The average price of a personal computer (PC) is $949. If the computer prices are approximately normally distributed and standard deviation is $100, what is the probability that a randomly selected PC costs more than 1200? The least expensive 10% of personal computers cost less than what amount?

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

If the smaller rectangle has a length of 4.3 millimeters and width of 4.5 millimeters while a larger rectangle has a length of x millimeters and width of 24.3 millimeters, then;

4.3/x = 4.5/24.3

Cross multiply

4.5x = 104.49

x = 23.22mm

Perimeter of original rectangle = 2(4.3 + 4.5)

Perimeter of original rectangle = 17.6mm

Perimeter of enlarged rectangle = 2(23.22 + 24.3)

Perimeter of enlarged rectangle = 95.04mm

The perimeter of the original rectangle is 17.6mm. The side length of the enlarged rectangle is 23.22mm and the perimeter of the enlarged rectangle is 95.04mm

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Answer:

17.6mm, 23.22mm, 95.04mm

Step-by-step explanation:

The estimator sample proportion is mathematically unbiased

Generally, the equation for is  mathematically given as

Population sample \mu=1.3

The sample to sample proprotion table will have

first column= 3,5 3,5 3,10,5,3 5,5 5,10 10,3 10,5 10,10

Second coumn= 0,0,0.5,0,0,0.5,05,0.5, total 3

The probability distribution of the distinct variance values table will have

p row=0,0.5,1, Total

probability row= 4/9, 4/9, 1/9, 1

In conclusion, The mean sample

x=3/9

x=1.3

Where

population sample \mu=1.3

\mu= x

Therefore the estimator sample proportion is unbiased for population mean

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The domain is [2,6] and the range is  [-2,0].

The Domain is all the possible input values to the function, while the range is all the possible values a function can have as an output.

The parabola has endpoints of (2,-2) and (6,-2).

The vertex is (4,-6)

The domain is [2,6]

The range is [-2,0]

Therefore, the domain is [2,6] and the range is  [-2,0].

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Answer:

$350

Step-by-step explanation:

Let the bench cost $x

Then the garden table costs $x - 43

x + (x - 43) = 657

2x =  657 + 43

2x = 700

x = 350

The cost of the bench is $350.

Nice day to you!

The measure of sin C from the figure is 0.92

These identity is used to determine the measure of sides and angles of a triangle.

From the triangle

Opposite side to m<C = 12

'Hypotenuse = 13

Using the expression

sinC = BC/ACC

sinC = 12/13

sinC = 0.92

Hence the measure of sin C from the figure is 0.92

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The attached graph represents the graph of the line

The given parameters are:

Slope, m = -3

(x1, y1) = (-3, -2)

The equation is calculated as:

y = m(x - x1) + y1

So, we have:

y = -3(x + 3) - 2

Expand

y = -3x - 9- 2

Evaluate the difference

y = -3x - 11

See attachment for the graph of y = -3x - 11

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Answer:

550 square feet

Step-by-step explanation:

There are 4 areas where the pool deck is situated on:

Top, Left, Right, and Bottom of the pool.

So if the deck is 5 feet wide:

Top = (35 feet * 5 feet) = 175

Bottom = (35 feet * 5 feet) = 175

Left = (20 feet * 5 feet) = 100

Right = (20 feet * 5 feet) = 100

175 + 175 + 100 + 100 = 550 square feet

The radius of the base of the vase in cm to 2 dp is 0.08m

The formula for calculating the pressure of a object is expressed as;

Pressure = Force/Area

Area = Force/Pressure

Area = 15/750

Areas = 0.02m²

Since the area of the circular base is πr², then;

πr² = 0.02

r² = 0.02/3.14

r = 0.0798m

Hence the radius of the base of the vase in cm to 2 dp is 0.08m

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The precise equation that represents the situation is as follows:

His cell phone plan provides  300 free minutes each month for a flat rate of $19.

let

x = number of minutes used

Therefore,

$19, x ≤ 300

For any minutes over 300, Andrew is charged 0.39 per minute.

Therefore,

if x > 300

f(x) = 19 + 0.39(x - 300)

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The $1 belongs in the box.

s + c = 47 equation 1

5s + 4c = 200 equation 2

Multiply equation 1 by 5

5s + 5c = 235

Subtract equation 2 from equation 3

c = 35

Subtract 35 from 47

c = 47 - 35 = 12

35 couples tickets and 12 individual tickets were sold. This is not possible since the couples tickets were sold in 2.

s + c = 47 equation 1

5s + 4c = 201 equation 2

Multiply equation 1 by 5

5s + 5c = 235

Subtract equation 2 from equation 3

c = 34

34 is divisible by 2 so the $1 belongs in the box.

Here is the complete question:
Nola was selling tickets at the high school dance. At the end of the evening, she picked up the cash box and noticed a dollar lying on the floor next to it. She said,

I wonder whether the dollar belongs inside the cash box or not.

The price of tickets for the dance was 1 ticket for $5 (for individuals) or 2 tickets for $8 (for couples). She looked inside the cash box and found $200 and ticket stubs for the 47 students in attendance. Does the dollar belong inside the cash box or not?

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The rate at 14% and 5% are $12, 883 and $2191 respectively.

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = [tex]15, 074 - y[/tex]

Substitute in equation 2

[tex]0. 14(15, 074 - y) = 0. 05y + $1694. 07[/tex]

Expand the expression

[tex]2, 110. 36 - 0. 14y = 0.05y + 1694. 07[/tex]

Collect like terms

[tex]416. 29 = 0. 19y[/tex]

Make 'y' the subject

y = [tex]\frac{416. 29}{0. 19}[/tex]

y = [tex]$2, 191[/tex]

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = [tex]$15, 074 - 2191[/tex]

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

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Answer:

30 cans :)

Step-by-step explanation:

We need to divide to solve so lets do that now :)

15 x 4 = 60

60/2 = 30

Have an amazing day!!

Please rate and mark brainliest!!

Step-by-step explanation:

[tex] \sec( \alpha ) - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \cos( \alpha ) [/tex]

[tex] \frac{1}{ \cos( \alpha ) } - \frac{ \cos {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin {}^{2} ( \alpha ) }{ \cos( \alpha ) } [/tex]

[tex] \frac{ \sin( \alpha ) }{ \cos( \alpha ) } \times \frac{ \sin( \alpha ) }{1} [/tex]

[tex] \tan( \alpha ) \sin( \alpha ) [/tex]

4 is the option

The sum of the first five terms of the geometric sequence is -1555

The formula for calculating the sum of geometric sequence is expressed as:

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

where

r is the common ratio = 6/1 = 6

a is the first term = -1

n = 5 (number of terms)

Substitute

[tex]S_5=\frac{-1(6^5-1)}{6-1}\\S_5=\frac{-7776+1}{5}\\S_5=-1555[/tex]

Hence the sum of the first five terms of the geometric sequence is -1555

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The regression equation is calculated as: ŷ = -0.99299X + 26.39918

We have these data for the x axis

12 15 20 22 15 8 6 17

These are the values for the y axis

17 15 6 7 6 18 21 7

Sum of X = 115

Sum of Y = 97

Mean X = 14.375

Mean Y = 12.125

Sum of squares (SSX) = 213.875

Sum of products (SP) = -212.375

Regression Equation = ŷ = bX + a

b = SP/SSX = -212.38/213.88 = -0.99299

a = MY - bMX = 12.13 - (-0.99*14.38) = 26.39918

ŷ = -0.99299X + 26.39918

These values where inputted into a regression analysis calculator and the output is ŷ = -0.99299X + 26.39918

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Plane figures are shapes with straight sides. Considering the movement to be lower than the initial path, there are eleven (11) paths from A to B.

A plane figure is given shape with straight sides. And these sides connect each edge of the figure one to another. Examples are triangles, quadrilaterals, polygons, etc.

A path is a connection or link between two reference points. This could be a footpath or a motorable path or other forms of the path.

Considering the given plane figure in the question, it can be observed that the total number of paths from A to B with respect to the given condition is eleven.

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The total revenue for Saturday and Sunday is $1917.50

We know that 815 tickets were sold on Saturday, and on Sunday the number of tickets sold decreased by 96.

Then the total number of tickets sold in the two days is:

(815) + (815 - 96) = 1534

And we know that each ticket costs $1.25

Then the total revenue is:

R = $1.25*1534 = $1917.50

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What this question is asking us is

A) From -40C to 5 0c How much did it rise

The formula for this would be

Risen Temperature - Initial Temperature

The risen temparauture is 5 so we plug the 5 in first then the 4 so it would look like

5-(-4)=9

And remeber when you have 2 negatives it becomes a positie, 5+4=9

The asnwer for A is 9 degress

B) The tempurater then fell by 7 degress from 5 so we just have to do

5 - 7

which is -2 Celcius

Answer:

a was i believe 10 degrees and b dropped 3- degrees

Step-by-step explanation:

Because  4- 3- 2- 1- 0 1  2 3 4 5

                    1   2   3  4 5 6 7 8 9

4 is the start don't forget that

And for b 5 dropped from 7 degrees just take 5 now ur at 0 and u have 3 more to take boom ur at 3- hope this hellped :)

1) First find the coordinates of the shape:

G(-1, -2), F(-1, -1), E(2,2), D(2, -2)

2)It asked for dilation of 2 about the origin.

*What is dilation?

Dilation is the expanding/enlarging a transformation by a scale factor

Now we multiply all the coordinates with the factor of 2

G(-1*2, -2*2) = G'(-2, -4)

F(-1*2, -1*2) = F'(-2, -2)

E(2*2, 2*2) = E'(4, 4)

D(2*2, -2*2) = D'(4, -4)

3) Now plot these points and graph the transformation:

Answer:

Quadratic polynomial (Biggest power is 2). It's also a trinomial (3 unlike terms)

Answer:

True.

Step-by-step explanation:

Lateral Surface area of cone=πrl=πr×2h=2πrh

Lateral surface area of cylinder=2πrh

Resolviendo una ecuación lineal veremos que que Manuel tiene 36 años.

Vamos a definir la edad de Manuel como x.

Sabemos que la mitad mas el tercio mas la cuarta parte de x es igual que x más 3, entonces:

x/2 + x/3 + x/4 = x + 3

Ahora podemos resolver esta ecuación lineal para x:

x/2 + x/3 + x/4 - x = 3

x*( 1/2 + 1/3 + 1/4 - 1) = 3

x = 3/(1/2 + 1/3 + 1/4 - 1) = 36

Así, concluimos que manuel tiene 36 años.

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All polar coordinates of point P where P = ordered are given are mathematically given as

(6, negative pi divided by 5 + 2nπ) or (-6, negative pi divided by 5 + (2n + 1)π)

Option B is correct.

Generally, the equation for all polar coordinates is mathematically given as

[tex]P= 6,\frac{-pi}{5}[/tex]

Finding the whole set of polar coordinates for An arbitrary point's polar coordinates may be written as (r, ), where (r, ) = (r, +2n) for some n and r.

If n is a positive integer and r is negative, then (r,) = (-r, +(2n+1)).

In conclusion, we may solve the problem by setting r = 6 and = -/6.

If n is an integer and r is positive, then P(6,-/6) = (6, -/6) + 2n, and if n is an integer and r is negative, then P(-6,-/6) = (-6, -/6) + (2n+1).

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Answer:

C. Vertex (1;-25)

F. x-intercepts: (-4;0), (6;0).

Step-by-step explanation:

1) x-coordinate of the vertex: -b/2a=1; y-coordinate of the vertex: -25;

2) for x-intercepts it needed to solve the equation x²-2x-24=0;

x=6;-4;

3) finally, correct answers are: C. Vertex (1;-25) and F. x-intercepts: (-4;0), (6;0).

Answer:

given : 0.61 per year

formula poisson probability : p(x=k)=xke-x/k!

(a) The parameter λ is the product of the rate per year and the number of years. The number of years is 1 year in this case.

λ=0.61×1=0.61

Evaluate the formula of the Poisson probability at k=0,1:

P(X=0)= 0!

(0.61)

0

e

−0.61

​

≈0.5434

P(X=1)=

1!

(0.61)

1

e

−0.61

​

≈0.3314

Add the corresponding probabilities:

P(X≤1)=P(X=0)+P(X=1)=0.5434+0.3114=0.8748

Use the complement rule:

P(X>1)=1−P(X≤1)=1−0.8748=0.1252

Note: The solution in the back of the book is the probability of at least one death instead of more than 1 death, thus the solution in the back of the book is not correct.

Step-by-step explanation:

this is prob wrong so im sorry in advance!

Part A

[tex]\overline{AC}[/tex] and [tex]\overline{BD}[/tex]

Part B

Diagonals of a parallelogram bisect each other, so

[tex]BE=ED \implies 2x+3=3y-4 \implies 3y=2x+7 \implies y=\frac{2}{3}x+\frac{7}{3}\\\\AE=EC \implies y+4=4x-6 \implies y=4x-10[/tex]

Solving by substitution,

[tex]\frac{2}{3}x+\frac{7}{3}=4x-10[/tex]

Multiplying both sides by 3,

[tex]2x+7=12x-30\\\\37=10x\\\\x=3.7[/tex]

So, [tex]y=\frac{2}{3}\left(\frac{37}{10} \right)+\frac{7}{3}=\frac{24}{5}[/tex]

Part C

[tex]BE=ED=2(3.7)+3=10.4\\\\AE=EC=4(3.7)-6=8.8[/tex]

[tex]\therefore BD=2(10.4)=20.8, AC=2(8.8)=17.6[/tex]

Answer:

We can now take 2 as the third digit, 3 as the fourth digit, 4 as the fifth digit and finally 5 as the sixth digit. Therefore, the smallest 6-digit number having all different digits is 102345.

The smallest 6-digit multiple of 4 with all different numbers is 102,564. This number is obtained by incrementing from 100,000 until finding a divisible number with distinct digits.

A number that is the result of a given number plus another natural number is said to be a multiple of that number.

Since the smallest 6-digit number, is 100,000.

Check if this number is divisible by 4.

In this case, it is not.

Increment the number by 1 to get 100,001.

Repeat step 2. Not divisible by 4.

Increment the number by 1 to get 100,002.

Repeat step 2. Not divisible by 4.

Increment the number by 1 to get 100,003.

Repeat step 2. Not divisible by 4.

Continue this process until you find a number that is divisible by 4 and has all different digits.

After following these steps, we find that the smallest 6-digit multiple of 4 with all different numbers is 102,564.

Hence,

The required number is 102564.

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Answer:

3.55 per person

Step-by-step explanation:

To find the amount of money per person, take the total amount of money and divide by the number of people

10.65 /3

3.55 per person

Answer:

$3.55 for everyone

Answer:

Price of redwood= $3.4

Pine =$1.3

Answer:

the answer to that would be y=3x-9