An engineer is studying early morning traffic patters at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am. Assume that the density for (X, Y ) is given by

fXY (x,y)= 1/x 0
Required:
a. Find the curve of regression of X on Y. Is the regression linear?
b. Find the mean value of X when y = 0.5.
c. Find the curve of regression of Y on X. Is the regression linear?
d. Find the mean value of Y when x = 0.75.

Answers

Answer 1

I think is C,,,,,,,,,,,,,,,,

Answer 2

The regression curve is attached with the answer and the value of x on y = 0.5 is 2.

What is the regression line?

Curve fitting in regression analysis is the process of choosing the model that best fits the particular curves in your dataset.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that an engineer is studying early morning traffic patterns at a particular intersection. The observation period begins at 5:30 am. Let X denote the time of arrival of the first vehicle from the north-south direction; let Y denote the first arrival time from the east-west direction. Time is measured in fractions of an hour after 5:30 am.

The mean value of X at y=0.5 will be calculated as,

y = 1 / X

X = 1 / y

X = (1 / 0.5)

X = 2

Therefore, the regression curve is attached with the answer and the value of x on y = 0.5 is 2.

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An Engineer Is Studying Early Morning Traffic Patters At A Particular Intersection. The Observation Period

Related Questions

Let f and g be two functions.
Given that (f ∘g)(x) = g – 1 (x) = [tex]\frac{x+1}{2} , where x ∈ℝ find an expression for f (x).

Answers

I’m looking for the same answer

In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.

Answers

Answer:

x ≈ 15.9 ft

Step-by-step explanation:

Reference angle = <A = 63°

Hypotenuse = AB = 35

Adjacent = CA = x

Apply trigonometric function CAH:

Cos A = Adj/Hyp

Plug in the values

Cos 63 = x/35

35 × cos 63 = x

15.8896675 = x

x ≈ 15.9 ft

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

- P(Vanilla) = 0.3
- P(Sundae) = 0.2
- P(Vanilla and Sundae) = 0.15

Find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae.

Answers

Answer: 75%

Step-by-step explanation: 0.15/0.2=0.75

The probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

P(Vanilla) = P(V) = 0.3

P(Sundae) = P(S) = 0.2

P(Vanilla and Sundae) = P(V and S) = 0.15

To find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae:

P(V|S) = P(V and S)/P(S)

P(V|S) = 0.15/0.2

P(V|S) = 0.75 or 75%

Thus, the probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

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For a company picnic, Melissa ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 25 cookies in all. 4 of the cookies were gingerbread. What percentage of the cookies were gingerbread? pls help me asap WILL GIVE BRAINLEST

Answers

Answer:

16% of the cookies were gingerbread.

Step-by-step explanation:

4/25 = 16/100 or 16%

Hope this helps! :)

Combine the like terms to create an equivalent expression.
2q+2+9

Answers

Answer:

the answer is 2q + 11 because 2 and 9 are like terms so you can add them

Answer:

2q+11

Step-by-step explanation:

khan said so

According to order of operations, which operation should be done first in this
problem:
45 - 9.5 + 8
a. multiplication
b. addition
c. division

Answers

D) division (PEMDAS)

Jesse has three one-gallon containers. The first
3
one has of a gallon of juice, the second has
gallon of juice and the third has of a gallon of juice.
How many total gallons of juice does Jesse have?

Answers

Step-by-step explanation:

Total gallons of juice = No. of containers x one gallon of juice

= 3x1

= 3 gallons of juice

What is 3,101 divided by 16 as a decimal

Answers

Answer:

193.8125

Step-by-step explanation:

193.8125

193 Remainder 13

193.8125 / simplified as 194

3,101 ÷ 16 = 193.8125

193.8125 reduced

194

SOMEONE PLEASE HELP ME WITH THIS QUESTION IT WOULD MEAN ALOT IM REALLY STRUGGLING

Answers

Answer:

The volunteers should be a group of 10 and meditators should be 5 groups.

Step-by-step explanation:

Find the sum of the first 20 terms of the sequence 2,8,14,20

Answers

Answer:

S20=230

Step-by-step explanation:

2,8,14,20first determine whether it is arithmetic progression or geometric sequence. for APCommon difference (d) = second term - first term

D=T2-T1 D=T3-T2

D=8-2 D=14-8

D=6 D=6

Also try for GP COMMON RATIO= T2/T1

r=T2/T1 r=T3/T2

r=8/2 r=14/8

r=4 r=7/4

therefore, we can conclude that this is AP since we have the same common differences in the sequence

Sn=n/2[2a+(n-1)]. where, a=first term n=number of terms S20=20/2[2*2+(20-1)] S20=10(4+19) S20=10(23) S20=230

Answer: 1180

Step-by-step explanation:

since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total

Sam takes 6 apples from the basket, that is, only 25% of all apples in the
basket. What is the total number of apples in the basket?

Answers

Answer:

24 apples

Step-by-step explanation:

set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.

In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find
the length of MN to the nearest tenth of a foot.

Answers

Answer:

Hypotenuse MN = 10.54 ft (Approx.)

Step-by-step explanation:

Given:

Base OM = 9.6 ft

Angle θ = 13'

Find:

Hypotenuse MN

Computation:

Using trigonometry function

Cos θ = Base / Hypotenuse

Cos 13 = 9.6 / Hypotenuse

0.97 = 9.6 / Hypotenuse

Hypotenuse MN = 10.54 ft (Approx.)

2. Determine whether segment AB is tangent to the given circle
12 pol
2. AB
А
12
B
13
Yes
No

Answers

Answer:

Step-by-step explanation:

13² should be equal to 4² + 12² for that

checking, we get that 169 is not equal to 16+144= 160

so it's not right angle

to be tangent, it should be right angle

please help me i really need help please please please

Answers

Answer: ≈117.15375m (if you're expected to round make sure you do so!)

Explanation: Because this a right triangle, you can apply the pythagorean theorem which is a^2 + b^2 = c^2. a and b can be any side except the hypotenuse (the one across from the 90° angle). You take 90^2 + 75^2 = c^2. This equals 13,725 after that you can take the square root of it and you're left with ≈ 117.15375m

Hope this helped! :)

After simplifying, what will x be equivalent to?
a2a4=ax

Answers

Answer:

x=8a

Step-by-step explanation:

Given data

We have the expression

a2a4=ax

Simplifying the LHS(Left Hand Side)

8a^2=ax

8a=x

Hence x will simplify to

x=8a

Can someone help me! it would mean the world! and tysm! <3

Answers

Answer:

90m

Step-by-step explanation:

AB = 18m

BC = AB + 9 = 18 + 9 = 27m

Perimeter = 2(AB + BC)

= 2( 18 + 27)

= 2 x 45

= 90m

Devon can take one of three different buses to and from work (bus a, b or c). he randomly catches one bus in the morning and another one on teh way home. teh table list the sample space of outcomes

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hey! please help! i don't understand these type of questions! Please answer the question and explain how you got the answer! Thanks!

Answers

i’m pretty sure you use the formula to find the area for a triangle which is 1/2 over b?

The person above me I exactly correct, if you going to give brainalist give them it

Answer #1 please ASAP

Answers

Answer:

4.5

Step-by-step explanation:

To find the median, put the data in order from smallest to largest

1,2,2,3,4,4,5,5,8,10,10,11

The count up the number of data points

Divide by 2

12/2

Split the data into 2 groups, 6 in each, starting at the beginning

1,2,2,3,4,4, 5,5,8,10,10,11

Since there is an even number

Add the last number in first group and the first number in the last group and divide by 2

(4+5)/2 = 9/2 = 4.5

The median is 4.5

the correct answer is 4.5

Does anyone know how to do both of these questions?

Answers

Answer:

Step-by-step explanation:

Determine the ordered pair of the y-intercept of the function below:
y= x2 + 4x – 8

Answers

Answer: If you want to graph it this is ez (0, -8)

Step-by-step explanation:

9. find c when r = 6cm and d = 1cm.

Answers

Answer:

C=2×π×diameter2. So. C=2×3.14×6 cm2. C=18.84 cm

I hope it will be correct answer

help please need asap

Answers

Answer:

4.5

Step-by-step explanation:

4 * 1.5 = 6

3* 1.5 = 4.5

1.5=4.5
1.5=6
I think

Imagine that for every inch of rain that fell here, a nearby community in the mountains received a foot and a half of snow. How many inches of snow fell in the mountain community between 5:00 pm and 7:00 pm? HELP PLEASE AND QUickLY!

Answers

Answer:

I think it's 0.2 inches of snow????

Use the given information to find the new price. Round to the nearest cent.

Original Price: $28
Discount Rate: 28%

Answers

Answer:

Step-by-step explanation:

7.84 = 8.

Answer:

Original Price: $28

Discount Rate: 28%

new price=?

we have

discount:

28% of 0riginal Price=28/100×$28=$7.84

now

new Price=original -discount price=$28-7.84=$20.16 is your answer

Use f(x)=-2x+5 to find x when f(x)=11

Answers

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<HIK to <GFD

Step-by-step explanation:

Alternate exterior angles are angles that are on the exterior sides alternately on a transversal

Answer:

∠HIK and ∠GFD

Step-by-step explanation:

Alternate exterior angles are angles that lie on the same parts of the parallel lines, but on alternate (different) sides.

∠HIK is on the lower left.

∠GFD is on the upper right.

The greatest common factor of 30 and 18 is 6. What do you think the term greatest common factor means?

Answers

Answer: 6

Step-by-step explanation:

6 x 5 = 30

6 x 3 = 18

6 x 1 = 6

The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.

Hope this helps,

Good luck!

A common factor is a number with which two or more numbers will be divided equally.

helpppp quckkkkk is timeddddd i will give brainliest to whos quickest and right

Answers

Answer:

A if I'm wrong I apologize

Oscar ran the 100-yard dash in 12.65 seconds. Jesiah ran the 100-yard dash in 11.57 seconds.

How many seconds faster was Jesiah's time than Oscar's time?

Jesiah's time was faster than Oscar's time by seconds.

Answers

12.65-11.57=1.08 hope this helped

Answer:

Jesiah's time was faster than Oscar's time by 1.08 seconds.

Step-by-step explanation:

To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.

12.65 - 11.57 = 1.08

Jesiah was faster than Oscar by 1.08 seconds.

Good luck ^^

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