Use linear regression to find a function that fits the following points. (-5,14), (1,-16)

Using it's concept, it is found that:

a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

Item a:

For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

Item b:

Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

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Answer:

d = -6

Step-by-step explanation:

common difference, d = -7-(-1) = -6

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞). The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given function y = \(3^x\) is an exponential function the graph for this function is given ;

The range of the function y = 3x is y(0 to +∞), while the domain of the function is x(-∞ to +∞)

The value of y approaches zero, which is on the LHS of the function's graph, while the value of x moves towards -∞.

As x approaches +∞ the function y also approaches +∞.

Since, the exponential function y = 3x is graphed, with the domain being (-∞ to +∞) and the range being (0 to +∞).

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9514 1404 393

Answer:

  (d)  y ≥ 1

Step-by-step explanation:

The range is the vertical extent of the graph. Here, the graph has a minimum value of 1, but takes on all other values of y. The range is ...

  y ≥ 1

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer:

Step-by-step explanation:

say for example you have 105 as a answer you would round to 100 because it a closer to 100 than 200

Answer:

1:0.6

Step-by-step explanation:

Answer:

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

Real distance is 4.4 miles and on the map it is 8 inches.

The scale is:

or

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

20 slices

Step-by-step explanation:

If there were 11 large pizzas with 8 slices per pizza, that would mean that there are a total of 88 slices of pizza.

If there are four classrooms, that means that if each classroom had 20 slices, there would be enough for everyone with 8 pieces leftover.

20 x 4 = 80

Answer:

11.5

Step-by-step explanation:

Answer:

a. False

b. True

c. False

d. False

Step-by-step explanation:

(a) is False, the reason is: 39 is odd number and Set A contains only even numbers.

(b) is true  Set A contains even natural numbers and set B contains odd natural numbers. There is nothing common between the two set. This implies that intersection of the two set is empty.

(c) is False, the reason is: 48 is even natural number and Set B contains only odd natural numbers.

(b) is False  Set A contains even natural numbers and set B contains odd natural numbers. The union of two sets is set of natural numbers not the set A.

Answer:

80/89

Step-by-step explanation:

B is the answer

hope that helped:')

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

  0.3865 hours, or 23 minutes 11 seconds

Step-by-step explanation:

You want the time it takes for separation distance to be 63 km if one car is headed east at 76 km/h, and one is headed west at 87 km/h.

The speed at which the cars are separating is the sum of their speeds in opposite directions:

  76 km/h + 87 km/h = 163 km/h

The relation between time, speed, and distance is ...

  time = distance/speed

The time it takes for the separation distance to be 63 km is that distance divided by the separation speed:

  time = (63 km)/(163 km/h) ≈ 0.3865 h

In minutes and seconds, this is about 23 minutes 11 seconds.

It will be about 0.3865 hours until they are 63 km apart, or 23 minutes 11 seconds.

__

Additional comment

Numbers expressed as hours : minutes : seconds are effectively a base-60 notation. Similarly, degrees : minutes : seconds are also a base-60 notation system. The attached calculator shows the use of a →DMS function to convert hours to hours : minutes : seconds. This saves the effort of repeated division by 60 and keeping the remainder.

Considering the given expression and the numerical values, it is found that it's value is False.

The expression used in this question is given as follows:

\((x - y) \times 2 > y\)

The values considered are x = 4 and y = 6, hence:

\((6 - 4) \times 2 > 6\)

\(4 > 6\)

Hence, it is a False expression, as 4 is less than 6.

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Answer:

It is one half 1

                    2

Step-by-step explanation:

did test on edg 2020

Answer:

c on edge 2021  

Step-by-step explanation:

1/2

The mean number of unoccupied seats per flight during the past year will lie between 11.15 and 12.05.

What is mean in mathematics?

There are many mean types in maths, particularly in statistics. Each mean serves to condense a specific set of data, frequently so that the general magnitude and sign of the data set can be better understood.

The arithmetic mean, also referred to as "arithmetic average," is a calculation that divides the total number of values in a data collection by their sum to get the central tendency of that set of numbers.

a) Calculations:

Degrees of freedom = n - 1 = 225 - 1 = 224

For 224 degrees of freedom and 90% confidence interval,

Critical t value = 1.652

Hence,

90% confidence interval will be:

\(11.6 \pm 1.652*4.1/\sqrt{225}\)

\(11.6 \pm 0.45\)

(11.15, 12.05)

b) Interpretation:

We are 90% confident that the population mean number of unoccupied seats will lie between 11.15 and 12.05

c) Caution with interpretation:

In this scenario, individual confidence interval should be calculated rather than mean number of unoccupied seats since we can't generalize this interpretation for individual flights.

d) To narrow a confidence interval, we can either increase the sample size or can decrease the confidence level.

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Complete question

Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the records of 225 flights are randomly selected, and the number of unoccupied seats is noted for each of the sampled flights (from text, p. 306, example 6.3; use NOSHOW excel file). Given the mean number of unoccupied seats for the 225 random flights is 11.6 and the standard deviation is 4.1, estimate μ, the mean number of unoccupied seats per flight during the past year, using a 90% confidence interval.

a. Calculations

b.Interpretation

c.Caution with interpretation

d.How to narrow a confidence interval

Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

The equation will be t = 3s where t is total cost and s is number of snow cones. this can be find out be relationship of number of snow cones and total cost in table .

In given table :

Number of snow cones               Total cost

2                                                      6

6                                                      12

5                                                      15

From above table, we can relate

1st case :
number of snow cones = 2 and total cost = 6

i.e. 3 times of number of cones.

2nd case:

number of cones = 4 and total cost = 12

i.e. 3 times the number of cones.

3rd case :

number of cones = 5 and total cost = 15

i.e. 3 times the number of cones.

So, we see same pattern is repeated in all.

Then equation will be t = 3s where t = total cost , s = number of snow cones.

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Answer:

$57

Step-by-step explanation:

$40= 10 GB

$40= 13gb= 57

Answer:

Y = 3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

steps below

Step-by-step explanation:

If your question is: √(4y+8) = 14

2√(y+2) = 14

√(y+2) = 7

y+2 = 49

y = 47

If question is: √4y + 8 = 14

2√y = 14-8 = 6

√y = 3

y = 9

The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

(-8,5) (-12,-11)  (1-1) (-2,-4)

The domian is the set of the input values

Using the ordered pairs as a guide, we have

Domain = {-8, -12, 1, -2}

For the range, we have

The range is the set of the output values

So, we have

Range = {5, -11, -1, -4}

Hence, the range is  {5, -11, -1, -4}

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Answer:

  120

Step-by-step explanation:

You want to find a number such that 50% of it is 60, using the formula R×B = A.

An amount is found by multiplying the rate by the base. That is described by the formula ...

  R × B = A

Here, we're given the amount and the rate, and we want to find the base. We can fill in the given numbers and solve for B.

  50% × B = 60

  B = 60/0.50 . . . . . . divide by the rate

  B = 120 . . . . . . . simplify

50% of 120 is 60.

Answer:

149

Step-by-step explanation:

If a skid mark with a length of 82.5 feet was found, then the speed of the car is 13.59 miles per hour

The function is

l(s) = 0.46s^2 - 0.199s + 0.264

Where l is the length of a skid mark measured in feet at an accident scene

s is the speed of the car in miles per hour

Given that the skid mark length = 82.5 feet

Then the equation will be

0.46s^2 - 0.199s + 0.264 = 82.5

Rearrange the terms

0.46s^2 - 0.199s + 0.264 - 82.5 = 0

0.46s^2 - 0.199s - 82.236 = 0

Use the quadratic equation

= \(\frac{-b+/-\sqrt{b^2-4ac} }{2a}\)

Substitute the values in the equation

= \(\frac{0.199+/-\sqrt{(-0.199)^2-4(0.46)(-82.236)} }{2(0.46)}\)

= (0.199 ± 12.30) / 0.92

Then

(0.199 + 12.30) / 0.92 = 13.59

(0.199 - 12.30) / 0.92 = -13.15

Therefore, the speed of the car is 13.59 miles per hour

The complete question is:

The function l(s) = 0.46s^2 - 0.199s + 0.264 relates the length of a skid mark measured in feet at an accident scene to the speed of the car in miles per hour. that means an accident reconstructionist can measure the length of a skid mark and find the speed the car was traveling. if a skid mark with a length of 82.5 ft was found, find the speed of the car. round your answer to the nearest tenth.

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