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KonstantinChe [14]
3 years ago
6

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

he _______.
Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:  

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

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Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls m
JulsSmile [24]

Answer:

a) test statistic = 2.12

b) p-value = 0.017

c) we reject the Null hypothesis

Step-by-step explanation:

Given data :

N = 200

girls (x) = 115 , Boys = 85

p = x / n = 115 / 200 = 0.575

significance level ( ∝ ) = 0.1

<em>aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment </em>.

<u>A) Determine the test statistic </u>

H0 : p = 0.5

Ha : p > 0.5

to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1

Z - test statistic = ( 0.575 - 0.5)  / \sqrt{0.5*0.5 / 200}  = 2.12

<u>b) determine the p-value</u>

The P-value can be determined using the normal standard table

P-value = 1 - p(Z< 2.12 )  =  1 - 0.9830 = 0.017

c) Given that the p value ( 0.017 ) < significance level ( 0.1 )

we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%

3 0
3 years ago
Help needed math 3 - 10 points read closely
inessss [21]
<h2>Hello!</h2>

The answer is:

The answer is the fourth option,

f(-3)=-\frac{1}{3}

<h2>Why?</h2>

Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.

We are given the piecewise function:

\left \{ {{\frac{1}{x}, if x

There, we know that:

We should use the first expression if the value to evaluate is less than -2.

So, for this case, the function will be:

f(x)=\frac{1}{x}

We should use the second expression if the value to evaluate is greater or equal than 2.

So, for this case, the function will be:

f(x)=x^{2}

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

-3

So, evaluating the function we have:

f(x)=\frac{1}{x}

f(-3)=\frac{1}{-3}

f(-3)=-\frac{1}{3}

Hence, we have that the answer is the fourth option,

f(-3)=-\frac{1}{3}

Have a nice day!

7 0
3 years ago
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7nadin3 [17]
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8 0
3 years ago
Please help i rlly need itttt
Olenka [21]

Answer:

The value of x is the value where the line crosses the x-axis!

________________________________________________________

Hope this helps!!

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8 0
2 years ago
Read 2 more answers
Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A
vova2212 [387]

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

A(x) =48.5 -21x

B(x) =42 -16.8x

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set x = 0

So:

A(x) =48.5 -21x

A(0) = 48.5-21*0 =48.5-0 =48.5

B(x) =42 -16.8x

B(0) = 42 - 16.8*0 =42-0 =42

From the above computation:

A(0) > B(0) \to 48.5 > 42

Hence;

Cyclist A lives farther from the Orchard

5 0
3 years ago
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