Answer:
2.8 < x < 5.8
Step-by-step explanation:
We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:
a + b > c
b + c > a
c + a > b
Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:
a + b > c ⇒ 4.1 + 1.3 > x ⇒ 5.8 > x
b + c > a ⇒ 1.3 + x > 4.1 ⇒ x > 2.8
c + a > b ⇒ x + 4.1 > 1.3 ⇒ x > -2.8
Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.
Thus, the range of possible sizes for x are:
2.8 < x < 5.8
<em>~ an aesthetics lover</em>
Answer:
1
Step-by-step explanation:
A common factor is a number such that both 17 and 25 are divisible by that number. In this case, the greatest common factor of 17 and 25 is 1.
Answer:
0.156
Step-by-step explanation:
Given that :
% of Explained variance by certain predictors of first year college grade :
SAT 11 scores = 17%
GPA = 15.6%
SAT 1 = 13.3%
Fitting a least squares line :
y = First year college GPA
x = high school GPA
THE r² value which is Coefficient of determination is the percentage of explained variance given by the regression line. The r² value of GPA will the as given above 15.6%
r² = 15.6% = 15.6/100 = 0.156
Answer:
-11/20 or -0.55
Step-by-step explanation:
1/5 = 4/20
3/4 = 15/20
4/20 - 15/20 = -11/20
To find the quotient you do 6/ (-1/2). You keep, change, flip when dealing with fractions.
