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2 years ago

Select the correct answer.

Mathematics

1 answer:

mr Goodwill [35]2 years ago

6 0

I believe its c because that is the suitable answer

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What is the length of a line segment on the coordinate plane with end point (3,5) and (6,8) to the nearest tenth

yan [13]

Answer:

Step-by-step explanation:

Use the distance formula for coordinate geoemetry and the fact that x1 = 3, y1 = 5, x2 = 6 and y2 = 8 to fill in the formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

fills in accordingly:

$d=\sqrt{(6-3)^2+(8-5)^2}$

which simplifies a bit to

$d=\sqrt{(3)^2+(3)^2}$

which is

$d=\sqrt{18}$

The square root of 18 simplifies down to $3\sqrt{2}$ , which is 4.2426 in decimal form

4 0

3 years ago

Read 2 more answers

We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

True [87]

Answer:

The minimum number of cities we need to contact is 96.

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 interval $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

95% confidence interval

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

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

$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

$\sqrt{n} = 9.8$

$(\sqrt{n})^{2} = (9.8)^{2}$

$n = 96$

The minimum number of cities we need to contact is 96.

8 0

3 years ago

The rectangle shown has a perimeter of 48 cm and the given area. Its length is 6 more than twice its width. Write and solve a sy

melamori03 [73]

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

$P=2(x+y)$

we have

$P=48\ cm$

$48=2(x+y)$ ------> equation A

$x=2y+6$ ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

4 0

3 years ago

frank is going to plant b vegetable seeds in one garden and 4b + 7 vegetable seeds in another. How many seeds is Frank going to

Kruka [31]

4b + 7 + b

5b + 7 is the simplest version.

3 0

3 years ago

Translate this sentence into an equation.

Norma-Jean [14]

Answer:

and 5 what ?

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers