Biologists are interested in how temperature changes might affect the frequency of mating calls of frogs. Twenty gray tree frogs are randomly chosen for a study. For each frog, the temperature of its habitat (in degrees Celsius) and the frequency of its mating call (in tones per second) are recorded. The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768. Assume that the conditions for inference for the slope of the regression line have been met. Which of the following is the correct interpretation of the calculated confidence interval?

a. We are 96 percent confident that the increase in mating call frequency of an individual frog when its habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
b. We are 96 percent confident that the average increase in mating call frequency in the sample of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.
d. We are 96 percent confident that the average increase in habitat temperature in the sample of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.
e. We are 96 percent confident that the average increase in habitat temperature in the population of frogs when mating call frequency increases by one tone per second is between 1.573 and 3.109 degrees Celsius.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

Musisz przejść do Brainly.ph, jedyny sposób, w jaki z tobą rozmawiam, to tłumacz. Brainly.com jest dla języka angielskiego

Step-by-step explanation:

Answer:

425733.32

Step-by-step explanation:

3%= 12772×100÷x

3x= 12772×100

x=425733.34

Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]

Rain and prediction of rain:

80% of 25/92. So

[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]

0.5989 = 59.89% probability that it actually rains on the day of the wedding

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

Answer:

B AND D

Step-by-step explanation:

Answer:

Aaron must obtain a 96 or higher to achieve the desired score to earn an A in the class.

Step-by-step explanation:

Given that the average of Aaron's three test scores must be at least 93 to earn an A in the class, and Aaron scored 89 on the first test and 94 on the second test, to determine what scores can Aaron get on his third test to guarantee an A in the class, knowing that the highest possible score is 100, the following inequality must be written:

93 x 3 = 279

89 + 94 + S = 279

S = 279 - 89 - 94

S = 96

Thus, at a minimum, Aaron must obtain a 96 to achieve the desired score to earn an A in the class.

Aaron must score atleast 90 marks in third test.

Aaron scores in the first  test = 89

Aaron scores in the second test = 94

And the average of Aaron's three test scores must be at least 93 to earn an A.

Let Aaron scores in the third  test = s

Then,

Average = sum of terms divided by the number of terms.

[tex]\frac{89+94+s}{3} \leq 93\\89+94+s\leq 93\times3\\183+s\leq 279\\s\leq 279-189\\s\leq 90[/tex]

So, Aaron must score atleast 90 marks in third test.

Learn more:https://brainly.com/question/19982277

Answer:

12.5

Step-by-step explanation:

u put the decimal at the end of 25 then u times it by 50 and there u get ur answer

hope this helps :D

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

Answer:

x+6y+18=0.

Step-by-step explanation:

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

Learn more about the sine rule here:

https://brainly.com/question/22288720.

#SPJ2

9514 1404 393

Answer:

  4

Step-by-step explanation:

The constant of proportionality is the ratio of y-values to corresponding x-values. We see that the y-value is 8 (at the top of the graph) when the corresponding x-value is 2.

  k = 8/2 = 4

The constant of proportionality is 4.

Answer:

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Step-by-step explanation:

Given -

Terms:

• impossible

• likely

• unlikely

• certain

Probability:

1. probability of rain < 1/2

2. probability of rain = 0

3. probability of rain = 1

4. probability of rain > 1/2

To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.

Proof -

Probability:

1. probability of rain < 1/2            -------- Unlikely

2. probability of rain = 0             --------  Impossible

3. probability of rain = 1               -------- Certain

4. probability of rain > 1/2           --------- Likely

Reason -

A ratio is a number that is  between 0 and 1 and can include 0 and 1.

Having 13 months in a year has the  probability of 0.

The probability that the sun will rise  tomorrow morning is 1

Answer:

20x+32

Step-by-step explanation:

4(5x+8)

4*5x + 4*8

20x+32

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

Answer:

The answer is -5x<-10 because the equation is equal to X>2 and answer-5x<-10  is also equal to X>2

Step-by-step explanation:

Answer:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Step-by-step explanation:

yes he is correct for 13

peyton hikes.  6  1/80

no it would not be a greater distance because if you do 9/10 times 3  and turn  the answer into a decimal the red trail is a greater distance.

Answer:

3(7y+4) multiply the inner to 3 so, 21y+12

Hi there!

Let’s distribute 3 by multiplying it by everything inside the parentheses:

3 * 7y = 21

3 * 4 = 12

21y+12 (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

-Sparkle-

{13, 8, 12, 8, 12, 3}

3, 8, 8, 12, 12, 13

median — (8 + 12) : 2 = 20 : 2 = 10

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{The word \underline{median} means the number in the CENTER (the \bf middle}\\\large\text{number).}\\\\\\\large\text{To find your median you have to put your numbers from least}\\\large\text{(smallest) to greatest (biggest).}[/tex]

[tex]\large\text{Your data slot: \textsf{13, 8, 12, 8, 12, \& 3}}[/tex]

[tex]\large\text{Conversion: \textsf{3, 8, 8, 12, 12, \& 13}}[/tex]

[tex]\large\text{Finding your result: }\large\boxed{\rm{\dfrac{8+12}{2}}}\\\\\large\boxed{= \rm{\dfrac{20}{2}}}\\\\\\\large\boxed{= \rm{\dfrac{20\div2}{2\div2}}}\\\\\\\large\boxed{\rm{= \dfrac{10}{1}}}\\\\\\\large\boxed{= 10\div 1}\\\\\\\large\boxed{\rm{= 10}}[/tex]

[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y = [tex]-\frac{2}{3}x^{2}[/tex]

Answer:

1

Step-by-step explanation:

1^2=1

Answer:

48m

Step-by-step explanation:

Formula: lwh

4*2*6=48m

Answer:

48

Step-by-step explanation:

Answer:

Explanation is given in the above photo.

Answer:

2

Step-by-step explanation:

(1/64)^-(1/6) = 64^(1/6) = 2

Answer:

Use Photo Math!!! It will help you and explain everything

Answer:

x³ + x² - 2x -2

Step-by-step explanation:

Answer:

0.026

Step-by-step explanation:

Given the result of 10 coin flips :

T,T,H,T,H,T,T,T,H,T

Number of Heads, H = 3

Number of tails, T = 7

Let :

B = biased coin

B' = non-biased coin

E = event

Probability that it is the biased coin:

P(E Given biased coin) / P(E Given biased coin) * P(E Given non-biased coin) * P(non-biased coin)

P(E|B)P(B) / (P(E|B)*P(B) + P(E|B')P(B')

([(0.75^3) * (0.25^7)] * 0.5) /([(0.75^3) * (0.25^7)] * 0.5) + (0.5^10) * 0.5

0.0000128746 / 0.00050115585

= 0.0263671875

Answer:

A.Yes, [tex]6^{2} + 8^{2} = 10^{2}[/tex]

Step-by-step explanation:

Answer:    send group

Step-by-step explanation: