19
Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given along
with the surrounding temperature (y):
(10 pts)
#chirps/min 20.0 16.0 19.8 18.4 17.1
Temperature (°F) 88.6
71.6 93.3 84.3 80.6
a)
Find the correlation coefficient, r. Would you say there is a significant linear correlation? Why or
why not?
b)
Give the linear regression equation. Round your numbers to three decimal places,
c)
Use your equation to predict the temperature when a cricket chirps 17 times per minute, or state
that it is inappropriate.
d)
Use your equation to predict the temperature when a cricket chirps 30 times per minute, or state
that it is inappropriate.
e)
Find and interpret the coefficient of determination (r2)

Answer:

nope

Step-by-step explanation:

it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.

Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.

Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

Answer:

Answer:

21378.6

Step-by-step explanation:

You move the decimal point four places towards the right.

Answer:

21378.6

Step-by-step explanation:

Answer:

x = 7, y = 45

Step-by-step explanation:

\(7x+13=6x+20\)

\(x=20-13\\x=7\)

Angle

\(7(7)+13=49+13=62^{0}\)

supplementary angle

180 - 62 = 118°

\(3y-17=118\)

\(y=\frac{118+17}{3} =135/3=45\)

Hope this helps

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

Learn more about finding the number of bacteria where it increases at a given rate here:

https://brainly.com/question/12024034

#SPJ1

Answer:

the correct answer to this equation would be: >

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequality:

|b| > 6

Hence:

b > 6 and -b > 6

b > 6, and b < -6

The compound inequality equivalent to the absolute value inequality |b|>6 is b > 6, and b < -6

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Answer is A

Step-by-step explanation:

Got it right on the quiz

Answer:

314.5

2252.5

250

Step-by-step explanation:

The table that shows the amount of strawberry picked by Joslyn is a linear function

Rebecca's rate is greater than Joslyn's rate

From the table, we have the following values

(x,y) = (0,0) and (3,6)

The rate is then calculated as:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{6 - 0}{3 - 0}\)

Evaluate

\(m = 2\)

This means that:

Joslyn's rate is 2 cups per minute

From the question, we have:

Rebecca's rate is 2.5 cups per minute

2.5 is greater than 2

This means that:

Rebecca's rate is greater than Joslyn's rate

Read more about linear functions at:

https://brainly.com/question/15602982

The value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ1

Answer:

See below

Step-by-step explanation:

Since the shape of the truck isn't given and the volume, we will make some assumptions. You can solve this problem if you have the complete one by following the same procedure. Lets assume:

Shape of Truck is Cuboid

The dimensions of the Truck is 9 by 9 by 9

First, we need to find the volume of the cuboid truck.

Volume is basically 3 dimensions multiplied together. So that would be:

Volume of Truck = 9 * 9 * 9 = 729 cubic feet

Each box has a volume of 9 cubic feet. To get number of boxes that evenly fit the truck, we would need to divide the truck's volume by volume of each box.

729/9 = 81 boxes

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

We can conclude that the equation of the circle is (x - 3)² + (y + 6)² = 32, where (3, -6) is the center and 4√2 is the radius. Option 3 and 6 are correct  options.

Based on the information given, we know that circle has its center at the point (3, -6) and a radius of 4√2. We also know that the point (-1, -2) and (4, -0.5) are on the circle.

Using the distance formula, we can confirm that the distance between the center of the circle and each of these points is indeed 4√2.

This equation can be simplified to x² - 6x + y² + 12y + 1 = 0 by expanding and combining like terms. This is the equation of circle , and any point that satisfies this equation will be on the circle. Option 3 and 6 are correct  options.

To learn more about : equation

https://brainly.com/question/17145398

#SPJ11

The average rate of change of the function over the interval is 4

From the question, we have the following parameters that can be used in our computation:

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

Read more about average rate of change at

https://brainly.com/question/17131025

#SPJ1

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

\((15 + x) : (12 + 8) = x : 8\)

\(15 + x : 20= x : 8\)

Convert to fraction

\(\frac{15 + x}{20} = \frac{x}{8}\)

Cross Multiply:

\((15 + x)*8 = 20 * x\)

\(120 + 8x = 20x\)

Collect Like Terms

\(20x - 8x = 120\)

\(12x = 120\)

Solve for x

\(x = \frac{120}{10}\)

\(x = 10\)

The length of the missing side is 10

Answer:

The shortcuts is

     Divide number of units by 100

Step-by-step explanation:

From the question we are told that

  insulin u-100 is  \(L = 100 \ unit /mL\)

 From the data given above we see that

           100 units of  insulin u-100 is contained in  1 mL

So         1 unit of  u-100 is contained in  x mL

=>       \(x = \frac{1}{100} \ mL\)

This means that a unit of  insulin u-100 occupies  \(x = \frac{1}{100} \ mL\)

So we can represent a single unit of insulin u-100 as  \(\frac{1}{100} \ mL\)

  Now if 1 unit of insulin u-100 is represented  as    \(\frac{1}{100} \ mL\)

Then y unites of   insulin u-100  is represented as  z

So

         \(z = \frac{y}{100} \ mL\)

From the above calculation we can see that the shortcuts to convert  u-100 insulin given in units, to mL is to  divide  number of units by 100

In order to determine the number of calories for each item, it is necessary to write a system of equations.

If x is the number of calories cheeseburgers have and y the number of calories medium fries have, then, you have:

4x + 3y = 2290 (1)

6x + 2y = 2560 (2)

To solve the previous system, multiply the first equation by 2 and the second equation by 3:

2(4x + 3y = 2290)

8x + 6y = 4580 (3)

3(6x + 2y = 2560)

18x + 6y = 7680 (4)

next, subtract the last equation to the equation (3):

8x + 6y = 4580

-18x - 6y = -7680

-10x + 0 = -3100

from the previous result, solve for x:

-10x = -3100

x = 3100/10

x = 310

next, replace the value of x into the equation (1) and solve for y:

4x + 3y = 2290

4(310) + 3y = 2290

1240 + 3y = 2290

3y = 2290 - 1240

3y = 1050

y = 350

Hence, the number of calories of cheeseburgers is 310, and the number of calories of medium fries is 350.

Answer:

7.7 square feet

Step-by-step explanation:

38.5 divided by 5, equals 7.7.

Hope this helps

Answer:

10

Step-by-step explanation:

80 = l(l - 2) = l2 - 2l. Solve the quadratic to find solutions l = 10 and l = -8. You can't have a negative side, so the length of the rectangle must be 10.

Statement B is true: The population will increase by 9%.

Various Functions:

A single function (Injective function) Many – one function. From onto function (Surjective Function) Function is into. polynomial operation.

P(t)=18,751(1.09)t is the population function, where t is the time in years.

The function's growth factor or multiplier, which is bigger than 1, is represented by the expression (1.09t). In other words, the population is growing over time.

Finding the difference between the final and starting values, dividing by the initial value, and then multiplying by 100% will give us the percentage growth in the population.

Let's contrast the population at t=0 and t=1 to see how they differ:

P(0) = 18,751(1.09)^0 = 18,751

P(1) = 18,751(1.09)^1 = 20,436.59

In the last year, the population has grown from 18,751 to 20,436.59.

The population has grown by the following amount:

[(20,436.59 - 18,751)/18,751] × 100% ≈ 9.0%

Thus, the population will grow by 9%, as stated in statement B.

To know more about Function visit:

https://brainly.com/question/14996337

#SPJ1

8/21 of the lawn still needs to be mowed.

To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.

Miss Lianto's fraction: (2/7) x (3/3) = 6/21

Son's fraction: (1/3) x (7/7) = 7/21

To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:

Combined fractions mowed: 6/21 + 7/21 = 13/21

So, Remaining fraction: 1 - 13/21 = 8/21

Therefore, 8/21 of the lawn still needs to be mowed.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ1

Answer:

34 degrees Celsius

Step-by-step explanation:

For this question, you just find the sum of the two temperatures:

-4+38 = 34

The test statistic is given as follows:

z = -1.77.

As the test statistic is less than the critical value for the left-tailed test, this evidence demonstrates that the direct mail campaign is not cost effective.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(p = 0.28, n = 165, \overline{p} = 0.2182\)

The critical value for a left tailed test with a significance value of 0.05 is given as follows:

z = -1.645.

The test statistic is then given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.2182 - 0.28}{\sqrt{\frac{0.28(0.72))}{165}}}\)

z = -1.77.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Answer:

0.37585

once again just look up the numbers on the Z table..

in this case you want the values to the LEFT of z=-.79 and to the RIGHT of z=.99

Step-by-step explanation:

-0.79 (L)0.21476  

0.99 (R)0.16109

0.37585

The numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have given:

The standard deviation value = NOT between -0.79 and 0.99

= P(not between - 0.79 and 0.99)

= P( x <  -0.79) + P(x > 0.99)

= 1 - P( x < 0.79) + 1 - P(x < 0.99)

From the Z-table:

P( x < 0.79) = 0.7852

P(x < 0.99) = 0.8389

= 2 - 0.7852 - 0.8389

= 2 - 1.6241

= 0.3759

Thus, the numerical value of the area under the normal curve is 0.3759 if the standard deviation value is NOT between -0.79 and 0.99.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ5

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

Find more exercises on  trigonometric identity;

https://brainly.com/question/24377281

#SPJ1

Answer:

\(\displaystyle -2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

a = 4

b = 8

f(4) = -1

f(8) = -9

Step 2: Find Average Rate

Answer:

50.3 (rounded) I think? Could be wrong, however, it's what I got

Answer:

y= -5/4x + 1

Step-by-step explanation:

Slope-intercept form: y=mx+b

M is the slope

B is the y-intercept.

The slope is -5/4.

M = -5/4

y = -5/4 + b

We're looking for the y-intercept. Substitute point in.

(4,-4) x= 4 y= -4

-4 = -5/4(4) + b

-4 = -5+b

b= 1

y= -5/4x + 1