Answer:
x=4
Step-by-step explanation:
It suffices to equate any two sides and then check whether the solution is valid for the third side.
Taking 2x and 3x-4 and equating:
2x = 3x-4
x = 4
This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:
x+4=4+4=8
which indeed works out confirming x=4 being a valid solution
Answer:
1890
Step-by-step explanation:
Loss = 11/2 % = 5.5 %
Cost price = 2000
Loss = 5.5% of cost price
= 5.5% * 2000
Selling price = Cost price - loss
= 2000 - 110
= 1890
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
Answer:
v=6
Step-by-step explanation:
2v is positive so keep it
then 2v=12
v=6
Answer:
<u>-4 </u>
Step-by-step explanation:
This is the slope-intercept form of a line equation.
This means that -5/3 is the slope of the line.
It also means that -4 is the y intercept.
<u>-4 is the y intercept.</u>
