Answer:
As the model is shown below.
As per model a thing is divided into five parts.There are three things and each one of them is being divided into five equal parts.
The value of fifth part of each of them is 1/5.
If we consider each part of a thing as one,
So, total number of parts = 15
Total thing=3
So, the answer of the above model is 3÷ 15.
Out of all the options which are 15÷15 , 3÷115 , 3÷15, 15÷15 →3÷15 is correct.
Answer:
Step-by-step explanation:
here
Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula
where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet
Radius = 7.63 feet
Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved
Answer:
Null hypothesis:
Alternative hypothesis:
(1)
Since 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 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .
Step-by-step explanation:
1) Data given and notation
n=778 represent the random sample taken
X=492 represent the people that chose a window seat.
estimated proportion of people that chose a window seat.
is the value that we want to test
represent the significance level
Confidence=99% or 0.99
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the majority of adults prefer window seats when they fly:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, 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
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) 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 right tailed test the p value would be:
5) Conclusion
Since 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 1% of significance the proportion of adults prefer window seats when they fly is significantly higher than 0.5 .