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EVERYTHING NEEDED IS IN THE PIC BELOW

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

It states that, for a normally distributed random variable:

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

  (B)  $200,000

Step-by-step explanation:

The value of the simple interest account can be found using the formula ...

  A = P(1 +rt) . . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the value of the account to be ...

  A = $125,000(1 +0.04×15) = $125,000(1.6)

  A = $200,000

Katie's savings will be worth $200,000 after 15 years.

Answer: 9.06

Step-by-step explanation:

Do; 3.02+3.02+3.02

This adds up to 9.06

Answer: Division Property of equality

Step-by-step explanation:

5d= 75

1. Isolate the variable and remember, if the number is next to the letter, it means to multiply.

2. Reverse PEMDAS so instead of multiplying, divide instead.

3. 75/ 5 equals 15.

d=15

Answer: d=. 15

Step-by-step explanation:

Answer:

 xy

---------

x + y

Step-by-step explanation:

(xy)

-----  is in its simplest form.

(x + y)

I hope this helps!

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"z" inversely proportional to "t"}}{z=\cfrac{k}{t}}\qquad \textit{we also know that} \begin{cases} t=9\\ z=28 \end{cases} \\\\\\ 28=\cfrac{k}{9}\implies 252=k~\hfill \boxed{z=\cfrac{252}{t}} \\\\\\ \textit{when t = 12, what is "z"?}\qquad z=\cfrac{252}{12}\implies z=21 \\\\\\ \textit{when z = 36, what is "t"?}\qquad 36=\cfrac{252}{t}\implies t=\cfrac{252}{36}\implies t=7[/tex]

Approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.

A 15-meter by 23-meter garden is divided into two sections. In this rectangle,

Here, a vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. The length of the left side of the square will be 15 long. Thus, the lenght of its diagonal is,

[tex]d_1=15\sqrt{2}\\d_1=21.213\rm\; m[/tex]

The length of the sidewalk in smaller rectangle in the right side of figure is,

[tex]d_2=\sqrt{15^2+8^2}\\d_2=17\rm\; m[/tex]

Sum of the lengths of the two sidewalks using the pythagoras theorem is,

[tex]S=21.2+17\\S=38.2\rm\;m[/tex]

Thus, approximate sum of the lengths of the two sidewalks, shown as dotted lines in the figure of rectangle garden is 38.2 meters.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

Answer:

D 38.2

Step-by-step explanation:

E2020

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

Answer: x<-1

Step-by-step explanation:

The answer is A!

Answer:

See below.

Step-by-step explanation:

Solving the inequality :-

Graph A shows the solution to the inequality correctly

Answer:

4

Step-by-step explanation:

To calculate the mean or average, add all the data point up and whatever the amount of data point there are is supposed to be divided by the sum of the data points. So in this case, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. This is the sum of the data points. Now we have to divide by the amount of data points which is 7 (0 obviously has no value whatsoever).  28 divided by 7 is 4. The average/mean of the number of post made is therefore 4.

Hope this helps,

IShowSpeed's Right Hand Enthusiast

Step-by-step explanation:

What is 40% of 400?

After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.

The translation rule for reflecting the coordinate (x, y) over the x-axis is expressed as:

[tex](x, y) \rightarrow (x,-y)[/tex]

Given the following coordinates of the vertices from the figure J(-7, 7), K(-5, -2) and L(-2, 3)

If the coordinates ara reflected over the x-axis, the resulting coordinates will be  J(-7, -7), K(-5, 2), and L(-2, -3).

After reflection, the x-coordinates remains unchanged while the y-coordinates are negated.

Learn more on reflection here: https://brainly.com/question/26642069

Answer:

No.

Step-by-step explanation:

Substitute 2 for x and 8 for y in y=6x

8 = 6(2) -> 8 = 12

This is false, so (2,8) is not a solution for y=6x

Answer:

x=5

y=5

y = 3x - 10 -----------(1)

y=2x-5------------(2)

Step-by-step explanation:

put the value of y in 2nd equation

y=2x-5

=3x - 10=2x-5

=3x-2x=-5+10

= x=5,

now put the value of x in 1st equation.

y = 3x - 10

=y=3×5-10

=y=15-10

= y=5.

check

put the value of x and y in 1st equation.

y = 3x - 10

x=5,,y=5

=5=3×5-10

= 5=5

hope it's help you

:-befrank

Answer:

3

Step-by-step explanation:

could the length of the first triangle to the length of the second triangle

Answer:

[tex]y=0x+2[/tex]

Step-by-step explanation:

Given the following question:

Point A = (3, 2) = (x1, y1)
Point B = (-6, 2) = (x2, y2)

To write the following points in slope intercept form we first need to calculate the slope by using the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{2-2}{-6-3} =\frac{0}{-9}[/tex]
[tex]0\div-9=0[/tex]
[tex]m=0[/tex]

Now that we have to slope, we can now write the points in slope intercept form by using the formula y = mx + b and solve for b.

[tex]y=mx+b[/tex]
[tex]y=2[/tex]
[tex]m=0[/tex]
[tex]x=3[/tex]
[tex]2=0(3)+b[/tex]
[tex]0\times3=0[/tex]
[tex]2=0+b[/tex]
[tex]2+0=2[/tex]
[tex]2=b[/tex]
[tex]b=2[/tex]
[tex]y=0x+2[/tex]

Your answer in slope intercept form is "y = 0x + 2."

Hope this helps.

Answer:

2 3 4 5 6 7 8 9 10

Step-by-step explanation:

even odd even odd even odd even odd even odd

First, you know that Jackson (let call her J) scored 42 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.

So the equation will be J=42+x.

We also know that the total points is 1,144.

To find out what x is we first subtract 1,144-42.  We then get 1,102.

We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.

551=x so now we can plug that in.

J = 551 + 42

Jackson scored 593 points and Leslie scored 551 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

Answer:

[tex]\displaystyle 250°[/tex]

Explanation:

When converting from radians to degrees, multiply one hundred eighty by the radian measure, then divide it pi:

[tex]\displaystyle \boxed{250°} = 1\frac{7}{18}\pi[\frac{180}{\pi}][/tex]

I am joyous to assist you at any time.

Step-by-step explanation:

The answer is in the picture

Using the two given solutions and the general absolute value function we will get:

|x + 9|  = 27

The two solutions are:

x = 0 and x = -18.

Remember that the absolute value equation is something like:

|x - a| = b

If we want to have these solutions, then:

|0 - a| = b

|-18 -a| = b

From the first one, we have:

|-a| = b

Replacing that on the second equation we get:

|-18 -a| = |-a|

Notice that if we take a = -9, then we have:

|-18 + 9| = |+9|

|-9| = |+9|

This is true, so a = -9.

Then we find the value of b:

|18 + 9| = b = 27

Then the absolute value equation is:

|x + 9|  = 27

If you want to learn more about absolute value equations, you can read.

https://brainly.com/question/3381225

Answer:

x = 35.20735

Step-by-step explanation:

Use tanФ = opposite/adjacent

tan58 = x/22

x = 35.20735

x / 33 = 40 / 24

x = 40 / 24 * 33 = 55

Answer: 120

Step-by-step explanation:

x/6 + 5 =25, subtract 5 on both sides

-5 -5

x/6 = 20, multiply both sides by 6

6(x/6) = 20(6)

x = 120

Area of parallelogram is Base×height

10×18=15× x

x= 12

hope it helps

Answer:

x = 12

Step-by-step explanation:

So, area of a parallelogram is base times height.

In this picture, one of the base, height pair is 18 and 10.

18 * 10 = 180

The other base, height pair is 15 and x.

So, 15 and x should equal to 18 * 10.

Then, 15x = 180.

Divide both sides by 15, and you get 15x/15 = x and 180/15 = 12.

So, x = 12