I will show you how to do the first one.....we are finding the GCF...the largest number that goes into each number (same for variables)
1.) 20yx , 80x³ ( factor each number and variable)
20 = 2, 4, 5, 10, 20
y = y
x = x
80 = 2, 4, 5, 8, 10, 16, 20, 40, 80
x³ = x, x, x
what is the largest number that 20 and 80 have in common? 20...
how about the variables? x
so, the Greatest Common Factor (GCF is 20x)
Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:
(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)
The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Answer:
$210
Step-by-step explanation:
Cost of 44kg onions = $308
Cost of 1kg onion = 
Cost of 30kg onions = 
Use photo math it’s a great tool
Answer:
Rita's pay for Monday is $158.
Step-by-step explanation:
Rita's hourly pay for an 8-hour shift she works everyday is, $16.
If she works overtime she gets paid 1.5 times her hourly pay for every extra hour.
That is, if she works (8 + <em>x</em>) hours a day then the pay for the <em>x</em> hour is, 1.5<em>x</em>.
Rita's working hours on Monday is:
- Started from 8:15 AM to 12:45 PM ⇒ 4 hours 30 minutes.
- 45 minutes lunch break ⇒ 12:45 PM + 45 minutes = 1:30 PM
- Worked from 1:30 PM to 6:15 PM ⇒ 4 hours 45 minutes
It is provided that Rita does not get paid for lunch hour.
Rita's pay for Monday is computed as follows:
= (8:15 AM - 12:45 PM) + (1:30 PM - 6:15 PM)
= (4 hours 30 minutes) + (4 hours 30 minutes)
= (4 + 4) hours + (30 + 45) minutes
= (8 × 16) + (75 minutes × 16 × 1.5)
= 128 + (1.25 hours × 24)
= 128 + 30
= 158
Thus, Rita's pay for Monday is $158.
