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motikmotik
4 years ago
15

Jonas is conducting an experiment using a 10-sided die. He determines that the theoretical probability of rolling a 3 is StartFr

action 1 over 10 EndFraction. He rolls the die 20 times. Four of those rolls result in a 3. Which adjustment can Jonas make to his experiment so the theoretical and experimental probabilities are likely to be closer?
He can decrease the sample space.
He can increase the sample space.
He can decrease the number of trials.
He can increase the number of trials.
Mathematics
2 answers:
Masteriza [31]4 years ago
8 0

Answer: Decrease the number of trials so its closer to his theoretical probabibility.

Rufina [12.5K]4 years ago
7 0

Answer:

he can decrease the number of trail

Step-by-step explanation:

according to e-d-g-e-n-u-i-t-y

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The population, P in thousands of a resort community is shown by
Elena-2011 [213]

Answer:

t ≤ 4.24

Step-by-step explanation:

P(t) ≥ 40000 implies

500t/(2t²+9) ≥ 40000

Multiplying through by t², we have

500t ≥ 40000(2t²+9)

500t/40000 ≥ 2t²+9

Collecting like terms

0.0125t  ≥ 2t²+9

0  ≥ 2t²+ 9 - 0.0125t

2t²+ 9 - 0.0125t  ≤ 0

2t²- 0.0125t + 9 ≤ 0

Using the quadratic formula,

t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\=  \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\=  \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i

The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)

So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0

(t - 0.00313)² - 4.24² ≤ 0

(t - 0.00313)² ≤ 4.24²

taking square-root of both sides,

√(t - 0.00313)² ≤ √4.24²  

t - 0.00313 ≤ 4.24

t ≤ 4.24 + 0.00313

t ≤ 4.24313 ≅ 4.24

t ≤ 4.24

6 0
3 years ago
What are the domain and range of the mathematical function f(x)=x-3
vlabodo [156]

Domain: All Real Numbers

Range: All Real Numbers

Further explanation:

Let us define domain and range first

Domain is the set of all possible inputs for a function on which the function is defined.

While range is the output of the function obtained by inputting domain

Here,

Given function is:

f(x) =x-3

The function will not be undefined on any input, so the domain of the function is all real numbers.

Similarly, the range will also be all real numbers as there is no input which makes it undefined.

Keywords: Domain, range of a function

Learn more about domain and range at:

  • brainly.com/question/1485338
  • brainly.com/question/3511750

#LearnwithBrainly

7 0
3 years ago
In a recent game, Syler played 4 minutes of each period. The four periods
Rus_ich [418]

Answer: 25%

Step-by-step explanation:

6 0
3 years ago
yLab and Mastering3.3.43Question HelpIn triangle ABC, the measure of angle Bis 15 more than three times the measure of angle A.
lora16 [44]

∠A = 24°

∠B = 87°

∠A = 24°

Explanation:

The sum of angles in a triangle is 180 degrees

let measure of angle A = ∠A

∠B = 15 more than three times the measure of angle A

∠B = 15 + 3∠A

∠C = 45° more than the measure of angle A

∠C = 45° + ∠A

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 15 + 3∠A + 45° + ∠A = 180

collect like terms:

∠A + 3∠A + ∠A + 15 + 45 = 180

5∠A + 60 = 180

5∠A = 180 -60

5∠A = 120

∠A = 120/5

∠A = 24°

∠B = 15 + 3∠A = 15 + 3(24)

∠B = 87°

∠C = 45° + ∠A = 45° + 24°

∠C = 69°

8 0
2 years ago
Identify where the given information is suficient for graphing a linear equation. Check all that apply.
oee [108]

Answer:

  • All points are applicable apart from the second

Step-by-step explanation:

<u>One point and the slope of the line </u>

  • Yes.

<u>One point </u>

  • No

<u>One of the intercepts and the slope of the line </u>

  • Yes, it is equivalent to first option

<u>Both the intercepts </u>

  • Yes, it is equivalent to two points

<u>Two points</u>

  • Yes
5 0
3 years ago
Read 2 more answers
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