Given a normal distribution with u = 104 and o = 15, and given you select a sample of n=9, complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that X is less than 95? P(X<95) = 0.0359 (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that X is between 95 and 97.5? P(95

General form y= ax^2+bx+c

standard form y = a(x-h)^2+k

where

(h,k)= vertex = (7,2)

Since the zero are at -1 and 15 we have the points

(-1,0) and (15,0)

We will use one of the points (-1,0) and the vertex in the general form:

0= a(-1-7)^2+2

0= a(-8)^2+2

0= a64+2

-2 =a64

-2/64 =a

-1/32 =a

y= -1/32 (x-7)^2+2

y =-1/32 (x-7)(x-7)+2

y= -1/32 (x^2-14x+49)+2

y= -1/32 x^2+7/16x-49/32+2

y= -1/32x^2+7/16x-113/32

Answer:

Answer below. Hope it helps.

Step-by-step explanation:

a. 2x + (x - 6)    {x = 14}

= 2*14 + (14 - 6)

= 28 + 8

= 36

b. n² + n + 1    {n = 8}

= 8² + 8 + 1

= 64 + 9

= 73

c. (r - 10) (r + 2)    {r = 13}  

= (13 - 10) (13 + 2)

= 3 * 15

= 45

Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

Answer:

-5/18 >4/3

Step-by-step explanation:

Make this brainliest , thank you!

The current exchange rate is 1 US dollar = 1 euro.

The exchange rate of a currency is the worth of one currency in respect to another, or the rate at which one currency will be exchanged for another.

The foreign exchange market, commonly known as Forex or FX, is a global decentralized market for currency trading that determines the exchange rates of such currencies.

A currency exchange rate is the rate at which one currency can be exchanged for another. In other words, the exchange rate is the price of one currency in terms of another.

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Step-by-step explanation:

Hey there!

\(\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}\)

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

\(\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}\)

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

\(\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}\)

\(\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}\) is the framed answer.

Answer:

\(\frac{y(y+2x^2)}{x(5y^2-6x}\)

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = \(2^{2}\)

Now, arrange all numbers we have found into the correct order in the fraction. This is:

\(\frac{y+2x^{2}}{x^{2} y}\)

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

\(\frac{5y^{2}-6x}{xy^2}\)

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

\(\frac{y+2x^{2}}{x^{2} y}\)  divided by \(\frac{5y^{2}-6x}{xy^2}\)

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

\(\frac{y+2x^{2}}{x^{2} y}\) x \(\frac{xy^2}{5y^2-6x}\)

Use cross multiplication to simplify the above expression to:

\(\frac{y(y+2x^2)}{x(5y^2-6x}\)

Hope this helps, sorry its long ...

Answer:

(-2,0)

Step-by-step explanation:

y=-2x-4

y=x+2

------

(-2, 0) is the answer

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

So the three consecutive numbers are:

14,15, and 16.

Step-by-step explanation:

Let the three consecutive integers be = x , x+1,  x+ 2 sum = 45

then,

x + (x + 1) + (x +2)  = 45

-> 3x + 3 = 45

-> 3x = 45 - 3

-> x = 14

-> x = 14

-> x + 1 = 15

-> x + 2 = 16

So, three consecutive numbers are : 14, 15, and 16.

1.  The area of the scale drawing is  1800 cm².

2. We can multiply the dimensions of the drawing by the scale factor of 5.

3. The area of the actual board is 45000 cm².

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

1. Therefore, The area of the scale drawing is (50×36) cm².

= 1800 cm².

2. Given, The scale factor is in the ratio of 5 : 1.

Therefore, The actual length is 50×5 cm = 250 cm and the width is 180 cm.

3. The area of the actual board is 250×180 = 45000 cm².

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The equation takes into account the initial 480 units of distance covered in the first leg and the remaining distance (480 - t) covered in the second leg. By solving this equation, one can find the value of t, which represents the time taken for each leg of the journey.

To understand the equation 600t = 480(18 – t), let's break it down. The left-hand side of the equation, 600t, represents the total distance traveled in both legs combined, with 't' representing the time taken for each leg. The right-hand side of the equation, 480(18 – t), calculates the distance covered in the first leg (480) plus the distance covered in the second leg (480 - t).

The equation is derived from the concept of distance-speed-time relationship, where distance is equal to speed multiplied by time. In this case, the distance covered in each leg is represented by 480, and the time taken for each leg is represented by 't'. The remaining distance for the second leg is (480 - t), as the time taken for the second leg is subtracted from the total time of 18 (the total journey time).

By equating the two expressions, 600t and 480(18 – t), we are essentially saying that the total distance covered in both legs is equal to the sum of the distances covered in each individual leg. Solving this equation will yield the value of 't', providing the time taken for each leg of the journey.

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Answer:

3.4 kilometers on both days

Step-by-step explanation:

\(1.45+0.5=1.95\)

\(1.45+1.95=3.4\)

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

The minimum distance the annihilation event could have occurred from the center of the machine is approximately 98.94 nanometers.

To determine the minimum distance the annihilation event could have occurred from the center of the machine, we can use the speed of light as a constant and the time difference between the collisions of the gamma rays.

The speed of light in a vacuum is approximately 299,792,458 meters per second (m/s).

Since the time difference between the collisions of the gamma rays is given as 0.33 nanoseconds, we need to convert this time to seconds. One nanosecond is equal to 1 × 10⁻⁹seconds.

0.33 nanoseconds is equal to 0.33 × 10⁻⁹ seconds.

Now, we can calculate the minimum distance using the equation:

Distance = Speed of light × Time

Distance = 299,792,458 m/s × 0.33 × 10⁻⁹ seconds

Distance ≈ 98.94 nanometers

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Answer:

D

Step-by-step explanation:

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Step-by-step explanation:

Part a:

Given

Salary = $2500

Percentage of raise = 10%

The new salary will be:

\(= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750\)

Part b:

Given

Total questions = 40

Percentage of correct answers = 85%

The required expression for correct answers is:

\(= 85\%\ of\ 40\\= 0.85*40\\=34\)

Part c:

Given

Price of phone = $250

Percentage of sales tax = 7.5%

The required expression is:

\(Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75\)

Hence,

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Answer:

The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

Step-by-step explanation:

We know that the opposite of the opposite of a number, say 2, is the number itself.

That is:

Opposite of 2 is -2.

Then the opposite of -2 is:

- (-2) = 2

It is provided that:

Assume that both Justine and Meagan started with 0 score.

Justine plays first.

If Justine answered a question incorrectly, his score would be -7.

Then Meagan plays, and answers the question correctly.

So, Meagan got the opposite score.

The opposite of -7 will be [- (-7)].

Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].

To answer this question, we need to know what an array is and how it is calculated. An array is a rectangular arrangement of numbers or objects in rows and columns.

The total number of ways that 36 photos can be arranged in rows and columns can be found using the formula: n!/(r!c!), where n is the total number of photos, r is the number of rows, and c is the number of columns.

There are many different ways that 36 photos can be arranged on a gallery wall, depending on the number of rows and columns.

Some possible options are:

6 rows x 6 columns = 1 array 6 rows x 4 columns = 2 arrays

6 rows x 3 columns = 2 arrays 6 rows x 2 columns = 3 arrays

6 rows x 1 column = 6 arrays 4 rows x 9 columns = 1 array

4 rows x 6 columns = 2 arrays 4 rows x 4 columns = 3 arrays

4 rows x 3 columns = 4 arrays 3 rows x 12 columns = 1 array

3 rows x 9 columns = 2 arrays 3 rows x 6 columns = 3 arrays

3 rows x 4 columns = 4 arrays 2 rows x 18 columns = 1 array

2 rows x 12 columns = 2 arrays 2 rows x 9 columns = 3 arrays

2 rows x 6 columns = 4 arrays 2 rows x 4 columns = 6 arrays

1 row x 36 columns = 1 array

So, the number of arrays that Courtney can make with the 36 photos depends on how many rows and columns she wants to use.

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Answer:

l00,020

I hope it's HELPFUL to you

PLEASE MARK me in BRAIN LIST

100020

Step-by-step explanation:

100×1000+20

=100000+20

=100020

Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer: 431 664.685 m2

Step-by-step explanation:

Answer:

13 m3n would be the answer

The most economic way to purchase health insurance for the family would be to insure Patrick with his employer and Susie and the twins with her employer (Option c).

Reason behind the Choice

Patrick's employer pays for 100% of his monthly health insurance premium of $378

In this case, additional beneficiary for the twins = $280*2 = $560

Susie's employer pays 63% of her $403 monthly premium, and is ready to pay 32% of the $310 monthly premium for each additional beneficiary.

Total money to be paid in this case = 37% of $403 +2*(68% of $310)

= $570.71

Considering that Patrick's health insurance cost is lower than Susie's, it makes sense for him to get health insurance via Patrick's company.

For the twins, Susie's employer offers to pay 68% of $310 for each additional beneficiary. So, the most viable deal would be to buy Patrick's health insurance from his employer and Susie and the twin's health insurance from her employer.

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Answer:

C. Insure Patrick with his employer and Susie and the twins with her employer.

Solution :

Given

\($W_1$\) = weight of the first side

    = 6 kg = 6000 g

\($D_1$\) =  distance of the first weight from the triangle.

     = 3 m = 300 cm

\($D_2$\) = distance of the first weight from the triangle.

    =  600 cm

Let, \($W_2$\) = weight of the second side

So,  \($W_1$\) x \($D_1$\)  = \($W_2$\) x \($D_2$\)

or  \($W_2=\frac{W_1 \times D_1}{D_2}$\)

  \($W_2=\frac{6000\times 300}{600}$\)

        = 3000 g

Therefore, the quantity that is used to replace the question mark in order to make the scale balance is 3000 g.

Answer:

1/24 ??

Step-by-step explanation:

1/24

or

0.416.....

I dont mind brainliest at all

Answer:

Multiproperty

Step-by-step explanation:

To solve this problem, we use different properties to arrive at our answer.

  Given expression;

               4(x + 3) = 20;

   First we use the distributive property to expand;

              4x + 12  = 20

       Now use subtraction property by adding (-12) to both sides;

              4x + 12 + (-12)  = 20 + (-12)

              4x  = 8

           you can now divide by 4,

                   x  = 2