Answer:
Step-by-step explanation:
we have
5x+6y= -11
5x-2y=-3
we will multiply first equation with -1
-5x-6y=11 and add it with the second
5x-2y=-3
-8y=8
y=-1
we go to our original equation and replace y=-1
5x-6=-11
5x=-11+6
5x=-5
x=-1
Answer:
<em>184,499 will fit, Yes</em>
Step-by-step explanation:
<u>Proportions</u>
We'll use proportions to answer the question and find the number of students fit into a building of 300 ft x 300 ft. The area of the building is
We are given a factor of 2.05 students per square feet, thus the number of students that fit into the building is
Since 184500 is greater than 142551 people required, they easily fit into that space.
The closest answer is
184,499 will fit, Yes
Answer:
Friday=$10 Saturday=$20 Sunday=$40
Step-by-step explanation:
On Friday we can estimate that he earnt $10 so twice as many as that is $20 so on Saturday he could of earnt that much. Finally what is 20 half of? 40 so 10+20+40=$70
A) See picture for the table.
To make the table, multiply 47774 by 1.5% to get total that have diabetes and multiply 5855 by 2.5% to get total unemployed that have it, then using subtraction fill in the other squares of the table.
B)
Hypothesis:
H0: No association between employment and diabetes.
H1: Association between the two
Using a graphing calculator or Excel, run a chi-test.
Chi squared equals 31.844 with 1 degrees of freedom.
The two-tailed P value is less than 0.0001
With this information we can reject the null hypothesis and conclude there is an association between diabetes and employment.
C)
Although there is a statistical significance, there really is no practical significance between an incidence rate of 1.5 or 2.5%
Answer:
Problem 2):
which agrees with answer C listed.
Problem 3) : D = (-3, 6] and R = [-5, 7]
which agrees with answer D listed
Step-by-step explanation:
Problem 2)
The Domain is the set of real numbers in which the function (given by a graph in this case) is defined. We see from the graph that the line is defined for all x values between 0 and 240. Such set, expressed in "set builder notation" is:
Problem 3)
notice that the function contains information on the end points to specify which end-point should be included and which one should not. The one on the left (for x = -3 is an open dot, indicating that it should not be included in the function's definition, therefor the Domain starts at values of x strictly larger than -3. So we use the "parenthesis" delimiter in the interval notation for this end-point. On the other hand, the end point on the right is a solid dot, indicating that it should be included in the function's definition, then we use the "square bracket notation for that end-point when writing the Domain set in interval notation:
Domain = (-3, 6]
For the Range (the set of all those y-values connected to points in the Domain) we use the interval notation form:
Range = [-5, 7]
since there minimum y-value observed for the function is at -5 , and the maximum is at 7, with a continuum in between.