The loudest animal on earth is the blue whale. blue whales can emit sound with an intensity of 106.8 watts/meter2. the equation relates the sound level, , in decibels (db), of a noise with an intensity of i to the smallest sound intensity that can be heard by the human ear, (approximately watts/meter2).based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?

Answers

Answer 1

The sound level of the vocalizations of a blue whale is approximately 140.28 decibels.

How to find sound level?

The question asks us to find the sound level in decibels (db) of the vocalizations of a blue whale, given its sound intensity of 106.8 watts/meter2.

The formula for sound level in decibels is:

L = 10log(i/I0)

Where L is the sound level in decibels, i is the sound intensity in watts/meter2, and I0 is the smallest sound intensity that can be heard by the human ear (approximately 1x10⁻¹² watts/meter2).

Plugging in the given values, we get:

L = 10log(106.8/1x10⁻¹² )

Simplifying this expression, we get:

L = 10log(1.068x10¹⁴)

L = 10(14.028)

L = 140.28

Therefore, the sound level of the vocalizations of a blue whale is approximately 140.28 decibels.

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Related Questions

help asap!! which of the relationships below represents a function with a greater rate of change than the function y= 2x+3?

help asap!! which of the relationships below represents a function with a greater rate of change than

Answers

Answer:

D.

Step-by-step explanation:

Slope of that line is 5x

Two similar triangles are shown.
to create
AXYZ was dilated, then
AQAG
translated
reflected
dilated
rotated

Two similar triangles are shown.to createAXYZ was dilated, thenAQAGtranslatedreflecteddilatedrotated

Answers

Answer: reflected

Step-by-step explanation:

The triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

What are the types of translations?

There are three types of translations -

reflectionrotationdilation

Given is a triangle ΔXYZ.

It is asked to find the type of translation that would result in ΔQAG.It can be seen in the figure that the triangle XYZ is reflected across the given line to form triangle QAG.So, we can we can replace the blank with Option - 2 : reflected.

Therefore, the triangle ΔXYZ was dilated and then it was reflected to create ΔQAG.

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how many license plates consisting of three letters followed by three digits

Answers

Answer:

ABOUT 4000

Step-by-step explanation:

Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.

Answers

Answer:

It would take 15 years

Step-by-step explanation:

The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:

FV=PV*(1+r/4)^n*4

FV is the target savings of $1,000

PV is the amount invested which is $600

r is the rate of interest of 3.4%

n is the unknown

1000=600*(1+3.4%/4)^4n

1000=600*(1+0.0085 )^4n

1000=600*(1.0085)^4n

1000/600=1.0085^4n

1.666666667 =1.0085^4n

take log of both sides

ln 1.666666667 =4n ln 1.0085

4n=ln 1.666666667/ln 1.0085

4n=0.510825624 /0.008464078

4n=60.35218768

n=60.35218768 /4

n= 15.09  

Riya wants curtains in her room. These are the lengths of curtains in metres. 1.0 m, 1.25 m, 1.5 m The lengths follow a pattern. Riya wants the next length up from 1.5 m. What length of curtains will Riya buy?

Answers

Answer:

1.75

Step-by-step explanation:

Since the curtains are going up in .25. We need to add .25 to 1.5.

1.5 + .25 = 1.75

The length of curtains will Riya buy is 1.75 m.

What is sequence?

A sequence is an arrangement of numbers in a specific order. A series, on the other hand, is defined as the sum of the elements in a sequence.

For example,  In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.

We have length of curtains as

1m, 1.25 m, 1.5 m,...

Now, from above the first term is 1.

Common difference, d= 1.25 - 1 = 0.25

So, the next length of curtain will be

= 1 + (4-1)0.25

= 1 + 0.75

= 1.75 m

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what is the cosine of angle D​

what is the cosine of angle D

Answers

Answer:

\( \frac{28}{45} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

what is the cosine of angle D

some distinguished philosophers have tried to develop probability without measure theory. one of the reasons for difficulty is the following.

Answers

One of the reasons for difficulty in developing probability without measuring theory is that the measure theory provides a rigorous mathematical framework for defining probabilities. Measure theory is used to formalize the concepts such as probability spaces, events, random variables etc.

Measure theory is used to give a systematic approach for defining measures, which are mathematical functions that assign a numerical value of sets. Measures are used to define probabilities of events in context to probability theory. Measures ensures that probabilities satisfy non-negativity, additivity, and normalization.

By utilizing measure theory, mathematicians and statisticians were able to establish a very solid and highly accepted foundation for probability theory. Measure-theoretic probability provides a comprehensive framework that enables the study of probability in a mathematically sound manner.

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The complete question is: Determine one reason for difficulty distinguished philosophers must have faced while trying to develop probability without measure theory.

Write the following number in word form: 735.009Immersive Reader
(2 Points)

Answers

Answer:

seven-hundred thirty five and nine thousandths

Step-by-step explanation:

Fred has $200. He wants to purchase a gym bag for $26 and as many pair of shoes as he can. Each pair of shoes is $45. What is the maximum number of pairs of shoes he can
purchase in addition to the gym bag?

Fred has $200. He wants to purchase a gym bag for $26 and as many pair of shoes as he can. Each pair

Answers

Answer:

3 shoes

Step-by-step explanation:

You can set up an equation to solve this question like this:

200=45s+26

174=45s

174/45=s

s=3.867

You can't have a part of a shoe, so you have to round down to get 3 shoes

Answer:

3

Step-by-step explanation:

In order to get the answer to this question you subtract in till you can no longer subtract after subtracting the cost of the bag.

What we do know:

\(M=200\)

\(B=26\)

\(S=45\)

\(200-26=174\)

\(174-45=129\)

\(129-45=84\)

\(84-45=39\)

\(S=3\)

Hope this helps

5sinA=4, find the value of tanA.​

Answers

Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

What is the measurement of < F

What is the measurement of &lt; F

Answers

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

hello! this is an isosceles triangle, meaning that two sides are congruent.
angle g and angle f are also congruent so angle f is 65 degrees

What is a linear symbol?.

Answers

Line symbols are used to represent the events that are localized on lines (for example, lines of watershed, lines of tectonic breaks) and the demarcating lines (borders of regions, states) and in order to mark objects that have linear character, that are not manifested by its width in a scale such as rivers, roads, ...



What is the symbol of linear equation?
The general form of a linear equation is expressed as Ax + By + C = 0, where A, B, and C are any real numbers and x and y are the variables

the vertex angle of an isosceles triangle measures 36 degrees . what is the measure of its base angle? ​

Answers

Answer: Each base angle is 72 degrees

Explanation:

For any triangle, the three angles always add to 180 degrees.

In an isosceles triangle, the base angles are the same measure. For now we don't know what they are, so let's call them x. The vertex angle is 36.

Adding the three angles (x,x, and 36) and setting that equal to 180 will help us find the value of x.

x+x+36 = 180

2x+36 = 180

2x+36-36 = 180-36 .... subtract 36 from both sides

2x = 144

2x/2 = 144/2 .... divide both sides by 2

x = 72

This triangle has two base angles of 72 each and the vertex angle of 36. As a check, the three angles should add up to 180

72+72+36 = 144+36 = 180

So the answer is confirmed.

Answer: Both of the other angles equal 72 degrees individually.

Step-by-step explanation:

The measure of each of the other angles could be 72 degrees because isosceles triangles have two sides that have the same equivalence. Since a line has 180 degrees and its vertex angle measures 36 degrees, then the remaining angles have to be found by subtracting 180 with 36 in order to get 144. 144 divided by 2 because of the two angles then makes both sides equal to 72 degrees individually.

Y+4=-6(x+6) what is the answer

Answers

Answer:

y+4+−4=−6x−36+−4

y=−6x−40

y=−6x−40

slope is -6

y intercept is -40

Answer:

y = -6x - 40

in standard form its:

y + 6x = -40

Step-by-step explanation:

A normal population has a mean of 21 and a standard deviation of 6. Use Appendix B.3. a. Compute the z value associated with 24. (Round your answer to 2 decimal places

Answers

In statistics, the "z-score" is used to determine how far away from the mean a data point is. It indicates how many standard deviations the data point is from the mean.

The formula for calculating the z-score is given below:

z = (x - μ) / σ

where: x = data point

           μ = population mean

           σ = population standard deviation

Given a normal population with a mean of 21 and a standard deviation of 6, we can compute the z-score associated with 24 as follows:

z = (x - μ) / σz = (24 - 21) / 6z = 0.50

To compute the z-value associated with 24, we use Appendix B.3 which gives the area under the normal distribution curve for different z-scores.

Looking at Appendix B.3, we find that the area to the left of z = 0.50 is 0.6915 (rounded to 4 decimal places). Therefore, the z value associated with 24 is 0.50.

Note: The answer has been provided in less than 100 words, but the computation involved has been thoroughly explained.

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whos ur fav characther of mhaaa (my hero academia) also dont report meeee and if any of yall think about saying todoroki is yalls bae know that hes MINE tyvm <3

Answers

Answer:

denki

because..... pika pika

Answer:

Todoroki Shoto

Todoroki Toya (Dabi)

Takami Keigo

Aizawa Shota (Eraser)

Yamada Hizashi (Mic)

Kayama Nemuri

Bakugo Katsuki

Eijiro Kirishima

Amajiki Tamaki

Hado Nejire

Kendo Itsuka

Jiro Kyoka

Ashido Mina

Kaminari Denki

Shimura Tenko (Shigaraki Tomura)

Kurogiri (Orobo Shimakuro)

Tokoyami Fumikage

Toga Himiko

(Pls don't hate me if I didn''t say deku or uraraka they just aren't my favs and everyone has their own opinions ;w; also i just typed them like that they are in no particular order)

-- Koda

Find the equation of the line with slope −35 and y-intercept (0,−3).

Answers

Answer:

y = -35x -3

Step-by-step explanation:

We can use the formula y = mx + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y-intercept

From these, they have already given the slope of the line.

m ⇒ -35

And now we have to find the c ( y-intercept ) of the line using the given coordinate,

( 0 , -3 ) ⇒ ( x , y )

So, to find the y-intercept you have to replace x, y & m with 0, -3 & -35 respectively, and solve for c.

Let us solve it now.

y = m x + c

-3 = -35 × 0 + c

-3 = 0 + c

-3 = c

And now we can write the equation of the line like this.

y = m x + c

y = -35x -3

Answer:

Equation of line is given as y =mx + c, where m is the slope and c is the y-intercept.

Since slope is -35, equation of line is y = -35x + c.

Substitute (0,-3) into equation to find c.

-3 = -35(0) + c

c = -3

Hence, equation is y = -35x - 3.

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision:

Answers

Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.

Here is a detailed breakdown of the calculations and assumptions made:

The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).

The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.

The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.

The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).

The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).

The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.

Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.

To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.

Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:

Is he redoing the whole yard or just the front? He's redoing the whole yardHow much topsoil does he need? I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above.How big is the yard? I'm not sure, but you can probably estimate it using the overhead picture.What kind of pickup truck does he drive? A 2003 Ford F-150 XL.How much can the pickup carry? The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. The payload capacity is about 1800 pounds.How much is the delivery charge? $30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards. How much does the topsoil cost? $18 per cubic yard (sold in 1/4 yard increments).How much does the topsoil weigh? Topsoil weighs about 2000 pounds per cubic yard.How far is the soil store? It is 9 miles away. It takes about 20 minutes to drive there.What gas mileage does the pickup truck get? It averages 17 miles to the gallon.What is the current gas cost? Assume it's $3.79/gallon.

Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

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ψ
n

(x)=
a
2



sin(
a
nπx

),0≤x≤a. Show that the expectation value of the momentum operator
p
^

in the state ϕ(x,t) is (see below for hint) ⟨
p
^

⟩=∫
0
a

dxA

(x,t)
p
^

A(x,t)=−
3a
iℏ8

[a
1

(t)a
2


(t)−a
1


(t)a
2

(t)]. Hence by substituting in the values of a
1

(t),a
2

(t) etc from previous parts, give the final answer for ∫
0
a

dxϕ

(x,t)
p
^

ϕ(x,t) in as simple a form as possible. (Dont forget to put in explicit form of E
1

,E
2

). Hint: You may find these integrals useful for part vi):

0
a

dxsin(
a
nπx

)cos(
a
nπx

)

0
a

dxsin(
a
mπx

)cos(
a
nπx

)


=0
=
π(m
2
−n
2
)
am

[1−(−1)
m+n
]

Answers

We can simplify the equation further to get the final answer for ∫₀ᵃ dxϕ*(x,t) ^p ϕ(x,t) in a simpler form.

To show the expectation value of the momentum operator ^p in the state ϕ(x,t), we need to calculate

⟨^p⟩=∫₀ᵃ dx A*(x,t) ^p A(x,t). Using the given expression for ϕ(x,t) as ψₙ(x),

we can substitute the values of a₁(t) and a₂(t) into the equation.
Starting with the expression for ψₙ(x):
ψₙ(x) = a₂ * sin(aₙπx), 0 ≤ x ≤ a
We can express A(x,t) as A(x,t) = ψₙ(x) = a₂ * sin(aₙπx).
Now, let's calculate the expectation value:
⟨^p⟩ = ∫₀ᵃ dx A*(x,t) ^p A(x,t)
Substituting A(x,t) into the equation, we have:
⟨^p⟩ = ∫₀ᵃ dx a₂ * sin(aₙπx) * ^p * a₂ * sin(aₙπx)
The momentum operator ^p is given by ^p = -iℏ(d/dx). Applying this operator:
⟨^p⟩ = ∫₀ᵃ dx a₂ * sin(aₙπx) * (-iℏ(d/dx)) * a₂ * sin(aₙπx)
Now, we can simplify the equation further using the given hint. We have the integral:
∫₀ᵃ dx sin(aₙπx) cos(aₙπx) = π(n² - m²) * aₘ * [1 - (-1)^(m+n)]
Using this integral, we can simplify ⟨^p⟩:
⟨^p⟩ = -iℏ ∫₀ᵃ dx a₂² * sin²(aₙπx) * (π(aₙ² - aₙ²) * aₙ * [1 - (-1)^(aₙ+aₙ)])
Simplifying further:
⟨^p⟩ = -iℏ π * aₙ * a₂² * aₙ² * ∫₀ᵃ dx sin²(aₙπx) * [1 - (-1)^(2aₙ)]
Using the integral ∫₀ᵃ dx sin²(aₙπx) = a/2, we can substitute it into the equation:
⟨^p⟩ = -iℏ π * aₙ * a₂² * aₙ² * (a/2) * [1 - (-1)^(2aₙ)]
Simplifying further:
⟨^p⟩ = -iℏ π * a/2 * aₙ * aₙ² * a₂² * [1 - (-1)^(2aₙ)]
Finally, substituting the values of a₁(t) and a₂(t) from previous parts, we can simplify the equation further to get the final answer for ∫₀ᵃ dxϕ*(x,t) ^p ϕ(x,t) in a simpler form.

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I NEED HELP ASAP PLS

I NEED HELP ASAP PLS

Answers

Answer:

-0.7

Step-by-step explanation:

add +1.4m on both sides
then you got -1.1 + 0.4 = ?
and -1.1 + 0.4 = -0.7

Answer: It is -0.7

Step-by-step explanation:

-1.1-1.4m+0.4=x-1.4m

Add 1.4m to both sides which should look like this

-1.1-1.4m+0.4+1.4m=x-1.4m+1.4m

then you have to simplify you should have

-1.1+0.4=x

Then you add them which gives you your answer

-0.7

a study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?

Answers

The type of sampling used in each case of the students to pay tuition fee for the fall semester is simple random sampling.

Simple random sampling is the method that was applied in this instance. Each person in the population has an equal probability of being chosen for the sample when using simple random sampling. In this instance, the amount of tuition each participant in the sample paid for the autumn semester was questioned.

The type of sampling in the next case is stratified sampling. After classifying the students into freshmen, sophomores, juniors, or seniors, 25 students from each group are chosen. The sample will be representative of each group thanks to this technique.

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Complete question is:

A study wants to determine the average tuition that san jose state undergraduate students would pay per semester. each student in the following samples is asked how much tuition he or she paid for the fall semester. what is the type of sampling in each case?

A sample of 100 undergraduate San Jose State students is taken by organizing the students’ names by classification (freshman, sophomore, junior, or senior), and then selecting 25 students from each.

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

Answers

This question is incomplete because the options are missing; here is the complete question:

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

A. He can randomly survey 50 boys in the school.

B. He can survey 30 students in the school band.

C. He can randomly survey 50 6th graders in the school.

D. He can survey 20 friends from his neighborhood.

The correct answer is C. He can randomly survey 50 6th graders in the school.

Explanation:

A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.

Answer:

He can randomly survey 50 sixth-graders in the school.

Step-by-step explanation:

92% of 3.9 =
pls answer

Answers

Answer:

35.88


Step-by-step explanation:

92/100 = x/39. 100x = 3588. x = 35.88

Question: What are the characteristics of a normal distribution? Instruction: Choose all options that best answer the question. Standard deviation will be high The smaller the sample, the more the normal distribution takes on a bell curve Samples are indicative of the population Most values are close to the mean value

Answers

Answer:

Samples are indicative of the population .

Most values are close to the mean value.

Step-by-step explanation:

The normal distribution is characterized by two parameters mean and standard deviation.

The graph of the normal distribution is symmetrical bell shaped curve called the normal curve. The location and shape of the normal curve are determined by mean and standard deviation.

We see from the figure as the mean and standard deviation increase the spread and curve change.

FALSE:   Standard deviation will be high. This is false because more than 50% of the values lie 1 standard deviation of the mean .When the data is clustered around the mean the standard deviation is low.

FALSE: The smaller the sample, the more the normal distribution takes on a bell curve

The sample size greatly affects the normal curve. The greater the sample size the more likely the distribution is bell shape or normal curve.

TRUE: Samples are indicative of the population .

The normal distribution population with mean and standard deviation has a normal sample with and standard deviation.

Most values are close to the mean value

TRUE: About 68% of values are within 1 standard deviation of the mean and around 95% of values are within 2 standard deviations of the mean in the normal distribution.

Which means more than 50% of the values lie 1 standard deviation of the mean.

Question: What are the characteristics of a normal distribution? Instruction: Choose all options that

these are all of the OC's i have made so fare what do you guys think

these are all of the OC's i have made so fare what do you guys think
these are all of the OC's i have made so fare what do you guys think

Answers

Answer:

Step-by-step explanation:

nice i like them

x and y are integers, y>_ 2, x +y <_ 4 and y <_ 2x +2

x and y are integers, y&gt;_ 2, x +y &lt;_ 4 and y &lt;_ 2x +2

Answers

The true values of x and y in the system of inequalities are (2/3, 10/3)

How to determine the values of x and y?

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

y ≥ 2

x + y ≤ 4

y ≤ 2x + 2

Express the inequalities as equations

So, we have the following representation

x + y = 4

y = 2x + 2

Substitute y = 2x + 2 in the equation

x + y = 4

So, we have the following representation

x + 2x + 2 = 4

Evaluate the like terms

So, the equation becomes

3x = 2

Divide by 3

x = 2/3

Substitute x = 2/3 in y = 2x + 2

y = 2 x 2/3 + 2

Evaluate

y = 10/3

In y ≥ 2, we have

10/3 ≥ 2

The above inequality is true

Hence, the values of x and y are (2/3, 10/3)

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Find the value of x in the isosceles triangle shown below

Find the value of x in the isosceles triangle shown below

Answers

Answer:

the value of x is 8

x=8

HOPE IT'S HELP

help please !!
don’t understand







help please !! dont understand

Answers

Step-by-step explanation:

For two lines to be parallel they must have the same slope that is,M1=M2

For two lines to be perpendicular the slope of one must be the negative reciprocal of the other

Let's first find the slope of all three lines.

For line 1

6x-6=10y

2/5x-2/5=y

slope=2/5

For like 2

slope=5/3

For line 3

y=5/3x+2/3

We can therefore say that:

line 1 and line2 are neither parallel nor perpendicular

line 1 and line 3:

neither parallel nor perpendicular

line 2and line 3:

parallel lines

we select an srs of n=712 from a population of 20-29 year-old men. the average weight was 183 pounds. the population standard deviation is 40. what is 90onfidence for the population mean?

Answers

We are given a sample of n=712 20 29 year old men, with a sample mean weight of 183 pounds. We are also told that the population standard deviation is 40 pounds.

To calculate the confidence interval, we use the formula


Zα/2 is the critical value of the standard normal distribution at a significance level of α/2, σ is the population standard deviation, and n is the sample size.

The critical value of the standard normal distribution at a 90% confidence level is 1.645. Plugging in the provided values, we get:

CI = 183 1.645 * (40/√712)

CI = [179.86, 186.14]

This means we can be 90% confident that the true population mean weight of 20 29 year old men lies within the range of 179.86 to 186.14 pounds.

In summary, based on the sample of 712 men and the given population standard deviation of 40 pounds, we can estimate the population mean weight with 90% confidence to be between 179.86 and 186.14 pounds.


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and then used the predict() function to make a prediction for each student's number of hours exercised per week, what value would it predict for each student?

Answers

the predict() function takes as input a linear regression model and a set of predictor variables (in this case, the students' GPA) and returns a set of predicted response values (in this case, the number of hours exercised per week) based on the fitted model.

The specific value that the predict() function would predict for each student's number of hours exercised per week would depend on the coefficients and intercept of the linear regression model that was fitted to the data. These coefficients reflect the relationship between the predictor variable (GPA) and the response variable (number of hours exercised per week) and determine how changes in the predictor variable are associated with changes in the response variable.

The intercept represents the predicted value of the response variable when the predictor variable is zero. Therefore, the predict() function would use these coefficients and intercept to predict the number of hours exercised per week for each student based on their GPA.

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