Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Number of hours in school per day 4 5 6 7 8 Sample A: Number of students 70 100 125 135 70 Sample B: Number of students 80 90 120 125 85 Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.

Answer:

2x+5 = 2x-10

2x = 2x-15

0 = -15???

This equation has NO SOLUTION.

Let me know if this helps!

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

Answer:

 -4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

Answer:

[tex]\displaystyle f[g(2)] = 3[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = -2x - 1\text{ and } g(x) = -x[/tex]

And we want to find the value of:

[tex]\displaystyle f[g(2)][/tex]

First, evaluate g(2):

[tex]\displaystyle \begin{aligned} g(2) &= -(2) \\ &= -2\end{aligned}[/tex]

Substitute:

[tex]\displaystyle f[g(2)] = f(-2)[/tex]

Evaluate f(-2):

[tex]\displaystyle \begin{aligned} f(-2) &= -2(-2) - 1 \\ &= 4 - 1 \\ &= 3\end{aligned}[/tex]

Therefore:

[tex]\displaystyle f[g(2)] = 3[/tex]

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation:

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

Answer:

1) Decreases

2) not constant

3) non-linear

4) >

5) 8

6) 5

OAmalOHopeO

Answer:

Step-by-step explanation:

1. Convert to decimals.

[tex]6\frac{3}{4}[/tex] = 6.75 cups of sugar - Total Sugar

[tex]1\frac{1}{2}[/tex] = 1.50 cups of sugar - Muffin Sugar

[tex]1\frac{3}{4}[/tex] = 1.75 cups of sugar - Nutbread sugar

2. Subtract muffin sugar from total sugar

6.75 cups total sugar  -  1.50 cups fir muffins = 5.25 cups remaining

3. Divide remaining sugar by amount used per loaf nutbread

5.25 cups sugar / 1.75 cups for each loaf nutbread = 3

3 Loaves of nutbread were made.

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

Answer:

Step-by-step explanation:

Considering triangle CNR and triangle WNO, there are:

∠C = W

CN = WN

∠CNR = ∠WNO (2 opposite angles)

deduce triangle CNR = triangle WNO

deduce RN = ON

Answer:

4 apples/ second

28800 apples in 2 hours

Step-by-step explanation:

20 apples / 5 seconds

Divide the top and bottom by 5

4 apples/ second

A few hours is 2 or 3

There are 3600 seconds in 1 hour

4 apples/ second * 3600 seconds / 1 hour = 14400 apples / hour

14400 apples/ hour

14400apples / hour * 2 hours

28800 apples in 2 hours

Answer:

4 apples per second; about 14400-43200 apples

Step-by-step explanation:

First, to find the unit rate, you need to divide the number of apples with the number of seconds...

20/5= 4 apples per second

Then, to find the number of apples being packed after a few hours, you multiply the unit rate of apples by the total amount of seconds...

(4)(3600) = 14400 apples

(4)(10800) = 43200 apples

And so on and so forth depending on the number of hours they need (remember to convert the hours into seconds and multiply by 4)

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Divide each side by -8

Distribute

Step-by-step explanation:

-8(n + 7) = -88.

Method 1

Divide each side by -8

n+7 = 11

Subtract 7 from each side

n = 4

Method 2

Distribute

-8n-56= -88

Add 56 to each side

-8n = -32

Divide by -8

n=4

Answer:

Distributive property & dividing -8 on both sides.

Step-by-step explanation:

You can begin solving the equation by either using the distributive property or dividing -8 on both sides.

Distributive Property:

[tex]-8(n+7)=-88\\-8n-56=-88\\-8n=-32\\n=4[/tex]

Dividing:

[tex]-8(n+7)=-88\\n+7=11\\n=4[/tex]

Answer:

i would say 7

Step-by-step explanation:

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:

17.5

Step-by-step explanation:

Half 37

Put into decimal

Answer:

Step-by-step explanation:

If 1/2 of the members who are present voted means, then the remaining half (1/2) didn't vote in favor of the new park.

Fraction of the members do not vote in favor of the new park = (1/2) of (37/50)

[tex]=\frac{37}{50}*\frac{1}{2}\\\\=\frac{37}{100}\\[/tex]

Answer:

2 1/12

Step-by-step explanation:

5/6+1/2+3/4

Get a common denominator of 12

5/6 *2/2   + 1/2 *6/6  + 3/4 *3/3

10/12 + 6/12 + 9/12

25/12

24/12 + 1/12

2 +1/12

2 1/12

[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]

First , we take LCM of denominators

LCM of denominators is 12

[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]

[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]

Answer:

10/13, 2/3, 7/11, 3/5, 5/9

Step-by-step explanation:

5/9 , 7/11, 3/5, 2/3, 10/13

Changing to decimal form

.5555(repeating), .636363(repeating), .6 , .666(repeating) ,.769230769

The largest is 10/13

Then 2/3

Then 7/11

Then 3/5

The smallest is 5/9

Answer:

Slope m = -5

y intercept = 4

so the equation of the line is,

y = -5x+4

Plot two points, (0,4) and (1,-1)

then connect them, I've attached a graph, your graph should look like that

Answered by GAUTHMATH

Answer:

y=-5x+4

Step-by-step explanation:

y=mx+b

the slope is m

the y intercept is b

-5/1= one right and down 5

4 is the starting point on the y-axis (the vertical one)

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the perimeter of the sector

Answer:

Sorry dont know :(

Step-by-step explanation:

Answer:

Here's one way to do it

Step-by-step explanation:

1. Solve the inequality for y

5x - y > -3

-y > -5x - 3

y < 5x + 3

2. Plot a few points for the "y =" line

I chose

\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}

x

−2

−1

0

1

2

y

−7

−2

3

8

13

You should get a graph like Fig 1.

3. Draw a straight line through the points

Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.

See Fig. 2.

4. Test a point to see if it satisfies the inequality

I like to use the origin,(0,0), for easy calculating.

y < 5x + 3

0 < 0 + 3

0 < 3. TRUE.

The condition is TRUE.

Shade the side of the line that contains the point (the bottom side).

And you're done (See Fig. 3).

The graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

linear inequality in the coordinate plane.

[tex]5x-y > -3[/tex]

which can be written as

-y > -3 -5x  

y < 3 + 5x ( standard way to express inequality )

Now , to get the points for  graph the inequality

We will treat inequality as equation

y = 3 + 5x

x                 y

0                 3

1                  8      

-1                 -2

-0.6             0

Now,

As per rule of graph the inequality

The boundary line is dashed for > and <  

and  If the symbol ≤ or < is used shade below the line.  

Therefore , graph the inequality is plotted accordingly .

Hence, the graph the inequality of linear inequality in the coordinate plane [tex]5x-y > -3[/tex] is shown below .

To know more about graph the inequality here:

https://brainly.com/question/21857626

#SPJ2

Answer:

Step-by-step explanation:

-8 <= x <= -1

Answer:

14234

Step-by-step explanation:

123124

Answer:

(5,0)(3,0)

Step-by-step explanation:

x^2 - 8x + 15 = 0

(x - 5)(x - 3) = 0

x - 5 = 0

x = 5

x - 3 = 0

x = 3