1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vedmedyk [2.9K]
3 years ago
7

Evaluate g(3) if g(x) = 2x + 2.

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0
G(3)=2(3)+2. Which equals 8.

Please vote my answer brainliest! Thanks.
You might be interested in
Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x
Anna11 [10]

Answer:

a) Figure attached

b) y=1.31 x +98.57

c) The correlation coefficient would be r =0.47719

d) y=1.31 x +98.57=1.31*21 + 98.57 =126.08

Step-by-step explanation:

(a) Draw a scatter diagram for the data.

See the figure attached

(b) Find x, y, b, and the equation of the least-squares line. (Round your answers to three decimal places.) x =__ y =__ b =__ y =__ + __x

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6576-\frac{300^2}{14}=147.429

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=38186-\frac{300*1773}{14}=193.143

And the slope would be:

m=\frac{193.143}{147.429}=1.31

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{300}{14}=21.429

\bar y= \frac{\sum y_i}{n}=\frac{1773}{14}=126.643

And we can find the intercept using this:

b=\bar y -m \bar x=126.643-(1.31*21.429)=98.571

So the line would be given by:

y=1.31 x +98.57

(c) Find the sample correlation coefficient r and the coefficient of determination r?2. (Round your answers to three decimal places.)

n=14 \sum x = 300, \sum y = 1773, \sum xy=38186, \sum x^2 =6576, \sum y^2 =225649  

And in order to calculate the correlation coefficient we can use this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}

r=\frac{14(38186)-(300)(1773)}{\sqrt{[14(6576) -(300)^2][14(225649) -(1773)^2]}}=0.9534

So then the correlation coefficient would be r =0.47719

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)

The % of variation is given by the determination coefficient given by r^2 and on this case 0.47719^2 =0.2277, so then the % of variation explaines is 22.8%.

(d) If a female baby weighs 21 pounds at 1 year, what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) ___ lb

So we can replace in the linear model like this:

y=1.31 x +98.57=1.31*21 + 98.57 =126.08

7 0
2 years ago
Ill give Brainliest. please explain your answers. im so confused on these questions :((
Katen [24]

Answer:

I'll answer the first one. Neither vehicles are crossing the speed limit since both are under 40mph.

Step-by-step explanation:

6 miles every 10 minutes = 36 miles every hour.

15 miles every 25 minutes = 36 miles every hour.

Speed limit = 40 mph

Neither vehicles are crossing the speed limit since both are under 40mph.

Hope this helped! :))

8 0
2 years ago
If ar2 + br + c = 0 has equal roots r1, show that L[ert] = a(ert)" + b(crt)' + cert = a(r - r1 )2er1. Since the right side of is
bezimeni [28]

Answer:

Solution is in the following attachment.

                   

Step-by-step explanation:

8 0
3 years ago
What is the y-intercept of y=3-4xy=3−4xy, equals, 3, minus, 4, x?
balu736 [363]

Answer:

y = 3 - 4x

To find the y intercept let x = 0

y = 3 - 4(0)

y = 3 or ( 0 ,3)

Hope this helps.

8 0
3 years ago
What is 3/14 divided by 7/10 equal
Genrish500 [490]
(3/14)/ (7/10)
= (3/14)* (10/7)
= 15/49

The final answer is 15/49~
5 0
3 years ago
Read 2 more answers
Other questions:
  • 100 points nani?!?!
    13·1 answer
  • The function b(x) = 2x − 5 determines how many bags of dog food need to be purchased for an animal shelter, where x is the numbe
    8·1 answer
  • Miranda has 4 lb 6 oz of clay is she divided it into 10 equal parts how heavy is each part?
    12·1 answer
  • Which is a factor of 24x2 − 44x + 12
    7·2 answers
  • Which of the following is the equation of least degree with roots 5 and 6?
    7·1 answer
  • Which expression is equivalent to ^4 square root x^10 <br><br> Please help:/
    5·1 answer
  • Brooklyn expanded her square garden. She made one side 12 feet longer and the other side 15 feet longer. The expanded rectangula
    5·1 answer
  • What would be the anwser
    15·1 answer
  • Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- an
    9·1 answer
  • Trong mặt phẳng Oxy cho M (1;-1) ;N (3;2) ; P (0;-5) lần lượt là trung điểm của các cạnh BC,CA và AB của tam giác ABC . Hãy tìm
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!