Which of the following best describes a directed line segment?
1, A directed line segment is a line segment with a specified direction.

2, A directed line segment is a line segment with a specified direction and one endpoint labeled as the initial point.

3, A directed line segment is a line segment.

4, A directed line segment is a line segment with one endpoint labeled as the initial point.

Answer:

Step-by-step explanation:

This is a binomial probability distribution and the probability of success and value is the same for each trial.

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is

89.4/100 = 0.894

If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7

This is actually below the known probability of success. Therefore, the correct option is

Yes, as the probability of seven having the correct shape is unusual

Answer:

53

Step-by-step explanation:

9514 1404 393

Answer:

  x = 53

Step-by-step explanation:

The two angles marked are parts of a right triangle. That means their sum is 90°:

  (x -12)° +49° = 90°

  x° +37° = 90° . . . . . . simplify

  x° = 53° . . . . . . . . subtract 37°

  x = 53 . . . . . . . . divide by °

A hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level. This means that the test was not able to provide enough evidence to support the idea that the regression coefficient is significantly different from zero.

A hypothesis test is a statistical test that is used to determine whether there is enough evidence to support or reject a claim about a population based on the sample data. In a regression analysis, the regression coefficient represents the slope of the regression line that shows the relationship between the dependent variable and the independent variable(s).The null hypothesis for a regression coefficient is that the population slope is zero, which means that there is no linear relationship between the dependent variable and the independent variable(s). The alternative hypothesis is that the population slope is not zero, which means that there is a linear relationship between the dependent variable and the independent variable(s).The level of significance (α) is the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. The commonly used value for α is 0.05 (or 5%).If a hypothesis test on a regression coefficient fails to reject the null hypothesis at the 5% significance level, it means that there is not enough evidence to support the alternative hypothesis that the population slope is not zero. Therefore, it can be concluded that the regression coefficient is not significantly different from zero and there is no linear relationship between the dependent variable and the independent variable(s).

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The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).

Step-by-step explanation:

here is your answer

hope it help u

Answer:

16

Step-by-step explanation:

2(8 - 4) 2

first, you'll subtract 4 from 8 to get 4.

Next 2 X 4 X 2

Multiply 2 and 4 by doing that you'll get 8

lastly 8 X 2

Multiply 8 and 2 to get your answer 16.

Pls mark brainiest pls

Answer:

hfddghjjvvthjdiuuuuu

Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower.

Let's calculate the amount of work done by Ted in 1 minute.WORK = 1/5Let's calculate the amount of work done by Galen in 1 minute.WORK = 1/15

Let's calculate the amount of work done by both of them working together in 1 minute. WORK = 1/5 + 1/15 Simplify, LCM of 5 and 15 = 15 So, 3/15 + 1/15 = 4/15Hence, working together Ted and Galen can mow the lawn in 15/4 or 3.75 minutes or 3 minutes and 45 seconds.

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Step-by-step explanation: 3+3=6

Answer:

1. X= - 2, Y = 8

2. X= - 1 Y = 7

3. X= 0, Y = 6

4. X = 1, Y = 5

5. X = 2, Y = 4

6. X = 3, Y = 3

Answer:

area = length * width

1,500 = 50 m * width

width = 1,500 / 50

width = 30 meters

Step-by-step explanation:

The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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The theoretical probability of randomly selecting 5 students from my schools is 0.00000001237

probability = required outcome / total possible outcomes

Required outcome = 5 students from the 40. Here , we have

40C5 = 65008

Total possible outcomes = 8 students From the total contestants . Here , we have

150C8 = 5257211409450

Hence, selecting 5 students from my school :

P(5 from my school) = 65008/5257211409450

P(5 from my school ) = 0.00000001237

Hence, the theoretical probability is 0.00000001237

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Answer:

F

Step-by-step explanation:

The rise is 8 and run is 6

Answer:

The answer is J) y=-4/3x+8

Answer:

-45

Step-by-step explanation:

i hope this helps...

The triangle ADE is similar to the triangle ABC.

What are congruent triangles?

The triangles are congruent if two sides and the included angle of one triangle match the corresponding sides and angle of another triangle.

It is given that triangle ABE is congruent to triangle ACD, which can also be written as ΔABE≅ΔACD.

So, according to the Corresponding parts of Congruent triangles (CPCT) property:

AB=AC...........(1)

AE=AD...........(2)

By dividing 2 and 1 we will get:

\(\frac{AD}{AB} =\frac{AE}{AC}\)........(3)

In the triangles ADE and ABC, ∠A is the common angle and according to this and 3,

ΔADE is similar to ΔABC by side angle side criterion.

Therefore hence it is proved that ΔADE and ΔABC are similar.

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The volume of the solid is  17124 cubic units. To find the volume of the solid, we need to integrate the area of each cross-section perpendicular to the base and parallel to the diameter.

Since these cross-sections are squares. We can find their area by squaring the side length.

Let's call the side length of each square "x". We know that the diameter of the semicircle is 32 (twice the radius of 16), so the side length of each square is also 32.

Now we need to express the volume of the solid as an integral. We can do this by summing the areas of all the infinitesimal squares as we slice the solid perpendicular to the base.

The infinitesimal thickness of each slice is dx. The width of each slice is also dx, since the squares are perpendicular to the base. The height of each slice is the length of the chord of the semicircle that corresponds to the x-coordinate of the slice.

We can use the Pythagorean theorem to find this height. The chord has length 2(sqrt(16^2 - x^2)), so the height is sqrt(16^2 - x^2).

Therefore, the volume of the solid is given by the integral:

V = ∫(0 to 16) of [x^2 * (2sqrt(16^2 - x^2))] dx

Evaluating this integral, we get:

V = (2/3)(16^3)(pi) - (2/3)(16^3)

So the volume of the solid is approximately 17124 cubic units.

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Answer:

21 3/4

Step-by-step explanation:

Answer:

7.25

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

sqrt(a^7) = sqrt(a^6 * a)

The chi-square statistic of 3.86 is not statistically significant if the critical value obtained from the distribution of chi-square is 6.63 with an alpha level of .01.

To determine if the obtained chi-square statistic of 3.86 is statistically significant or not, we need to compare it to the critical value obtained from the distribution of chi-square, which is 6.63, at a significance level of 0.01.

In this case, the obtained chi-square value is less than the critical value, indicating that we fail to reject the null hypothesis. This means that the observed frequencies in the sample are not significantly different from the expected frequencies based on the null hypothesis. The alpha level of 0.01 indicates that we are willing to accept a 1% chance of making a Type I error, which is rejecting the null hypothesis when it is actually true. Since the obtained chi-square value is not greater than the critical value, we do not have sufficient evidence to reject the null hypothesis.

In summary, the results are not statistically significant at the 0.01 significance level, based on the obtained chi-square statistic of 3.86 and the critical value of 6.63. This means that there is no significant difference between the observed and expected frequencies, based on the null hypothesis.

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Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

a²-10a+24+6b-9b²​

(a-6)(a-4)+3b(2-3b) but this is incorrect

Therefore, the expression is not factorable with rational numbers

Answer:

15% of 54.80 is 8.22

Step-by-step explanation:

15% of 54.80 =8.22

54.80+ 8.22 = 62.02

Answer:

24 is the answer

Step-by-step explanation:

2a + 5 = 53

     -5      -5

      0      48

2a/2= a

48/2= 24

THEREFORE a=24

A: \(3x^2y^4\cdot2x^6y=6x^8y^5\)

B: \(xz^3\cdot4x^4z^5=4x^5z^8\)

C: \(4a^3^2\cdot 3a^6b^5=12a^{15}b^5\)

D: \(6s^{5t}\cdot s^{4t}^2=6s^{16t^2+5t}\)

There was some ambiguity you posed with such exponents but I assumed strictly.

Hope this helps.

Answer:

Parker is NOT right when he says that it is a division problem 6 ÷ 3.

In fact, it is a multiplication problem 6 × 3 because 6 × 3 = 18 would give us the correct number of total rectangles which are 18

Step-by-step explanation:

Total number of rectangles = 18

As there are 3 rows with each row containing 6 rectangles.

Now, if we multiply 6 with 3, we get the result 18.

Thus,

6 × 3 = 18

Hence, Parker must have mentioned that this arrow of 18 rectangles shows the multiplication problem 6 × 3.

Thus,

Parker is NOT right when he says that it is a division problem 6 ÷ 3.

In fact, it is a multiplication problem 6 × 3 as 6 × 3 = 18 would give us the correct number of total rectangles which are 18.

The crops or livestock that can be found in the "four-story" agriculture include:

Agriculture simply means the practice of cultivating plants and livestock. It is a key development in the rise of human civilization, whereby the farming of domesticated species created food surpluses which enabled people to live in cities.

In this case, the crops or livestock that can be found in the "four-story" agriculture are depicted above.

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Answer:

Step-by-step explanation:

Remember: h is the height perpendicular to the base, b is the base length.

\(A=\frac{1}{2} bh=\frac{1}{2} \times2.2\times3.8=4.18\)

Using multiple principle, The different area codes that are possible are 144

The multiplication principle is a counting principle that states the total number of possible outcomes of a series of independent events is equal to the product of the number of outcomes for each event. It is used in probability theory and other areas of mathematics and science.

According to the question

Under the original plan for area codes in 1945, the first digit could be any number from 2 through 9, the second digit was either 0 or 1, and the third digit could be any number except 0.

Therefore, the number of possible area codes can be calculated as follows:

For the first digit, there are 8 possibilities (2, 3, 4, 5, 6, 7, 8, or 9). Here 9 is inclusive.

For the second digit, there are 2 possibilities (0 or 1).

For the third digit, there are 9 possibilities (any digit except 0).

Using the multiplication principle, the total number of possible area codes can be determined by multiplying the number of choices for each digit:

8 × 2 × 9 = 144

So there are 144 different area codes possible according to this plan.

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Answer:

7/40

Step-by-step explanation:

Since 1 ounce is 1/20 of 20 ounces, she needs to use 1/20 of 3 1/2 cups.

1/20 * 3 1/2 = 1/20 * 7/2 = 7/40

Answer:

7/40

Step-by-step explanation:

Given:

3 1/2 cups of sugar to make 20 ounces of Lemonade

To Find:

How many cups of sugar would be used to make 1 ounce of Lemonade?

Solution:

To find how many cups of sugar would be used to make 1 ounce of lemonade. First we have to divided 3 1/2 by 20.

And which it will give us 7/40 equal 0.175 as a decimal.

Hence, Octavia need 7/40 cups of sugar to make 1 ounce of Lemonade

Answer:

6

Step-by-step explanation:

The equation becomes 9 *4 * 1/6. Then you simplify and get 6.

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