a box contains 5 green pencils and 7 yellow pencils. two pencils are chosen at random from the box without replacement. what is the probability they are different colors

Answer:

Step-by-step explanation:

Given the sequence:

The first term is 10 and the common difference is -5

The recursive formula for the given sequence is:

Answer:

it depends on the  soup

Step-by-step explanation:

Answer:

x = 106 degrees

Step-by-step explanation:

x + 104 + 40 + 110 = 360

x + 254 (No more 254)

- 254 (Again no more 254)

x = 106

Answer:

there isn't a math question

Step-by-step explanation:

Answer:

the probabiility that the selected man relies on a GPS system is 0.494

Step-by-step explanation:

From the given information:

Let X be the event that selected person is a man

Let Y be the event that selected person is a woman

Let Z be the event that selected relies or use GPS system.

So;

the following probabilities are:

P(X) = 0.50

P(Y) = 0.49

P(Z) = 0.77

P(X ∩ Z) = 0.38

P(Y ∩ Z) = 0.38

Now;

if the selected person is a man, the probability that he relies on a GPS system can be determined as follows:

\(P(Z|X) = \dfrac{P(X \cap Z)}{P(Z)}\)

\(P(Z|X) = \dfrac{0.38}{0.77}\)

\(\mathbf{P(Z|X) =0.494}\)

Thus, the probabiility that the selected man relies on a GPS system is 0.494

The answer is (180,80)

To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.

The given question is an inequality situation where we are asked to use graph to solve.

The data given are

The inequality for this problem is given is as

\(12x + 8y > 2500\\x + y < 280\)

Kindly find the attached image as the graph and solution to this problem.

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Answer:

25,000 - .17t

Step-by-step explanation:

The equation is written as

Aisha has 15 points

Let's use the given information to set up an equation to represent the relationship between the points each friend has.

Let x be the number of points Aisha has.

Then, according to the problem statement, we know that:

Carter has 7 1/2 more points than Aisha, so he has

x + 7 1/2 points.

Jamila has 4 - 1/2 more points than Carter, so she has

x + 7 1/2 + 4 - 1/2 points,

which simplifies to x + 11 points.

Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:

x + 11 = 26

x = 26 - 11

x = 15

Therefore, Aisha has 15 points.

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The only solution that is true about the dependent system of equations is "There are infinitely many solutions".

Inconsistent System

For a  system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of equations to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

As discussed above the Dependent consistent system has infinitely many solutions as their line are coinciding, therefore, the only solution that is true about the dependent system of equations is "There are infinitely many solutions".

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Answer:

65

Step-by-step explanation:

just took the quiz.com

Answer:

c

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

Because 1 km = 1,000 m, so you do 57 x 1,000.

Answer:

It has side lengths of 3 and 13

Step-by-step explanation:

If it has an area of 39, then let the sides be x and y: thus we get the two relationships:

xy=39

2(x+y)=32

From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:

x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0

This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.

Answer:

$619.65

Step-by-step explanation:

We know that he gets paid 180 a week, but we don't know how much he got from the commission of his sales. To find it, you multiply 9770 by 0.045 (because 0.045 = 4.5%) which you get 439.65. You then add the 180 to get 619.65.

9770 * 0.045 = $439.65

$439.65 + $180 = $619.65

Elmer earned $619.65 in that week.

Answer:

Step-by-step explanation:

-4x + 2 = x - 3

-5x + 2 = -3

-5x = -5

x = 1

y = 1 - 3

y = -2

(1, -2)

Answer:

seriously, what's it called?

The number that has a 4 in the hundred places.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A 4 with a value ten times less than the 4 in the number 123,469.

First, the value of the 4 in the number 123,469 can be found by separating each digit as:

123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9

Then the value of the 4 is 400.

Now we want a number that has a 4 with a value then times less than 400. Then we have

400/10 = 40

Then we want a number that has a 4 in the hundred places.

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Solution :

Let

Waiting time for accessing one record = W

Read time for moving the information = R

Total time for accessing to get one block of information = X

So, the random variable X is defined as :

X = W + R

  = W + 7

a). Calculating E(X)

E(X) = E(W+7)

      = E(W) + 7

      \($=\int_{0}^{28}\frac{1}{28-0}w dw +7$\)

       \($=\frac{1}{28}\int_{0}^{28}w dw +7$\)

       \($=\frac{1}{28}\left[\frac{w^2}{2}\right]_0^{28}+7$\)

      \($=\frac{1}{56}\left[28^2\right]+7$\)

      \($=\frac{28}{2}+7$\)

     = 14 + 7

     = 21

b). Calculating Var(X)

V(X) = V(W+7)

      = V(W)+0

      = V(W)

     = \($E(W^2)-[E(W)]^2$\)

     \($=\int_0^{28}\frac{1}{28}w^2 dw-[14]^2$\)

    \($=\frac{1}{28}\left[\frac{w^3}{3}\right]_0^{28}-196$\)

   \($=\frac{1}{28\times 3}\times 28^3-196$\)

  \($=\frac{28\times 28}{3}-196$\)

 = 65.33

c). Considering A is the random variable that can be defined as follows:

A = 6(W+7)

   =6W + 42

So calculating E(A)

E(A) = E(6W + 42)

      = E(6W) +42

      = 6E(W) + 42

     = 6(14) + 42

     = 84 + 42

     = 126

Given the equation;

You are to calculate the value of y. This is as shown below;

First collect the like terms;

Evaaluate the expression an find y;

Divide both sides by -6;

Hence the value of y is -5

Part (a)

Decreasing means that as x increases, y decreases.

So the intervals are \((-8, -4), (0, 5), (9, \infty)\)

Part (b)

A local minimum is where the function changes from decreasing to increasing.

So, the local minima are at \(x=-4, 5\)

Part (c)

The function is approaching negative infinity as x approaches both positive and negative infinity, so the leading coefficient is negative

Part (d)

The degree is given by the number of roots (including multiplicity).

From the graph, we see there is a single root at x = -6, a single root at x = -1, a single root at x = 1, a single root between x=6 and x=8, and a single root at around x = 10.

Thus, there are a minimum of 5 roots for the graph (there could be more outside of the given section)

However, since the graph has the same end behavior in both directions, the degree must be even.

So, the possible answers are any even number that is at least 6

Answer:

3n = 9n - 110

Step-by-step explanation:

Let's suppose that Patrick and Hall play n number of songs to earn the same amount of money.

For Patrick, the amount of money he earns is given by:

Money earned by Patrick = 3n

For Hall, the amount of money he earns after paying the $110 fee is given by:

Money earned by Hall = 9n - 110

To find the number of songs they will have to play in order to earn the same amount of money, we need to set these two expressions equal to each other and solve for n:

3n = 9n - 110

Simplifying this equation, we get:

6n = 110

Dividing both sides by 6, we get:

n = 110/6

n = 18.33 (rounded to two decimal places)

Since n represents the number of songs, it cannot be a fractional value. Therefore, we can conclude that they will have to play 18 songs to earn the same amount of money.

Therefore, the equation that could be used to find n, the number of songs they will have to play in order to earn the same amount of money, is:

3n = 9n - 110

Hope this helps!

Answer:

Exact Form:

\(\frac{26}{5}\)

Decimal Form:

\(5.2\)

Mixed Number Form:

\(5\frac{1}{5}\)

Step-by-step explanation:

Answer:

Not sure what you exactly need, so I'll give a simple answer=4/3 or 1 1/3

Step-by-step explanation:

Slope is the change in y over the change in x. Substitute the numerator and denominator and you'll get the slope. Substitute the numerator for 4 and the denominator for 3. You get 4/3, or 1 1/3.

Hope this helps! :)

Answer:

(4,3)

Step-by-step explanation:

8 - 4 = 4

5 - 2 = 3

m = (y2 - y1)  

                                 < a "fraction"

       (x2 - x1)

The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

Given that,

We have to find the minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters on each side of the pool and a further 5 meters along the corresponding sides of the pool. The pool's area is 1800 square meters.

We know that,

Area of the Total space = (l+10)(b+20)

Here,

b=1800/l

l= 30

So,

b=60

Area of the total space is (30+10)(60+20) = 40×80 = 3200 m²

The minimum area of deck = 3200-1800 = 1400 m²

Therefore, The minimal size for a pool and deck constructed as in the application, with the deck extending an additional 10 meters is 1400 meter square.

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Answer: well it’s not b or c so I’m guess it (4,-4) if I’m wrong I’m sorry

Step-by-step explanation:

I’m taking it on edge 2020 rn

The point O(4,-4) would map onto itself after a reflection across the line y=-x.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To find out which point would map onto itself after a reflection across the line y=-x, we need to reflect the given points across the line and see which one ends up in its original position.

The reflection of a point (x, y) across the line y=-x is (-y, -x).

Let's apply this formula to each given point:

The reflection of O(4,-4) across y=-x is (-(-4), -4) = (4, -4), which is same as the original point.

The reflection of O(4,0) across y=-x is (0, -4), which is not the same as the original point.

The reflection of O(0,4) across y=-x is (4, 0), which is not the same as the original point.

The reflection of O(4,4) across y=-x is (-4, -4), which is not same as the original point.

Therefore, the point O(4,-4) would map onto itself after a reflection across the line y=-x.

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Answer: 250 m/s

Step-by-step explanation:

900 km/h * 1000m/3600s = 250 m/s

-24x + 12

i am pretty sure that is it, but i am not good at these stuff. Sry if it's wrong.

Answer:

y and x stay constant

Step-by-step explanation:

linear equation