describe and correct the error a student made when finding the function rule for the data in the table

Answer:

Equation: y = ⅐x

Rate of change: ⅐

Distance = 10 miles

Step-by-step explanation:

Given

The information in the above table

Solving (a): The equation

To get the equation, we need to first calculate the slope (m)

Take any two corresponding values of x and y

(x1,y1) = (7,1)

(x2,y2) = (21,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - 1)/(21 - 7)

m = 2/14

m = ⅐

The equation is calculated using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 1 = ⅐(x - 7)

y - 1 = ⅐x - 1

Add 1 to both sides

y = ⅐x

Solving (b) Rate of change:

The calculated slope in (a) above represents the rate of change.

So:

Rate of change = Slope = ⅐

Solving (c): Distance when time is 70 minutes

This implies that x = 70

Substitute 70 for x in y = ⅐x

y = ⅐ * 70

y = 10 miles

Answer:

a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.

Step-by-step explanation:

Answer:

Step 2

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

Answer:

People shared styles of art and architecture

Step-by-step explanation:

In medieval times, Islamic religion and culture spread mainly through military conquest and trade.

With the spread of Islamic culture in the medieval times, the characteristic which were spread by trade was art and architecture.

Answer:

People shared styles of art and architecture

Step-by-step explanation:

It is what it is

Answer:  [tex]b^2[/tex]

You can write this as b^2

===================================================

Work Shown:

[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]

Answer:

50/21 or 2 8/21

Step-by-step explanation:

Answer:

y = -2x - 3

Step-by-step explanation:

2x + y = 3

y = -2x + 3

Parallel slope --> m = -2

y = mx + b

-5 = -2(1) + b

-5 = -2 + b

-3 = b

y = -2x - 3

Hope this helps!

Answer:

It does

Step-by-step explanation:

It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.

Hope this Helps!!

Answer:

Step-by-step explanation:

add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together

Answer:

100,623

Step-by-step explanation:

Answer: -$1.10

Step-by-step explanation:

Expected value=(0)50/100+(7)30/100+(9)20/100= 3.90-5= -1.10

Answer:

The standard error of the mean is 0.02

Step-by-step explanation:

Here, we want to calculate the standard error of the mean.

Mathematically;

standard error of mean = SD/ √n

where SD is the standard deviation and n is the number of samples

From the question, SD = 0.22 and n = 121

Inserting this into the equation

Standard error of the mean = 0.22/√121

= 0.22/11 = 0.02

The probability of obtaining a sample mean is "0.9545".

According to the question,

Mean,

[tex]\mu = 4[/tex]

Standard deviation,

[tex]\sigma = 0.22[/tex]

Random sample,

[tex]n = 121[/tex]

By Central limit theorem,

→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]

     [tex]= 0.2[/tex]

Now,

→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]

                               [tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]

                               [tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]

                               [tex]= 0.9545[/tex]

Thus the above response i.e., "option a" is appropriate.

Learn more:

https://brainly.com/question/16943601

Answer:

-10 :)

Hey champ! Here's the 'splination!

equation: 50-5x=100

50=-5x. (subtract 50 from both sides)

-10=x (divide both sides by -5)

Answer:

The answer is 3 to the power of 2= 9

Step-by-step explanation:

Answer:

I think the answer is A. I hope that is right

6×8= 48

4×12=48

Answer:

36%

Step-by-step explanation:

14+9+2=25

and the questions wants to know how many were wearing shorts

soooooooooooooo

divide 9 by 25 and that is 0.36 which would be 36% out the 25 wearing shorts

Answer:

10t³ - 95t + 45

Step-by-step explanation:

Solution : 10t³ - 95t + 45

Answer:

There will be 56 possible combinations if he is allowed to choose the same topping twice.

There will be 47 if he is not allowed to choose the same topping twice.

Step-by-step explanation:

Number of ways max choose two are 45

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of both the selection is irrelevant. You can choose the components of combos in any order;

Permutations and combinations can be mixed up. The sequence in which the chosen components are chosen is crucial in permutations, too. For instance, the configurations ab and ba are distinct in permutations but equivalent in combinations (regarded as one arrangement);

Given;

Toppings available to make an ice cream sundae = 10

The  number of ways can Max choose 2;

= 10C2

=10! / [(10-2)! X 2!]

=45

Therefore, Max can choose toppings is 45 by combination

Learn more about combinations here:

brainly.com/question/295961

#SPJ2

Answer:

Following are the solution to this question:

Step-by-step explanation:

Given:

[tex]\ Mean = 0.54 \times 555 \\[/tex]

           [tex]= 299.7[/tex]

[tex]SD = 11.74[/tex]

In point a:

[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]

[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]

In point b:

[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]

       [tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]

[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]

In point c:

[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]

       [tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]

[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]

I hope it is helpful for you

Answer:

the answer is 1

Step-by-step explanation: i took the test on k12 hope this helps

Answer:

1) d

2) 97.5 miles

3)I am unsure on

Step-by-step explanation:

1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)

2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5

3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry

Answer:

2

Step-by-step explanation:

becaue i siad so

Answer:

y= -3/5x + 12/5

Step-by-step explanation:

Remember, the formula is y= mx + b

#1 So we're gonna put it into that order by subtracting 3x from both sides:

3x + 5y= 12

-3x           -3x

We are left with this:

5y= -3x + 12

#2 Now we will divide 5 to both sides to isolate the variable

5y/5= -3x/5 + 12/5

#3 Now that the variable is isolated we are left with the answer:

y= -3/5x +12/5

Hope this helps :)

Answer:

2x+110°=180°

2x=70°

X=35°

Can I also have brainliest

Answer:

just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1

Answer:what he said is true

Step-by-step explanation:

hope this helps

Answer:

100

Step-by-step explanation:

5% of 2000 is 100