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3 years ago

A six-sided dice is thrown once

Mathematics

2 answers:

g100num [7]3 years ago

8 0

A : 1/6 is the answer hope it helps

Keith_Richards [23]3 years ago

6 0

$\frac{1}{6}$

There are 6 sides in a cube and each side has a different number so you're chance of getting a 3 is 1/6.

You might be interested in

(e) The number of bees spotted in Amelie's garden can also be modeled by the function B(x) = 50√ k + 2x where x is the daily hig

Lunna [17]

Answer:

$\frac{dB}{dt}=4$

Step-by-step explanation:

Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.

Given:

Number of bees is modeled by the function $B(x)=50\sqrt{k}+2x$

The daily high temperature is increasing at a rate of 2 °F per day when the number of bees spotted is 100.

To find:

rate of change of number of bees when 100 bees are spotted

Solution:

$B(x)=50\sqrt{k}+2x$

Differentiate with respect to t,

$\frac{dB}{dt}=0+2(\frac{dx}{dt}) \\\frac{dB}{dt}=2(\frac{dx}{dt}) \\$

Put $(\frac{dx}{dt}) =2$

$\frac{dB}{dt}=2(2)=4$

At x = 100, $\frac{dB}{dt}=4$

4 0

4 years ago

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of ball

lesya692 [45]

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
$m= \frac{60-40}{15-10}$ and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x

6 0

3 years ago

The Students' Conjectures Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Po

noname [10]

Complete Question:

Emily and Zach have two different polynomials to multiply: Polynomial product A: (4x2 – 4x)(x2 – 4) Polynomial product B: (x2 + x – 2)(4x2 – 8x) They are trying to determine if the products of the two polynomials are the same. But they disagree about how to solve this problem.

Answer:

$A = B$

Step-by-step explanation:

<em>See comment for complete question</em>

Given

$A: (4x^2 - 4x)(x^2 - 4)$

$B: (x^2 + x - 2)(4x^2 - 8x)$

Required

Determine how they can show if the products are the same or not

To do this, we simply factorize each polynomial

For, Polynomial A: We have:

$A: (4x^2 - 4x)(x^2 - 4)$

Factor out 4x

$A: 4x(x - 1)(x^2 - 4)$

Apply difference of two squares on x^2 - 4

$A: 4x(x - 1)(x - 2)(x+2)$

For, Polynomial B: We have:

$B: (x^2 + x - 2)(4x^2 - 8x)$

Expand x^2 + x - 2

$B:(x^2 + 2x - x - 2)(4x^2- 8x)$

Factorize:

$B:(x(x + 2) -1(x + 2))(4x^2- 8x)$

Factor out x + 2

$B:(x -1) (x + 2)(4x^2- 8x)$

Factor out 4x

$B:(x -1) (x + 2)4x(x- 2)$

Rearrange

$B: 4x(x - 1)(x - 2)(x+2)$

The simplified expressions are:

$A: 4x(x - 1)(x - 2)(x+2)$ and

$B: 4x(x - 1)(x - 2)(x+2)$

Hence, both polynomials are equal

$A = B$

3 0

3 years ago

Me ayudan porfa? UnU

professor190 [17]

Answer:

c maybe 20

d maybe 33

and i dont know the last one

hola si esto está mal lo siento pero hice mi mejor esfuerzo y feliz gracias dando adiós que tengas un día bendito!

4 0

3 years ago

Read 2 more answers

Consider the equation and its solution.

AVprozaik [17]

Answer:

The correct answer is C. 2.

Step-by-step explanation:

To solve this problem, we should begin with the second step and work backwards in order to find the unknown value. If given the equation -15x + 30 = 25, we should factor out a -15 to simplify. This method is shown below.

-15x + 30 = 25

-15(x-2) = 25

We know this is correct because if we redistribute the -15 through the parentheses using the distributive property, we would get our original equation again. In other words, this answer is confirmed by the fact that -15 * -2 equals positive 30.

However, we need to look closely at the question that is asked. The box that we must fill in is already preceded by a negative sign, thus the correct answer is C. 2.

We can check our work by replacing the box with the number 2, getting -15(x-2) + 30 = 25, which was the equation we got earlier.

Hope this helps!

5 0

4 years ago