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3 years ago

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The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation

of the perimeter

1 answer:

Katarina [22]3 years ago

7 0

Answer: $6x^2-2x+4$

Step-by-step explanation:

Given

The length of a rectangle is given by

$l=2x^2-5x+5$

and the breadth is given by

$w=x^2+4x-3$

Perimeter is the sum of the sides of rectangle

$\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4$

Thus, the perimeter is given by $6x^2-2x+4$ .

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin

riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

$p=\frac{x}{n}$

$p=\frac{80}{100}$

$p=0.8$

Now we define hypothesis,

Null hypothesis $H_0$ : candidate A is significantly greater than 75%.

Alternative hypothesis $H_1$ : candidate A is not significantly greater than 75%.

Level of significance $\alpha=0.05$

Applying test statistic Z -proportion,

$Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}$

Where, $\widehat{p}=80\%=0.80$ and $p=75%=0.75$

Substitute the values,

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}$

$Z=\frac{0.80-0.75}{\sqrt{\frac{0.1875}{100}}}$

$Z=\frac{0.05}{0.0433}$

$Z=1.1547$

The p-value is

$P(Z>1.1547)=1-P(Z$

$P(Z>1.1547)=1-0.8789$

$P(Z>1.1547)=0.1241$

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

7 0

3 years ago

What is the 5-digit code?

kvv77 [185]

9514 1404 393

Answer:

4 2 6 1 7 or 1 2 4 3 7

Step-by-step explanation:

4 are correct of 1,3,4,6,7

3 are correct of 0,2,3,6,7

1 is correct of 0,3,6,8,7 -- so not both 3 and 6, meaning 1, 4, 7 are correct

Correct digits so far are 1, 4, 7 and one of {3, 6}. Line 2 tells another is 0 or 2; line 3 tells it is not 0. This adds 2 to the list of correct digits.

This makes the correct digits 1, 2, {3, 6}, 4, 7. We don't know whether the last digit is 3 or 6.

__

Looking at digits correctly placed, line 2 tells us the code is either ...

_ 2 6 _ 7 or _ 2 _ 3 7

Then line 1 fills in those blanks as ...

4 2 6 1 7 or 1 2 4 3 7

Either of these codes agrees with all of the clues.

3 0

2 years ago

The game is used in a school to raise money for charity-

Eduardwww [97]

Answer:

11111111111111111

Step-by-step explanation:

2222222222

3 0

3 years ago

DID YOU KNOW, in 1626, Peter Du Minuit traded beads and blanket (valued at $24) to the Native American inhabitants of Manhattan

otez555 [7]

Answer: $585.60

Step-by-step explanation:

The number of years that would have passed is;

= 2016 - 1626

= 390 years

Using simple interest, the investment will be worth;

= Principal * ( 1 + rate * number of years)

= 24 * (1 + 0.06* 390)

= $585.60

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2 years ago

PLEASE HELP ME!!! Ryan worked at a store for 3.5 days. He was paid $53.30 per day. He spent $24.75 to buy a gift for his mother.

Nadusha1986 [10]

Answer: 161.8

Step-by-step explanation:

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2 years ago