A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

Answer:

-7 + 2 ___ 3 + (-9)

lets break this up

-7+2=-5

3+(-9) or 3-9 = -6

so the correct one is...

B: <

Answer:

[tex](f \circ g)(-8) = 16[/tex]

Step-by-step explanation:

The given function are;

f(x) = x² - 3·x - 12, and g(x) = -x - 12

[tex](f \circ g)(x) = f(g(x))[/tex]

Therefore;

[tex](f \circ g)(-8) = f(g(-8))[/tex]

g(-8) = -(-8) - 12 = 8 - 12 = -4

∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16

Therefore;

[tex](f \circ g)(-8) = f(g(-8)) = 16[/tex]

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

Answer:

-4 is the correct answer

Answer:

y=18

Step-by-step explanation:

equation:y=3x -7

x=7 then y =?

substitute the vale of x in the equation

y=3x-7

y=3*7-7

y=21-7

y=18

therefore the value of y corresponds to 7 is 18.

Answer:

Pythagoreas Theorem

Step-by-step explanation:

a^2+b^2=c^2

4^2+b^2=15^2

16+b^2=225

b^2= 209

14.45=b

Answer:

those people in the experimental group who watch the video.

Step-by-step explanation:

A dependent variable is defined as a variable for which the value depends on the other factors. A change in the depended variable in an experiment changes the result of the experiment or the research.

In the context, a sociologist who conducts an experiment to see the affect on the relationship in the young men after watching a video. Here the dependent variable are the young men and women who are given the video to watch before they answer the question.

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

Answer:

A and C

Step-by-step explanation:

Only A and C represent a 65% increase

Answer:

[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- General polynomial

The degree is 6

[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex] --- The polynomial precisely

Step-by-step explanation:

Given

[tex](a,b,c)= (1,4,-3)[/tex] --- zeros

[tex](m_1,m_2,m_3) =(3,2,1)[/tex] --- multiplicities

Solving (a): The polynomial

The polynomial is represented as:

[tex]p(x) = (x -a)^{m_1} * (x -b)^{m_2} * (x -c)^{m_3}[/tex]

So, we have:

[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)^{1}[/tex]

[tex]p(x) = (x -1)^{3} * (x -4)^{2} * (x +3)[/tex]

Include constant k; So, the polynomial becomes

[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]

Solving (b): The degree (d)

To do this, add up the multiplicities

[tex]d = m_1 +m_2 +m_3[/tex]

[tex]d = 3+2+1[/tex]

[tex]d = 6[/tex]

The degree is 6

Solving (c): The actual polynomial

In (a), we have:

[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]

[tex]p(0)=16[/tex] means:

[tex](x,p(x)) = (0,16)[/tex]

This gives:

[tex]16 = k(0 -1)^{3} * (0 -4)^{2} * (0 +3)[/tex]

[tex]16 = k(-1)^{3} * (-4)^{2} * (3)[/tex]

[tex]16 = k*-48[/tex]

Solve for k

[tex]k = \frac{16}{-48}[/tex]

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

So:

[tex]p(x) = k(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]

[tex]p(x) = -\frac{1}{3}(x -1)^{3} * (x -4)^{2} * (x +3)[/tex]

Answer:

A general sinusoidal equation is:

y = A*sin(w*x + p) + M

where:

A is the amplitude

w is the angular frequency

p is the phase shift

M is the midline.

Now, we know that:

Amplitude must be 6, so A = 6

period is 2*pi/3

Remember that the frequency is the inverse of the period, then:

f = 1/T

f = 1/(2*pi/3) = 3/(2*pi)

And the angular frequency is 2*pi times the normal frequency, then:

w = 2*pi*f = 2*pi*(3/2*pi) = 3

w = 3

Here we not have information about the midline, so M = 0.

And we know that the phase shift is one unit to the left.

Remember horizontal translations:

for a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, then the translation is to the left

if N < 0 , then the translation is to the right,

Here we know that the phase shift is to the left, so p must be positive, and we know that the shift is 1 unit to the left, then:

p = +1

Replacing these in the equation we get:

y = 6*sin(3*x + 1) + 0

y = 6*sin(3*x + 1)

Answer:

A =28 pi cm^2

Step-by-step explanation:

First find the area of the larger circle

A = pi r^2

A = pi (8)^2

A = 64 pi

Find the area of the smaller circle

A = pi r^2

A = pi 6^2

A = 36 pi

The shaded area is the larger circle minus the smaller circle

A shaded = 64 pi - 36 pi

A =28 pi cm^2

Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

[tex]\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2[/tex]

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

Answer:

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

Step-by-step explanation:

[tex]y=mx+b[/tex] is the slope intercept

[tex]m[/tex] is the slope

[tex]b[/tex] is the y-intercept

The slope in the graph is 4/2 or 2 simplified. From point (-2,6), you have to go down 4 and right 2 to get to the point (0,2)

The y-intercept is 2 because the line crosses the y axis at exactly 2.

Hope this helps

Answer:

15.6

Step-by-step explanation:

We see a dilation. So the ratio between UT and XW is 2:7.8. That is 1:3.9. If we put 4 in the 1 place, then we get 15.6

Please give brainliest

Hope this helped

Answer:

-25/3

Step-by-step explanation:

Answer:

a+52/3=9

a + 52/3 - 52/3 = 9 - 53/3

a=[tex]\frac{27- 53}{3}[/tex]

a= [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

An equation is needed to evaluate h(0).

When you evaluate h(0), you find the y-intercept of the graph because the independent variable inside the brackets, probably x or t, equates to 0.

The problem is needed for its context to be explained.

Although in most math problems, when h(x) form is used, h usually represents height.

I assume h(0) is the initial height, maybe the height that the rocket was launched or the height that the person who threw the ball is.

Answer:

S(t) = 1000(0.729)^t

Step-by-step explanation:

S(t) = 1000(0.9)^(3t)

S(t) = 1000((.09)^(3))^t

S(t) = 1000(0.729)^t

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

Answer:

20,100

Step-by-step explanation:

hundreds place is the third from the right

Answer:

20,100

Step-by-step explanation:

085 represents 0 hundreds, 8 tens and 5 ones.

That place keeper 0 is rounded  up to a 1 because the following '8' is greater than 5.

Thus, the desired rounded off number is 20,100.

Answer:

your answer is y=-8 for sure

Answer:

Step-by-step explanation:

2x + 4 + 7x - 13 = 180 degree

9x - 9 = 180

9x = 180 + 9

x = 189/9

x = 21 degree

2x + 4 + 3y + 14 = 180 degree (being linear pair)

2*21 + 4 + 3y + 14 = 180

42 + 18 + 3y = 180

60 + 3y = 180

3y = 180 - 60

y = 120/3

y = 40 degree

Answer:

C

Step-by-step explanation:

I might be wrong. I hope it helps:)

Answer:

o really sis/bro hsgsmhsndjd

y = -19

I started by adding 18 to both sides(inverse operation) then dividing by -2 to isolate the variable. What you do to one side must be done to the other

Answer and Step-by-step explanation:

Scale factor of 4

x, y: (3, 10)

Translate 3 units right, up 10 units.

#teamtrese #PAW (Plant aNd Water)

Answer:

80°

because its diagnol so the one in the top corner is the same as x

Answer:

x = 140°

Step-by-step explanation:

Sum of exterior angles of polygon is 360°

That is, x + 70 + 80 + 70 = 360

           x + 220 = 360

           x = 360 - 220 = 140°

Answer:

5.83 ft

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

34 = c²

c ≈ 5.8309 ≈ 5.83

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y=3/4x + 10

Step-by-step explanation:

First, lets put this into Point-Slope form: y-4 = 3/4(x+8)

Now, lets modify the equation in our favor, getting the "y" alone on the left hand side:  y-4 = 3/4(x+8)

                     +4                   +4

-----------------------------------------------

                  y=3/4(x+8)+4

Now, lets simplify....

                  y=3/4x + 6 + 4 = y = 3/4x+10

And we are done!

Answer:

B and E

Step-by-step explanation:

3^-8/3^-4 = 1/81 or .01234567...

I suggest that if you're having difficulty with a question like this again you go through all the answers individually so you can see what they equal! This method can really help in tests or where you can't get help.

3^-12 = 1/531441 <- not the answer

3^-4 = 1/81 <- answer!

3^2 = 9

1/3^2 = 1/9

1/3^4 = 1/81

1/3^12 = 1/531441

its also good to remember

3^-8/3^-4 would mean -8+4 = 3^-4 which would help you get your first answer.

Hope this helps!

[tex]B. \: {3}^{ - 4} \:✅\\ \\ E. \: \: \frac{1}{ {3}^{4} }\:✅ [/tex]

Step-by-step explanation:

[tex] \frac{ {3}^{ - 8} }{ {3}^{ - 4} } \\ \\ we \: know \: that \: \: \: \frac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{m - n} \\ \\= {3}^{ - 8 - ( - 4)} \\ \\ = {3}^{ - 8 + 4} \: ( \: ∵\: - \times - = + ) \\ \\ = {3}^{ - 4} \\ \\ ( \: or \: ) \\ \\= \frac{1}{ {3}^{4} } \\ \\( \: ∵\: {a}^{ - m} = \frac{1}{ {a}^{m} } \: ) \\\: [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]