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2 years ago

a rectangle is 14 centimeters long if the width of the rectangle is half of the length calculate the area of the rectangle

Mathematics

1 answer:

Varvara68 [4.7K]2 years ago

7 0

Answer:

98 cm²

Step-by-step explanation:

area of rectangle = length * width

length = 14 cm, width = 14/2 = 7 cm

area = 14 * 7 = 98 cm²

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1 point

galina1969 [7]

Answer:

(B) 20

Step-by-step explanation:

Let small puppet be represented by-----------------s

Let large puppet be represented by-----------------l

Total number of puppets expression will be: s+l =25---------a

The expression for total costs will be : 1$ s + $2l=$30-------b

Equation a can be written as; s= 25-l ------------c

Use equation c in equation b as

$1( 25-l )+$ 2l = $30

25-l + 2l = 30

25+l =30

l= 30-25 =5

l, large puppets = 5

s, small puppets = 25-5 = 20

Answer choice A is incorrect because 25 is the total number of all puppets

Answer choice C and D are incorrect because the numbers are less that that of small puppets.

3 0

3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago

What is the answer to 3-x/2=6

dalvyx [7]

Hello :
<span>3-x/2=6
</span><span>-x/2=6 -3

</span>-x/2=3
- x = 6
x = - 6

5 0

4 years ago

What is the area of this rectangle in square inches??

rodikova [14]

The area is A. 84 square inches

7 0

4 years ago

Read 2 more answers

Find the distance between (1, 3) and (-2, -6) and put it in simplest radical form

GarryVolchara [31]

Answer:

$\tt 9.48$

Step-by-step explanation:

(1,3) and (-2,-6)

$\tt Distance= \sqrt{(-6-3)^2+(-2-1)^2}$

$\tt =\sqrt{9^2+3^2}$

$\tt =\sqrt{81+9} =\sqrt{90}$

$\tt Distance=\sqrt{90} =9.48$

3 0

3 years ago

Read 2 more answers

a rectangle is 14 centimeters long if the width of the rectangle is half of the length calculate the area of the rectangle​

a rectangle is 14 centimeters long if the width of the rectangle is half of the length calculate the area of the rectangle