Refrection across the y-axis changes the function to y = |-x|.
Vertical stretch by a factor of 1.5 changes the graph to y = 1.5|-x|
Shifting the graph by 4 units downward changes the graph to y = 1.5|-x| - 4
Required equation is y = 1.5|-x| - 4
Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
The ratio of boys and girls =3:5
Let
Number of boys=3x
Number of girls =5x
- According to the question Numbers of girls=130


- Now interchange both sides and get x




<h3>Now </h3>
The number of boys=3x
=3×26=78
Number of boys is 78.
Answer:
Reject Null Hypothesis given that P-value < ∝
Step-by-step explanation:
Applying the Five ( 5 ) step model and assuming ∝ = 0.05
First step : determine the Null hypothesis
H0 : Age and support for Anti-smoking = independent
Second step : Determine the alternate hypothesis
Ha : Age and support for Anti-smoking ≠ independent
Thirdly : Identify significance level ( ∝ ) = 0.05
4th step : Calculate the Test statistic and P-value
Chi-squared test = 36.1429 using excel function
P-value = 1 - CHISQ.DIST(36.1429, 1, TRUE) < 0.0001
finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that
P-value < ∝
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
1
,
−
2
)
Equation Form:
x
=
1
,
y
=
−
2
Step-by-step explanation:
Graph.
y
=
3
x
−
1
y
=
x
+
1
y
=
−
x
−
1
y
=
x
+
1
Susan has 50 so the difference is 5 sense sheila had 45