Answer:
The sample would double in 9 hours
Step-by-step explanation
The number of hours it will take for the sample to double can be found using the 72 rule.
The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:
number of hours =72/8=9 hours
The number of hours it would take the sample to double is 9 hours as computed above.
Answer:
i think you add both fabric prices then divide with 5.50
Answer: The required inequality is 
and its solution is 
Step-by-step explanation: Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Also, Heloise has written 
as many articles as Mustafa has and Gia has written 
as many articles as Mustafa has.
We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper. Also, to solve the inequality.
Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have
And the solution of the above inequality is as follows :
Thus, the required inequality is and its solution is
Answer:
There is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Step-by-step explanation:
We shall need to formulate the hypotheses but first we need to understand the claim in context of this question. The claim is that the standard deviation of time all women spend washing their hair in the morning is 15 seconds. In mathematical notation, this claim can be written as follows;
σ = 15
Clearly the claim contains an equality sign and thus it qualifies to be our null hypothesis;
H0: σ = 15
The complement of the above hypothesis will be our alternative hypothesis;
Ha: σ ≠ 15
We are then informed that the initial conclusion of the test fails to reject the null hypothesis. In short this implies that we fail to reject the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds since this claim is our null hypothesis. If we fail to reject a claim in hypothesis testing, this implies that there is sufficient evidence to support the claim. Therefore, there is sufficient evidence to support the claim that the standard deviation of time all women spend washing their hair in the morning is 15 seconds
Answer:
C. 905 in³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
We know that the volume of a sphere is expresses as
V= 4/3πr³
Given that the diameter of the sphere is 12inches
Radius r= 12/2= 6 inches
Substituting our radius we can solve for the volume
V=4/3(3.142*6³)
V= (4*3.142*216)/3
V= 2714.68/3
V= 904.9in³
Approximately V= 905in³
