step-by-step explanation:
Data given and notation
n=115 represent the random sample taken
X=46 represent the number of people that have traded in their old car.
estimated proportion of people that have traded in their old car
is the value that we want to test
represent the significance level
Confidence=90% or 0.9
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.48.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that have traded in their old car is lower than 0.48 or 48%.