Answer: -1.78
Step-by-step explanation:
As per given description, we have
Population proportion :
Sample size : n= 500
Sample proportion :
Test statistic for population proportion :-
Hence, the test statistic for this hypothesis test for a proportion= -1.78
Answer:
Between 150 and 450
Step-by-step explanation:
We are going to find the number by resolving a system of linear equations.
First we write the system equations :
Where C : children, S : students and A : adults
The equation represents the ''full attendance''
The second equation :
This equation represents the totaled receipts.
The system :
has the following associated matrix :
By performing elementary matrix operations we find that the matrix is equivalent to
The new system :
Working with the equations :
Our solution vector is :
For example :
If 0 adults attended ⇒ A = 0
This verify the totaled receipts equation :
150($3)+600($5) = $ 3450
A ≥ 0 ⇒ If A = 0 ⇒ C = 150
C = 150 is the minimum children attendance
From the equation :
S ≥0
600 - 2A ≥ 0
600 ≥ 2A
300≥ A
A is restricted to the interval [ 0, 300]
When A = 0 ⇒ C = 150
When A = 300 ⇒C = 150 + A = 150 + 300 = 450
Children ∈ [ 150,450]
With C being an integer number (including 0)
Also S and A are integer numbers (including 0)
Answer: ( i had a problem with this question too and i looked it up for a tutorial and i saw that some guy replied random things for points, so after i found the explanation, i came back here to give you a proper answer.)
Write 100 outside the circles to represent the students who do not have a job and are not in a club.
There are a total of 250 students, and 100 of them are not in the circles. So the remaining 150 must be included in the job and club circles.
The total number in the job subset is 130, and the total number in the club subset is 110. Together, this is 240 students, but there is only room for 150.
This means that 90 of the students are included in the intersection (both job and club).
The total number of students with jobs is 130, but 90 are already included in the intersection. Therefore, the difference of 40 students only have jobs.
The total number of students in a club is 110, but 90 have both jobs and attend a club. So the remaining 20 students must only attend a club.
Answer:
Null hypothesis: The average sales per salesperson of Carpetland is $8000 per week
Alternate hypothesis: The average sali per salesperson of Carpetland is greater than $8000 per week
Step-by-step explanation:
The null hypothesis is a statement deduced from a population parameter which is subject to testing
The alternate hypothesis is a statement that negates the alternate hypothesis which is accepted if the null hypothesis is tested to be false
Answer:
1.7
Step-by-step explanation:
1 + 7/10
= 1 + 0.7
= 1.7
2) All values that satisfy y<1/3-3 are solutions
3) All values that satisfy either equations are solutions
4) There are no solutions
(Edge 2020)
The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a graph of inequalities, y < 1/3x-1 and y < 1/3-3
The solution of the inequality A is the shaded area below the solid blue line and the solution of the inequality B is the shaded area below the solid red line,
That means all the solutions of inequality B will satisfy the inequality A also.
Hence, The solution of the system of linear inequalities is All values that satisfy y<1/3-3 are solutions. (option 2)
For more references on inequality, click;
#SPJ5
Answer:
{ 1,5}
Step-by-step explanation:
The intersection is what the two sets have in common
{1, 5, 10, 15}∩ {1, 3, 5, 7}
= { 1,5}
Answer:
{1,5}
Step-by-step explanation:
The intersection of the sets are all of the numbers that appear in both sets. In this case, the only numbers that appear in both are 1 and 5.