The slope can be found by the "rise over run", that is, is the change in variable y divided by the change in variable x.
In this question,
Substituting the values:
Answer: 0.06 feet per feet of highway.
How to solve your problem
Topics: Algebra, Polynomial
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
Solve
1
Find common denominator
7
3
+
2
=
−
1
\frac{7x}{3}+2=-1
37x+2=−1
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
2
Combine fractions with common denominator
7
3
+
3
⋅
2
3
=
−
1
\frac{7x}{3}+\frac{3 \cdot 2}{3}=-1
37x+33⋅2=−1
7
+
3
⋅
2
3
=
−
1
\frac{7x+3 \cdot 2}{3}=-1
37x+3⋅2=−1
3
Multiply the numbers
7
+
3
⋅
2
3
=
−
1
\frac{7x+{\color{#c92786}{3}} \cdot {\color{#c92786}{2}}}{3}=-1
37x+3⋅2=−1
7
+
6
3
=
−
1
\frac{7x+{\color{#c92786}{6}}}{3}=-1
37x+6=−1
4
Multiply all terms by the same value to eliminate fraction denominators
7
+
6
3
=
−
1
\frac{7x+6}{3}=-1
37x+6=−1
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
5
Cancel multiplied terms that are in the denominator
3
(
7
+
6
3
)
=
3
(
−
1
)
3(\frac{7x+6}{3})=3\left(-1\right)
3(37x+6)=3(−1)
7
+
6
=
3
(
−
1
)
7x+6=3\left(-1\right)
7x+6=3(−1)
6
Multiply the numbers
7
+
6
=
3
(
−
1
)
7x+6={\color{#c92786}{3}}\left({\color{#c92786}{-1}}\right)
7x+6=3(−1)
7
+
6
=
−
3
7x+6={\color{#c92786}{-3}}
7x+6=−3
7
Subtract
6
6
6
from both sides of the equation
7
+
6
=
−
3
7x+6=-3
7x+6=−3
7
+
6
−
6
=
−
3
−
6
7x+6{\color{#c92786}{-6}}=-3{\color{#c92786}{-6}}
7x+6−6=−3−6
8
Simplify
Subtract the numbers
7
=
−
9
7x=-9
7x=−9
9
Divide both sides of the equation by the same term
7
=
−
9
7x=-9
7x=−9
7
7
=
−
9
7
\frac{7x}{{\color{#c92786}{7}}}=\frac{-9}{{\color{#c92786}{7}}}
77x=7−9
10
Simplify
Cancel terms that are in both the numerator and denominator
=
−
9
7
x=\frac{-9}{7}
x=7−9
Solution
=
−
9
7
Answer:
A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.
Step-by-step explanation:
Type II Error:
A type II error happens when there is a non-rejection of a false null hypothesis.
In this question:
The null hypothesis is H0:μ=498.
Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.
Answer:
Step-by-step explanation:
1st box: 140
2nd box: 140
3rd box: 35
