Please answer asap i will help back and give brainliest

[tex]\huge\text{$(18x+15)$ units}[/tex]

Given the area, we need to find the side length. Let's start with the area equation for a square, where [tex]s[/tex] is the side length and [tex]A[/tex] is the area.

[tex]s^2=A[/tex]

Substitute in the known value.

[tex]s^2=324x^2+540x+225[/tex]

Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since [tex]324[/tex] ([tex]18^2[/tex]) and [tex]225[/tex] ([tex]15^2[/tex]) are both perfect squares.

We also know that [tex]a^2+2ab+b^2=(a+b)^2[/tex], which we can use to factor.

[tex]s^2=324x^2+540x+225\\s^2=(18x)^2+2(18x)(15)+15^2\\s^2=(18x+15)^2[/tex]

Now, take the square root of both sides to fully isolate [tex]s[/tex].

[tex]\sqrt{s^2}=\sqrt{(18x+15)^2}[/tex]

Keep in mind that the square root of any value squared is the original value.

[tex]s=\boxed{18x+15}[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a 0.1913 = 19.13% probability that the sample mean for a sample of size 30 will be at least 99.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the population, the mean and the standard deviation are given by, respectively, [tex]\mu = 95[/tex] and [tex]\sigma = 25[/tex].

For a sample of 30, we have that:

[tex]n = 30, s = \frac{25}{\sqrt{30}} = 4.6[/tex]

The probability that the sample mean for a sample of size 30 will be at least 99 is one subtracted by the p-value of Z when X = 99, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{99 - 95}{4.6}[/tex]

[tex]Z = 0.87[/tex]

[tex]Z = 0.87[/tex] has a p-value of 0.8078.

1 - 0.8087 = 0.1913.

0.1913 = 19.13% probability that the sample mean for a sample of size 30 will be at least 99.

More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/24663213

9514 1404 393

Answer:

  rules of signs apply

Step-by-step explanation:

The point-slope form of the equation for a line of slope m through point (h, k) is ...

  y -k = m(x -h)

If the point coordinates are positive, their values show up in the equation with a minus sign.

Example:

  slope 2, point (3, 4)

  y -4 = 2(x -3)

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If a point coordinate is negative, its value shows up in the equation with a plus sign.

Example:

  slope 2, point (-3, 4)

  y -4 = 2(x -(-3)) . . . . fill in the given value

  y -4 = 2(x +3) . . . . . simplify according to sign rules

__

The slope keeps its sign.

Example:

  slope -1/2, point (-3, 4)

  y -4 = -1/2(x +3) . . . . we only changed the slope from the previous example

Answer:

teehee

Step-by-step explanation:

:)

Answer:

p = -5

Step-by-step explanation:

11p-3p = 8p

-47+ 7 = -40

8p = -40

-40/8 = -5

Answer:

This is called a prepayment

Answer:

10 since its the longest part of the triangle ig

Step-by-step explanation:

Answer: 10 centimeters

Step-by-step explanation:

Because it's longer than both the other sides so it has to be 10.

Answer:

23

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

In order to find the answer to this question you need to use the slope formula and solve by subtracting the numerator and the denominator.

[tex]slope=\frac{y^2-y1}{x^2-x^1}[/tex]

[tex]x^1,x^2=(2,5)[/tex]

[tex]y^2,y^1=(8,7)[/tex]

Substitute:

[tex]\frac{8-7}{2-5}[/tex]

Subtract:

[tex]8-7=1[/tex]

[tex]2-5=-3[/tex]

[tex]=\frac{-1}{3}[/tex]

Hope this helps.

Answer:

[tex]Change = \$8.82[/tex]

Step-by-step explanation:

Given

[tex]Basketball = \$25.57[/tex]

[tex]Air\ Pump = \$15.61[/tex]

[tex]Amount = \$50[/tex]

Required

Determine the change received

First, we need to calculate the total amount spent

[tex]Total = \$25.57 + \$15.61[/tex]

[tex]Total = \$41.18[/tex]

This implies that Natalie pays a total of $41.18

Next, we calculate the change as thus:

[tex]Change = Amount - Total[/tex]

[tex]Change = \$50 - \$41.18[/tex]

[tex]Change = \$8.82[/tex]

Hence, the change is $8.82

Answer:

I think it is 125/450=x/100

I'm not sure but i think so, hope this helps!

Step-by-step explanation:

Answer:

D.5

Step-by-step explanation:

An angle bisector makes both sides of the angle equal (usually). Set the equation to 6x+4=8x-6. Solve for x by subtracting 6x from both sides so you get 4=2x-6. Add 6 to both sides so the equation is now 2x=10 and divide by 2.

The value of x from the figure is 13

The sum of angles on a straight line is 180 degrees.

From the given diagram;

Simplify

15x - 15  = 180

Add 15 to both sides

15x - 15 + 15 = 180 + 15

15x = 195

x = 195/15

x = 13

Hence the value of x from the figure is 13

Learn more on linear pair here: https://brainly.com/question/8720873

Answer:

The answer is $221

Step-by-step explanation:

$276×.20=55.2

$276-55.2 = $220.8 roundup by $221

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[tex]f(x - \frac{5}{3} ) \\ [/tex]

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: right \\ [/tex]

_________________________________

_________________________________

[tex]f(x) - \frac{5}{3} \\ [/tex]

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

[tex]f(x) \: \: is \: \: translated \: \: \frac{5}{3} \: \: units \: \: down \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Mparallel = 1

Step-by-step explanation:

Hope this helps!

Answer:

217 million km

Step-by-step explanation:

1 cm = 1 m. km

217 cm = 217 m. km

Answer:

3n=m

Step-by-step explanation:

Answer:

3m=n

Step-by-step explanation:

m equals the number of months she watches multiply that by three because three plus three plus three is the same as three times three.  and n is the equal because that is our total of movies she is going to watch. so three times the number of months she watched three movies consecutively to equal the total number of movies

Answer:

Triangle N

Step-by-step explanation:

Triangle N has the coordinates (0,0), (-1,4), and (-4,1)

Answer:

| x + 4 | = 1/2

Step-by-step explanation:

We want the numbers on the number line that are at a distance of 1/2 from "-4".

We can express such via the absolute value as :

| x - (-4) | = 1/2

| x + 4 | = 1/2

Answer:

21.5

Step-by-step explanation:

Answer:

exact form: -28/8

decimal form: -3.625

mixed number form: -3 5/8

Answer:

x = -3.625

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

100 pennies are in a dollar

Answer:

100 pennies are in a dollar.

Step-by-step explanation:

a penny is one cent so to get a dollar you have to have 100 pennies.

Answer:

The area is 3.9375 cubic ft, so yes, the area will greater than 3 and 1/2 ft.

Hope this helps:)

Step-by-step explanation:

Length of a rectangular sign :-

[tex] = 3 \frac{1}{2} \: \: m[/tex]

Width of a rectangular sign :-

[tex] = 1 \frac{1}{8} \: \: m[/tex]

The formula for finding the area of a rectangle is :-

[tex] =\bold{ length \times breadth}[/tex]

The area of the rectangular sign:-

[tex] =3 \frac{1}{2} \times 1 \frac{1}{8} [/tex]

[tex] = \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8} [/tex]

[tex] = \frac{6 + 1}{2} \times \frac{8 + 1}{8} [/tex]

[tex] = \frac{7}{2} \times \frac{9}{8} [/tex]

[tex] = \frac{7 \times 9}{2 \times 8} [/tex]

[tex] = \frac{63}{16} [/tex]

[tex] ={3 \frac{15}{6} \: \: }[/tex]

[tex] = 3 \frac{15 \div 3}{6 \div 3} [/tex]

[tex] ={ 3 \frac{5}{2} \: m}[/tex]

Thus, the area of the rectangular sign is:-

[tex] =\bold{ 3 \frac{5}{2} \: m}[/tex]

[tex]\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }[/tex]

Which will mean that the area of the rectangular sign is greater than [tex] { 3 \frac{1}{2} \: m}[/tex].

Therefore, the area of the rectangular sign is = [tex] \bold{ 3 \frac{5}{2} \: m}[/tex] and it is greater than [tex] \bold{ 3 \frac{1}{2} \: m}[/tex] .

Answer:

x = 1.25

Step-by-step explanation:

1.5 = X + 0.25

1.25 = x             you subtract 0.25 from both sides

Answer:

thx

Step-by-step explanation:

Answer:

840.......Hai

Answer:

1,260÷1.5=840 here is your answer

Answer: 4/20, or 1/5

Step-by-step explanation: since there are 4 orange, and 20 total, then if you were to draw an orange it would be 4/20(this is very basic probability)

Answer:

A

Step-by-step explanation:

pretty sure thats it

Answer:

1/2

Step-by-step explanation: