The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
Answer:
option b
6 C 2 + 6
Step-by-step explanation:
Given in the question that,
number of pink beans = 87
number of purple beans = 74
number of white beans = 35
number of black beans = 70
number of orange beans = 25
number of green beans = 47
<h3>Step 1</h3>
if two beans selected are different
6 C 2
(6 colours of beans)
<h3>Step 2</h3>
if two beans selected are same
6 C 1 = 6
(6 colours of beans)
<h3>Step 3 </h3>
total sample space will be
6 C 2 + 6
Answer:
No
Step-by-step explanation:
Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.
Answer:
m∠1 = 93.5°
Step-by-step explanation:
By theorem of intersecting chords inside a circle,
If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.
m∠1 = 
= 
= 93.5°
Therefore, measure of angle 1 is 93.5°.
It is given here that there is 1/3 probability of professional baseball player will get a hit. Hence if at least three hits are gained out of 5 attempts, the calculation goes: 5C3* (1/3)^3*(2/3)^2 + 5C4* (1/3)^4*(2/3)^1 +5C5 *<span>(1/3)^5*(2/3)^0 equal to 0.21. </span>