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vekshin1
3 years ago
13

What are the x-intercept and y-intercept of the graph of y=−12x+4y=−12x+4 ?

Mathematics
1 answer:
miskamm [114]3 years ago
6 0
The x-intercept is the value of x when y is equal is zero. It is the point in the x-axis intersected by the line. The y-intercept is the value of y when x is zero. It is where the line intersects in the axis. Therefore, for the given equation:

<span>y=−12x+4

</span><span>y=−12(0)+4 = 4<--------y-intercept

</span><span>0=−12x+4
x = 1/3 <--------x-intercept</span>
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A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of
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Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

H_0 :\mu_1 -\mu_2 = 0   (i.e. there is no difference between the SAT score for students in both locations)

H_1 :\mu_1 -\mu_2 \geq0 (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 = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }

t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }

t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }

t = \dfrac{50}{\sqrt{245+342 } }

t = \dfrac{50}{\sqrt{587} }

t = \dfrac{50}{24.228}

t = 2.06

degree of freedom = (n_1 + n_2 ) -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 H_o  if the p-value is less than the significance level

Conclusion: We reject the H_o , 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.

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3 years ago
Resistors. An electrical engineer has two boxes of resistors, with four resistors in each box. The resistors in the first box ar
Dafna11 [192]

Answer:

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. {(9, 18),(9, 19),(10, 18)}

D.  {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B(complement) ∩C =  {(9, 19)}

Step-by-step explanation:

The Sample Space would contain each element of the box A associated with each element of the box B.

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B.  Let the Outcomes in the event B, the event that the second resistor has a resistance less than 19 be denoted by J then

J=  {(9, 18),(10, 18),(11, 18),(12, 18)}

C. Let the outcomes in the event C, the event that the sum of the resistances is equal to 28 be denoted by L then

L =  {(9, 18),(9, 19),(10, 18)}

D. The  outcomes in B∪C contains all the elements of B and C

B∪C=J∪L= {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B complement contains those elements of the Sample Space which are not the elements of Set B.

B complement= S-B=  {(9, 19),(9, 20),(9, 21),(10, 19),(10, 20),(10, 21),(11, 19),(11, 20),(11, 21),(12, 19),(12, 20),(12, 21)}

B(complement) ∩C contains those elements of B and C which are common to both B complement and C.

B(complement) ∩C =  {(9, 19)}

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