According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Month
Average Maximum Monthly Temperature
Jan
48.1
Feb
50.9
Mar
62.4
Apr
67.0
May
76.5
Jun
83.9
Jul
86.8
Aug
88.1
Sep
79.2
Oct
69.9
Nov
59.5
Dec
49.6

Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.001.
a.
y = 67.577 sine (0.500 x minus 1.959) + 20.077
b.
y = 20.077 sine (0.500 x minus 1.959) + 67.577
c.
y = 20.077 sine (1.959 x minus 0.500) + 67.577
d.
y = 20.077 sine (67.577 x minus 1.959) + 0.500

Answers

Answer 1

Answer:

b. y = 20.077 sin(0.500x - 1.959) + 67.577

Step-by-step explanation:

The easiest way to solve

1. Plot the points for one year2. Add the functions to same graph and compare

This gave us the option B as the best fit line

See the graph below

According To The National Weather Service, The Average Monthly High Temperature In The Dallas/Fort Worth,
Answer 2

Step-by-step explanation:

the dude above me is right


Related Questions

I need some help with this and with the other 6 question! Help this girl in need

Answers

Answer:

i think it is y=15x-6

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Answer:

y = 2x-6

Step-by-step explanation:

Slope intercept form:

y = mx+b

m = slope

In this case the slope is 2/1 or 2.

b = The point where the line crosses the y-axis

In this case -6 is the exact point the line crosses the y-axis

So if you put it all together you get the answer of:

y = 2x-6

I hope this helped!

P.S. I am so sorry I couldn't respond earlier :(

Sincerely,

Rekifromsk8theinfinity

:D

Kyla sold her laptop to Fely in a condition that Fely should give he a downpayment of Php8,000 and Fely will pay her Php1,000 every month for 1 year .if the money ears 0.5% compound monthly what is the market value of Fely's offer?​

Answers

Wjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

A 12-m ladder is leaning against a wall.
The foot of the ladder is 3 m from the base of
the building. How far up the wall is the top
of the ladder?

Answers

Answer:

Step-by-step explanation:

Use Pythagorean's Theorem for a right triangle. Your best bet when learning/visualizing word problems is to draw a picture, then learn how to visualize in your head over time.

[tex]3^2+x^2=12^2\\9+x^2=144\\x=\sqrt{135}[/tex]

The radical can be further simplified because 135 is the product of 9 and 15. 9 has a perfect root of 3.

[tex]x=3\sqrt{15}[/tex] meters or 11.62 meters

what is the area of a rectangle that is 4 inches long and 1 3/4 inches wide ​

Answers

Answer: 7 inches

Step-by-step explanation:

4 times 1 3/4 is 7

8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?

Answers

Answer:

30 kilometers

Step-by-step explanation:

8 miles. ------> 6 kilometers
40 miles------> x kilometers

8x = 6×40
8x = 240

x= 30 kilometers

40 miles = 30 kilometers

1. The average attendance at a local high school this year was 950
students. Each year the attendance decreases at a rate of 0.5% per year.
What will the average attendance be in three years? *

Answers

Current year: 950
100% - 0.5% = 99.5% or 0.995

One year: 950 x 0.995 = 945.25 or 945 students

Two years: 945 x 0.995 = 940.5 or 941 students

Three years: 941 x 0.995 = 935.8 or 936 students :)

Can someone help on this please?

Answers

Answer:

The mean is 8.4

Step-by-step explanation:

First you find the class centers.

3-6 = 4.5

7-10 = 8.5

11-14 = 12.5

15-18 = 16.5

The sum of all the scores = 4.5 * 7 + 8.5 * 10 + 12.5 * 6 + 16.5 + 2 = 210

The sum of the number of scores = 7 + 10 + 6 + 2 = 25

The mean = 210/25 = 42/5 = 8.4

2. The water rate for Charlotte, North Carolina, is $1.33 per 748 gallons of water used.

a. What is the water bill if 30,000 gallons of water are used?

b. How many gallons of water can be used for the water bill to be $150.

Answers

Answer:

I'm only here cause of the pfp haha

Step-by-step explanation:

you look good if that's you

Answer:

a) $53.34

b) 84,360.9 gallons

Step-by-step explanation:

let 'x' = cost of bill for 30,000 gallons

a) i set up a proportion as follows:

$1.33/748g = x/30,000

i cross-multiplied and got $53.34

b) i set up a proportion as follows:

let 'y' = how many gallons $150 can buy

$1.33/748g = 150/y

i cross-multiplied and got 84,360.9 gallons

Without making any calculations, which distribution of data has the largest standard deviation?

1, 1, 1, 1, 4, 4, 7, 7, 7, 7
1, 1, 1, 4, 4, 4, 4, 7, 7, 7
1, 1, 4, 4, 4, 4, 4, 4, 7, 7
1, 4, 4, 4, 4, 4, 4, 4, 4, 7

Answers

Answer:

#4 it makes the most sense.

Step-by-step explanation:

Sorry if i'm wrong

Answer:

It's the first one, A

Step-by-step explanation:

Plugged each one into a SD calculator, the first one is the largest

Anna purchased a phone with a rectangular screen that measures 6,5 centimeters in width and 12 centimeters in length. She wants to know the diagonal measure of
the screen. Round your answer to the nearest tenth of a centimeter
6.5 cm
12 cm

Answers

Answer:

78? pls correct me if I'm wrong

Step-by-step explanation:

Length times Width equals Area.

6.5×12=78

Answer:

anywhere within 13.5 < cm < 14.5   ie) 13.7cm

Step-by-step explanation:

Pythagoras for all diagonals or right angle sides.

12^2 + 6.5^2 = c^2

sqrt 144 +  sq rt 42.25 = c^2

c^2 = sq rt 186.25 =  13.6473441  = 13.7cm

nearest 10th of a cm = 13.5<cm<14.5

The median household income in the US grew linearly from approximately $30, 000 in 1990 to $48, 000 in 2006. Let x be the number of years since 1990. Express the median income as a function of x. Use this function to approximate the median income in 2030. What is the significance of the slope of this function

Answers

Answer:

[tex]y = 1125x+30000[/tex] --- The equation

The median income in 2030 is $75000

Step-by-step explanation:

Given

Represent years since 1990 with x and the income with y.

So, we have:

[tex](x_1,y_1) = (0,30000)[/tex] --- In 1990

[tex](x_2,y_2) = (16,48000)[/tex] --- In 2006

Solving (a): Express as a function.

First, we calculate the slope

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{48000-30000}{16-0}[/tex]

[tex]m = \frac{18000}{16}[/tex]

[tex]m = 1125[/tex]

The equation is then calculated as:

[tex]y = m(x-x_1)+y_1[/tex]

This gives:

[tex]y = 1125(x-0)+30000[/tex]

Open bracket

[tex]y = 1125x-0+30000[/tex]

[tex]y = 1125x+30000[/tex]

Solving (b): Income in 2030.

In 2030, x = 40.

Substitute 40 for x in [tex]y = 1125x+30000[/tex]

[tex]y = 1125*40 +30000[/tex]

[tex]y = 45000 +30000[/tex]

[tex]y = 75000[/tex]

Solving (c): The significance of the slope.

In (a), the slope is calculated as 1125.

This implies that the yearly rate is $1125

If a family has 8 children , in how many ways could the parents have 5 boys and 3 girls

Answers

That depends on what you mean by a "way" of having children. Some of the more obvious answers: One. Four boys and four girls, there's no other way of getting that many boys or that many girls. 40320. Usually each child has its own distinct DNA. The information in DNA can be converted into a number, and there are 8-factorial = 8! = 40320 orderings for eight numbers. 70. If each boy is considered to be the same until it is born and then named, so that the first four boys will always be named the same way and the same for the girls, then you can find the number of ways using binomial coefficients. The number of ways of arranging four equal boys and four equal girls into an order, is the same as the number of ways of choosing four numbers from 1 to 8 representing the position of the boys in that order. The number of ways of choosing a set of 4 numbers from 8 is called "8 choose 4" sometimes written 8C4 and is calculated as (8*7*6*5)/(4*3*2*1) (The numererator product in nCr stops when you have r numbers) (8*7*6*5)/(4*3*2*1) = 70

Answer:

As parents have 5b and 3 g

so if we add them it becomes 8

hence family has 8 children

Plz help me solve this!!-

Amy drove her hoverboard 3 miles in 40 minutes. Jim hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer

Answers

Answer:

Amy traveled at 4.5 mph, while Jim traveled at 6 mph. Therefore, Jim traveled at a greater average speed.

Step-by-step explanation:

Given that Amy drove her hoverboard 3 miles in 40 minutes, while Jim hopped 2 miles in 20 minutes, to determine who traveled at a greater average speed, the following calculation must be performed:

(3/40) x 60 = Amy's speed

0.075 x 60 = Amy's speed

4.5 = Amy's speed

So Amy traveled 4.5 miles per hour.

(2/20) x 60 = Jim's speed

0.1 x 60 = Jim's velocity

6 = Jim's speed

Instead, Jim traveled 6 miles per hour.

Therefore, Jim was the one who traveled at a greater average speed.

help me plz someone ...

Answers

E!
Because the square root of 10 is 3.16227766017 and 3.1 is closest to that

Answer:

f

Step-by-step explanation:

simplify the expression 3(6/5x+4y+6)-2(9/5x+8y+3)​

Answers

Answer:

-20(y-3)/3

Step-by-step explanation:

The expression can be written simplified as 6x - 4y + 12.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given as:

3(6/5x+4y+6)-2(9/5x+8y+3)​

To simplify the expression, we need to use the rules of algebra to combine like terms and perform the necessary operations in the correct order.

First, we can distribute the 3 and the -2 to the terms inside the parentheses:

3(6/5x+4y+6) - 2(9/5x+8y+3)

= 18/5x + 12y + 18 - 18/5x - 16y - 6

Next, we can combine like terms:

= 18/5x - 18/5x + 12y - 16y + 18 - 6

= 6/5x - 4y + 12

Finally, we can simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:

= (6/1) / (5/1)x - 4y + 12

= 6x - 4y + 12

Therefore, the simplified expression is 6x - 4y + 12.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ2

find the number n of hours you need to study on Saturday so that mean number of hours you study per day is 1.5
Days Hours
Sunday 0
Monday 1.5
Tuesday 2.5
Wednesday 2.5
Thursday 3
Friday 0
Sunday N​

Answers

Answer:

1 hour

Step-by-step explanation:

We are given that

Day       Hours

Sunday    0

Monday   1.5

Tuesday    2.5

Wednesday  2.5

Thursday       3

Friday            0

Saturday       n

Mean number of hours of  study per day=1.5

Mean=[tex]\frac{sum\;of\;data\;}{total\;number\;of\;data\;points}[/tex]

Total number of days=7

Using the formula

[tex]1.5=\frac{0+1.5+2.5+2.5+3+0+n}{7}[/tex]

[tex]1.5\times 7=9.5+n[/tex]

[tex]10.5-9.5=n[/tex]

[tex]n=1[/tex]

Hence,  number of hours you need to study on Saturday=n=1

Translate and solve: −5 times b is no less than −35.
William is thinking of a number, n and he wants his sister to guess the number. His first clue is that five less than two times his number is at least negative three and at most fifteen. Write and solve a compound inequality that shows the range of numbers that William might be thinking of.

Answers

Answer:

-3[tex]\leq \\[/tex]2n-5[tex]\leq[/tex]15

Step-by-step explanation:

2n-5 at least -3, at most 15

what is the constant of proportionality in y=3 and x=46.50

plsssssssss help its for homework

Answers

Answer:

58y is the correct answer to this question

5. Amy, Beth and Colin share some sweets in the ratio 2:3:4
Amy received 8 sweets.
Work out the number of sweets Beth receives.

Answers

Answer:

let the rati be x

2x=8

x=4sweets

beth=3x=3×8=24 sweets

Step-by-step explanation:

plz make me brainliest

A motor cyclist completes a journey at an average speed of 65 mph in 3½ hours. Calculate the distance travelled.

Answers

Answer:

227.5

Step-by-step explanation:

65 mhp

after 3.5 h

Just multiply

65 x 3.5 = 227.5

Answer:

227.5

Step-by-step explanation:

multiply 65 mph to 3 1/2 [3.5 (estimated)] to calculate the distanbce travelled

find the logarism of 6395​

Answers

Answer:

this is clear that answer

PLEASE HELP ME WITH GEOMETRY. I need help with this problem but I don't just want the answer, I want to know how to do it. Thank you.

Answers

Answer:

Pythagorean theorm

Step-by-step explanation:

A^2+B^2=C^2

c is the long line, a and b are the outside lines

A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to total cards in this set?

Answers

Answer:

[tex]Ratio = 2:3[/tex]

Step-by-step explanation:

Given

[tex]Cards = \{2,5,7,8,9,11\}[/tex]

Required

Ratio of odd numbers to total

First, list out the odd numbers

[tex]Odd = \{5,7,9,11\}[/tex]

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

[tex]Ratio = Odd : Total[/tex]

[tex]Ratio = 4:6[/tex]

Divide by 2

[tex]Ratio = 2:3[/tex]

Hence, the ratio of odd to total is 2 to 3

can someone please solve this?
I'm stuck and I don't know how​

Answers

Answer:

D

Step-by-step explanation:

If im inncorect you can check this with "Mathaway"

Answer: D

Hope this helps!

Help ASAP!!! Very confused

Answers

116 degrees
Take 155-39 as 155 is the whole diagram angle, but 39 is the MKL angle. So, you subtract 39 and that gives you JKM.

Answer:

Angle JKM = ANGLE JKL - MKL

= 155 - 39

= 116

Find the third term of a proportional if the first, second and fourth terms are 24, 36, 126, pls help me :(

Answers

Answer:

84

Step-by-step explanation:

Let the third term be x.

So, the numbers will be:

24, 36, x, 126

Since, all the four terms are in proportion.

Therefore,

[tex] \frac{24}{36} = \frac{x}{126} \\ \\ x = \frac{24 \times 126}{36} \\ \\ x = \frac{3,024}{36} \\ \\ x = 84[/tex]

Using eight eights and addition only, can you make 1000?

Answers

Answer:

888 + 88 + 8 + 8 + 8 = 1000

simple

please solve and receive brain list ​

Answers

Answer:

1 and 1

Step-by-step explanation:

Answer:

x = 1  and y = 1

Step-by-step explanation:

This is a system of equations. To solve it, you need to get one of your variables by itself first. (that means getting the x, or y by itself, just like how you solve equations when you only need to solve for one variable). I decided to solve the first equation, which is -x - 2y = -3 I'll solve it for the x, since there is no number being multiplied to it.

1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police officer writes in a week is normally distributed, what is the probability that an officer writes more than 60 tickets in a week?​

Answers

Answer:

3/5

Step-by-step explanation:

7 1/3 : 2 4/9= what does it equal?

Answers

Answer:

3/1 or 3

Step-by-step explanation:

7 1/3  = 7x3 + 1/3 =21 + 1/3 =22/3

7x3/3 = 21/3

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

2 4/9 2x9 + 4/9 = 18 + 4 /9= 22/9

2x9/9 = 18/9

Divide: 22/3 : 22/9 =22/3 x9/22 =

22/3 x 9/22 = 198/66 66/66 x 3/1 = 3

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