Explain what distributive property is in the most simple way, that even a toddler could understand.
I'd give brainliest to the simplest answer

a) The sample mean years to maturity for corporate bonds = 16.9625

and the sample standard deviation =  8.2232

b) A 95% confidence interval for the population mean years to maturity: (14.4141, 19.5112)

c) The sample mean yield on corporate bonds is 4.5405

and the sample standard deviation = 2.3082

d) A 95% confidence interval for the population mean yield on corporate bonds:  (3.825, 5.256)

a) The mean of the sample would be,

\(\bar{x}\) = (10.25 + 28 +  23 + 13.25 + 3, 7.5 + 26.5 + 21.25 + 3.25, 19 + 9.25 + 28.75 + 1.75 + 17 + 8.75 + 24 + 24.5 + 18+ 11.75 + 22 + 22.75 + 27.75 + 16.75 + 12 + 16.5 + 23.75 + 25.25 + 25.75 + 22.5 + 1.25 + 19.5 + 12.5 + 27.25 + 19.5 + 17.75 + 11.5+ 3.5 + 20 + 25.25 + 6.75) / 40

\(\bar{x}\) = 678.5 / 40

\(\bar{x}\) = 16.9625

And  the sample standard deviation would be,

s = √(67.6203)

s =  8.2232

b)

We know that the formula for the confidence interval is,

CI = \(\bar{x}\) ± (z × s/√n)

Here, n = 40, \(\bar{x}\) = 16.9625, s = 8.2232 and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI = 16.9625 ± (1.9600 × 8.2232/√40)

CI = (16.9625 ± 2.548)

CI =  (16.9625 - 2.548,  16.9625 + 2.548)

CI = (14.4141, 19.5112)

c) Consider sample yield on corporate bonds.

The mean would be,

\(\bar{x}\) = 181.62 / 40

\(\bar{x}\) = 4.5405

And the standard deviation would be,

s = √(5.327594)

s = 2.3082

d) Now we construct a 95% confience interval.

Here, n = 40, s = 2.3082, \(\bar{x}\) = 4.4505, and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI =  4.4505 ± (1.9600 × 2.3082/√40)

CI = (4.5405 ± 0.716)

CI = (4.5405 - 0.716, 4.5405 + 0.716)

CI = (3.825, 5.256)

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Find the complete question below.

Answer:

9

Step-by-step explanation:

They all can be divided by nine.

18/9 = 2

9/9 = 1

45/9 = 5

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

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The total surface area of the triangular prism is: 111 ft²

To find the total surface area of the given triangular prism, we will find the area of all the surfaces and add it up.

Formula for the area of a rectangle is:

Area = Length * Width

Area of a triangle is:

Area = ¹/₂ * base * height

Thus:

Total Surface area = 2(¹/₂ * 3 * 7) + (7 * 5) + (8 * 5) + (3 * 5)

Total Surface area = 21 + 35 + 40 + 15

Total Surface area = 111 ft²

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P(a number greater than 5 and an even number) = 1/6 or 0.167

Part 1 of 3 (a) To find the probability of getting an even number, divide the number of favorable outcomes (rolling a 2, 4, or 6) by the total possible outcomes (rolling any number between 1 and 6). There are 3 even numbers and 6 total possible outcomes.

P(an even number) = \(3/6 = 1/2 or 0.500\)

Part 2 of 3 (b) To find the probability of getting a number less than or equal to 4, count the favorable outcomes (rolling a 1, 2, 3, or 4) and divide by the total possible outcomes (6). There are 4 favorable outcomes and 6 total possible outcomes.

P(a number less than or equal to 4) =\( 4/6 = 2/3 or 0.667\)

Part 3 of 3 (c) To find the probability of getting a number greater than 5 and an even number, count the favorable outcomes (rolling a 6) and divide by the total possible outcomes (6). There is 1 favorable outcome and 6 total possible outcomes.

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Answer:

Can you make another post showing us a picture of the Geometry book page 599? I may be able to help :-)

Answer: no

Step-by-step explanation:

the x has to be squared to form a parabola with a vertex and 2 x intercepts

Answer:

-7.667

Step-by-step explanation:

0.0029

the proabiblity that a random sample of n=40 oil changes results in a sample mean time of less than 10 minutes is

p((x-u)/(sigma/square root n))< ((10-11.4)/(3.2/square root 40))

p(z<-2.7669)

0.0029        (you can see in the file )

the complete question is

the shape of the distribution of time required to get an oil change at a 10 minutes oil change facility is unknown.however records indicate that the mean time for an oil change is 11.4 minutes and the standard deviation for oil change time is 3.2

then what is the probability that a random sample of n=40 oil change results in a sample mean time of less than 10 minutes?

therefore the probability that a random sample of n=40 oil change results in a sample mean time of less than 10 minutes is 0.0029

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Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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Answer:

Step-by-step explanation:

100ml/1l

100ml/1000ml

0.1ml

Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).

We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.

We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.

To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:

210 - 128 = 82 years.

Now, we can set up an equation to solve for the ages of the remaining two men:

x + (x + 3) = 82.

Combining like terms, we get:

2x + 3 = 82.

Subtracting 3 from both sides:

2x = 79.

Dividing both sides by 2:

x = 39.5.

So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.

Answer:

10

Step-by-step explanation:

It's the $10 that is to be added to the cost for each produced item.

Answer:

Step-by-step explanation:

is between two numbers.

is less than or equal to a number.

is greater than or equal to a number.

It is meaningful to compute the probability that a continuous random variable when it is between two numbers.

Probability is a ratio of the number of favorable outcomes to the number of possible outcomes of the experiment.

Continuous random variable is is one which takes an infinite number of possible values.  A random variable is said to be continuous if it assumes a value that falls between a particular interval.

So, from the above mentioned statement we can assume that ;

The statement given in option \((c)\) is correct .

Hence, we can say that it is meaningful to compute the probability that a continuous random variable when it is between two numbers.

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Answer:

(3, 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Keep the cross fix on the spot and rotate the rectangle from left towards right (clockwise) until the lines that connect the fix point and the other 3 points make 90° with the original lines.

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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Answer:

x=5 Brainliest would be nice :)

Step-by-step explanation:

\(801 \times {10}^{ - 14} = 8.01 \times {10}^{ - 12} \)

Done...

Good luck ♥️♥️♥️♥️♥️.

A set of outcomes from an experiment to which a probability is assigned is called "Event." Therefore, the option d is the correct answer. This term is related to probability.

Probability is a statistic that expresses the results of a specific experiment or activity. A simple experiment is to flip a coin twice. There are some terms related to probability, as below:

Examining a procedure or interviewing a chosen sample of people in order to collect data is known as a survey.

The population is the entire group of participants in research with its characteristics that will be a data source.

The sample space is the set of all possible outcomes. The sample space is indicated with letter S.

S = {H, T}.

Event is a set of outcomes from an experiment to which a probability is assigned. Any subset of the sample space (S) is called an event.

S = {H, T}.

The number of individuals or observations included in a study is referred to as the sample size. Usually, n is used to indicate this number.

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AB=AD=8CM

Step-by-step explanation:

I Go To that school

To generate a series of 100 numbers uniformly distributed in the interval [0,1] using a linear congruential generator, we can use the parameters a = 41, c = 33, m = 100, and Z0 = 48.

A linear congruential generator is a simple method for generating pseudo-random numbers. It uses a recurrence relation of the form Zₙ₊₁ = (aZₙ + c) mod m, where Zₙ is the current random number, a is a multiplier, c is an increment, and m is the modulus. In this case, we start with an initial seed value of Z0 = 48 and generate subsequent numbers using the given parameters. To compute the mean and standard deviation of the generated series, we calculate the sample mean and sample standard deviation of the 100 numbers. The sample mean is the average of the numbers, while the sample standard deviation measures the spread or dispersion of the numbers around the mean. We can then compare these computed values with the expected theoretical values for a continuous uniform distribution on the interval [0,1]. The theoretical mean of a continuous uniform distribution is (a + b) / 2, where a and b are the endpoints of the interval. In this case, the mean is (0 + 1) / 2 = 0.5. The theoretical standard deviation of a continuous uniform distribution is (b - a) / sqrt(12), which for the interval [0,1] is 1 / sqrt(12) ≈ 0.2887. Any differences between the computed and theoretical mean and standard deviation may arise due to the nature of pseudo-random number generation. Linear congruential generators are deterministic and have certain limitations in terms of randomness. Deviations from the expected theoretical values can be attributed to the algorithm used and the chosen parameters. If the generated numbers deviate significantly from the expected mean and standard deviation, it may indicate that the linear congruential generator is not adequately simulating a continuous uniform distribution.

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Answer:

126

Step-by-step explanation:

its its greater to four by 122

True. Statisticians can never be 100% sure that statistical outcomes in a sample perfectly match the actual parameters in the population.

This is because statistical inference is based on sampling, which involves drawing conclusions about a population based on a subset of data. There is always a degree of uncertainty or sampling error associated with estimating population parameters from a sample.

Statistical inference relies on making probabilistic statements and constructing confidence intervals or hypothesis tests to quantify the level of uncertainty. While statisticians strive to minimize bias and variability in their estimates, there is always a margin of error involved. Factors such as sampling variability, measurement errors, and the inherent randomness of data contribute to this uncertainty.

Therefore, statisticians acknowledge that their conclusions are based on probability and inference rather than absolute certainty. They provide measures of confidence or significance to communicate the level of uncertainty associated with their findings.

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Answer:

there equal

Step-by-step explanation:

the absolute value of 3 is 3

and the absolute value of -3 is 3

hope this helps

let me know if you need help with anymore

Have a great day!

The value of the given exponent is \(\frac{5}{2}\)

Given:

The exponent = \((\frac{4}{25})^{\frac{-1}{2}}\)

To find:

The value of a given exponent

Solution:

\((\frac{4}{25})^{\frac{-1}{2}} = ?\)

Using the identity of an exponent : \((\frac{m}{n})^{x} = \frac{m^{x}}{n^{x}}\)

\((\frac{4}{25})^{\frac{-1}{2}} = \frac{(4)^{(\frac{-1}{2})}}{(25)^{(\frac{-1}{2})}}\\\)

Using the identity of an exponent : \(a^{-x} = \frac{1}{a^x}\)

\(=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{(25)^{(\frac{1}{2})}}{(4)^{(\frac{1}{2})}}\\=\frac{((5)^2)^{(\frac{1}{2})}}{((2)^2)^{(\frac{1}{2})}}\\\)

Using the identity of an exponent: \((a^{n})^m=a^{m\times n}\)

\(=\frac{5^{(2\times \frac{1}{2})}}{2^{(2\times \frac{1}{2})}}\\=\frac{5^1}{2^1}\\=\frac{5}{2}\)

The value of the given exponent is \(\frac{5}{2}\).

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Applying the Trapezoid Midsegment Theorem, the value of x is: 2.3

Measurement of YT = 11.8

According to the Trapezoid Midsegment Theorem, if a line runs parallel to both bases of a trapezoid and intersects the midpoint of one of its legs, it will also intersect the midpoint of the other leg. Moreover, the length of this midsegment will be equal to the sum of the lengths of both bases divided by two.

According to the theorem, we have:

RY = 1/2(WH + TN)

Plug in the values:

18x - 4.1 = 1/2(10x + 2.6 + 23x - 3.9)

Solve for x:

2(18x - 4.1) = (10x + 2.6 + 23x - 3.9)

36x - 8.2 = 33x - 1.3

36x - 33x = 8.2 - 1.3

3x = 6.9

x = 2.3

YT = 1/2(WT)

YT = 1/2(8x + 5.2)

Plug in the value of x:

YT = 1/2(8(2.3) + 5.2)

YT = 11.8

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Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation: