Answer:
9x -2
Step-by-step explanation:
(7x + 3) + (4x - 1) - (2x + 4)
Distribute the minus sign
(7x + 3) + (4x - 1) - 2x - 4
Combine like terms
7x+4x-2x +3 -1-4
9x -2
Answer:
So then the minimum sample to ensure the condition given is n= 38
Step-by-step explanation:
Notation
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
ME = 4 the margin of error desired
Solution to the problem
When we create a confidence interval for the mean the margin of error is given by this formula:
(a)
And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is
. And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got
, replacing into formula (b) we got:
So then the minimum sample to ensure the condition given is n= 38
Answer:
f
Step-by-step explanation:
A right angled triangle has one angle equal to 90°
an obtuse angle triangle has one angle greater tan 90°
a) An o and right-angled triangle btuse angled triangle can have one angle equal.
b) R and O are not equivalent by definition
c) subset of R and Oare not all triangles as R and O are categories of all triangles. R and O are subset of all triangles
d) Acute triangles have all acute angles. So subset of R and O can't be all acute traingles
e) All triangles with two acute angles are may or may not have third angle as obtuse angle or 90° angle
f) none of the above
Let x = taxable income = difference of gross income and deductions T = income tax paid = amount sent to the government Use the "filing jointly" chart on the right side. You'll use the second row of that chart since subtracting $72,380.90-$8,295.00 leads to a value between 16750 and 68000. That second row turns into this equation T=1675+0.15(x-16750<span>) w</span>here <span>16750<x≤68000</span>
Answer:
14.2 inches
Step-by-step explanation:
Given
1 inch = 14 feet
Required
Find the equivalent of 199 feet
Write out the given expression;
1 inch = 14 feet
Divide both sides by 14



Let x represent the equivalent of 199 feet in inches;
Such that:


Substitute 
becomes



<em>x = 14.2 inches (Approximated)</em>