Which of the following is an advantage to using tables? A.Tables make the most difficult problems much easier. B.Tables can help to see patterns in data. C.All problems require tables to solve them.

To find the probability that each corporation will get at least one contract out of eight corporations competing for nine different contracts, we can use the concept of permutations and the principle of inclusion-exclusion.

To find the probability that each corporation will get at least one contract, we can use the concept of permutations. Since there are 8 corporations and 9 contracts, we can calculate the total number of ways to assign the contracts to the corporations without any restrictions, which is 9! (9 factorial).

Next, we need to find the number of ways that each corporation gets at least one contract. This can be calculated using the principle of inclusion-exclusion. We subtract the number of ways that at least one corporation doesn't get a contract from the total number of permutations.

The number of ways that at least one corporation doesn't get a contract can be calculated by assigning 9 contracts to 7 corporations, which is 7! (7 factorial).

Finally, we can calculate the probability by dividing the number of ways that each corporation gets at least one contract by the total number of permutations:

Probability = (9! - 7!) / 9!

Answer:

Jay might run 4 miles in 20 minutes

Step-by-step explanation:

If Jay ran on Monday = 1 mile in 5 minutes

On Tuesday = 2 miles in 10 minutes

On Wednesday = 3 miles in 15 minutes

Jay is increasing his time by 5 minutes per day and distance 1 mile per day.

So the next day Jay might run 1 mile + previous day distance in 5 minutes + time of the previous day.

Therefore, Jay might run 4 miles in 20 minutes

Answer:  81/8 simplified form = 10 1/8 mixed form

Step-by-step explanation:

Hi, to answer this question we have to solve the expression:

First, we have to convert the mixed fractions into improper fractions:

-2 1/4 = -(2 x 4 +1) /4 = -9/4

-4 1/2 = -( 4 x 2 + 1 ) / 2 = -9/2

Next, we have to simply multiply both numbers:

-9/4 x -9/2 = 81/8 simplified form = 10 1/8 mixed form

Feel free to ask for more if needed or if you did not understand something.

Answer:

3/7

Step-by-step explanation:

Answer:

This is proved with two property of equality subtraction and multipication property.

Step-by-step explanation:

Given [tex]\frac{x}{6} + 2 = 15[/tex]

By subtraction property of equality

           [tex]\frac{x}{6} +2 - 2 = 15 - 2[/tex]

      ⇒  [tex]\frac{x}{6} = 13[/tex]

Now by multiplication property

          x = 13(6) = 78

Hence the result.

Answer:

2 × 10 × 7 = 7 × 10 × 2.

Step-by-step explanation:

Given  :  2 × 10 × 7

To find : Which of the following demonstrates the commutative property across multiplication.

Solution : We have given  2 × 10 × 7

By the commutative multiplication property :  a × b × c =  c×  b × a.

Example : 1 * 3 * 5 = 5 *3 *1

                    15 = 15.

So,  2 × 10 × 7 = 7 × 10 × 2.

      140 =  140

Therefore,  2 × 10 × 7 = 7 × 10 × 2.

x - 32 = 73

 to get x add 32 to 73

32 +73 = 105

x = 105

Answer:

Step-by-step explanation:

First, we need to consider a few rules about transformation of functions, specifically about the negative sign and the division of the function by a number.

The negative sign indicates that the function has to be reflected regarding the vertical axis. The normal function is like the third option, and the reflect one is like the last graph.

On the other hand, the fraction presents a contraction of the function size, but this characteristics is not enough to select the right graph, because third and fourth options have the same size.

Therefore, according to the negative sign in the given function, the correct answer is the last graph.

We want to see which one of the given graphs is the graph of the function:

f(x) = (-1/2)*x^3

The correct graph is the last one, positive at the left, when x is negative, and negative at the right, when x is positive.

Let's analyze our function, first we know that the parent cubic function:

g(x) = x^3

Is negative for negative values of x and positive for positive values of x, then the graph is below the horizontal axis at the left, and above the horizontal axis at the right.

But our function multiplies this by a negative number, -1/2.

Then that is inverted, we should see that at the left, the graph is above the horizontal axis, and at the right the graph is below the horizontal axis.

Then the correct option is the last graph.

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Answer:

Money leave for the waiter is $ 1.43 .        

Step-by-step explanation:

As given

After eating dinner at the local diner, your bill is $14.25.

if you tip 10% .

10% is written in the decimal form .

[tex]= \frac{10}{100}[/tex]

= 0.10

Money leave for the waiter = 0.10 × Dinner cost .

Put all the values in the above

Money leave for the waiter = 0.10 × $14.25

Money leave for the waiter =  $ 1.43 (Approx)

Therefore money leave for the waiter is $ 1.43 .                                      

Answer:  The correct option is (A) [tex]7\dfrac{1}{24}.[/tex]

Step-by-step explanation:  We are given to perform the following indicated operation :

[tex]E=1\dfrac{2}{3}+5\dfrac{3}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following rule :

[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]

From (i), we get

[tex]E\\\\=1\dfrac{2}{3}+5\dfrac{3}{8}\\\\\\=\dfrac{5}{3}+\dfrac{43}{8}\\\\\\=\dfrac{40+129}{24}\\\\\\=\dfrac{169}{24}\\\\\\=7\dfrac{1}{24}.[/tex]

Thus, the required answer is [tex]7\dfrac{1}{24}.[/tex]

Option (A) is CORRECT.

Answer-

The sequences of transformations that maps △ABC to △A′B′C′ are

Solution-

The coordinates of the vertices of ΔABC are

A = (−4, 6)

B = (−2, 2)

C = (−6, 2)

The coordinates of the vertices of ΔA′B′C′ are

A′ = (2, 6)

B′ = (0, 2)

C′ = (4, 2)

As all the y-coordinates of all the function are same, so the triangle is neither translated up or down (∵ (x, y) → (x, y±k)), nor reflected over x-axis(∵ (x, y) → (x, -y)).

As the signs of x-coordinate is changed, it might be reflected over y axis,

Rule for reflection over y axis is,

(x, y) → (-x, y)

so,

A" = (4, 6)

B" = (2, 2)

C" = (6, 2)

As the x-coordinates of vertices of ΔA′B′C′ are 2 units less than that of ΔA"B"C"

So it is then translated 2 units left.

Therefore, the sequences of transformations that maps △ABC to △A′B′C′ are

Answer:

Here is my test answer

Step-by-step explanation:

We want to find the concentration (percentage of salt in volume) in a mix of 25 mL of water an 125 mL of a 20% salt solution.

We will find that the concentration is: 16.7%

Let's see how to get that.

The concentration will be given by the quotient between the amount of salt and the total volume.

The amount of salt will be given by:

s = 125mL*0.2

This is because a 20% of these 125 mL are salt.

And the total volume is just the sum between the volume of water (25 mL) and the volume of salt solution (125 mL)

v = 25 mL + 125 mL = 150 mL

Then the concentration will be:

s/v = 0.2*(125 mL)/(150 mL) = 0.167

Now we multiply this by 100% to get:

0.167*100% = 16.7%

The concentration of the mixture will be 16.7%, so when we mixed the solution with water the concentration decreased, as expected.

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