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3 years ago

A quadratic and an exponential function were fitted to a data set. Their residual plots

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

The Exponential function provides a better fit of the data.

Step-by-step explanation:

The closer the data points come to forming a straight line when plotted, the higher the correlation between the two variables, or the stronger the relationship. In comparing the scatterplots of Quadratic and Exponential functions, it is obvious that the points are clustered closer together in the Exponential function, while the data points on the Quadratic Function are more spread out.

Therefore, the Exponential function provides a better fit of the data set.

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Last month, the daily balance in Joana's credit card account was $1,000 for 9 days, $750 for 10 days, $850 for 4 days, and $900

FrozenT [24]

Answer:

$Average = \$873$

Step-by-step explanation:

Given

$1000 for 9 days

$750 for 10 days

$850 for 4 days

$900 for other days

Required

Compute the daily average

First, we need to compute the number of days her balance is $900

Assuming the billing cycle is 30 days;

$Number\ of\ days = 30 - (9 + 10 + 4)$

$Number\ of\ days = 30 - 23$

$Number\ of\ days = 7$

The Average is then calculates using:

$Average = \frac{\sum fx}{x}$

$Average = \frac{1000 * 9 + 750 * 10 + 850 * 4 + 900 * 7}{9 + 10 + 4+ 7}$

$Average = \frac{26200}{30}$

$Average = 873.333333333$

$Average = \$873$ --- Approximated

3 0

3 years ago

What is the value of X?

d1i1m1o1n [39]

Answer:

x=10

Step-by-step explanation:

We can use the angle bisector theorem to solve this problem

8 12

-------- = ---------

x+4 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x -12x +8 = 12x-12x +48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

4x/4 = 40/4

x=10

3 0

3 years ago

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the deale

marusya05 [52]

The number of cars that sold on the third week is (P3=26)

The number of cars that sold on the first week is (P4=33)

Step-by-step explanation:

Given:

The number of cars that sold on the first week is (P0=7)

The number of cars that sold on the second week is (P0=12)

We have to find the number of cars being sold on the upcoming week

From the data given above, frame the equation

Pn = Pn −1+7 ( 12-5=7 it denotes the cars sold in the first and the second week)

Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)

(If n=3)

Pn=5+7(3)

Pn=26

The number of cars that sold on the third week is (P3=26)

(If n=4)

Pn=5+7(4)

Pn=33

The number of cars that sold on the first week is (P4=33)

5 0

3 years ago

HELPP!!

disa [49]

Answer:

h = -9

Step-by-step explanation:

Try to make the left hand side and the right hand side equal. By dividing like

h = (-27x+72)/(3x-8)

= [-9(3x-8)]/(3x-8)

= -9

When both sides are equal, you can't find the value of x as there are infinitely many solutions of x.

6 0

2 years ago

The _____ _____, denoted modifyingabove p with caret, is given by the formula modifyingabove p with caretequals_____, where x

elena-14-01-66 [18.8K]

Answer:

Sample proportion ; phat

x / n

Step-by-step explanation:

The sample proportion may be explained as a proportional representation of part of the population or larger sample which have a certain character or exhibit a particular trait.

The sample proportion is expressed Mathematically as ;

phat = x / n

x = number of subjects with a specified characteristic ;

n = total sample size

For instance ;

The proportion of black balls in a sample of 100 balls is 15 ; the sample proportion of bla k balls will be :

phat = x / n = 15 / 100 = 0.15

5 0

3 years ago