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

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]

[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]

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

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

Answer:

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

Step-by-step explanation:

Answer:

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

Answer:

10

Step-by-step explanation:

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.

Answer:

3/4

Step-by-step explanation:

⇒ P(T) = 1/2

⇒ P(Q) > P(T)

⇒ P(Q) > 2

A possible probability is :

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:

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

Answer:

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

Step-by-step explanation:

Answer:

The total surface area is

57ft^2.

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]

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).

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:

Learn more about ordered pair on:

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Answer:

a(2)+2(1)=8

2a+2=8

2a=8-2

2a=6

a=3

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

Answer:

y = -2x + 16

hope this helped :)

Answer:

y=(x-1)

Step-by-step explanation:

Answer:

285

Step-by-step explanation:

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

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

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/

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:

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

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:

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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)

Answer:

See below ↓↓

Step-by-step explanation:

Finding the radius

Surface Area

Volume

Answer:

college c

Step-by-step explanation:

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

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

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.

Answer:

2

- x  -1

3  

Step-by-step explanation: