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4 years ago

11

A six-sided, fair number cube is rolled 100 times as part of an experiment. The frequency of the roll of the number 3 is 20. Whi

ch statement about rolling a 3 is correct?

2 answers:

tresset_1 [31]4 years ago

8 0

Since any number of the dye is equally likely to happen, then the probability of getting a "3" is 1/6

Kamila [148]4 years ago

5 0

C. The theoretical probability is 1/6. The experimental probability is 1/5.

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Show work<br> Find the volume of the pyramid

Burka [1]

<u></u><em>Hello there, and thank you for posting your question here on brainly.

______________________________________________________________
Answer: 128
</em><em>Why?
</em><em>______________________________________________________________
To find the volume of a cylinder, we have to use the formula lwh/3. The length is 8, width is 4, and height is 12. So we have to multiply all of those together, then divide by 3. (8 * 4 = 32) -> (32 * 12 = 384) -> (384/3 = 128) The volume is 128.

</em><em>Hope this helped you! ♥</em><em>
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3 0

3 years ago

Through: (3,3), parallel to y=8/3x+5

pshichka [43]

Answer:

(0,5)

Step-by-step explanation:

5 0

3 years ago

What is the domain and range for:<br> y = arcsin(tanx)

Semmy [17]

The graph looks like this, on the enclosed pic:
One feature is that it's periodic and torn (has cut-off points), meaning the domain is the same as in case of tan(x): x€R and x =/= π/2+πn.
The range equals the range of arcsin(x): -π/2<=y<=π/2 OR y€[-π/2;π/2]
Hope could understand and if it helped! :)

7 0

3 years ago

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

3 years ago

PLEASE HELP ! Suppose another company offers a special

kolezko [41]

The special is cheaper than Bella's price. Then the correct option is B.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Suppose another company offers a special banquet price of $4,000 for 150 people.

Then the special is cheaper than Bella's price.

Then the correct option is B.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

5 0

2 years ago