Answer:
the common factor of all the numbers is 5
Answer:
208
Step-by-step explanation:
Given that;
Given that;
y= a(1 - b)^t
Where;
wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
To obtain the constant b,
y= ae^-bt
Substituting values;
1000 = 3000 e^-b(50)
1000/3000 = e^b(50)
0.33 = e^b-(50)
ln (0.33) = ln(e^b(-50))
-1.1 = -50b
b= 1.1/50
b= 0.022
After two hours or 120 minutes;
y= 3000(1 - 0.022)^120
y= 207.8661772
y= 208
Answer:
Step-by-step explanation:
Consider an equation: 
Here, m is the slope of the line and c is the y-intercept.
Given equation is 
Here, slope is 
As product of slopes of two perpendicular lines is equal to 
, slope of the required line is 
.
Let 
Equation of the required line is 
Answer:
A one-sided, two-sample t-test
Step-by-step explanation:
In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.
Answer:
Step-by-step explanation:
This is an equilateral triangle.
The altitude bisects the 60 degree angle, so a=30
b=60 since its an interior angle of the isosceles triangle.
e = 4 since the two triangles formed by the altitude are congruent.
c = 8 since the side length is 4 + 4 = .
f = 4sqrt3 by the properties of 30 60 90 triangles.
