Derek conducts a probability experiment for his mathematics class. he uses the ten cards shown below.

Derek randomly picks one of the ten cards from a container, looks at the color, and replaces the card. he repeats this 100 times. how many times would you expect derek to pick up a white card.

Answer:

2=18a

Step-by-step explanation:

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Explanation:

f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.

x^2-2x+3 = -6x

x^2-2x+3+6x = 0

x^2+4x+3 = 0

(x+3)(x+1) = 0 .... see note below

x+3 = 0 or x+1 = 0

x = -3 or x = -1

Note: 3 and 1 multiply to 3, and also add to 4.

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Once we get the x values, we plug them into either equation to find the y value.

So if x = -3, then

f(x) = x^2-2x+3

f(-3) = (-3)^2-2(-3)+3

f(-3) = 9 + 6 + 3

f(-3) = 18

or we could say

f(x) = -6x

f(-3) = -6(-3)

f(-3) = 18

Both versions produce the same output when x = -3.

The second version is easier to work with.

Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.

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We'll use this idea for x = -1 now

f(x) = x^2-2x+3

f(-1) = (-1)^2-2(-1)+3

f(-1) = 1 + 2 + 3

f(-1) = 6

or we could say

f(x) = -6x

f(-1) = -6(-1)

f(-1) = 6

Like before, both versions of f(x) produce the same output when the input is x = -1.

The other solution is (-1, 6)

Answer:

You need to use the graph's equation and find the answer of y when x is 0 as this will give y when it is on the y axis.

To do this, substitute in 0 were x is in the equation and you will find the y intercept

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer: 2

Step-by-step explanation:

Given

Red pebble is equal to 3 yellow pebble

A blue marble is equal to a red pebble and 2 yellow pebble

A green pebble is equal to 3 red pebble

Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles

[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]

Express Red in terms of yellow in blue pebble equation

[tex]B=3Y+2Y\\B=5Y[/tex]

Now, express Green Pebble in terms of yellow pebble

[tex]G=3R=3(3Y)\\G=9Y[/tex]

Value of

[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]

Number    Frequency     Probability  

1                      4                  0.13

2                      6                  0.20

3                      5                  0.17

4                      7                  0.23

5                      3                  0.10

6                      5                  0.17

total                30                 1.00

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary.

5/30 = 1/6 or 0.166 or 16.6% or 17%.

Step-by-step explanation:

X=63 and Y=27 is the correct answer.

9514 1404 393

Answer:

  yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

__

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

__

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

__

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

Answer:

Radius, r = 2.80 cm

Step-by-step explanation:

Given the following data;

Volume of cylinder = 207 cm³

Height = 8.4 cm

Pie, π = 3.14

To find the radius of the water bottle;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a cylinder.

r represents the radius of the cylinder.

h represents the height of the cylinder.

Substituting into the formula, we have;

207 = 3.14 * r² * 8.4

207 = 26.376r²

r² = 207/26.376

r² = 7.85

r = √7.85

Radius, r = 2.80 cm

Answer:

I think iit's no consistent

Step-by-step explanation:

no consistent because there is no multiplying happening and no consistent adding happening

Answer:

y = |x + 2| - 5

Step-by-step explanation:

Answer:

The value of x = 6.5 units

Step-by-step explanation:

Given triangle is a right angle triangle;

Length of base = 2.5 unit

Length of perpendicular = 6 unit

Find:

The value of x

Computation:

Using Pythagoras theorem;

Hypotenuse² = Base² + Perpendicular²

Hypotenuse² = 2.5² + 6²

Hypotenuse² = 6.25 + 36

Hypotenuse² = 42.25

Hypotenuse = √42.25

Hypotenuse = 6.5 unit

The value of x = 6.5 units

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

To learn more about the triangle visit;

brainly.com/question/1058720

#SPJ4

Answer:

ur an idiot

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i would say D because in the hall she would still be able to see the people where as if they are on a piece of paper in a box she cant see who will be drawn.

Answer:

B.

Step-by-step explanation:

A. Incorrect because it’s unreasonable.

C. Incorrect because why would a teacher pull 2 students from a completely different class to read?

D. Incorrect because does a teacher do that just to ask 2 students to do something simple?

B. The most reasonable answer that most teachers will do.

Answer: your answer should be 33.00/B

Step-by-step explanation:

Because u need to divide 15 by 2 = 7.5

Then Times that my 4.40

U get 33 dollar

Answer:

11 + y > - 33

Step-by-step explanation:

To represent the expression :

Sum of 11 and y ; greater than - 33

Sum of 11 and y ; 11 + y

Greater Than - 33; > - 33

Hence ;

11 + y > - 33

Answer:

It's Tan.

Multiple Thumbs-up ^_^

Answer:

10

Step-by-step explanation:

Answer:

10 :)

Step-by-step explanation:

12 divided by 1 1/5 is the same as:

It is always easier to convert the fraction into a decimal:

like we converted 1/5 into .20.  

[tex]\frac{12}{1.2}[/tex]=10

A question you can ask yourself is:

How many times can you multiply 1.2 to get 12?

1.2*10=12.

Hope it helps! :))

its g, yww .

5 = 0.5

10 = 1.0

15 = 1.5

20 = 2.0

25 = 2.5

Answer:

B. X=7

Step-by-step explanation:

Because 9 greater than 7

Answer:

Step-by-step explanation:

The area is:

Answer:

[tex]60cm {}^{2} [/tex]

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

Answer:

Y = 0.09X1 - 167.40

Step-by-step explanation:

Year (X) : 2000, 2004, 2006, 2007, 20008

Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77

Using technology, the regression model obtained is :

Y = 0.09X1 - 167.40

With a slope of 0.09 and intercept of - 167.40

Answer:

Number 7: D. 378 ft

And I'm Not Sure About The Others

Step-by-step explanation:

Answer:

question 8 : 157 m²

Step-by-step explanation:

cone volume:. π×r²×h/3

3,14×25×6/3 = 157 m²

Answer:

If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.

Step-by-step explanation:

In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped