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marissa [1.9K]
3 years ago
6

The perimeter of a rectangle is 64 cm. The length is 12cm longer than the width what are the length and the width of the rectang

le
Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

Answer:

Width of 10 cm, length of 22 cm

Step-by-step explanation:

P=2L+2w

64=2(12+w)+2w

64=24+2w+2w

40=4w

10=w

L=12+w

L=22cm

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Find the slope of the line that passes through the pair of points listed below.<br> (-2, -3), (6,5)
antoniya [11.8K]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =5\\y_{1} =-3\\x_{2} =6\\x_{1} =-2

^^^Plug these numbers into the formula for slope...

\frac{5-(-3)}{6 - (-2)}

\frac{8}{8}

1

^^^This is your slope

Hope this helped!

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5 0
3 years ago
What is the equation of the line that passes through the point<br> (6,7) and has a slope of o?
QveST [7]

Answer:

y= 7

Step-by-step explanation:

Plug in values into y=mx+b

m= slope

b= y intercept

Since slope is 0, y will always be at 7.

y= 0(x) +7

y= 7

6 0
2 years ago
How to solve a simultaneous equation
Diano4ka-milaya [45]
Http://mathsfirst.massey.ac.nz/Algebra/SystemsofLinEq/EMeth.htm this website explains it well 
6 0
3 years ago
Alfredo bought a fishing pole for 60% off it’s original price of $97. If the tax was 4% ( of the sale price), how much did Alfre
maxonik [38]

Answer:

40.4

Step-by-step explanation:

Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.

so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value

and it's a 4% tax so you will add for percent to 38.8,

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5 0
3 years ago
A group of researchers wants to know whether men are more likely than women to contract a novel coronavirus. They surveyed two r
olasank [31]

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

<em>Step(I)</em>:-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    p_{1} = \frac{360}{390} = 0.9230

second sample proportion

                  p_{2} = \frac{47}{52} = 0.9038

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

 

Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} }  } }

where

          P = \frac{n_{1}p_{1} +n_{2}  p_{2} }{n_{1}+n_{2}  }

         P =  0.920

Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52}  } )}

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







7 0
3 years ago
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