Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?

Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5

Answers

Answer 1

Answer:

  mode: x = 30

Step-by-step explanation:

The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.

__

If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.


Related Questions

Please help me with these 2 questions, I don’t really need explanations I just need straight forward answers ! The questions are linked below. 50 points

Answers

Answer:

1. The value of 5 is fifty thousand

2. The value of 6 is six thousand

Step-by-step explanation:

1. 8.156 million - 8,156,000

2. 6,521

^ 6000

calculate the social security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare)
cumulative earnings before this pay period: $409,100
pay amount this period: $8,800​

Answers

Answer:

Several interpretations:

1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.

2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).

3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).

Step-by-step explanation:

The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).

Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.

Quick Edit:

My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/

T-Mobile has a family plan of four lines for $120 and additional lines are $10 each per month. If Jason wants to spend at most $175 per month on a cell phone expenses, what is the correct inequality that represents the amount of additional lines he can afford?

Answers

Answer:

Jason can afford 5 more additional lines, making 9 lines total because

175-120=55

55/10=5.5 so He can not afford more than 5 more additional lines.

Step-by-step explanation:

cercaughters A mother says to her 5 years ago I 5 times as old as you were but 10 years Hence shall be only twice as old as you will find the posent age of mother T and daughter​

Answers

Answer:

Daughter is now 10 The mother is 30

Step-by-step explanation:d

d=daugter

5d=mother

5d = 2d +5 +10

3d =15

d=5

5 years ago    d=5  m=25

now                  d=10 m=30

in10 years        d=20 m=40

integrate the following by parts |xcos x dx​

Answers

[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]

- If the difference of 15 and a number is 5, what is the number?​

Answers

Answer:

The difference of 15 and a number is 5 indeed 10 to be 15

Answer:

10

Step-by-step explanation:

(02.01 LC) Which of the following tables represents a function?

Answers

Answer:

the answer is the third one

Step-by-step explanation:

because in a function the x value has to be unique.

Answer:

c (third one)

Step-by-step explanation:

Why can't the square root cancel out the exponents in the distance formula?

Answers

Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.

For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.

So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.

100%
Đ
X
A doctor treated 24, 27, 31, 19, 26, 15, and 19 patients during the past 7 days.
Which is the median number of
patients treated by the doctor?
A 15
B. 19
C. 23
D. 24
E. 31

Answers

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

Find teh value of teh coefficient a in the equation ax +2y =8 if a solution to the equation is the pair x=2 and y= 1

Answers

Answer:

a(2)+2(1)=8

2a+2=8

2a=8-2

2a=6

a=3

a(2) + 2(1) = 8
2a + 2 = 8
2a = 8-2
2a = 6
a = 6/2
a = 3

The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex

Answers

Answer:

A’(5 , -3)

B’(1 , 5)

C’(-9 , 1)

Step-by-step explanation:

Let A be the point of coordinates (-4, 3)

Let B be the point of coordinates (-2, -1)

Let C be the point of coordinates (3, 1) 

____

In this case we can form three parallelograms ABA’C, BAB’C , CAC’B

How to find the coordinates of the fourth point A’ of the parallelogram ABA’C

Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :

[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]

________________________

We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.

B’(1 , 5)

C’(-9 , 1)

100 points! asap! Which graph best represents the solution to the system of equations shown below?

y = -2x + 14
y = 2x + 2

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.

Answers

Answer:

A)  A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)

Step-by-step explanation:

Given equations:

[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]

[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]

Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:

[tex]\implies 2x+2=-2x+14[/tex]

[tex]\implies 4x=12[/tex]

[tex]\implies x=3[/tex]

Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:

[tex]\implies y=2(3)+2=8[/tex]

Therefore, the solution to the system is (3, 8).  

This is the point of intersection of the two lines.

i will give brainliest
PLEASE HELP!

Answers

Answer:

3/4

Step-by-step explanation:

It says Event Q is more likelier to occur than Event T

⇒ P(T) = 1/2

⇒ P(Q) > P(T)

⇒ P(Q) > 2

A possible probability is :

P(Q) = 3/4

Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )

Answers

Answer:

y = -2x + 16

hope this helped :)

Sarah's family has a circular swimming pool The circumference of the pool is 25.12 m. What is its area

Answers

Answer:

4889.26m²

Step-by-step explanation:

[tex]Solution,\\\\Here,\\\\Circumference(C)=25.12 m\\\\Radius(r)=?\\\\As,\\\\\hookrightarrow Circumference=2\pi r\\\\\hookrightarrow 25.12m/2\pi =r\\\\\hookrightarrow r=39.45m\\\\Now,\\\\Area=\pi r^{2} \\\\Area=\pi \times(39.45m)^{2} \\\\Area=4889.26m^{2}[/tex]

Select True or False for each statement.
Statement True False
In the ordered pair (3, 5), the number 5 is the y-coordinate.
True – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
False – In the ordered pair ( 3, 5 ) , the number 5 is the y-coordinate.
The origin has coordinates (0, 0).
True – The origin has coordinates ( 0, 0 ) .
False – The origin has coordinates ( 0, 0 ) .
The horizontal axis in a coordinate plane is the y-axis.

Answers

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)

(0, 0) is the origin on a coordinate plane (TRUE)

y-axis is the horizontal axis on a coordinate plane (FALSE).

What is an Ordered Pair?

An ordered pair is a set of numbers that represents the location of a point on a coordinate plane that has an x-axis (horizontal axis) and y-axis (vertical axis).

An ordered pair is given as (x, y). Therefore, the following statements given are matched as shown below:

The number 5 in the ordered pair (3, 5) is the y-coordinate (TRUE)(0, 0) is the origin on a coordinate plane (TRUE)y-axis is the horizontal axis on a coordinate plane (FALSE).

Learn more about ordered pair on:

https://brainly.com/question/1528681

Using the chart, determine which college is the LEAST expensive.

Answers

Answer:

college c

Step-by-step explanation:

bc its the least amount of money and has the second highest loan default

A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

C = 2πr25 = 2 x 3.14 x rr = 25 / 6.28r = 3.98 cm ≅ 4 cm

Surface Area

4πr²4 x 3.14 x 4 x 43.14 x 64200.96201 cm²

Volume

4/3πr³ = 4πr² x r/3201 x 4/367 x 4268 cm³

Which of the following values in the set below will make the equation 4x + 2 = 18 true?

{0, 1, 2, 3,4}
^^ those are the input numbers

Answers

Answer:

4

Step-by-step explanation:

subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4

4x+2=18

-2. -2

4×=16

4. 4

x=4

CAN SOMEBODY SOLVE EQUATION IM LOST

Answers

Answer:

2

- x  -1

3  

Step-by-step explanation:

CO
8
6
4
N
Which function is graphed?
46
8
N
-8 -6 -4 -20
-2
-4
-6
-8
O A. y- *#4x23
[+ ,
1-x+4,52

Answers

The third one Hope this helps ur welcome

In simplest form 1 3/10 x 18=

Answers

54/10 or 27/5 hope this helps

207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18

Convert the mixed fraction to improper fraction and simplify.

 [tex]1\frac{3}{10}[/tex]=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Find the measure of the reflex angle, B.
A
75%
B
B = [?]°
Enter
Answer

Answers

Answer:

285

Step-by-step explanation:

I could be wrong but if i remember you subtract 75 from 360 which would be 285

PLEASE HELP PLEASE PLEASE HELP

Answers

Answer:

[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%

Step-by-step explanation:

25%. One quarter of 100% is 25%, if you divide 100% by four that is what you will get.

What is the equation of the trend line in the scatter plot?

Answers

Answer:

y=(x-1)

Step-by-step explanation:

Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.

Answers

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

What is the surface area of each solid pyramid? Round answers to the nearest square unit.

Please explain how to solve the problem, not just the answer.

Answers

Answer:

The total surface area is

57ft^2.

The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.

Answers

Answer:

Easy! The answer is $4,150

Step-by-step explanation:

The $350 is interest so we will take that away from the maturity value to get 4,150!

mark BRAINLIEST IF YOU THINK I HELPED

This below in pic is the question i need reason for my answer pls help

Answers

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

Find the surface area of the prism.

Answers

Answer:

158 in²

Step-by-step explanation:

Surface area of a rectangular prism:

2(lw + lh + wh), where w is the width, l is the length and h is the height.

= 2((8 x 5) + (8 x 3) + (5 x 3))

= 2(40 + 24 + 15)

= 2(79)

= 158 in²

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The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball isserved. Which of the following statements are correct? Select all that apply.The volleyball reached its maximum height at 3 seconds.The maximum height of the volleyball wag 23 feet.If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.The graph that models the volleyball's height over time is exponential.The volleyball was served from a height of 5 feet. a2 = 5 and d = 2. find a6 A local phone company offers a cell phone plan that has a fixed cost per month and a cost related to the number of text messages sent. The fixed cost is $20 and each message sent costs 10. Represent the relation between the total cost and the number of text messages sent, as many different ways as you can. How did the invention of the automobile affect life in urban areas?a) It increased noise and air pollution.b) It decreased the need for cargo to be moved by rail.c) It allowed people to communicate with each other faster. d) It allowed people to work longer hours in factories or businesses. Which of the following conclusions is most consistent with the results of the experiment? A. Rabbit mRNA is composed of nucleotides that are absent from frog mRNA. Which of the following indicates that all organisms can be traced back to a common ancestry?A.) The genetic code consists of nucleotides in triplet codes. B.) There are a few organisms that respond differently to the start and stop signals in the genetic code. C.) Microorganisms contain codons and anticodons. selling price of a toy is 2 times the cost price . when selling the toy the shopkeeper makes a profit or rs 20 . what is the cost price The usual price of a compact disc player was $200. At a sale, it was sold at a discount of 5%. What was the selling price 25. Which letter shows Earth's position in December?(1 point) Please help me with this (ignore where I scratched things out) What is the main lesson Gilgamesh must learn during The Supreme Ordeal in the heros journey? I NEED HELP I WILL MARK BRAINLISTWhy do words in some dictionaries have dots separating parts of the word?A. to show you how to pronounce the wordB. to show how many letters in a wordC. to show the syllables in a wordD. to show you another way to write the word 20 points asap What government and civic responsibility is represented by the three Rs: reduce, reuse, and recycle?A. conservationB. commercialismC. recreationD. communication Confederation Helvetica is the official name forthe French-speaking region of Switzerlandthe Italian-speaking region of SwitzerlandOall of Switzerlandthe German-speaking region of Switzerland 30 points!!!!- Part A: Explain why x = 5 makes 4x - 13 19 true but not 4x -1 < 19. (5 points) Part B: What value from the set (6,7,8,9,10} makes the equation 5x + 2 = 47 true? Show your work (5 points) -Understand Washington's presidency, especially the international affairs-What did Adams do well as president, and what did he not do so well at?-Know Jefferson's principles...is he a "thinker or a "doer"? two ways a community can protect the water supply. How did black South Africans protest against pass laws? arrange in ascending order : 39, 31, 50, 18, 51, 63, 10, 34, 42, 89, 73, 11, 33, 31, 41, 25, 76, 13, 26, 23, 29, 30, 51, 91, 37, 64, 19, 86, 9, 20 the Area of the circles