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Lorico [155]
3 years ago
6

From a rectangular metal sheet whose measure 30cm×20cm, a circular portion whose radius is 10.5cm is cut off .Find the area of r

emaining metal sheet .
Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

254 cm²

Step-by-step explanation:

Calculate first  the total area

A = 30*20 = 600 cm²

Then calculate the area of the cercle

A= 10.5²*π = 346.36≈346 cm²

Then substract the area of the circle from the total one:

600-346= 254 cm²

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Answer:

-9, -8, -4 , 6 then 9..

Step-by-step explanation:

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8 0
3 years ago
Solve.<br> (2x+24)(4x+36)
Eva8 [605]
You just need to foil. 2x times 4x times 2x times 36 times 24 times 4x times 24times 36. then solve.
7 0
3 years ago
Read 2 more answers
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
y varies directly as x, y=14 when x=18. Determine x when y=31. Estimate your answer to two places after the decimal, if necessar
laiz [17]
Y : x
14 : 18
31 : x
18*31/14=x
39.85714286

ANSWER
x=39.86
8 0
3 years ago
Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
Zinaida [17]

Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

So, each new piece pf fabric is \dfrac{1}{20}\ \text{yards}.

5 0
3 years ago
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