Cricket chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is the random variable representing temperature (F). These data are also available for download at the online study center.X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0X 15.4 16.2 15.0 17.2 16.0 17.0 14.4Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3Complete parts (a) through (e), given ?x= 249.8, ?y=1200.6, ?x^2= 4200.56, ?y^2= 96,752.86, ?xy= 20,127.47 and r = 0.835.A) Draw a scatter diagram displaying the data.B) Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.C) Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.D) Find the value of the coefficient of determination r ^2. What percentage of the variation in y can be explained by the corresponding variation in x and the least squares line? What percentage is unexplained?E) What is the predicted temperature when x= 19 chirps per second.

9514 1404 393

Answer:

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation

Answer:

IGJ=90-38

=52

answer is option c

Answer:

The first option is correct

Step-by-step explanation:

Hope it is helpful....

Answer:

Rs. 18080

Step-by-step explanation:

Given :

Marked price = Rs. 20000

Discount = 20%

Discounted price = (100-20)% * marked price

Discounted price = 80% * 20,000 = Rs. 16,000

The VAT = 13%

VAT charge = 13% * 16,000 = Rs. 2080

Final price = discounted price + VAT charge

Final price = 16000 + 2080 = Rs. 18080

The perimeter of window is 28 feet

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

Answer:

2^26

Step-by-step explanation:

For a true - false examination ; number of options or possible outcomes = 2

Number of questions = 26

Using the counting principle ; the number of elements in the sample space ;

(2 * 2 * 2 *... * 2) for the entire 26 questions

This is equivalent to : 2^26

2^26 = 67108864

Answer:

answer is option B since they are in GM

Answer:

[tex]\text{b. }786,432[/tex]

Step-by-step explanation:

The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].

What we know:

Substituting given values, we get:

[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]

0-10

A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.

The probability of getting 5 on spinner is 0.25.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, on the spinner there are four numbers {3, 4, 5, 6}.

Number of favorable outcomes = 1

Total number of outcomes = 4

So, P(5) = 1/4

= 0.25

Therefore, the probability of getting 5 on spinner is 0.25.

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Answer:

The equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

[tex]f(x) = A*e^{k*x}[/tex]

Replacing that in the second equation, we get:

[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]

From that equation, we can conclude that k = 2

Then:

[tex]f(x) = A*e^{2*x}[/tex]

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]

Then we can conclude that the equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Answer:

B. 6

Step-by-step explanation:

We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.

Answer:

Area of triangles 1 = 18 ft²

Area of triangles 2 = 16 in²

Area of triangles 3 = 90 yd²

Step-by-step explanation:

Given:

1] Height of triangle = 4 ft

Base of triangle = 9 ft

2] Height of triangle = 4 in

Base of triangle = 8 in

3] Height of triangle = 12 yd

Base of triangle = 15 yd

Find:

Area of triangles

Computation:

Area of triangles = (1/2)(Base)(Height)

Area of triangles 1 = (1/2)(4)(9)

Area of triangles 1 = 18 ft²

Area of triangles 2 = (1/2)(4)(8)

Area of triangles 2 = 16 in²

Area of triangles 3 = (1/2)(12)(15)

Area of triangles 3 = 90 yd²

Answer:

Hello! answer: 84

Step-by-step explanation:

This is 360 degrees therefore 84 is the answer

84 + 84 + 96 + 96 = 360 degrees

Answer:

Mean number of holidays taken =26.6

Step-by-step explanation:

To find the mean,

We use Σfx/Σf

Σfx =150+234+189+84+0+60

=717

Σf= 6+9+7+3+0+2

=27

Σfx/Σf= 717/27

26.6

P - Parenthesis ( )

E - Exponents ²

M - Multiplication ×

D - Division ÷

A - Addition +

S - Subtraction -

Question : 21 ÷ (14 - 11) + 2⁴

1st step : Subtract the two numbers inside the Parenthesis

⇒   21 ÷ 3 + 2⁴

2nd step : Calculate the value of 2⁴ which is related to Exponents

⇒   21 ÷ 3 + 16

3rd step : Perform Division

⇒   7 + 16

4th step : Perform Addition

⇒   23

Answer: 23

Answer:

√144 * 0.25 is rational!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

slant height of the exagon = side/2 * √3 = 2.5√3 cm

area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2

Volume of the prism = area of the hexagon * height = 974,278579 cm^3

Volume of the cylinder = radius^2 *  pi * height = 36 * pi * 15 = 1.696,460033 cm^3

volume of the kaleidoscope = 722,181454 cm^3

Answer:

hi please upload the photo so we can help :)

Answer:

A:12p^3r and D:54p^3

Step-by-step explanation:

Answer:

The answer is "272.02 ".

Step-by-step explanation:

Please find the complete solution in the attached file.

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

Answer:

d (w) = 0.1w² – w+ 5

Step-by-step explanation:

d(w) = c(w) - a(w)

= -0.3w²+2w+13 -(-0.4w²+3w+8)

= -0.3w²+0.4w²+2w-3w+13-8

= 0.1w²-w+5

Answer:

d (w) = 0.1w2 – w+ 5

Step-by-step explanation:

I took the test

Answer:

x = 65

Step-by-step explanation:

if two triangles are similar then we can use the similarity ratio to find the length of CH

60/156 = x/169 cross multiply expressions

156x = 10140 divide both sides by 156

x = 65

72/360 = x/10pi

1/5 = x/10pi

x = 2pi

6.3 cm

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

Answer:

no solution

Step-by-step explanation:

__________

There are ''infinite number of solutions'' does this linear system have.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Linear systems are,

⇒ y = -1/2x + 4  ... (i)

⇒ x + 2y = 8  .. (ii)

Now, From equation (ii);

⇒ x + 2y = 8

⇒ 2y = - x + 8

⇒ y = - 1/2x + 4

Which is same as equation (i).

Hence, There are infinite number of solutions does this linear system have.

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Step-by-step explanation:

-8=6x-1

You will move the-8 to the right hand side which will become +8 and then you move+6x to the right hand side which will become -6x

-6x=-1+8

-6x=7

You will divide both sides by-6

-6x/-6=7/-6

x=7/-6

Answer:

CU=-3(5,-12)

CU=36-15

CU=21

The answer is A=21

Answer:

[tex]=21[/tex]

Correct option is A

Step-by-step explanation:

[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]

Step-by-step explanation:

(340*20)-3

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