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Using the formula for population density, it is found that the approximate area of Puerto Rico is of 3980 square miles.

It is given by the number of habitants divided by the area, that is:

[tex]D = \frac{H}{A}[/tex]

In this problem, we have that:

Hence:

[tex]D = \frac{H}{A}[/tex]

[tex]10^3 = \frac{3.98 \times 10^6}{A}[/tex]

[tex]A = \frac{3.98 \times 10^6}{10^3}[/tex]

A = 3980.

The approximate area of Puerto Rico is of 3980 square miles.

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Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:

[tex]H_0: \mu = 0[/tex]

At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:

[tex]H_1: \mu > 0[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the parameters are given as follows:

[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]

t = 2.23

Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].

Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.

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Answer:

Step-by-step explanation:

6÷ 1/9 = 6/1 × 9/1 = 54

Answer:

Yes, I agree,  the score of 2 was an outlier,  outside of what is close to everyone else's score

Step-by-step explanation:

Take 2 coordinates

Slope'-

Equation in point slope form

Answer:

[tex]y=\dfrac67x-\dfrac67[/tex]

Step-by-step explanation:

From inspection of the graph, we have been given two points on the line:

[tex]\textsf{let}\:(x_1,y_1)=(1,0)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(8,6)[/tex]

Therefore:

[tex]\textsf{slope}\:(m)=\dfrac{6-0}{8-1}=\dfrac67[/tex]

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

Substituting the values of m and (x₁, y₁):

[tex]\implies y-0=\dfrac67(x-1)[/tex]

[tex]\implies y=\dfrac67x-\dfrac67[/tex]

Therefore, the equation of the line in slope-intercept form is:

[tex]y=\dfrac67x-\dfrac67[/tex]

Answer:

21

Step-by-step explanation:

We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.

If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.

25/3 = 8.33

21/3 = 7

23/3 = 7.667

26/3 = 8.667

Step-by-step explanation:

a.

[tex]y = |x - 1| + 2[/tex]

b.

[tex] - x + 3 \: \: \: \: \: \: \: \: \: \: \: \: x \leqslant 1 \\ \\ x + 1\: \: \: \: \: \: \: \: \: \: \: \:x > 1[/tex]

Answer:

Choose one

Step-by-step explanation:

The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.

[tex]P=2(a+b)[/tex]

Here, (l) is the length and (w) is the width of the rectangle.

John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide.  The fence is to be 15 feet from the edge of the pool from all the sides.

Thus, add 15 two times in length and width for both side of pool.  The length of the fence is,

[tex]l=23+15+15\\l=53[/tex]

The width of the fence is,

[tex]l=22+15+15\\l=52[/tex]

The perimeter of the fence is,

[tex]P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft[/tex]

Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.

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Answer:

D. 7/8

Step-by-step explanation:

Answer:

D. 7/8. (has to be twenty characters long so here are some words )

Answer:

% of students who are female or have green eyes: 51% or 45/88

% of students who are males without green eyes: 49% or 43/88

The sum of these two percentages: 100%

Step-by-step explanation:

Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.

For the first part:

Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%

For the second part:

Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%

Answer:

...............................................................................................5x4

Answer:

x = 21

Step-by-step explanation:

We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.

Pythagorean Theorem : a^2+b^2=c^2

But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.

20^2 + b^2 = 29^2

400 + b^2 = 841

Subtract 400 from both sides to get b^2 alone

-400            -400

b^2 = 441

Square root of each side to get b by itself

b = 21

This means the missing side is 21. Also meaning 21 is x.

x = 21

Answer:

It did not attach correctly try again and ill answer

Step-by-step explanation:

Post the attach picture or whatever goes with it

Hey there!

13/4(2x + 3/4)

= 13/4(2x) + 13/4(2x)

= 13/2x + 39/16

≈ 6 1/2x + 2 7/16

Therefore, your answer is:
13/2x + 39/16

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

(24y^3x-20y^5x^2)/(-3y^5x^2)

= y^3x(24-20y^2x))/(-3y^5x^2)

=(24-20y^2x)/(-3y^2x)

=(24/(-3y^2x))-((20y^2x)/(-3y^2x))

=(-8/y^2x)-(-20/3)

=-8/y^2x + 20/3

Answer:

Ask for it back nicely. Maybe make some offers that might persuade your parents to give your phone back (like chores). Also do nice things for them so that they want to help you more.

Step-by-step explanation:

It works for me most of the time.

Answer: [tex]D=13.8[/tex]

Step-by-step explanation:

To fing the diameter of a circle when given the circumfrence we use the formula of

[tex]D=\frac{c}{\pi }[/tex]

[tex]D= \frac{43.332}{3.14}[/tex]

[tex]D=13.8[/tex]

Answer:

x = 60 degree

Step-by-step explanation:

x = 60 degree (being alternate angles )

Answer:

x = 60

Step-by-step explanation:

When two parallel lines are intersected by a transveral, the alternate interior angles are congruents.

x = 60

Answer:

A. x = 12

Step-by-step explanation:

By inscribed angle theorem:

[tex](9x + 2) \degree= \frac{1}{2} [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= \frac{108}{9} \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}[/tex]

The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

[tex]p^4 - 16[/tex]

Let the factor form of the polynomial is f(p). Thus,

[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]

Using the formula of difference of squares, we get,

[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

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Answer:

D Edge 2022

Step-by-step explanation:

From the calculation, it is clear that the mathematical expression required for both pillows is given as: 4(2x2+4x−6;) 130.0 inches (Options D)

Recall side length is given as: 2x² + 1; and

The Ribbon's side length is: 4x -7.

To determine the length of ribbon required for the two pillows, we must state:

= 4 (2x² +1) + 4(4x-7)

Expanding the bracket since is common to both sides of the expression, we state:

= 4(2x² +1 + 4x -7).

Collecting like terms and resolving sums and differences, we have:

= 4(2x²+ 4x -6).

Step two

Recall that  length is given as x = 3.5 therefore,

substituting x in the equation, we have:

4 (2 * 3.5²) + 4 ((3.5)-6)

= 130 Inches.

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Answer:

TSA of a cylinder = 2*pi*r(r+h)

Pi=22/7

TSA=2*22/7*7(7+10)

TSA=748 sq.cm

Step-by-step explanation:

The surface area of the given cylinder is 238π square centimeters

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a cylinder with radius 7 centimeters and height 10 centimeters.

r = 7 cm

h = 10 cm

Surface area formula is 2πrh+2πr²

SA=2π×7×10 + 2π(7)²

=140π + 98π

=238π

Hence, the surface area of the given cylinder is 238π square centimeters

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Answer:

10x + 1

Step-by-step explanation:

First, combine any like terms. Then make sure to rewrite in descending order.

3x + 7x + 1 <== combine any like terms

10x + 1 <== arrange in descending order

Hope this helps!

Answer:

126 in^2

Step-by-step explanation:

A=[tex]\frac{a+b}{2} h=\frac{8+20}{2}(9)=126[/tex]

My method is a little bit different, but I hope it helps..

Total angle=103°+103°=206°

Total area=π×17×17=289π≈368.1

Area of shaded region=(206/360)×368.1

=210.6 sq. meter