Answer:
Step-by-step explanation:
From the given information:
The null hypothesis and the alternative hypothesis can be computed as:
(i.e. there is no difference between the SAT score for students in both locations)
(i.e. there is a difference between the SAT score for students in both locations)
The test statistics using the students' t-test for the two-samples; we have:
t = 2.06
degree of freedom = ( ) -2
degree of freedom = (45+38) -2
degree of freedom = 81
Using the level of significance of 0.05
Since the test is two-tailed at the degree of freedom 81 and t = 2.06
The p-value = 0.0426
Decision rule: To reject if the p-value is less than the significance level
Conclusion: We reject the , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.
1)
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2)
To find the x- intercept, plug y =0
x intercept = (2,0)
To find the y- intercept, plug x=0
Y- intercept = ( 0,3)
3)
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle =
Area of triangle =
Area = sq unit.
4) The graphs of and is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB =
Slope intercept of line
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.
Equation of line AB:
Slope of BC =
Plug C = (0,-4)
b=-4
equation of line BC=
Slope of line AC =
Equation of line AC =
Y intercept of AB =
Answer:
gradient =
Step-by-step explanation:
calculate the gradient m using the gradient formula
m =
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = = = =
8 = 8v - 4 (v + 8)
Distribute the 4 through the parentheses
8 = 8v - 4v - 32
combine like terms
8 = 4v - 32
add 32 to both sides
8 + 32 = 4v -32 + 32
combine like terms
40 = 4v
divide each side by 4
40/10 = v
4 = v
v= 4
Answer:
in the survey, 16 out of 80 students who where asked favored chicken nuggets.
so we need to calculate like this:
530 * 16/80
=530 * 1/5
=530/5
=106
hope this helps your understanding, wish you good grades