Answer: There are 12 white and blue cars more than silver and red cars
Number of white cars: n1=25
Number of blue cars: n2=17
Number of white and blue cars: n3=n1+n2=25+17→n3=42
Number of silver cars: n4=21
Number of red cars: n5=9
Number of silver and red cars: n6=n4+n5=21+9→n6=30
How many more white and blue cars are there than silver and red cars?
n=?
n=n3-n6=42-30→n=12
Answer: There are 12 white and blue cars more than silver and red cars.
Answer:
The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.
Step-by-step explanation:
Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:
- As one variable increases, the other variable increases too. In this case, the correlation coefficient is high and positively correlated. As the correlation coefficient is near 1, the correlation between two quantitative variables is almost perfect.
- As one variable decreases, the other variable decreases too. In this case, the correlation coefficient is also high, but negatively correlated. As the correlation coefficient is near -1, this correlation is almost perfect for this case.
- There could be no correlation at all. In this case, the correlation coefficient is near a <em>zero value</em>.
As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.
Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.
It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.
Answer:
Step-by-step explanation:
→ We know that co-interior angles add up to 180°, so we can set up an equation
x + 17 + 4x + 3 = 180
→ Collect the x terms
5x + 17 + 3 = 180
→ Collect the integers
5x + 20 = 180
→ Minus 20 from both sides to isolate 5x
5x = 160
→ Divide both sides by 5 to isolate x
x = 32
⇒ Now we know the value of x, we can substitute it in back into m∠f because we know angles on a straight line add up to 180°
4x + 3 when x = 32 ⇔ 4 × 32 + 3 ⇔ 128 + 3 ⇔ 131
The internal angles of a triangle always add up to 180 degrees.