The state lottery board is examining the machine that randomly picks the lottery numbers. on each trial, the machine outputs a ball with one of the digits0 through 9 on it. (the ball is then replaced in the machine.) the lottery board tested the machine for40 trials and got the following results.

Answers

Answer 1

The state lottery board conducted 40 trials with a machine that randomly picks lottery numbers, and they recorded the results of each trial.

The results of the 40 trials conducted by the state lottery board are crucial for assessing the fairness and randomness of the machine. By analyzing the recorded results, the lottery board can determine if the machine is producing outcomes that align with the expectations of a truly random process.

To evaluate the machine's performance, the board should examine various aspects of the results. One key factor is the distribution of the digits observed. In a fair and random process, each digit (0 to 9) should have an approximately equal chance of being selected. If there are significant deviations from equal distribution, it could indicate a bias in the machine or a non-random pattern. Additionally, the board should assess the occurrence of repeated digits or specific sequences within the results. Randomness implies that each trial is independent of previous ones, and the probability of any particular outcome remains constant. If there are patterns or significant repetitions in the results, it may raise concerns about the machine's randomness and fairness.

By carefully analyzing the 40 trial results, the state lottery board can gain insights into the machine's performance and determine whether any further investigation or adjustments are necessary. This examination ensures the integrity and fairness of the lottery system, instilling confidence among participants and maintaining the trust of the public.

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Related Questions

3
Jake and three friends order 2 pizzas. Jake ate, Ethan ate, Christian ate and
Joey ate of the pizza ordered. How much of the pizza was left?

Answers

Answer:

i think four because there are four friends so there are four pizzas in each pizza box so 4+4=8 so 8-4=4 so how did i do.

Step-by-step explanation:

Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply.
A. x + x + 6 – 7 + x
B. 2x + 2 + x
C. 3 – x + 2x – 4 + 2x
D. x – 1
E. x + 1

(The answer is A and C)

Answers

The expressions are equivalent to the given expression are x + x + 6 – 7 + x and 3 – x + 2x – 4 + 2x. Therefore, the options A and C are correct answer.

The given expression is 6+(-x)+2x+(-7)+2x.

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, group the like terms, we get

(-x+2x+2x)+(6-7)

= 3x-1

Therefore, the options A and C are correct answer.

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Answer:

Step-by-step explanation:

the answers are A and C

x + x + 6 – 7 + x and 3 – x + 2x – 4 + 2x

Edge 2023

Find the limit of: $lim_{x\to 0}\frac{sin2x}{sin3x}$

Please use the hint in the problem, but also explain what the hint is. I don't know how they derived it from the original equation of: $\frac{sin2x}{sin3x}$

$Find the limit of: [tex]lim_{x\to 0}\frac{sin2x}{sin3x}[/tex]Please use the hint in the problem, but$

Answers

First of all I am solving the question and then I will explain the hint...

$ \sf \: lim_{x\to 0} \: \frac{sin2x}{sin3x}$

Evaluate the limits of numerator and denominator separately.

$ \sf \: lim_{x\to 0} \:( sin(2x)) \\ \sf \:lim_{x\to 0} \:( sin(3x))$

Evaluate the limit.

$ \sf \: 0 \\ \sf \: 0$

Since the expression 0/0 is an indeterminate form, try transforming the expression.

$ \sf \: lim_{x\to 0} \: (\frac{sin(2x)}{sin(3x)})$

Multiply the fraction by 2×3x/2×3xNow, Here we will make the use of hint.. When we evaluated the limit we got 0/0 so now we will multiply the fraction by 2×3x because we need to simplify or we can say eationalize the denominator...

$ \sf \: lim_{x\to 0} \: (\frac{sin(2x) \times 2 \times 3x}{sin(3x) \times 2 \times 3x})$

Use the commutative property to reorder the terms.

$ \sf \: lim_{x\to 0} \: (\frac{ 2 \times 3x \times sin(2x)}{3 \times 2x \times sin(3x)})$

Separate the fraction into 3 fractions.

$ \sf \: lim_{x\to 0} \: ( \frac{2}{3} \times \frac{ \sin(2x) }{2x} \times \frac{3x}{ \sin(3x) } )$

Evaluate the limit.

$ \sf \: \frac{2}{3} \times 1 \times {1}^{ - 1} $

Simplify the expression.

$ \boxed{ \tt \frac{2}{3}}$

What is the gradient of the line 2y=8x +3
A=4
B=3
C=8
D=3/2

Answers

Answer:

the is A=4......................

can someone help with this please! tell what number each symbol is equivalent to and be sure to show how to answer it, i will give brianlist

Answers

Answer:

Step-by-step explanation:

A standard piano has 88 keys: 52 white & 36 black. If you hit a note at random, what is the probability that it be white?

Hint: please simplify ratios or fractions when possible.

Answers

Answer:

117/484

Step-by-step explanation: hope this helps!

Answer:

P(w) = 13/22

Step-by-step explanation:

To find the probability, put the total, 88 on the bottom. Then put the "white", 52, on top.

Probability to play a white key:

52/88

4 goes into both these numbers. Divide by 4 on top and bottom to simplify.

52÷4 / 88÷4

= 13/22

The probability is 13/22

help please!!
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Step-by-step explanation:

1 not function

2 function

3 not function

4 function

ihope it helps

Which is an equation for the line shown?
A) x=2
B) y=2
C) x=-2
D) y=-2

Answers

Answer:

A) x=2

Step-by-step explanation:

Simplify: 3.2/0.4 •2• 0.4/0.1
option 1) 64
option 2) 16
option 3) 6.4
option 4) 1.6

Answers

Answer:

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

a helpful rule for converting radians to degrees is

Answers

Answer:

Degrees = Radians x 180/π

Degrees = 57.2958 x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958 to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958 ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.

Answers

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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the sum of the first n even positive integers is (n2 n). that is, 2 4 6 8 .... 2n = n2 n

Answers

The sum of the first n even positive integers is n² + n.

We are given that the sum of the first n even positive integers is (n2 n). that is,

2 + 4 + 6 + 8 .... + 2n = n2 n.

This is known as an Arithmetic Progression (AP) of even numbers with common difference of 2, where a = 2 and d = 2.

To find the sum of an AP, the formula isSn = n/2[2a + (n - 1)d]

Where Sn is the sum of n terms, a is the first term and d is the common difference.

Substituting values in the formula, we get the sum of the first n even positive integers is;

Sn = n/2[2a + (n - 1)d]= n/2[2(2) + (n - 1)(2)]= n/2[4 + 2n - 2]= n/2[2n + 2]= n(n + 1)= n2 + n

Therefore, the sum of the first n even positive integers is n² + n.

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The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options. $8 $9 $11 $13 $14

Answers

Answer:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

$8 . YES

$9 . HELL NO

$11 . DEFINITLY NOT

$13 . GET OUTTA HERE

$14 . MMM YES

Step-by-step explanation:

Answer:

A and E or 8, 14

Step-by-step explanation:

Find the difference. -3/5 - (-5/9)

Answers

-2/45

-3/5 + 5/9

-27/45 + 25/45

-2/45

Which kind of model best describes this set of data?

Answers

Answer:

Linear

Step-by-step explanation:

We can use different graphs to represent data sets.

Linear Functions

Linear functions are functions that form a straight line when graphed. In linear functions, there are inputs and outputs. The inputs are x-values and the outputs are y-values. In this case, the year is the input and the games are the output. In linear functions, each output changes by the same amount in each interval.

Representing Data

The table shows that the y-values (games) change by 0 each year. Since the change is constant each year, the data must be linear. So, linear would be the best model to describe the set of data. The other models would not represent the constant slope of the graph.

Bumper car A (281 kg) moving
+2.82 m/s makes an elastic
collision with bumper car B
(209 kg) moving +1.72 m/s.
What is the velocity of car A after
the collision?
(Unit = m/s)
Remember: right is +, left is -
Enter

Answers

After collision, Car A moves with a velocity of 4.1 m/s

Elastic Collision

An elastic collision is a collision in which there is no net loss in kinetic energy in the system due to the collision. Both momentum and kinetic energy are conserved in an elastic collision. It can be either one-dimensional or two-dimensional. In the real world, perfectly elastic collision is impossible because there is bound to be some energy conversion, however small. However, though there is no change in the linear momentum of the whole system, there is a change in the individual momenta of the involved components, which are equal and opposite in magnitude and cancel each other out and the initial energy is conserved.

The formula of elastic collision is given as

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Assuming after collision, car B has a velocity of 0m/s

281(2.82) + 209(1.72) = 281 * v + 0

792.42 + 359.48 = 281v

1151.9 = 281v

v = 1151.9 / 281

v = 4.1 m/s

The velocity of car A after collision is 4.1 m/s

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Enzo saw

45

squirrels at the park. This was

9

times as many squirrels as he saw in his yard.

Answers

Answer:

Its easy 45×9=405 simple Mental math

In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):

Answers

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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Can somebody plz answer this word question correctly thanks

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST! :DD

Answers

Answer:

i think its 1.6-

Step-by-step explanation: science

Answer:

60%

Step-by-step explanation:

Percentage of money saved by Ovide = $\frac{9}{15} * 100 = \frac{3}{5}*100$

= 3 * 20

= 60%

a sample of households in a community is selected at random from the telephone directory. in this community, 7% of households have no telephone, 12% have only cell phones, and another 24% have unlisted telephone numbers. the sample will certainly suffer from

Answers

The sample probability is Undercoverage.

According to the data, 2% of families have no telephone, 14% have just cell phones, and another 25% have unregistered phone numbers. Because the facility is only available to a segment of the population and not the entire population, it falls within coverage.

Undercoverage happens when a component of the sample population is not represented on the surveyed frame and hence has no possibility of being selected in the sample population; that is, the element has a zero probability of being selected.

Answers

-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)

Weights of newborn babies are skewed-right with a mean of 7.5 pounds and a standard deviation of 1.2 pounds. What percent of newborn babies would have weights between 5.1 pounds and 9.9 pounds?

Answers

Approximately 95.44% of newborn babies would have weights between 5.1 pounds and 9.9 pounds.

To find the Percentage of newborn babies with weights between 5.1 pounds and 9.9 pounds, we can use the z-score formula and the z-score table.

Given:

x₁ = 5.1 pounds

μ = 7.5 pounds

σ = 1.2 pounds

Calculating the z-scores:

z₁ = (x₁ - μ) / σ

z₁ = (5.1 - 7.5) / 1.2

z₁ = -2.0

x₂ = 9.9 pounds

z₂ = (x₂ - μ) / σ

z₂ = (9.9 - 7.5) / 1.2

z₂ = 2.0

Using the z-score table, we can find the probabilities associated with these z-scores.

The z-score of -2.0 corresponds to a probability of 0.0228, and the

z-score of 2.0 corresponds to a probability of 0.9772.

To find the percentage of newborn babies with weights between 5.1 pounds and 9.9 pounds, we subtract the probability of 5.1 pounds and less from the probability of 9.9 pounds and less:

P(5.1 ≤ x ≤ 9.9) = P(x ≤ 9.9) - P(x ≤ 5.1)

= 0.9772 - 0.0228

= 0.9544

Multiplying this result by 100, we find that approximately 95.44% of newborn babies would have weights between 5.1 pounds and 9.9 pounds.

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15) What is the measure, in degrees, of an angle that is equivalent to 3/360 of a circle

Answers

There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.

if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =

Answers

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Calculate the diameter or a circle with a radius of 12cm. show all your work.

PLZ HELPP

Answers

Answer:

24cm

Step-by-step explanation:

a radius is half the diameter

12x2=24

Answer:

Step-by-step explanation:

Diameter of a circle = 2 x radius

= 2 x 12 = 24cm

ADVICE HELP So I want to put on a nose ring and I'm going on a flight 14 hours and my dad can't know I'm getting one (my mom knows) can I hide underneath my nose after they put it in , can I hide it fresh ??

Answers

Of course but you need to remove it as soon as you come back

WRite all the answers and get 21 points

Answers

Answer:

$ \frac{4}{5} = \frac{16}{20} $

$ \frac{3}{7} = \frac{15}{35} $

$ \frac{4}{3} = \frac{12}{9} $

$ \frac{13}{15} = \frac{52}{60} $

5. the enlargement will be 9 inches

$ \frac{w}{15} = \frac{3}{5} $

multiply both sides by 15

$ \frac{w}{15} (15) = \frac{3}{5} (15) \\ w = 9$

6. 12 cm

7. 16

$ \frac{4}{2} = \frac{16}{8} $

4×4=16

8. 3.08

five u.s postal stamps cost $2.20 so we divide that by 5 to get the price of one which is $0.44

so $0.44 × 7 = $3.08

how many decimal places of pi did hiroyoki gotu memorize in 1995?

Answers

Answer:

42,195

Step-by-step explanation:

Find f(-3) if f(x)=x^2+2x-1

Answers

here is the answer with my work !!

Explain why kilobytes and terabytes would not be descriptive measurements for the amount of space on an average USB storage device (8 - 256 GB).

Answers

Answer:

The storage capacity of the USB is far greater than Kilobytes, but less than a Terabyte.

Step-by-step explanation:

The USB storage device has a capacity of (8 - 256) GB. This implies that the USB has the capacity to store files size from 8 Gigabytes to 256 Gigabytes.

8 Gigabytes ≅ 8 000 000 000 bytes

256 Gigabytes ≅ 256 000 000 000 bytes

Kilobytes would not be an appropriate descriptive measurement of the storage capacity of the USB because 1 kilobyte ≅ 1 000 bytes. Thus;

8 Gigabytes ≅ 8 000 000 kilobytes

256 Gigabytes ≅ 256 000 000 Kilobytes

The storage capacity of the USB is far greater than Kilobytes.

Terabytes can not be used to describe the measurement f the USB because; 1 Terabyte ≅ 1 000 000 000 000 bytes

Thus, the storage capacity of the USB is less than 1 Terabyte.

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According to the ____ the rate of inflation will be ____ in Lilliput. (fisher effect, quantity theory), (lower/higher)c. According to the ____ the ____ interest rate will be _____ in Lilliput. (fisher effect, quantity theory), (real/nominal), (lower/higher)d. Residents of Lilliput hold _____ real money balances and experience ______ shoeleather costs. (lower/higher) (higher/lower)e. Firms in Lilliput face ____ menu costs. (higher/lower)f. If both nations tax nominal capital gains, the after-tax real return on savings is _____ in Lilliput. (higher/lower)g. Inflation uncertainty is probably _____in Lilliput. (lower/higher) during a physical assessment of a 5-month-old child, the nurse observes the first tooth has just erupted and uses the opportunity to advise the mother to schedule a dental examination for her baby. when is the correct time for the dentist visit? Which Airlines lounges are the best ? 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