Tammy says the quotient of 793 ÷ 6 is 132 r1. Use multiplication to check Tammy's answer. × 6 + 1 = Tammy's answer is .

Step-by-step Answer:

Customer is allowed to choose any five, where order does not count.

This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.

Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.

Mathematically, this number is represented by

C(11,5) = 11!/(6!5!) = 462, and is read

"Combination of 5 choices out of 11", or simply "11 choose 5".

Using the points where the blue line crosses the X and Y axis:

(0,5) ans (-1, 0)

The slope is the change in Y over the change in X:

0-5 / -1 - 0 = -5/-1 = 5

Slope = 5

Y intercept = y1 = 5

Equation = y = 5x+5

Answer:

The correct equation for the trend line is y = 5x + 5

Step-by-step explanation:

* Lets revise the form of the equation of the line

- The slope intercept form is y = mx + b, where m is the slope of  

  the line and b is the y-intercept

- In the problem we have a trend line in the scatter-plot

- we cant find the exact value of the slope of the line from the points

 in the scatter-plot because the line is best fit to the point, then we

 will start with the y-intercept of the line

- From the graph the line intersect the y-axis at point (0 , 5)

∴ The y-intercept is 5

- We have two answers have y- intercept = 5, the first and second

 answer, the right answer is one of them

- From the graph try to find two points closed the the line and use

 them to find the slope of the line

- There are two points approximately closed to the line at points

  (0 , 5) and (-1 , 0)

- Lets use the rule of the slope of a line which passes through points

  (x1 , y1) and (x2 , y2)

- The slope of the line = (y2 - y1)/(x2 - x1)

∵ The point (0 , 5) is (x1 , y1) and point (-1 , 0) is (x2 , y2)

∵ x1 = 0 , x2 = -1 and y1 = 5 , y2 = 0

∴ the slope = (0 - 5)/-1 - 0 = -5/-1 = 5

∵ The equation of the line is y = mx + b

∵ m = 5 and b = 5

∴ The equation is y = 5x + 5

Answer:

B. 600,000 (1.15)^{n-1}

Step-by-step explanation:

The n-th term of a geometric sequence with initial value a and common ratio r can be determined by multiplying the first term of the sequence (i.e. initial value a) by r^{n-1}.

The first term (i.e. initial value a) is 600,000.

The common ratio r can be calculated by dividing any two consecutive terms in the sequence:

r = 690,000/600,000 = 1.15 or r = 793,500/690,000 = 1.15

Thus, we get the answer:

the explicit rule that can be used to determine the value of the art collection n years after that is 600,000 (1.15)^{n-1}

Answer:an=600,000(1.15)^n−1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Using Euler's relationship for polyhedra

F + V - E = 2

F is number of faces, V number of vertices, E number of edges

Rearrange to express  E as the subject

Add E to both sides

F + V = E + 2 ( subtract 2 from both sides )

F + V - 2 = E ← substitute values

20 + 12 - 2 = E, hence

E = 30

Answer:

  tan(x) = -1 ±√5

Step-by-step explanation:

This is a quadratic equation in tan(x). Let z = tan(x). Then the equation is ...

  z² = 4 - 2z

  z² +2z = 4 . . . . . . . add 2z

  z² + 2z + 1 = 5 . . . . add 1 to complete the square

  (z +1)² = 5 . . . . . . . . write as a square

  z +1 = ±√5 . . . . . . . square root

  z = -1 ±√5 = tan(x) . . . . . subtract 1; use definition of z

Answer:

b 1/6

Step-by-step explanation:

the probability of the dice rolling on five or six is 2 out of 6. the probability that the coin will

The probability that the number cube will show a number greater than 4 and the coin will land with tails up  [tex]\frac{1}{6}[/tex].

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes

Probability of getting number greater than 4 on dice i.e., of getting 5 and 6 on the dice= [tex]\frac{2}{6} =\; \frac{1}{3}[/tex]

Now, along with probability of getting tails on the coin =[tex]\frac{1}{2}[/tex]

So, the combined probability of both the instance is= [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{2}[/tex]

                                                                                      = [tex]\frac{1}{6}[/tex]

So, the Probability is  [tex]\frac{1}{6}[/tex].

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Answer:

32 ft

Step-by-step explanation:

find the area of the large rectangle:

30 x 16 = 480

find the area of the small rectangle:

10 x 8 = 80

subract the small rectangle from the big rectangle to get the area of the shaded region:

480 - 80 = 400

now plug this area and the height into the equation for triangle area:

A = bh/2

400 = b(25)/2 multiply both sides by 2

2(400) = 2(25b/2)

800 = 25b divide both sides by 25

800/25 = 25b/25

32 = b

For this case we have that the area of the shaded region is given by the subtraction of the large rectangle minus the small rectangle.

[tex]A_ {sr} = 30 * 16-10 * 8\\A_ {sr} = 480-80\\A_ {sr} = 400[/tex]

Thus, the area of the shaded region is [tex]400 \ ft ^ 2[/tex]

If the triangle must have the same area and a height of 25, then we have:

[tex]400 = \frac {1} {2} b * 25\\400 = 12.5b[/tex]

Dividing between 12.5 on both sides of the equation:

[tex]b = 32[/tex]

Thus, the base of the triangle is 32.

Answer:

32

Answer:

The mean of the outcomes is 0.52.

Step-by-step explanation:

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  This comes out to:

     0     +    0.43  + 0.06 + 0.03 = 0.52

The mean of the outcomes is 0.52.

The mean of the outcomes will be equal to 0.52.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  

0+0.43  + 0.06 + 0.03 = 0.52

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Its the second graph. An expert above explains why its the second one.

Answer:

68

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

Answer:

1,005 cm³

Step-by-step explanation:

The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:

V = πr²h

V = π(8/2)²(20)

V = 1005.31 cm³

Answer:

1,005 cm³

Step-by-step explanation:

because im the goat

Answer:

$36

Step-by-step explanation:

Answer:

The answer is 11

Step-by-step explanation:

To solve the expression we must use order of operations following the memotecnic rule PEDMAS that states the order of operations. First solve parenthesis, then exponents, then divisions and multiplications from left to right and finally additions and subtractions from left to right . Following this rule we have:

30-2(7+2)-1

First parenthesis

30-2*(9)-1

There are no exponents. There are no divisions so we do multiplications first

30 -18 -1

There are no additions we only do the remaining subtractiosn form left to right

30-18-1= 12-1= 11

Answer:

11

Step-by-step explanation:

25.50 = 7d + 2p

52.50 = 5d + 10p

These are the two equations we're going to use to determine the price of popcorn.

First we need to eliminate one set of variables. Let's eliminate the drinks.

127.50 = 35d + 10p

-367.50 = -35d + -70p

-240 = 0d - 60p

-240 = -60p

P = 4.00

So, popcorn is $4, right? Let's keep working on the problem so we can double check...

So, now let's add the $4 as the variable for P.

25.50 = 7d + 8

52.50 = 5d + 40

17.50 = 7d

12.5 = 5d

d = 2.5

d=2.5

This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00

Popcorn is $4.00, drinks are $2.50

Hope I could help! :)

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

Answer:

A.  (4000/3)  π cubic units

Step-by-step explanation:

The volume of a sphere is given by V = (4/3) π r³

Since this sphere has a radius of 10, we can find its volume by inserting the value of the radius in the formula:

[tex]V = \frac{4}{3} \pi 10^{3} = \frac{4}{3} * 1000 * \pi =\frac{4000}{3} \pi[/tex]

Since all the possible answers are given with π in them, we can stop the calculation there and say the volume is (4000/3)  π cubic units.

Answer:

(4000/3)[tex]\pi[/tex] units³

Step-by-step explanation:

~apex

Answer:

138 cm³

Step-by-step explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

              = 6(23)

              = 138 cm³

So the volume of prism = 138 cm³

Answer:

  96°

Step-by-step explanation:

In a cyclic quadrilateral (one inscribed in a circle), opposite angles are supplementary. That means the angles marked (6m+13)° and (4m+7)° have a total value of 180°:

  (6m+13) +(4m+7) = 180

  10m +20 = 180 . . . . . . . . collect terms

  m +2 = 18 . . . . . . . . . . . . .divide by 10

  m = 16 . . . . . . . . . . . . . . . subtract 2

∠M = 6m° = 6·16° . . . . . . . use the value of m in the expression for ∠M

∠M = 96°

Answer:

Step-by-step explanation:

To calculate the theoretical probability here, we need three inputs:  1) the number of trials (which here is 7); the probability of success (which here is 0.75); and an integer representing the particular outcome (which here would be r:  {0, 1, 2, 3, 4, 5, 6, 7}.

(a)  Most of today's calculators have probability distribution functions built in.  I've used binompdf(n,p,r) here.  i. P(2) = 0.012 is correct; it's the result of typing in binompdf(7,0.75,2).  ii. P(3) = 0.058 is correct.  iii. P(4) = 0.005  is false; this probability is 0.173.  iv. P(5) = 0.015 is false.   v.  P(6) = 0.311 is correct.

(b) The probability that at least four trials are successful is equivalent to P(4) + P(5) + P(6) + P(7).   Another way in which to calculate this would be to add up P(0) + P(1) + P(2) + P(3) and subtract the resulting sum from 1.00:  That comes to:  1 - (0.000 + 0.001 + 0.012 + 0.058), or 1 - 0.071, or 0.929

Answer:

Segment JK is congruent to segment to GH ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the meaning of congruent triangles

- When two triangles are congruent then they will have exactly the

  same three sides and exactly the same three angles

- Congruent triangles have same areas and same perimeters

- Ex: If Δ ABC ≅ Δ XYZ, then their corresponding sides are congruent

 and their corresponding angles are equal

 side AB ≅ side XY , side BC ≅ side YZ , side AC ≅ side XZ

 angle A ≅ angle X , angle B ≅ angle Y , angle C ≅ angle Z

* Lets solve the problem

∵ Δ FGH ≅ Δ IJK

- The corresponding sides are:

# FG and IJ

# GH and JK

# FH and IK

∵ The corresponding side of GH is JK

∵ The corresponding sides are congruent

∴ GH ≅ JK

∴ Segment JK is congruent to segment to GH

Answer:

4

Step-by-step explanation:

Answer:

∠D = 13°

Step-by-step explanation:

∠A and ∠D are vertical angles and thus are congruent, hence

x - 2 = - 3x + 58 ( add 3x to both sides )

4x - 2 = 58 ( add 2 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

∠D = x - 2 = 15 - 2 = 13°

Step-by-step Answer:

Given:

Bill : 3 minutes / apple

Frank : 5 minutes / 2 apples, or 2.5 minutes / apple.

So in 15 minutes, Bill eats 5 apples, and Frank eats 15/2.5 = 6 apples for a total of 11 apples.

To eat completely at least 12 apples, it would take 15 minutes + 1 apples, which means 17.5 minutes, with Bill having eaten 5 5/6 apples, and Frank having eaten 7 apples, exactly.

So the minimum time to eat 12 apples would be 17.5 minutes.

Note: at 18 minutes, they would have eaten 13 1/5 apples.

Answer:

Third option and  sixth option

Step-by-step explanation:

It is important to remember that, by definition, "Excluded values"  are all those values that make the denominator equal to 0.

You need to substitute -5 into each rational expression:

[tex]\frac{x+5}{x-5}=\frac{x+5}{(-5)-5}=\frac{x+5}{-10}[/tex]

[tex]\frac{x^2-5}{x^2+5}=\frac{x^2-5}{(-5)^2+5}=\frac{x^2-5}{30}[/tex]

[tex]\frac{x-3}{x^2-25}=\frac{x-3}{(-5)^2-25}=\frac{x-3}{0}[/tex]

[tex]\frac{x^2-25}{2x^2+5}=\frac{x^2-25}{2(-5)^2+5}=\frac{x^2-25}{55}[/tex]

[tex]\frac{2x+1}{x^2+25}=\frac{2x+1}{(-5)^2+25}=\frac{2x+1}{50}[/tex]

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

Answer:

Question 1: x = 0,6,4

Step-by-step explanation:

#1. If we let x be the side of the cut-out square, the formula for the volume of the box is

[tex]\text{Volume} = (12 - 2x)(8 - 2x)(x).[/tex]

Expanding gives us

[tex]\text{Volume} = 4x^3 - 40x^2 + 96x. [/tex]

To find the zeros, we need to set the equation to 0, and the values of x that would result to zero would be:

[tex]x = 0, 6, 4[/tex]

As how it is told 'he' wanted to make a box with no lid for his marble connection, 'he' wants to cut out four "Identical" squares from all of the corners of the sheet (which I'm assuming is that there is four corners) and by doing so he then wants to fold all the sides...

So he buys one that is 8 by 12 inches, so you can draw a box that is (8, 12) put an 'x' at all four corners and 'cut' it the corners out.

Here's the formula that you can use... Which could be either one I guess..

-Cube = a 3

-- a is the side length

-Rectangular prism = a * b * c

-- a, b, c are the length, width, and height

The volume of a cube is side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

Once you found a function I think you should use the quadratic equation, which is- y=x2-20x+96

And you could use that equation to graph it out... But if they want it to be the volume of 12 cubic inches then er-... Yeah that's were i'm stumped at... My apologies..

Answer: y = 5/2x + 6

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - (-9) = 5/2(x- (-6))

y + 9 = 5/2(x+ 6)

y +9 = 5/2x + 15

y = 5/2x + 15 - 9

y = 5/2x +6

Variables represent unknowns.  They are often letters (like x) but can also be other symbols like Greek numerics.

Hope this helps!!

Answer: he is right it is variables that are the unknown

Step-by-step explanation:

Answer:

you multiply it by 100 since there are 100 cents in a dollar. so, 24804 cents. it stays at 4 because 2 is less than 5

Step-by-step explanation:

Answer:

$-248.04.

Step-by-step explanation:

This is the correct answer to your question.

Hope this helps!!!

Kyle.

The probability of each event occurring does not affect the probability of the other event occurring

I am not sure about the numbers you are working with, but you can use this to help you out:

[tex]p(a \: and \: b) = p(a) \times p(b)[/tex]

Good luck!

The answer is A: -1/2

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 6y = 9 into this form

Subtract 6x from both sides

6y = - 3x + 9 ( divide all terms by 6 )

y = - [tex]\frac1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 → C