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Katena32 [7]
3 years ago
8

Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b

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The function fx) = x has been translated 9 units up and 4 units to the right to form the function gx). Which represents
PSYCHO15rus [73]

Answer:

G(x)=(x-4)+9

Step-by-step explanation:

If the graph going to the left or right, then it will in like (x plus or minus #). REMEMBER THE SIGN WILL BE OPPOSIT FOR EXAMPLE: IF IT SAY RIGHT, THEN OPPOSIT SIGN WILL BE NEGATIVE (minus). IF IT SAY LEFT, THEN OPPOSIT SIGN WILL BE POSITIVE (plus).

If the graph looking up or down, then it will be like: (x) plus or minus #. THE SIGN ARE THE SAME. FOR EXAMPLE: IF IT SAY UP, THEN IT IS PLUS (positive). IF IT SAY DOWN, THEN IT IS MINUS (negative)

6 0
3 years ago
5
irina [24]
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6 0
3 years ago
Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.
maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

H_o : p_1 =p_2

The altenative is:

H_a : p_1 \ne p_2

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

\hat p_1 = \dfrac{44}{66}

\hat p_1 = 0.6667

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

\hat p_2 = \dfrac{18}{46}

\hat p_2 = 0.3913

The pooled proportion p = \dfrac{18+44}{66+46}

p = \dfrac{62}{112}

p = 0.55357

The estimated standard error S.E is:

= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}

= \sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}

=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}

=\sqrt{ 0.00911638798}

= 0.0955

The Z test statitics can now be computed as:

Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}

Z = \dfrac{0.6667 -0.3913}{0.0955}

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant  difference between the proportions.

5 0
3 years ago
Please show ALL work<br><br> 4-5(2x+11)+6x=6-4(-x-9)-5
svp [43]

Step 1. Simplify 6 - 4(-x-9)-5 to -4(-x-9) + 1

4 - 5(2x + 11) + 6x = -4(-x-9) + 1

Step 2. Expand

4 - 10x - 55 + 6x = 4x + 36 + 1

Step 3. Simplify 4 - 10x - 55 + 6x to -51 - 4x

-51 - 4x = 4x + 36 + 1

Step 4. Simplify 4x + 36 + 1 to 4x + 37

-51 - 4x = 4x + 37

Step 5. Add 51 to both sides

-4x = 4x + 37 + 51

Step 6. Simplify 4x + 37 + 51 to 4x + 88

-4x = 4x + 88

Step 7. Subtract 4x from both sides

-4x - 4x = 88

Step 8. Simplify -4x - 4x to -8x

x = -88/8

Step 10. Simplify 88/8 to 11

x = -11


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Answer:

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3 years ago
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