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 a 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 17.1
Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0

X 15.4 16.2 15.0 17.2 16.0 17.0 14.4
Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3

Required:
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.

Answer:

5,670,279

Step-by-step explanation:

3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279

Answer:

She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes

Answer:

1/9a2

Step-by-step explanation:

I'm not sure if there's supposed to be a list of answers, but 1/9a2 is one. Hope this helps! Let me know if there was supposed to be a list.

Answer:

removing of bracket

Step-by-step explanation:

(3a)-2

3a×(-2)

-6a

Answer:

B. 55°

Step-by-step explanation:

Recall: relationship between inscribed angle and the measure of the intercepted arc [(inscribed angle = ½(intercepted arc)]

Inscribed angle = m<WZY

Intercepted arc = arc WY = 110°

Therefore:

m<WZY = ½110°)

m<WZY = 55°

Answer:

188 sq m

Step-by-step explanation:

for the top square its just 6 x 6 which is 36

then for the bottom you add 6 + 13 for the width (which is 19) and we've already been given 8 for the height so then you multiply 19 x 8 and get 152

you then add 152 and 36 to get 188 (and the unit is sq m or m^2)

Answer:

75%

Step-by-step explanation:

24/32 * 100%

75%

Answer:

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Step-by-step explanation:

the two solid lines are perpendicular, creating 4 right angles

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Answer:

904.8cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi{(6)}^{3} \\ \frac{4}{3} \pi(216) \\ \frac{864}{3} \pi \\ 288\pi \\ 904.8 {cm}^{3} [/tex]

The volume of the sphere will be 904.32 cubic cm.

Let r be the radius of the sphere. Then the volume of the sphere will be given as,

V = 4/3 πr³ cubic units

The radius of the sphere is 6 cm. Then the volume of the sphere is calculated as,

V = 4/3 x 3.14 x 6³

V = 904.32 cubic cm

The volume of the sphere will be 904.32 cubic cm.

More about the volume of the sphere link is given below.

https://brainly.com/question/9994313

#SPJ7

Answer:

a = 1000 cm²

Step-by-step explanation:

Center square

20 * 20 = 400cm²

------------------------

Triangle side

a = (1/2)(20)(15)

a = 150

There are 4 sides

a = 4 * 150

a = 600 cm²

-----------------------

Total area

a = 400 - 600

a = 1000 cm²

Answer: [tex]x+3, x \neq -6[/tex]

Step-by-step explanation:

The denominator cannot equal 0, so [tex]x \neq -6[/tex].

Simplfying,

[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]

Answer:

Correct answer is "reflection, then rotation".

Step-by-step explanation:

The figure shows the following two operations:

1) Reflection through central horizontal line. ([tex]1 \to 2[/tex])

2) Rotation with center at the upper left corner of the reflected figure. ([tex]2 \to 3[/tex])

Therefore, correct answer is "reflection, then rotation".

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

[tex]S = d^2\pi[/tex]

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

Surface area decreases at a rate of 9 cm2/min

This means that [tex]\frac{dS}{dt} = -9[/tex]

At which the diameter decreases when the diameter is 10 cm?

This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So

[tex]\frac{dS}{dt} = 2d\pi\frac{dd}{dt}[/tex]

[tex]-9 = 2(10)\pi\frac{dd}{dt}[/tex]

[tex]\frac{dd}{dt} = -\frac{9}{20\pi}[/tex]

[tex]\frac{dd}{dt} = -0.143[/tex]

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Answer:

a = 0

Step-by-step explanation:

4(a-2) = 2(a-4) + 2a

4a - 8 = 2a - 8 + 2a

4a - 2a - 2a = -8 + 8

    0             =    0

This has infinitely many solutions.

Step-by-step explanation:

Any number you put for a would work to make them equal. Feel free to try it.

Answer:

cap it's only 5

Step-by-step explanation:

Answer:

I think she drove 65 mile.

Step-by-step explanation:

I used a piece of paper and drew a triangle. One side 25 and another 60.

Then i used the Pythagorean theorem.

Answer:

Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.

Answer:

A

Step-by-step explanation:

Answer:

648 m.

Step-by-step explanation:

Each walk = 2*81 = 162 m.

So total for 4 walks = 4 * 162

= 648 m.

Answer:

Josh walked 324 meters

Step-by-step explanation:

81×4= 324

Answer:

3 beause when you dividend it -5.6+4(3) .

Answer:

translation then rotation

Answer: 19

Step-by-step explanation: Since there is no one middle number we have to find the mean of the two middle numbers. Once you find the mean for 24 and 11 you will see that the answer is 19.

Answer:

The median is the middle number in numerical order.

Numerical order - [tex]11,12,14,24,27,72[/tex]

There are 6 numbers.

The median is 19.

Answer:

It doesn't show the statements so I'll create some.

Step-by-step explanation:

ABCD make a shape with 2 pairs of parallel lines.

ABCD when broken apart can create 4 triangles

Answer:

x=4, -4

Step-by-step explanation:

hope this helps!

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

Answer:

3/7

Step-by-step explanation:

430 +200 = 630   (630 people in all)

430-160 =270 (270 men  NO WHITE CAR)

        270/630  =    3/7

Answer:

D) 225

Step-by-step explanation:

Given in chart. The box at column "Milk Sold" and row "Friday" has the number 225 in it. Cumulative milk sold refers to the total number of milk sold through the entire chart (from top to bottom) so far. The question is asking for how many milks were sold on Friday specifically, so we want the "Milk Sold" column.

Answer:

m<B = 107°

Step-by-step explanation:

∆ADC is congruent to ∆ABC by the SSS Congruence Theorem.

<D corresponds to <B, therefore,

m<D = m<B

m<D = 180° - (41° + 32°)

m<D = 180° - 73°

m<D = 107°

m<D = m<B = 107°

m<B = 107°

Answer:

H0 : p = 0.028

H1: p > 0.028

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

Type 11 error

Step-by-step explanation:

H0 : p = 0.028

H1: p > 0.028

If null should not be rejected then;

We conclude that there is not enough evidence to support the school counselor's claim they the use of electronic cigarettes in high school is higher Than 2.8%

3.)

If the actual proportion is 0.034, which means 3.4%, this means it is actually higher. For failing to reject a false Null, then a type 11 error has been committed