Old-fashioned oatmeal contains 27 grams of carbohydrates per 1/2 cup of dry oats. How many grams of carbohydrates are available in 2 1/4 cups of dry oats?

Answer:

Below!

Step-by-step explanation:

Given data: 1, 3, 5, 8, 10

Determining the median of the data:

The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.

Determining the mean of the data:

The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.

Determining the mode of the data:

The mode of the data is the number that has repeated the most.

Since all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.

Determining the range of the data:

The range of the data is the difference of the largest and smallest number (As said above).

Answer:

Median: 5

Mean: 5.4

Mode: 1, 3, 5, 8, 10

Range: 9

Step-by-step explanation:

Median: the middle value.

Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).

Mode: the number that is most frequent.

Range: the difference between the biggest and smallest values.

First, make sure your data set is in numerical order: 1, 3, 5, 8, 10

Median: 5

1, 3, 5, 8, 10

Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27

27/5 = 5.4

Mode: 1, 3, 5, 8, 10

1, 3, 5, 8, 10

All of them, as they all appear once.

Range: 9

10 - 1 = 9

Hope this helps!

Answer:

Rational

Step-by-step explanation:

5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:

 5.74  =  5.74/1

5.74 x 100/ 1 x 100

You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.

5.74 × 100/ 1 × 100

When we calculate the numerator and the denominator above, we get this fraction:

574/100

The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.

Answer:

[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Step-by-step explanation:

9x2−17x−85=0

For this equation: a=9, b=-17, c=-85

9x2+−17x+−85=0

Step 1: Use quadratic formula with a=9, b=-17, c=-85.

[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]

[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

Answer:

y = 3x + 2

Step-by-step explanation:

The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.

(2, 8)

y = 3x - 2

8 = 3(2) - 2

8 = 6 - 2

8 = 4

This statement is false

(2, 8)

y = 3x + 2

8 = 3(2) + 2

8 = 6 + 2

8 = 8

This statement is true

(2, 8)

y = 2x - 3

8 = 2(2) - 3

8 = 4 - 3

8 = 1

This statement is false

(2, 8)

y = 2x + 3

8 = 2(2) + 3

8 = 4 + 3

8 = 7

Therefore, b is the correct answer.

Hope this helps!

The relation that represents the pattern in the table of values is given as; y = 3x + 2

Let us first find the slope of the values from;

m = (y₂ - y₁)/(x₂ - x₁)

m = (8 - 5)/(2 - 1)

m = 3

Thus, the y-intercept is;

5 = 3(1) + c

c = 2

Thus, equation is;

y = 3x + 2

Read more about Linear Equation at; https://brainly.com/question/16834757

#SPJ5

Answer:

y=mx

Step-by-step explanation:

I actually dont know if this is wrong I am terribly sorry I just went off of my notes.

Answer:

32

Step-by-step explanation:

Answer: 30.8

Explanation: 20% of 16 is 3.2

16 + 3.2 = 19.2

50 - 19.2 = 30.8

I might be wrong but that's the answer I got

Answer:

the adjacent is compimentary

Step-by-step explanation:

because I passed

Answer:

False

Step-by-step explanation: Matter All was take up place

Answer:

2 hours 30 minutes

Step-by-step explanation:

Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.

90min-15min = 75min (one way, walking)

2*75min = 150min = 2h 30min

Mike's will walk to school and back home 2h 30min

(receipt one)

burger = 9

18% tip = 2.16

total with tip = 14.16

(receipt two)

salad = 8

total = 11

total with tip = 12.98

(receipt three)

salad = 8

water = 1.5

total = 9.50

18% tip = 1.71

Step-by-step explanation:

calculator

Answer:

Step-by-step explanation:

First lets write an equation to help us solve this.

26.25=3x+5.25

x=7

26.25 - 5.25 = 21.

21/3 = 7.

Answer:

You can bowl 7 games.

Step-by-step explanation:

To begin, you need shoes.

-$5.25

So, we would do $26.25 minus the amount for shoes $5.25

$26.25-$5.25 = $21

You now have $21 to spend on bowling the games. Since it is $3 each game, we can do the equation $21 = $3x. We can do this becuase you have $21 to spend and each game costs $3. So we can put x for how many games and 3 as the price of each game. Now, we simplify to get x alone. This will be how many games you can bowl.

21 = 3x

Divide by 3 on both sides

7 = x

So, you can bowl 7 games.

Answer:

2 1/4

Step-by-step explanation:

To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.

Let us set aside the fraction and subtract 10 from 12 first.

12 - 10 = 2

Therefore, the whole number of the difference will be 2.

Let's solve for the fraction now.

2/4 - 1/4 = 1/4

Therefore, the fraction in the answer will be 1/4.

Add 2 and 1/4 to get 2 1/4, which is the answer.

I hope this helps and please mark me as brainliest!

Answer:

60 people per square mile

Step-by-step explanation:

Given :

Population Density

Population density:-

Answer:

The statement is false

The regression lines 3x+2y=26 and 6x+y=31 are linear regressions

We have the equations to be:

3x+2y=26 and 6x+y=31

Make y the subject in the second equation

y = 31 - 6x

Substitute y = 31 - 6x in the first equation

3x+2[31 - 6x] = 26

Expand

3x+ 62 - 12x = 26

Collect like terms

3x - 12x = 26 - 62

Evaluate

-9x = -36

Divide by - 9

x = 4

Substitute x = 4 in y = 31 - 6x

y = 31 - 6 * 4

y = 7

This means that the mean values are 4 and 7

To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.

So, we have:

y = 13 - 3x/2 and x = 31/6 - 1/6y

The above means that:

Bxy = -1/6 and Byx = -3/2

The correlation coefficient is then calculated as:

r^2 = Bxy * Byx

r = -1/6 * -3/2

r = 0.25

Hence, the correlation coefficient between x and y is 0.25

We have:

Var(y) = 4

In (a), we have:

y = 13 - 3x/2

To solve further, we make use of:

Var(y) = Var(ax + b) = a^2Var(x)

This gives

Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)

So, we have:

Var(y) = 13^2 * Var(x)

Substitute 4 for Var(y)

4 = 13^2 * Var(x)

Divide both sides by 13^2

4/13^2 = Var(x)

Express 4 as 2^2

(2/13)^2 = Var(x)

So, we have:

Var(x) = (2/13)^2

Take the square root of both sides

SD(x) = 2/13

Hence, the standard deviation of x is 2/13

Read more about regression lines at:

https://brainly.com/question/4341286

Answer:

$362.70

Step-by-step explanation:

308 miles

D= s x t

= 56 x 5.5

= 308 miles

30 minutes is half an hour (0.5 or 1/2)

Hope this helps!

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]

Answer:

s = 66

Step-by-step explanation:

S = number of shakes

N = number of people

(N-1) = takes yourself out of the equation

÷ 2 = shaking hands with everyother person

so when 12 people present:

s = 12(12-1) /2

s = 12(11) /2

s = 132 /2

s = 66

Answer:

This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.

Answer:

  m + 75 > 495

Step-by-step explanation:

After saving an additional amount m, Emiyjah will have a total savings of ...

   m + 75

She needs to have that amount be greater than the cost of the smartphone, so she requires ...

  m +75 > 495

__

Additional comment

The solution to this inequality is m > 420.

Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].

Using linear functions, it is found that the two plans will donate the same amount for 4 miles.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the functions for the amount donated with n miles are given by:

They will donate the same amount for n miles as such:

f1(n) = f2(n).

10 + 0.5n = 4 + 2n.

1.5n = 6

n = 6/1.5

n = 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]

[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]

[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]

[tex] {tan}^{2} (a)[/tex]