The marketing club at school is opening a student store. They randomly survey 50 students about how much money
they spend on lunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars Spent on
Students
Lunch Each Day
2
$10
1
$8
12
$6
23
$5
8
$4
4
$3
$2.59
$5.11
$5.18
$9.07

1/2x^2 - 2x +1

Step-by-step explanation:

it cannot be negative x as the parabola has a minimum value, the coordinates of turning point is (-1,2)

as it is -1 there has to be a negative sign in equation

so the right one is 2nd one

Answer:

Step-by-step explanation:

the graph is clearly that of a parabola that opens up and has its vertex at (2, -1).  The coefficient of x^2 must be + because the parabola opens up.  

Using the point-slope formula y - k = a(x - h)^2, and letting 2 replace h and -1 replace k, we get:

y + 1 = a(x - 2)^2  or  y = a(x - 2)^2 - 1

Answer:

x = 4

Step-by-step explanation:

By the Alternate Exterior Angles Theorem, we know that the 2 given angles are equal to each other:

22x + 2 = 90

22x = 88

x = 4

Answer:

x = 4

Step-by-step explanation:

When lines are parallel, alternate exterior angles are congruent.  That means that the bottom left angle is 90 degrees.  Thus, 22x + 2 = 90.  Basic math then proves that x = 4.

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

An expression is a combination of symbols and it does not convey full meaning of anything.

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

Learn more about equivalent expressions at https://brainly.com/question/2972832

#SPJ2

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

Answer:

[tex]y = - \frac{ 3}{2} x[/tex]

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Let's rewrite the given equation into the slope-intercept form so we can find out its gradient.

3x +2y -6= 0

2y= -3x +6

Dividing by 2 throughout:

[tex]y = - \frac{3}{2} x + 3[/tex]

Thus gradient of given line= [tex] - \frac{3}{2} [/tex]

Parallel lines have the same gradient.

Thus gradient of line= [tex] - \frac{3}{2} [/tex]

Subst. m=[tex] - \frac{3}{2} [/tex] into the equation:

[tex]y = - \frac{3}{2}x + c[/tex]

To find c, substitute a pair of coordinates.

When x=0, y=0,

[tex]0 = - \frac{3}{2} (0) + c \\ c = 0[/tex]

Thus, the equation of the line is [tex]y = - \frac{3}{2} x[/tex].

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Answer:

15.  c

16.  b

i hope you figure out later in life how to solve.

Answer:

A, D

Step-by-step explanation:

When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.

Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.

Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

I hope this helps

Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

hope this help

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as:    3/8 is (4  3/5)% of what number?

Convert 4 3/5% into a decimal:  0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

Answer:

Yes they can. y= -4x-2 and y= 2x-5

Step-by-step explanation:

They can because if you subtract 4x from 4x+y=-2 from both sides of the equation you will get y= -4x-2 which has similar structure as y=2x-5 because you have y on the right side and the x and the conosant on the left.

Answer: yes.

y = 2x - 5. and y = -4x -2

Step-by-step explanation. This is commonly known as slope intercept form . The second equation is rewritten by subtracting 4x from both sides.

Answer:

4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres

Step-by-step explanation:

1 light year = [tex]9.46 * 10^{12[/tex] kilometres

So,

4.25 light years = 9.46 × 4.25 × [tex]10^{12[/tex] km

4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres

Answer:

4.25 light years

Step-by-step explanation:

Answer:

Valid

Step-by-step explanation:

No calculations, but,

Def. of isosceles triangle= two congruent sides.

yes is isosceles

Step-by-step explanation:

valid

Answer:

5g = 75

Step-by-step explanation:

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

Answer:

(–1, –5)

Step-by-step explanation:

Two linear equations are represented by using the tables below. A 2-column table with 4 rows titled Equation A. Column 1 is labeled x with entries negative 2, 0, 3, 4. Column 2 is labeled y with entries negative 8, negative 2, 7, 10. A 2-column table with 4 rows titled Equation B. Column 1 is labeled x with entries negative 3, negative 1, 1, 5. Column 2 is labeled y with entries negative 9, negative 5, negative 1, 7. The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)

Answer: To find the equation of line A, we can use any two points. Let us use points (-2, -8) and (0, -2). Therefore, the equation of line A can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-8)=\frac{-2-(-8)}{0-(-2)}(x-(-2))\\y+8=3(x+2)\\y+8=3x+6\\y=3x+6-8\\y=3x-2[/tex]

To find the equation of line B, we can use any two points. Let us use points (-3, -9) and (-1, -5). Therefore, the equation of line B can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-9)=\frac{-5-(-9)}{-1-(-3)}(x-(-3))\\y+9=2(x+3)\\y+9=2x+6\\y=2x+6-9\\y=2x-3[/tex]

To find the solution to the system of equations, we solve them simultaneously

y = 3x   - 2              .             .             .         1)

y = 2x - 3                .                .           .           2)

Subtracting equation 2 from 1:

x + 1 = 0

x = -1

Put x = -1 in equation 1)

y = 3(-1) - 2

y = -3 - 2

y = -5

Therefore the solution to the equation is (-1, -5)

the correct answer is B (–1, –5)

Answer:

5√2 Inches

Step-by-step explanation:

By definition of a square, all it's sides are the same measurement (typically signified by the variable s on all sides).

In a triangle (as with a intersection from one corner to the other (diagonal), It would create a right triangle. Remember, the two leg sides are the same measurement (typically placed as 1). There is one triangle side measurement rule:

1 , 1 , √2

Plug in the corresponding numbers to the corresponding units. the 5 inches is a side (not the hypotenuse), so it belongs in the 1:

1 x 5 = 5

1 x 5 = 5

√2 x 5 = 5√2

The measurement of it's diagonal (hypotenuse) is 5√2.

~

Answer:

5[tex]\sqrt{2}[/tex].

Step-by-step explanation:

The angles of a square are right angles. If you draw a diagonal, you'll see that it forms a right triangle. Since the sides of a square are congruent, the right triangle will be a 45-45-90 right triangle. The hypotenuse of a 45-45-90 right triangle is [tex]\sqrt{2}[/tex] times the length (5) .

The measure of the hypotenuse is  5[tex]\sqrt{2}[/tex].

The hypotenuse = diagonal.

The diagonal is  5[tex]\sqrt{2}[/tex].

Answer:

533 sq. ft.

Step-by-step explanation:

First find the area of the rectangle on the bottom:

22*13=286

Then in your head move the triangle on the right to the other side to create a triangle (if this doesn't make sense tell me in a comment)

It will turn into a rectangle that is 13 by 19 so find the area of that:

13*19=247

Then add the areas together:

286+247=533

Answer:

12x-15

Step-by-step explanation:

In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked)  then subtracted 15, which was the fine she had to pay.

Answer:

12x-15

Step-by-step explanation:

I took the test

Answer:

The mean score for Ken was 100.

Step-by-step explanation:

The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:

[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]

So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:

[tex]mean_{K} = \frac{400}{4} = 100[/tex]

The mean score for Ken was 100.

Answer:

D.(1,-1)

Step-by-step explanation:

A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both

Answer:

D. 1, -1

Step-by-step explanation:

Trust me g

Answer:

The answer is option A.

Step-by-step explanation:

Surface area of a sphere is 4πr²

where r is the radius

radius = diameter / 2

radius = 16/2 = 8cm

Surface area of the sphere is

4π (8)²

= 4(64)π

= 256π

= 804.2cm²

Hope this helps you.

Answer:

Step-by-step explanation:

[tex]2(x + 3) = x - 4[/tex]

Multiply each term in the parenthesis by 2

[tex]2 x + 6 = x - 4[/tex]

Move variable to L.H.S and change its sign

[tex]2x - x + 6 = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]2x - x = - 4 - 6[/tex]

Calculate

[tex]x = - 10[/tex]

Hope this helps...

Good luck on your assignment...