What is the largest factor that all even numbers have in common?

The z statistic that is associated with the class's average is 1.25.

In the given question the population of all standardized ex scores has a mean of 500 and a standard deviation of 100 . Twenty-five students in a professor's class take the ex , and their average score is 525.

We have to find z statistic that is associated with the class's average.

n = 25

μ = 500

σ = 100

\(\bar X\) = 525

Then ,

z statistic = \(\frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt n} }\)

putting the value in the formula:

z statistic = (525-500)/(100/\sqrt 25)

z statistic = (25)/(100/5)

z statistic = (25)/(20)

z statistic = 1.25

Therefore,

The z statistic that is associated with the class's average is 1.25.

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Fiber optic  type of cable is uses a two-number designator consisting of core and cladding measurements.

What does fiber optics serve?

What methods are used to deploy fiber optics?

Can fiber optics compete with the internet?

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When comparing variables x and y that are in the list '(AB), the comparison function we use is EQ.

Here's an explanation:

In Lisp, the EQ operator compares whether the two arguments are the same memory location.

EQV, on the other hand, checks whether the two values being compared are equivalent to each other.

For example, EQV will return true for two identical strings, while EQ will not.

The comparison function that should be used to compare variables x and y, which are both in the list '(AB), is EQ.

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The equation that you provided is - x - 6 = -26

To solve it, we need to isolate x, so we add 6 to both sides and we get

Now, we have to isolate x by doing the reciprocal of  which is  

So we multiply both sides by  to cancel it out and we are left with

x =  which is

x = 15

Answer:

300km south

Step-by-step explanation:

Go up once from original position then down four times

Answer:

6x + 15.

Step-by-step explanation:

3(3x + 5)

= 3 * 2x + 3*5

= 6x + 15.

Hey There!! ~

The answer to this is: Apply the distributive property.

\(3 (2x) + 3 . 5\)

Multiply. 2 by 3 \(6x + 3 . 5\) Multiply  

Multiply 3  by 5.

\(6 x + 15\) Thus, for the answer is: 6x + 15.

Hope It Helped!~

\(ItsNobody\)~

( A )-  We use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.

( B-) There are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.

(C-) n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.

(a) The number of integers in the set 1, 2,..., 120 that are divisible by at least one of 2, 3, 5, and 7 can be found using the principle of inclusion-exclusion. We first find the number of integers that are divisible by each individual prime factor:

Number of integers divisible by 2: 60

Number of integers divisible by 3: 40

Number of integers divisible by 5: 24

Number of integers divisible by 7: 17

Next, we find the number of integers that are divisible by each pair of prime factors:

Number of integers divisible by 2 and 3: 20

Number of integers divisible by 2 and 5: 12

Number of integers divisible by 2 and 7: 8

Number of integers divisible by 3 and 5: 8

Number of integers divisible by 3 and 7: 5

Number of integers divisible by 5 and 7: 3

We continue in this way to find the number of integers that are divisible by three prime factors, four prime factors, and so on. Finally, we use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.

(b) To find the number of primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7, we need to exclude all composite numbers. We can do this by subtracting the number of integers that are divisible by two or more of 2, 3, 5, and 7 from the total number of integers found in part (a):

Number of integers divisible by 2 and 3: 20

Number of integers divisible by 2 and 5: 12

Number of integers divisible by 2 and 7: 8

Number of integers divisible by 3 and 5: 8

Number of integers divisible by 3 and 7: 5

Number of integers divisible by 5 and 7: 3

Number of integers divisible by 2, 3, and 5: 4

Number of integers divisible by 2, 3, and 7: 2

Number of integers divisible by 2, 5, and 7: 2

Number of integers divisible by 3, 5, and 7: 1

Therefore, there are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.

(c) Of the integers in 1, 2,..., 120 that were not counted in part (a), the only one that is not prime is 1. To see why all of the others are primes, consider any composite number n that is not divisible by 2, 3, 5, or 7. By the fundamental theorem of arithmetic, n can be written as a product of primes, none of which are 2, 3, 5, or 7. But since n is composite, it must have at least one prime factor other than 2, 3, 5, or 7. Therefore, n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.

(d) Using the results from parts (b) and (c), we can find the total number

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Answer:

There are 5 vowels in the English alphabet: A, E, I, O, and U. Since repetition is allowed, each letter can be any one of the 5 vowels.

The probability of the first letter being a vowel is 5/26, since there are 5 vowels out of 26 letters in total. The probability of the second letter being a vowel is also 5/26, and so on for the third and fourth letters.

Since the events of each letter being a vowel are independent, we can use the multiplication rule to find the probability of all four letters being vowels:

P(all 4 vowels) = (5/26) x (5/26) x (5/26) x (5/26) = (5/26)^4

Using a calculator, we get:

P(all 4 vowels) ≈ 0.0023

To express the answer as a percent, we multiply by 100:

P(all 4 vowels) ≈ 0.23%

Therefore, the probability that all 4 letters typed will be vowels, with repetition allowed, is approximately 0.23%.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

15=-x+10

x-10=-15

x=-15+10

x=-5

The value of x in the function 4x+6=8x-22 is 7.

The slope is equal to -10.

The slope-intercept form of the function 4x+5y=24 is y = -4x/5 + 24/5.

The value of f(-5) is equal to -36.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given points into the slope formula, we have the following;

Slope, m = (-12 - 8)/(-4 + 6)

Slope, m = -20/2

Slope, m = -10.

4x+6=8x-22

8x - 4x = 22 + 6

4x = 28

x = 7.

4x + 5y = 24

5y = -4x + 24

y = -4x/5 + 24/5

For f(-5), we have:

f(x)=7x-1

f(-5)=7(-5)-1

f(-5) = -36.

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With the help of combinations we can say that 420 different outfits are possible.

Selections and combinations are synonyms.

Combinations represent the choosing of items from a predetermined group of items.

We're not trying to arrange anything here. We're going to pick them. We use the symbol n C r to represent the number of distinct r-selections or combinations among a set of n objects.

Compared to arrangements or permutations, combinations are different. Learn more about the formula for combinations, the distinctions between combinations and permutations, and how to calculate combinations.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged.

The number n C r is the number of combinations of n different objects taken r at a time.

According to our question-

A businessman's outfit consists of a =

a pair of pants, a shirt, and a tie.

6*10*7

=420

Hence,  420 different outfits are possible.

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Answer:

x=11

Step-by-step explanation:

6x-6+6x+4+50=180

12x+48=180

12x=132

x=11

Here is the completed table

Distance in miles  Frequency

1 to 5                          5

6 to 10                        1

11 to 15                        2

16 to 20                       2

The frequency of a dataset is the number of times a value appears in the dataset. The data are divided into classes.

In order to determine the frequency of the class 1 to 5, count the number of times values between 1 to 5 appear in the dataset. The values between 1 and 5 that are in the dataset are 2, 3, 5, 5, 5. This means that numbers between 1 and 5 appear 5 times in the dataset.

In order to determine if the frequencies are correct, add the frequency of each class together. Then count the total number in the dataset. These values should be equal. The dataset contains 10 values and the sum of the frequencies is 10.

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Answer:

1/root(3)

Step-by-step explanation:

the steps are in the pic above.

The value of tan pi/6 is 0.5773502.

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

Given that, what is the exact value of tan pi/6,

To find the value of tan π/6 using the unit circle:

Rotate ‘r’ anticlockwise to form pi/6 angle with the positive x-axis.

The tan of pi/6 equals the y-coordinate(0.5) divided by the x-coordinate(0.866) of the point of intersection (0.866, 0.5) of unit circle and r.

Hence, the value of tan pi/6 = y/x = 0.5774 (approx)

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Answer:

four billion two hundred fifty-eight million one hundred forty-five thousand three hundred ninety-seven

Step-by-step explanation:

Answer:

Word form-

four billion, two hundred fifty-eight million, one hundred forty-five thousand, three hundred ninety-seven.

Step-by-step explanation:

to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

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The probability that the mean of 12 randomly selected scores is less than 161 is approximately `0.3815` or `38.15%`.

Given that the recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9.

We are to find the probability that the mean of 12 randomly selected scores is less than 161.

Using the formula for the sampling distribution of the sample mean, we have;`

z = (x - μ) / (σ / √n)`

Where;

x = 161

μ = 162.4

σ = 15.9n = 12.

Substituting these values into the above equation, we get:`

z = (161 - 162.4) / (15.9 / √12)`

Simplifying;`

z = -1.4 / (15.9 / 3.464)`

`z = -1.4 / 4.5978`

z = -0.305

The area to the left of the z-value is given by

P(Z < -0.305)`.Using the standard normal table, we find that `P(Z < -0.305) = 0.3815`.

Therefore, the probability that the mean of 12 randomly selected scores is less than 161 is approximately `0.3815` or `38.15%`.

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Answer:

D

Step-by-step explanation:

7 3 5 2

x     4 8

-----------

352,896

Hey There!!~

Because, First thing to do is mulpity 2 x 8 = 16 so, You bring the 6 and bring up the 1. Then, 5 x 8 = 40 + 1 = 41. So, we bring down the 1 and bring up the 4. Then, 3 x 8 = 24 + 4 = 28. Then, The same thing bring down the 8 and let the 2 stay up there. 7 x 8 = 56 + 2 = 58. So, Right now the answer is 58, 816. So, We just completed the first step, But we're are not done yet... 4 x 2 = 8. Then, 5 x 4 = 20. So, we bring down the 0 and bring up the 2. Then, 4 x 3 = 12 + 2 = 14. So, The 4 stay down and 1 goes up. Then, 7 x 4 = 28 + 1 = 29. So, we just completed the second step. The last step is to add 58, 816 + 29, 408 = 352, 896. Hope This helps!!

Answer:

3⃣(1⃣2⃣5⃣-6⃣4⃣)

Answer: Square and rectangle

Step-by-step explanation:

Sabrina will not be able to sue the business for negligence because of the concept of assumption of risk.

The correct answer is d. Assumption of risk. When participating in activities such as bungee jumping, individuals are often required to sign a waiver that acknowledges the inherent risks involved in the activity. By signing the waiver, Sabrina would have agreed to assume the risks associated with bungee jumping, including the possibility of injury. This concept of assumption of risk means that Sabrina voluntarily participated in the activity, understanding and accepting the potential dangers. Therefore, if she breaks her leg during the jump, she cannot sue the business for negligence because she willingly assumed the risks involved.

The waiver serves as a legal document that protects the business from liability claims in cases where participants suffer injuries or accidents while engaging in inherently risky activities. By signing the waiver, Sabrina acknowledged that she understood the potential risks and agreed to release the business from any liability resulting from her participation. This legal principle is based on the idea that individuals should take personal responsibility for their decisions to engage in risky activities and should not hold others liable for the inherent dangers that they voluntarily chose to expose themselves to. Consequently, Sabrina's signed waiver would likely prevent her from successfully suing the business for negligence if she were to break her leg during the bungee jump.

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F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

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Answer:

\(\frac{3}{14}\)  

I hope this helps!

Casey has 20 possible ways to pick the plants for the two pots.

Casey can choose one plant from the 5 available plants to put in the blue flower pot.

After selecting one plant for the blue pot, she will have 4 remaining plants to choose from for the red pot.

Therefore, the total number of possible ways she can pick plants for the two pots is:

Number of ways = Number of choices for the blue pot × Number of choices for the red pot

= 5× 4

= 20

Hence, Casey has 20 possible ways to pick the plants for the two pots.

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Answer:

407.720083 cm³

Step-by-step explanation:

Volume of a sphere:

V = (\(\frac{4}{3}\))πr³

= \(\frac{4}{3}\) x π x (4.6)³

= 407.720083 cm³

Answer:

\(volume = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.146 \times {(4.6)}^{3} \\ = 408.3 \: {m}^{3} \)

The rate of change of the area of the circle at the instant when the radius is 10 ft is -80π square feet per minute.

The problem requires us to determine the rate of change of the area of a circle when its radius starts to decrease from 50 ft to 10 ft at a rate of 4 ft/min. We know that the formula for the area of a circle is A = πr².

Given that the initial radius, r = 50 ft and the rate of decrease of radius, dr/dt = -4 ft/min, we are to find the rate of change of area when r = 10 ft.

To do this, we will take the derivative of the area formula with respect to time (t). So, dA/dt = d/dt (πr²). We can substitute the values we have into the formula to get the rate of change of the area of the circle at the instant when the radius is 10 ft.

dA/dt = 2πr (dr/dt)

dA/dt = 2π (10) (-4) square feet per minute

dA/dt = -80π square feet per minute

Therefore, the rate of change of the area of the circle at the instant when the radius is 10 ft is -80π square feet per minute.

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Answer:

x = 11

Step-by-step explanation:

\(x + \frac{10}{5} + 7 = 20\\x + 2 + 7 = 20\\x+9=20\\x=11\)

Espero que estaba fuera de ayuda! #Difundir El Amor <3