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Burka [1]
3 years ago
7

if the cost of 4 shirts 4 pants 2cap is 560 dollars in a shop and the cost of 9shirts 9 paints and 6 caps is 1290 dollars then f

ind the cost of shirts paints and caps
Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0
{4s+4p+2c=560
{9s+9p+6c=1290

{9s+9p+4.5c=1260
-
{9s+9p+6c=1290
1.5c=30
c=20 dollars

{4s+4p+40=560
{9s+9p+120=1290
{s+p=130

Shirt and pant cost 130 dollars for each (1170 dollars total for 9 pairs); cap cost 20 dollars each
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Answer:

The value of the test statistic is z = -1.5

Step-by-step explanation:

The formula for the test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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In this problem, we have that:

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So

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{17 - 20}{\frac{6}{\sqrt{3}}}

z = -1.5

The value of the test statistic is z = -1.5

8 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y
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Answer:

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x-4 y = -4    and </em>

<em>The equation of the parallel  line to the given equation is </em>

y = 1 + \frac{3 x}{4}

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

<em>The equation of the parallel line to the given equation is </em>

<em>3 x - 4 y = k </em>

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

<em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>Dividing '4' on both sides , we get</em>

<em></em>\frac{3 x-4 y}{-4} = 1<em></em>

<em></em>\frac{-3 x}{4} +y =1<em></em>

<em></em>y = 1 + \frac{3 x}{4}<em></em>

<u><em>Conclusion</em></u>:-

∴ <em>The equation of the parallel  line to the given equation is </em>

<em>3 x- 4 y = -4 </em>

<em>and </em>

<em>The equation of the parallel  line to the given equation is </em>

y = 1 + \frac{3 x}{4}

<em>     </em>

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