What was a helot in Spartan society? a soldier a farmworker a free noncitizen an enslaved person

A result is called "statistically significant" when the p-value is less than the significant level, typically 0.05.

This means that there is less than a 5% chance that the results are due to chance alone, and suggests that there is a real effect present in the data.

The Null Hypothesis is the assumption that there is no significant difference between the measured phenomenon and a certain value or set of values. A statistically significant result means that the observed data are inconsistent with the assumption of no difference, or no effect.

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Answer: y = 12/11 x + -12/11

Step-by-step explanation:

m = y2 -y1/x2 -x1

x1 = -4

x2 = 7

                  into m = y2 - y1/x2 -y1

y1 = -7

y2 = 5

m = 12/11

x = -4            into y = mx + b

y = -7

b = - 12/11

y = 12/11x + -12/11 into

y = mx + b :

y + 12/11x + -29/11

The two segments having the same length are line VW and line YZ. Option D

A number line can simply be defined as a straight line with numbers that are  placed at equal intervals or segments along its length.

It is also known as a visual picture or representation of numbers.

From the number line shown, we have the following deductions;

From the above solutions, we can see that line

Line VW is equal in length to line YZ

Thus, the two segments having the same length are line VW and line YZ. Option D

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Answer:

umm let me see

Step-by-step explanation:

Answer:

  T/V = P/(nR)

Step-by-step explanation:

You want to find T/V from the equation PV = nRT.

T is in the numerator of the ratio you want. V is on the other side of the equation from T, so you can put V in the denominator by dividing both sides of the equation by V:

  \(P=\dfrac{nRT}{V}\)

Now, you can get the ratio T/V by itself by dividing by its coefficient:

  \(\dfrac{P}{nR}=\dfrac{T}{V}\)

Swapping sides gives you the relation you want:

  \(\boxed{\dfrac{T}{V}=\dfrac{P}{nR}}\)

__

Additional comment

Isolating variables and solving equations using the properties of equality should be familiar processes.

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There are 8 outcomes in the sample space.

When flipping a coin 3 times, there are 2 possible outcomes for each flip: heads (H) or tails (T). Thus, the total number of outcomes in the sample space is the number of possible combinations of H and T for 3 flips, which is 2³ = 8.

These outcomes can be listed as follows: HHH, HHT, HTH, THH, HTT, THT, TTH, and TTT. Each outcome is equally likely to occur, assuming the coin is fair and the flips are independent.

The concept of sample space is an important one in probability theory, as it represents the set of all possible outcomes of an experiment.

Knowing the sample space can help us calculate probabilities for specific events within that space and inform decision-making in a wide range of fields, from finance to sports to public health.

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24 hours takes all five machines to fill the same production order.

Given,

Four machines take 30 hours to fill a certain production order.

\(Rate = \frac{Work}{Time}\)

Let, Total work = 1 unit

The rate of 4 machines = \(\frac{1}{30}\)

We can let the rate of 5 machines be n and create the equation:

\(\frac{4}{\frac{1}{30} }=\frac{5}{n}\)

\(120=\frac{5}{n}\)

\(120n = 5\)

\(n=\frac{5}{120}\)

\(n=\frac{1}{24}\)

Time taken by five machines = \(\frac{1}{\frac{1}{24} }\)

Time is taken by five machines = 24 hours

Hence, 24 hours takes all five machines to fill the same production order.

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Answer:

1

Step-by-step explanation:

The absolute value of -3 is just 3, because it has a distance of 3 away from 0. Therefore, \(\mid -3 \mid -2=3-2=1\). Hope this helps!

Answer:

19/9

Step-by-step explanation:

Important concepts and formulas used to solve the following question:

Answering the question

We want to evaluate the following expression given that h = 2/3

3 - h ÷ 3/4

==> plug in h = 2/3

3 - 2/3 ÷ 3/4

==> First we do the division before the subtraction according to PEMDAS. Rather than trying to divide a fraction by another fraction we can use "keep change flip" (dividing a number by a fraction is the same as multiplying the number by the fractions reciprocal)

3 - 2/3 × 4/3

==> multiply 2/3 and 4/3

3 - 8/9

==> simplify

19/9

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\(\huge\text{Hey there!}\)

\(\mathsf{3 - h \div \dfrac{3}{4}}\)

\(\mathsf{= \dfrac{3}{1}- \dfrac{2}{3} \div \dfrac{3}{4}}\)

\(\mathsf{= \dfrac{3}{1}- \dfrac{2}{3}\times\dfrac{4}{3}}\)

\(\mathsf{= \dfrac{3}{1} - \dfrac{2\times4}{3\times3}}\)

\(\mathsf{= \dfrac{3}{1} - \dfrac{8}{9}}\)

\(\mathsf{= \dfrac{3\times 9}{1\times9} - \dfrac{8}{9}}\)

\(\mathsf{= \dfrac{27}{9} - \dfrac{8}{9}}\)

\(\mathsf{= \dfrac{27 - 8}{9 - 0}}\)

\(\mathsf{= \dfrac{19}{9}\rightarrow 2 \dfrac{1}{9}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{19}{9}\ or \ 2\dfrac{1}{9}}}\huge\checkmark\)

\(\uparrow\large\text{Either of those should work because they are practically the same}\\\large\text{thing}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

distance between points is 5.6568...

when you round it will be 5.7

answer is 5.7

Step-by-step explanation:

find the distance between two points using distance formula

The probability that, out of a random sample of 10 internet users, 6 are concerned about the privacy of their e-mail can be calculated using the binomial probability formula.

The binomial probability formula allows us to calculate the probability of a specific number of successes (concerned internet users) in a given number of trials (random sample of 10 internet users), given the probability of success in a single trial (95% or 0.95 in this case).

Using the binomial probability formula, we can calculate the probability as follows:

\(P(X = 6) = C(n, x) * p^x * (1 - p)^(n - x)\)

P(X = 6) is the probability of exactly 6 internet users being concerned about privacy,

n is the total number of trials (10 in this case),

x is the number of successful trials (6 in this case),

p is the probability of success in a single trial (0.95 in this case), and

C(n, x) is the number of combinations of n items taken x at a time.

Plugging in the values, we have:

\(P(X = 6) = C(10, 6) * 0.95^6 * (1 - 0.95)^(10 - 6)\)

Calculating this expression will give us the probability that exactly 6 out of the 10 internet users in the random sample are concerned about the privacy of their e-mail.

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Ann will get a payment of £220.

So, according to the question, the correct logic will be:

Therefore, Ann will get a payment of £220.

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J in 55min

J in 45min ( bigger hose)

Alternative method

The trick is to convert the numbers you are given to numbers that you can add together.

You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.

So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.

Answer:

4

Step-by-step explanation:

\(3x+2+3x+3=5x+9 \\ \\ 6x+5=5x+9 \\ \\ x=4\)

Step-by-step explanation:

\(x = \frac{4}{3} \)

\(1. \: 6x + 6 = 5 + 9 \\ 2. \: 6x + 6 = 14 \\ 3. \: 6x = 14 - 6 \\ 4. \: 6x = 8 \\ 5. \: x = \frac{8}{6} \\ 6. \: x = \frac{4}{3} \)

Answer:

27*10⁵ is basically 270000.

Answer:

g=7

Step-by-step explanation:

5.1 times 7 is 35.7

Answer:

Step-by-step explanation:

5.1g = 35.7

g = 35.7 / 5.1

= 7.

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The area of triangles is a. 30 inches²,   b.18 inches², and c. 130 yards² for the given triangles.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

Area of a triangle = (1/2) × height × base

a) Given

h = 6 inches; b = 10 inches

Area = 6 × 10/2 = 30 inches².

b) Given

h = 9 centimeters; b = 4 centimeters

Area = 9 × 4/2 = 18 inches².

c) Given

h = 13 yards; b = 20 yards

Area = 13 × 20/2 = 130 yards².

Hence the area of triangles is a. 30 inches²,   b.18 inches², and c. 130 yards² .

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Answer:

\(\tt i.\:\: P(both\: same\: color) =\frac{31}{105}\\ \tt ii.\:\: P(one\: white) = \frac{44}{105}\\ \tt iii. \:\:P(both\: different\: color) =\frac{44}{105}\)

Step-by-step explanation:

Note:Without Replacement:

Total no of balls=4+5+6=15 balls

i. Probability that both balls are of the same color:

First, let's calculate the probability of selecting 2 white balls:

\(\tt P(2 \:white \:balls) = \frac{4}{15}* \frac{3}{14}= \frac{12}{210}\)

Next, let's calculate the probability of selecting 2 red balls:

\(\tt P(2\: red \:balls) = \frac{5}{15}* \frac{4}{14} = \frac{20}{210}\)

Finally, let's calculate the probability of selecting 2 black balls:

\(\tt P(2 \:black\: balls) = \frac{6}{15}* \frac{5}{14}= \frac{30}{210}\)

In order to find the probability that both balls are of the same color, we add up the probabilities for each color:

\(\tt P(both \:color) = P(2\: white \:balls) + P(2 \:red \:balls) + P(2 \:black\: balls)\\ = \frac{12}{210} + \frac{20}{210} + \frac{30}{210}\\ = \frac{62}{210}\\ =\frac{31}{105}\)

Therefore, the Probability that both balls are of the same color:\(\bold{\frac{31}{105}}\)

ii. Probability that one ball is white:

First, let's calculate the probability of selecting 1 white ball and 1 non-white ball:

\(\tt P(1 white\: ball) = \frac{4}{15} * \frac{11}{14}= \frac{44}{210}\)

Next, let's calculate the probability of selecting 1 non-white ball and 1 white ball:

\(\tt P(1\: non\: white\: ball) = \frac{11}{15}*\frac{4}{14} = \frac{44}{210}\)

In order to find the probability that one ball is white, we add up the probabilities for each case:

\(\tt P(one\: white) = P(1\: white \:ball) + P(1\: non-white\: ball)\\ =\frac{44}{210}+\frac{44}{210}\\ = \frac{44}{105}\)

iii. Probability that both balls are of different color:

First, let's calculate the probability of selecting 1 white ball and 1 non-white ball:

\(\tt P(1\: white\: ball \: and \:\:1\:non\:white\:ball) = \frac{4}{15} * \frac{11}{14}= \frac{44}{210}\)

Next, let's calculate the probability of selecting 1 non-white ball and 1 white ball:

P(1 non-white and 1 white) = (11/15) * (4/14) = 44/210

\(\tt P(1\: non\: white\: ball\:and\:1\:white\:ball) = \frac{11}{15}*\frac{4}{14} = \frac{44}{210}\)

In order to find the probability that both balls are of different color, we add up the probabilities for each case:

\(\tt P(both\:different\:color) = P(1\: white \:and\: 1\: non-white\: ball ) + P(1\: non-white\: and\:1\: white \:ball)\\ =\frac{44}{210}+\frac{44}{210}\\ = \frac{44}{105}\)

Therefore, the probabilities are:

\(\tt i.\:\: P(both\: same\: color) =\frac{31}{105}\\ \tt ii.\:\: P(one\: white) = \frac{44}{105}\\ \tt iii. \:\:P(both\: different\: color) =\frac{44}{105}\)

Answer:

a) (x + 8) (x + 2)

b) (x + 4) (x + 3)

c) (x + 12) (x + 1)

Step-by-step explanation:

First find the multiples of coefficients of a and c (ax² + bx + c)

Then rearrange it to make it add/subtract to make the number in the middle (b in bx).

a). Look at the multiples of 16.

4 x 4 .... 4 + 4 ≠ 10

8 x 2 .... 8 + 2 = 10

1 x 16 .... 1 + 16 ≠ 10

The factors of 16 that add up to 10 are 8 and 2.

Hence we write it like (x + 8) (x + 2), and to check this you can expand it.

Same goes for b and c

b). Multiples of 12 that add up to 7 are 3 x 4 ===> (x + 3) (x + 4)

c). Multiples of 12 that add up to 13 are 1 x 12 ===> (x + 12) (x + 1)

Answer:

0.2588

Step-by-step explanation:

simple answer,

Answer:

0.258819045102520762348898837624048328349...

Step-by-step explanation:

See also attachment

\( (\sqrt{3} - 1) \div 2 \sqrt{2} \)

To approximate the integral ∫2.4 to 2 f(x) dx using Simpson's rule, we divide the interval [2, 2.4] into subintervals and approximate the integral within each subinterval using quadratic polynomials.

Given the data points (x, f(x)) = (2, 0.6931), (2.2, 0.7885), and (2.4, 0.8755), we can use Simpson's rule to approximate the integral.

Step 1: Determine the step size, h.

Since we have three data points, we can divide the interval [2, 2.4] into two subintervals, giving us a step size of h = (2.4 - 2) / 2 = 0.2.

Step 2: Calculate the approximations within each subinterval.

Using Simpson's rule, the integral within each subinterval is given by:

∫f(x)dx ≈ (h/3) * [f(x₀) + 4f(x₁) + f(x₂)]

where x₀, x₁, and x₂ are the data points within each subinterval.

For the first subinterval [2, 2.2]:

∫f(x)dx ≈ (0.2/3) * [f(2) + 4f(2.1) + f(2.2)]

≈ (0.2/3) * [0.6931 + 4(0.7885) + 0.8755]

For the second subinterval [2.2, 2.4]:

∫f(x)dx ≈ (0.2/3) * [f(2.2) + 4f(2.3) + f(2.4)]

≈ (0.2/3) * [0.7885 + 4(0.4545) + 0.8755]

Step 3: Sum up the approximations.

To obtain the approximation of the total integral, we sum up the approximations within each subinterval.

Approximation ≈ (∫f(x)dx in subinterval 1) + (∫f(x)dx in subinterval 2)

Calculating the values, we get the final approximation of the integral ∫2.4 to 2 f(x) dx using Simpson's rule.

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Answer:

{x=2,y=2

Step-by-step explanation:

Equation 1:

Multiply both sides of the equation by a coefficient

{ 4(2x-y)=2*4

-5x+4y=-2

Apply Multiplicative Distribution Law

{8x-4y=2*4,-5x+4y=-2

8x-4y+(-5x+4y)=8+(-2)

Remove parentheses

8x-4y-5x+4y=8-2

Cancel one variable

8x-5x=8-2

Combine like terms

3x=8-2

Calculate the sum or difference

3x=6

Divide both sides of the equation by the coefficient of the variable

x=6/3

Calculate the product or quotient

x=2

Equation two:

{-5+4y=-2, x=2

-5*2+4y=-2

Calculate the product or quotient

-10+4y =-2

Reduce the greatest common factor (GCF) on both sides of the equation

-5+2y=-1

Rearrange unknown terms to the left side of the equation

2y=-1+5

Calculate the sum or difference

2y=4

Divide both sides of the equation by the coefficient of the variable

y=4/2

y=2

Hope this helps!!

Answer:

7.5

Step-by-step explanation:

5 divided by 2 is 2.5 so just add 5 and 2.5 you get 7.5 , converted into money that is 7 dollars and 5 cents

Answer:

A) x = 4 should be your answer for the question

Step-by-step explanation:

I just used desmos

I would say It's probably not A and B so I would recommend C

Answer:

84+(x+9)=180

Step-by-step explanation:

84º+(x+9)º = 180º, so x+93 = 180, so x=87. Hope this helps!

Answer:

0 = -3x -10y -80

Step-by-step explanation:

Standard form means all numbers are whole numbers, so to get -3/10 to be whole, simply have everything on one side and multiply each term by 10:

y = -3/10x - 8

0 = -3/10x - y - 8

0 = -3x -10y -80

The correct answer is d. standard error.the standard deviation of a sampling distribution of sample means is referred to as the standard error.

The standard deviation of a sampling distribution of sample means is commonly referred to as the standard error. It represents the variability or dispersion of the sample means around the population mean. The standard error quantifies the precision of the sample mean as an estimate of the population mean.

The sampling distribution of sample means is a theoretical distribution that shows the distribution of sample means obtained from multiple random samples of the same size taken from a population. It is an essential concept in inferential statistics, particularly when estimating population parameters.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size. Mathematically, it is represented as:

Standard Error = (Population Standard Deviation) / √(Sample Size)

The standard error measures the average amount of deviation or error between the sample means and the population mean. A smaller standard error indicates less variability and greater precision in estimating the population mean. On the other hand, a larger standard error implies more variability and less precision.

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Answer:Let x be the price the trader paid for the toaster.

If he sold it for $10,000 and lost 15% of the original price, then he received 85% of the original price:

0.85x = $10,000

If we divide both sides by 0.85, we get:

x = $11,764.71

Therefore, the trader paid $11,764.71 for the toaster.

Step-by-step explanation: