Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported​

Answer:

Equation:

21 = 1 + m

Solution:

20 = m

Step-by-step explanation:

What we know:

We know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:

21 =

What does 21 equal?

The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.

21 = milk at breakfast + milk after breakfast

Let's substitute what we know into this equation:

21 = milk at breakfast + milk after breakfast

21 = 1 + m

Now that we have our equation, let's solve.

21 = 1 + m

-1    -1

20 = m

Therefore, Karim drank 20 cups of milk after breakfast.

Answer:

[tex]f(x) = x + 3[/tex]

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]

[tex]m = \frac{0 + 2}{-3 + 5}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]

We have

[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]

[tex]1 = \frac{y+2}{x+5}[/tex]

Multiply both sides by x + 5

[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]

[tex]x + 5 = y + 2[/tex]

Subtract 2 from both sides

[tex]x + 5 - 2 = y + 2 - 2[/tex]

[tex]x + 3 = y[/tex]

[tex]y = x + 3[/tex]

Replace y with f(x)

[tex]f(x) = x + 3[/tex]

Hence, from the list of given options; Option B is correct

Answer: B. f(x) = x + 3

Step-by-step explanation:

a=1

b=-5

c=6

Coefficient is very easy. Just take the number in front of the constant x

Answer:

a = 1

b = - 5

c = 6

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = x² - 5x + 6

a = 1

b = - 5

c = 6

Answer:

A. Yes, because it passes the vertical line test.

Step-by-step explanation:

The vertical line test requires you to draw a vertical line through any part of the graph. If the line intersects the graph at only one point, the graph represents a function. This graph passes that test. As for the other answer choices, the "horizontal line test" is not a way to see if a graph represents a function. I hope this helps :))

Answer:

A. Yes, because it passes the vertical line test.

Step-by-step explanation:

The vertical line test states that you can draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function. In this case, the line doesn't intersect the graph more than once.

Answer:

Either

x = 4+3i /5   or     x = 4-3i /5

Step-by-step explanation:

To solve the quadratic equation using the quadratic formula, we will follow the steps below;

write down the quadratic formula;

x = -b±√b² - 4ac   /2a

First lets compare the equation 5x² - 8x + 5 = 0  to the standard quadratic equation  ax² + bx + c

a = 5  b = -8  and c= 5

we can now proceed to substitute the above value into the quadratic formula and then solve. That is;

x = -b±√b² - 4ac   /2a

   = -(-8)±√(-8)² - 4(5)(5)   /2(5)

    = 8 ±√64-100 /10

   =8 ±√-36  /10

    = 8 ±√36 . √-1    /10                           note that √-1 = i

      =8±6i   /10

       =[tex]\frac{8}{10}[/tex]  ± [tex]\frac{6 i}{10}[/tex]

         =[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]

Either

x = 4+3i /5   or     x = 4-3i /5

Answer:

answer in picture

Step-by-step explanation:

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

Answer:

f(6) = 4

Step-by-step explanation:

We want the value of the function when x =6

Go to where x=6 then go up to when you hit the blue line then find the y value

f(6) = 4

Answer:

1. x = -1

2. y = -3

Step-by-step explanation:

1. 5(5x+2) = 4(x+3)

5-5x+2 = 4x+12

5-5x+2 = 4x+12

-5x+3 = 4x+12

     -3         -3

-5x = 4x+9

-4x    -4x

-9x = 9

x = -1

2. -3³-2(2y-2) = 5y+4

-27-4y+4 = 5y+4

-4y-23 = 5y+4

     -4          -4

-4y-27 = 5y

+4y         +4y

-27 = 9y

y = -3

Answer:

1. 4.17

2.  -2.2

Step-by-step explanation:

Steps For Number 1

1.  solve put 5x and 1 together, then put two and three together.

5 - 6x +5 = 4

2. 6x + 5 =

x=  0.83

5 - 0.83 =  4.17

Steps For Number 2

1. -3^3 = -9

2. -9 - 2(2y-2) = 5y +4

3. solve for y in 2y -2

y = 0

4.  -9 - 2 = -7

5. -7 = 5y +4

5y +4 =-7 solve

     -4 = -4

  5y = -11 divide 5 by both

Answer:

Sarah.

Step-by-step explanation:

Do not be fooled by how sharp the incline is, all of these graphs are labeled at different increments on both the x and y axes.

We will now solve this problem by figuring out each student's words per minute by dividing their words read (y-axis) by their time (x-axis).

Since the graphs are all linear, meaning they are constant and will never change. No matter what point we use on either graph we will come to the same words per minute for that student. For the sake of this explanation I will use the last point on each graph.

Charlie: Charlie read 1,750 words in 10 minutes, meaning he read at 175 words per minute. 1,750 / 10 = 175

Riley: Riley read 10,000 words in 50 minutes, meaning she read at 200 words per minute. 10,000 / 50 = 200

Sarah: Sarah read 1,300 words in 6 minutes, meaning she read at 216.67 words per minute. 1,300 / 6 = 216.67

Mason: Mason read 1,000 words in 5 minutes, meaning he read at 200 words per minute. 1,000 / 5 = 200

In conclusion, Sarah reads the fastest at 216.67 words per minute!

Answer:

15 pi

Step-by-step explanation:

Answer:

15π cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= d* π

We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d

c= 15 cm * π

Since we are told to find the circumference in terms of pi, the answer is left as:

c= 15*π  cm

c= 15π cm

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

Answer:

15/2

Step-by-step explanation:

5*6/4=30/4=15/2

Answer: 7 1/2

Step-by-step explanation:

5 ÷ 4/6 = 7.5

7.5 as a mixed number is 7 1/2

7 1/2 simplified is 7 1/2

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

Step-by-step explanation:

the fireplace would have 24 bricks on the 10th row

Answer:

27 bricks

Step-by-step explanation:

y= 54- 3(x-1)

y= 57- 3x

is the function, y= number of bricks on the xth row, x= row number above the bottom one

x=10 ⇒ y= 57 - 3*10 ⇒ y= 27 bricks

Step-by-step explanation:

To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.

Answer:

12.5%, 40%, 124.5%

I would appreciate if you mark me as branliest!

Answer:

10n + 4

Step-by-step explanation:

$10 * n games + $4 since $10 per game + the flat rate

Answer:

4n+10

Step-by-step explanation:

Answer:

[tex]=2.23[/tex]$

Step-by-step explanation:

[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]

Answer:

$2.23

Step-by-step explanation:

17 packs = $37.91

/17. /17.

1 pack = $2.23

Answer:

4.5 + pi (3.14) is a  rational because it is a terminating decimal.  irrational because it is a non-terminating and non-repeating decimal.

hope this helped!

Answer: the second one

Step-by-step explanation:

The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).

(x, y) becomes (-y, x)  in 180° clockwise rotation

A(-5, 4)→(-4, -5)

B(-2, 4)→(-4, -2)

C(-1, 1)→(-1, -1)

Now,

The reflection of point (x, y) across the y-axis is (-x, y).

Then, coordinates become

(-4, -5)→A'(4, -5)

(-4, -2)→B'(4, -2)

(-1, -1)→C'(1, -1)

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

To learn more about the reflection over y-axis visit:

https://brainly.com/question/15175017.

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Answer:

It should be 6 square root of 5 or about 13.4 (decimal form)

Answer:

Josh's 9.00

Bagel cost 0.70

Ice cream 2.50

9.00–2.50=6.50

6.50

[tex]6.50 \div 0.70 7[/tex]

=10

Answer:

E

Step-by-step explanation:

Answer:

all statements are true

Step-by-step explanation:

for A  real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6

Answer:

It will take her 28 months

Step-by-step explanation:

You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.

Answer:

The Answer you are looking for is 28 months.

Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).

Step-by-step explanation: this is the one with a negative discriminant value

Answer:

iTS BBBB

Step-by-step explanation:

Just did it.

Answer:

work is pictured and shown

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

= [tex]\frac{10 - 7}{2 - 1}[/tex]

= [tex]\frac{3}{1}[/tex]

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

The matrix representation of the system looks:

| -650   0 |

|   -1  120 |

To clarify, it seems you have provided a system of equations:

y = 650x + 175

y = 25,080 - 120x

Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.

Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.

Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.

Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.

Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.

Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.

for such more question on matrix

https://brainly.com/question/30715889

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Answer: x > 1

Step-by-step explanation: