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DiKsa [7]
3 years ago
12

Write an algebraic expression to represent the new x-coordinate after a reflection across the x-axis given any initial x-coordin

ate, x.
Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

x' = x

Step-by-step explanation:

Given

Initial\ Coordinate = x

Required

Find the new coordinate of x when reflected over x axis

Represent the new x value as x'

When a function is reflected over the x axis, the x value remains unchanged;

So, we have:

x' = Initial\ Coordinate

x' = x

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The following information was obtained from matched samples. Individual Method 1 Method 2 1 7 5 2 5 9 3 6 8 4 7 7 5 5 6 Refer to
kykrilka [37]

Answer:

p_v =2*P(t_{(8)}

c. should not be rejected

Step-by-step explanation:

1) Data given and notation

The data given is:

Method 1 : 7,5,6,7,5

Method 2: 5,9,8,7,6

\bar X_{1}=6 represent the mean for the method 1

\bar X_{2}=7 represent the mean for the method 2

s_{1}=1 represent the sample standard deviation for the method 1

s_{2}=1.58 represent the sample standard deviation for the method 2

n_{1}=5 sample size selected for the Consultant A

n_{2}=5 sample size selected for the Consultant B

\alpha=0.05 represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

p_v represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the difference is equal to 0, the system of hypothesis would be:

Null hypothesis:\mu_{1}- \mu_{2}=0

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0

If we analyze the size for the samples both are less than 30 so for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other".

Calculate the statistic

We can replace in formula (1) the info given like this:

t=\frac{6-7}{\sqrt{\frac{1^2}{5}+\frac{1.58^2}{5}}}=-1.195 (1)

P-value

The first step is calculate the degrees of freedom, on this case:

df=n_{1}+n_{2}-2=5+5-2=8

Since is a two sided test the p value would be:

p_v =2*P(t_{(8)}

Conclusion

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis. So the best option would be:

c. should not be rejected

3 0
3 years ago
If a&lt;0 and c&gt;b <br> Which is greater: a(b-c) or a(c-b)
posledela

Answer:

a(c-b)

Step-by-step explanation:

eg: 3-2 = 1

2-3= -1

c is greater than b

so c would be 3 and b would be 2

Hope this helps!

8 0
3 years ago
5 gal. x 20 mpg = ? mi.
konstantin123 [22]
Pretty sure it’s c cause 5 x 20 = 100
5 0
3 years ago
Read 2 more answers
Find the area of the triangle on the grid below.
Klio2033 [76]

Answer:

31.5 units²

Step-by-step explanation:

Area = ½*base*height

Height of the triangle on the grid = 9 units

Base = 7 units

Area = ½*9*7

Area = ½*63

Area = 63/2

Area = 31.5 units²

3 0
3 years ago
What is the equation of the line that is parallel to the line X = -2 and passes through the point (-5, 4)
AlekseyPX

For lines to be parallel, their slopes have to be the SAME.


x = -2      This is a vertical line   (For the points on this line, x will always be -2, and y can be any number)

Since this is a vertical line, the parallel line has to also be vertical.


x = -5    (for the points on this line, x will always be -5, and y can be any #)


5 0
3 years ago
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