An official for a national dog show studies the characteristics of one breed of dog, the Dandie Dinmont Terrier. Two common measurements are the height and weight of the dog, and the official would like to develop a model that would be helpful in predicting weight based on a given height. The official first makes a scatterplot that relates height and weight, then another that compares the logs of each measurement.

A graph titled Dandie Dinmont Terrier height versus weight has height (inches) on the x-axis, and weight (pounds) on the y-axis. The points curve up.



A graph titled Dandie Dinmont Terrier log height versus log weight has log (height) on the x-axis, and log (weight) on the y-axis. The points curve up.

Based on the graphs, which type of model is likely appropriate for predicting weight from height?

A linear model is appropriate because the graph of the transformed data is roughly linear.
A power model is appropriate because the scatterplot of height versus weight appears curved.
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.

Answer:

Second one

Step-by-step explanation:

Answer:

C. A 90° clockwise rotation about the origin

Answer:

29

Step-by-step explanation:

4 - 25i^2

4 - 25x(-1)

4 + 25 = 29

the ^2 means exponent 2

The perfect square trinomial is x^2 + 45/4.

To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.

A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.

In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.

To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.

Now, we can add this term to the given expression:

x^2 + 5 + 25/4

Combining the terms, we get:

x^2 + 25/4 + 20/4

Simplifying further:

x^2 + 45/4

For the perfect square binomial, we can write the expression using the exponent notation as follows:

(x + (sqrt(45/4)))^2

Note that sqrt denotes the square root.

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Answer:

radius is 16

diameter is 32

Step-by-step explanation:

Your radius is the line starting from the point in the middle to any part of the edge of the circle. A diameter is when there is a long straight line from both ends reaching the edges of the circle crossing the point.

A diameter is just the radius doubled but except it all has to be straight coming reaching both edges.

A radius is half of a diameter.

Answer:

radius = 16 cm

diameter = 32 cm

Step-by-step explanation:

radius = a straight line from the center of the circle to any point on the circle's circumference

We are given the radius (16 cm)

The diameter is equal to twice the length of the radius

So diameter = 16 * 2

16*2=32 so the length of the diameter is 32 cm

Answer:

B. Area = 256pi & Circumference = 32pi

Step-by-step explanation:

Area = pi r^2

A = pi (16)^2

A = 256pi

Circumference = 2pi r

C = 2(pi)(16)

C = 32pi

Answer:

25

Step-by-step explanation:

A = 70*M

B = 500 + 50*M

Costing the same means equal, so we have the equation:

70M = 500 + 50M

-50M           -50M

20M = 500

20M / 20 = 500 / 20

m- 25 months

The solution to the given functions are:

a) f(x) is an even function because f(−x) = f(x)

b) f(x) is an odd function because f(-x) = -f(x)

c) f(x) is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)

A function f is said to be an even function if f(−x) = f(x), for all x in the domain of f. A function f is said to be an odd function if f(−x) = −f(x), for all x in the domain of f.

a) The function is given as:

f(x) = 2x⁴ - x² - 4

f(-x) = 2(-x)⁴ - (-x)²  - 4

= 2x⁴ - x² - 4

Thus, it is an even function because f(−x) = f(x)

b) The function is given as:

f(x) = 2x³ + ¹/₋ₓ

f(-x) = 2(-x)³ + ¹/₍₋ₓ₎

= -2x - ¹/ₓ

Thus, it is an odd function because f(-x) = -f(x)

c) The function is given as:

f(x) = 2x² - 7x + 10

f(-x) = 2(-x)² - 7(-x) + 10

f(-x) = 2x² + 7x + 10

Thus, it is neither even nor odd because f(-x) ≠ f(x) nor f(-x) ≠ -f(x)

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Answer:

The expected frequency is 90

Step-by-step explanation:

If the given probabilities are taken as observed

pXL=0.10,      450*0.1= 45

pL=0.20,      450*0.2= 90

pM=0.40,     450*0.4= 180

pS=0.20,     450*0.2= 90

pXS=0.10     450*0.1= 45

We can assign the expected frequencies to be 450/5= 90 each

The chi square goodness fit test can be calculated as

Observed    Expected   (o-e)       (o-e)²          (o-e)² /e

45                   90         -45            2025              22.5

90                  90           0                0                    0

180                 90           90             8100               90

90                 90            0              0                         0

45                  90         -45             2025                   22.5    

∑                                                                                135        

χ²= 135

The χ² value at 0.05 is 9.49

The result is significant.

Answer:

180

Just took the test

Answer:

260*2

540*1

180*3

135*4

108*5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perpendicular bisector passes through the midpoint of the line.

The midpoint is:

Slope of the line:

The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.

Use point-slope form and point (0, 5) to find the equation of the line:

Correct option seem B as others don't match ours

Answer: -3

Step-by-step explanation:

The common ratio of the geometric sequence –4, 12, -36,... is -3.

12/(-4) =-3

-36/(12) = -3

They both multiply -3 for the next number.

Answer:$11,340

Step-by-step explanation:

If Thurston deposited $8400 into a savings account that earns 2.5% simple

interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

Using this formula

Future value=Principal+[(Principal ×Rate ×Time)÷100]

Where:

Principal=$8,400

Rate=2.5%

Time=14 years

Let plug in the formula

Future valve=$8,400+[($8,400×2.5%×14)÷100]

Future valve=$8,400+($294,000÷100)

Future valve=$8,400+$2,940

Future valve=$11,340

Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple  interest each year calculated annually. What is the future value of Thurston's  account after 14 years will be is C. $11,340

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Answer:

3/3

Step-by-step explanation:

here ya go

Answer:

= 2

Step-by-step explanation:

Answer:27

Step-by-step explanation:

Answer:

C) y = -5x + 32

Step-by-step explanation:

Only choice where the all the x values equal the y values

Answer:

D

The numbers are already in order so you don't need to do anything

Answer:

its b for me but d for yall

Step-by-step explanation:

all you do is count up hope this helps can u mark me brainlest

Answer:

45000

Step-by-step explanation:

put the equation like this

     1000

   x      45

And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by

Answer:45000

Step-by-step explanation:

so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest

Answer:

sh.150.00

Step-by-step explanation:

2÷5×250

=100

250-100

=150

Answer:

b= 6 for sure

Step-by-step explanation:

<4=22°

Answer:

<4+158=180 co interior angle

<4=180-158=22°

Answer:

solution given:

<4+<158°=180°[co- interior angle]

<4=180°-<158°=22°

<4=22° is your answer

Answer:

y+4=6(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=6(x-3)

y+4=6(x-3)

Answer:

42

Step-by-step explanation:

18/3= 6

6x7= 42

Answer:

42 with u need me to explain just say it in the comments :) hope this help

Step-by-step explanation:

Answer:

n = 15

Step-by-step explanation:

106 = 1 + 7n

1-        1-

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

105 = 7n

÷7       ÷7

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

15 = n

your goal is to get the variable by itself

Step-by-step explanation:

0/1 , 1/1

Multiply there denominators with any number...

0/1×60=0/60

1/1××60=60/60

Now,

You have many choices...

1/60,10/60,30/60,2/60,5/60........so on....

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90