The whole number 330 is divisible by 2, 3, 5, 6, 10, and 11.


TrueFalse

Answer:

3 1/5 i think srry if im wrong

Step-by-step explanation:

The sample distribution is a collection of the parameters of all possible samples of a particular size taken from a particular population. The correct answer is option E.

A sampling distribution refers to a probability distribution of a statistic which comes from selecting random samples of a given population. Also known as a finite-sample distribution, it represents the distribution of frequencies on how spread apart various outcomes will be for a specific population.

As sample sizes increase, the sampling distributions approach a normal distribution. With infinite numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ). The mean of the sampling distribution of a sample proportion is np, the sample size times the probability of success for each trial (or observation).

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The "n" in the formula for calculating degrees of freedom for a correlation coefficient represents the sample size. The correct option is a.

Explanation: In statistics, the correlation coefficient measures the strength and direction of the linear relationship between two variables. When calculating the degrees of freedom for a correlation coefficient, the "n" represents the sample size. Degrees of freedom (df) refers to the number of independent observations in a statistical analysis. It represents the number of values that are free to vary after certain restrictions or conditions have been imposed.

In the context of correlation, the formula for degrees of freedom is given by (n - 2), where "n" is the sample size. The subtraction of 2 is because the calculation of the correlation coefficient involves estimating the parameters of the line that best fits the data, which requires two degrees of freedom. Subtracting 2 ensures that the degrees of freedom accurately reflect the number of independent observations available for analysis.

Therefore, the correct answer is (a) sample size. The larger the sample size, the greater the degrees of freedom, which generally improves the reliability and precision of the correlation coefficient estimate.

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In the given scenario, where there is one infinitely long track and overtaking is impossible, the initial situation consists of three equally spaced trains, each moving at a different speed. The trains have the capability to link up when one catches up to the other, resulting in a single train moving at the speed of the slower train.

As the trains move, they will eventually reach a configuration where the fastest train catches up to the middle train. At this point, the fastest train will link up with the middle train, forming a single train moving at the speed of the middle train. The remaining train, which was initially the slowest, continues to move independently at its original speed. Over time, the process continues as the new single train formed by the fastest and middle trains catches up to the remaining train. Once again, they link up, forming a single train moving at the speed of the remaining train. This process repeats until all the trains eventually merge into a single train moving at the speed of the initially slowest train. In summary, on this strange railway line, where trains can only link up and cannot overtake, the initial configuration of three equally spaced trains results in a sequence of mergers where the trains progressively combine to form a single train moving at the speed of the initially slowest train.

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Answer:

(2, -10)

Explanation:

Reflection over the x-axis puts a negative sign on the x value.

Answer:

-2,10

Step-by-step explanation: i took the test and when doing this you only change the y  but keep the x.

Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer: could possibly be the fifth one and could also be the third

Step-by-step explanation: I’m not positive though

The probability that both the first and second student studied = p²

To find the probability that both the first and second students studied when two different students are randomly selected, we can use the multiplication rule of probability.

The multiplication rule of probability states that if the probability of event A is p(A), and the probability of event B, given that event A has occurred, is p(B|A), then the probability of the joint occurrence of A and B is given by p(A and B) = p(A) × p(B|A).

So, if we let A be the event that the first student studied, and B be the event that the second student studied, then we need to find the probability of the joint occurrence of A and B.

We can assume that the probability that any student studied is equal to some value p, and the probability that any student didn't study is equal to q = 1 - p. Since there are only two possibilities for each student (studied or not studied), then p + q = 1. So, we can use the complement rule of probability to write:

p(A) = probability that the first student studied = p, and

p(not A) = probability that the first student didn't study = q = 1 - p,

p(B|A) = probability that the second student studied, given that the first student studied = p, and

p(B|not A) = probability that the second student studied, given that the first student didn't study = p.To find the probability that both the first and second student studied, we need to find the probability of the joint occurrence of A and B. Using the multiplication rule, we get:

p(A and B) = p(A) × p(B|A) = p × p = p².

Which is the probability that both the first and second students studied.

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Answer:

90-26=64

64 is the value of x

Step-by-step explanation:

In each row, the 15 number of the student is arranged. For the given condition, the equal number of the student is to be arranged.

A seating arrangement is an arrangement shows that how the peoples are arranged so that the complete utilization is done.

The given data in the problem is;

The total no of student is 345 students

If the same number of the students are to be arranged for the given row, the following calculation is done;

The numbers of the student in each row is found as;

\(\rm n= \frac{Total \ no \ of \ student\ }{Total\ no \of \ rows } \\\\\ n= \frac{345}{23} \\\\ n= 15 \ student\)

Hence, in each row, the 15 no of the student is arranged.

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Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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9514 1404 393

Answer:

  18

Step-by-step explanation:

Solve the first for a, then substitute into the second.

  a = 27/(5b^2)

Then ...

  (27/(5b^2))^2·b = 135

  27^2/(5^2·135) = b^3 = 27/125

  b = ∛(27/125) = 3/5

  a = 27/(5(3/5)^2) = 15

__

The expression of interest is ...

  a +5b = 15 + 5(3/5) = 15 +3

  a +5b = 18

Answer:

790

Step-by-step explanation: i just got it from someone else

The velocity of the SpaceX Dragon at touchdown is 198 m/s, it takes 99 seconds to stop completely, it travels 9,801 meters before stopping, and the deceleration 8 seconds after touchdown is -16 m/s².

To find the velocity (v) of the shuttle at touchdown (t = 0), take the derivative of s(t) = 198t - t², which is v(t) = 198 - 2t. At t = 0, v(0) = 198 m/s.

To find the time required for the shuttle to stop completely, set v(t) = 0: 0 = 198 - 2t. Solve for t: t = 99 seconds.

To find the distance traveled from touchdown to a complete stop, integrate v(t) from 0 to 99: ∫(198 - 2t)dt = 198t - t² evaluated from 0 to 99, resulting in 9,801 meters.

To find the deceleration 8 seconds after touchdown, take the derivative of v(t) to find acceleration (a): a(t) = -2. At t = 8, a(8) = -16 m/s².

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Answer:

see explanation

Step-by-step explanation:

1

1 + \(\frac{x-5}{2}\) - \(\frac{x+3}{5}\) ≤ 0

multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10 + 5(x - 5) - 2(x + 3) ≤ 0 ← distribute parenthesis on left side and simplify

10 + 5x - 25 - 2x - 6 ≤ 0

3x - 21 ≤ 0 ( add 21 to both sides )

3x ≤ 21 ( divide both sides by 3 )

x ≤ 7

2

\(\frac{6x}{5}\) - \(\frac{2}{3}\) ≥ 4

multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

18x - 10 ≥ 60 ( add 10 to both sides )

18x ≥ 70 ( divide both sides by 18 )

x ≥ \(\frac{70}{18}\) , that is

x ≥ \(\frac{35}{9}\)

3

\(\frac{x}{10}\) - \(\frac{2}{8}\) ≥ 1

multiply through by 40 ( the LCM of 10 and 8 ) to clear the fractions

4x - 10 ≥ 40 ( add 10 to both sides )

4x ≥ 50 ( divide both sides by 4 )

x ≥ \(\frac{50}{4}\) , that is

x ≥ \(\frac{25}{2}\)

Answer:

\(\textsf{1.} \quad x \leq 7\)

\(\textsf{2.} \quad x \geq \dfrac{35}{9}\)

\(\textsf{3.} \quad x \geq \dfrac{25}{2}\)

Step-by-step explanation:

Given inequality:

\(1+\dfrac{x-5}{2}-\dfrac{x+3}{5} \leq 0\)

\(\textsf{Add \; $\dfrac{x+3}{5}$ \; to both sides}:\)

\(\implies 1+\dfrac{x-5}{2}-\dfrac{x+3}{5} +\dfrac{x+3}{5}\leq 0+\dfrac{x+3}{5}\)

\(\implies 1+\dfrac{x-5}{2}\leq \dfrac{x+3}{5}\)

\(\textsf{Rewrite $1$ as $\dfrac{2}{2}$}:\)

\(\implies \dfrac{2}{2}+\dfrac{x-5}{2}\leq \dfrac{x+3}{5}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:\)

\(\implies \dfrac{2+x-5}{2}\leq \dfrac{x+3}{5}\)

\(\implies \dfrac{x-3}{2}\leq \dfrac{x+3}{5}\)

Cross multiply:

\(\implies 5(x-3)\leq 2(x+3)\)

\(\implies 5x-15\leq 2x+6\)

Subtract 2x from both sides:

\(\implies 5x-15-2x\leq 2x+6-2x\)

\(\implies 3x-15\leq 6\)

Add 15 to both sides:

\(\implies 3x-15+15\leq 6+15\)

\(\implies 3x\leq 21\)

Divide both sides by 3:

\(\implies \dfrac{3x}{3}\leq \dfrac{21}{3}\)

\(\implies x \leq 7\)

---------------------------------------------------------------------------------------

Given inequality:

\(\dfrac{6x}{5}-\dfrac{2}{3} \geq 4\)

\(\textsf{Add \; $\dfrac{2}{3}$ \; to both sides}:\)

\(\implies \dfrac{6x}{5}-\dfrac{2}{3} +\dfrac{2}{3}\geq 4+\dfrac{2}{3}\)

\(\implies \dfrac{6x}{5}\geq \dfrac{12}{3}+\dfrac{2}{3}\)

\(\implies \dfrac{6x}{5}\geq \dfrac{12+2}{3}\)

\(\implies \dfrac{6x}{5}\geq \dfrac{14}{3}\)

Cross multiply:

\(\implies 3(6x) \geq 14(5)\)

\(\implies 18x \geq 70\)

Divide both sides by 18:

\(\implies \dfrac{18x}{18} \geq \dfrac{70}{18}\)

\(\implies x \geq \dfrac{70}{18}\)

Reduce the fraction by dividing the numerator and the denominator by 2:

\(\implies x \geq \dfrac{70 \div 2}{18 \div 2}\)

\(\implies x \geq \dfrac{35}{9}\)

---------------------------------------------------------------------------------------

Given inequality:

\(\dfrac{x}{10}-\dfrac{2}{8} \geq 1\)

\(\textsf{Add \; $\dfrac{2}{8}$ \; to both sides}:\)

\(\implies \dfrac{x}{10}-\dfrac{2}{8} +\dfrac{2}{8}\geq 1+\dfrac{2}{8}\)

\(\implies \dfrac{x}{10}\geq \dfrac{8}{8}+\dfrac{2}{8}\)

\(\implies \dfrac{x}{10}\geq \dfrac{8+2}{8}\)

\(\implies \dfrac{x}{10}\geq \dfrac{10}{8}\)

Cross multiply:

\(\implies 8(x) \geq 10(10)\)

\(\implies 8x \geq 100\)

Divide both sides by 8:

\(\implies \dfrac{8x}{8} \geq \dfrac{100}{8}\)

\(\implies x \geq \dfrac{100}{8}\)

Reduce the fraction by dividing the numerator and the denominator by 4:

\(\implies x \geq \dfrac{100 \div 4}{8 \div 4}\)

\(\implies x \geq \dfrac{25}{2}\)

Answer:

x = 9

DE = 13

EF = 36

DF = 28

Step-by-step explanation:

DF = EF

7x - 35 = 4x - 8

3x = 27

x = 9

DE = x + 4 = 9 + 4 = 13

EF = 4x - 8 = 4(9) - 8 = 36

DF = 7x - 35 = 7(9) - 35 = 28

Answer:

Ok.

Step-by-step explanation:

What is your question?

Answer: YESS

Step-by-step explanation:

I love hide and seek

Answer:

Answer: 21

Step-by-step explanation:

If cost is the same

\({ \rm{C_{r} =C _{b} }} \\ \\ { \rm{175 + 12(n - 10) = 125 + 14(n - 8)}} \\ \\ { \rm{50 + 12n - 120 = 14n - 112}} \\ \\ { \rm{n = 21}}\)

Answer:

Not sure wha the options are, but is it "When a figure is translated, its orientation changes and the measure of its angles stays the same"

there isnt the word bank because you did not take a photo with the dropdown menu

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

To determine the optimal production quantity of tables and the maximum profit, we can set up a linear programming problem based on the given information.

Let's define the decision variables:

Let C represent the number of chairs produced.

Let T represent the number of tables produced.

Objective function:

The objective is to maximize profit. The profit for each chair is $150, and the profit for each table is $750. Therefore, the objective function can be expressed as:

Profit = 150C + 750T

Constraints:

Labor constraint: The total labor hours available is 240, and each chair requires 5 hours, while each table requires 3 hours. So the labor constraint can be represented as:

5C + 3T ≤ 240

Material constraint: The warehouse has 700 linear feet of rich mahogany available, and each chair requires 4 linear feet, while each table requires 20 linear feet. Therefore, the material constraint can be expressed as:

4C + 20T ≤ 700

Non-negativity constraint: Since we cannot produce a negative quantity of chairs or tables, both C and T should be greater than or equal to zero:

C ≥ 0

T ≥ 0

Now, we can solve the linear programming problem to find the optimal solution:

Maximize: Profit = 150C + 750T

Subject to:

5C + 3T ≤ 240 (Labor constraint)

4C + 20T ≤ 700 (Material constraint)

C ≥ 0

T ≥ 0

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Answer:

1.29

Step-by-step explanation:

-12x3=-36

14x2=28

-36/28=-1.29

I-1.29I

Answer:

0.428571428571

Step-by-step explanation:

|-36/84|

|-0.428571428571|

0.428571428571

From the given right angle triangle ,

the value of x  is 60.6°

Given :

A diagram of a triangle with side length RQ is 27  and QS is 55

We need to find out angle x

Given triangle is a right angle triangle . So we use trigonometric ratios to find out the angle x

For angle x, we are given with hypotenuse QS=55 and adjacent side RQ= 27

We use trigonometric ratio cos

\(cos(Q)= \frac{adjacent}{hypotenuse } \\cos(x)=\frac{27}{55}\\\\x=\arccos \left(\frac{27}{55}\right)\)

Now use the calculator and find out x

x=60.6°

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The probability that a mother is a carrier is approximately 0.018.

The Hardy-Weinberg equilibrium formula can be used to determine the frequency of alleles in a population, as well as to make predictions about the probability of certain traits occurring in the next generation. In this case, we are interested in determining the probability that a mother is a carrier of a particular disease, given that the frequency of the disease is 1/4300.

To use the Hardy-Weinberg formula, we need to know the frequency of both the dominant and recessive alleles in the population. Assuming that the disease allele is recessive (i.e., carriers are heterozygous), we can represent the frequency of the disease allele (q) as

\(q = \sqrt{(1/4300)} = 0.004644.\)

To determine the frequency of carriers (heterozygotes), we can use the formula p * q * 2,

where p represents the frequency of the dominant allele (which is equal to 1 - q in this case).

Therefore:

\(p = 1 - q \\ = 1 - 0.004644 = 0.995356\\q = \sqrt{(1/4300} = 0.004644\\p * q * 2 =0.018\)

Approximately 1.8% of the population will be carriers of the disease allele. This means that the probability that a mother is a carrier is approximately 0.018.

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Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

It will take approximately 6.2 years for the account to grow to $14500 when $9000 is invested at 8% interest compounded annually.

The compound interest formula is expressed as:

\(A = P( 1 + \frac{r}{t})^{nt}\)

\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\)

Where A is accrued amount, P is the principal, r is the interest rate and t is time.

Given that:

Principal P = $9,000, compounded annually n = 1, interest rate r = 8%, Accrued amount A = $14500.

Plug these values into the above formula and solve for time t.

\(t = \frac{In(\frac{A}{P} )}{n[In(1 + \frac{r}{n} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{1*[In(1 + \frac{0.08}{1} )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1 + 0.8 )]}\\\\t = \frac{In(\frac{14,500}{9,000} )}{[In(1.8 )]}\\\\t = 6.197 \ years\)

Therefore, the time required is 6.197 years.

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Answer:

Computer game designer.

Step-by-step explanation:

If you want to design a game, you need to have some basic shapes and stuff in it. I'm not sure what else needs to be explained here lol