-30 belongs to what family of real numbers ?

The probability that z is divisible by 2 is 12/16, which simplifies to 3/4 or 0.75.

To calculate the probability that z = xy is divisible by 2, we will first analyze the possible outcomes of rolling the pair of 4-sided fair dice. Since each die has 4 sides, there are a total of 4x4 = 16 possible outcomes.

We are interested in the cases where z = xy is divisible by 2, meaning that either x or y (or both) are even numbers. On a 4-sided die, half of the outcomes (2 sides) are even numbers, specifically 2 and 4.

There are three possible scenarios for z to be divisible by 2:
1. x is even and y is odd.
2. x is odd and y is even.
3. x and y are both even.

For scenario 1, there are 2 even outcomes for x and 2 odd outcomes for y, resulting in 2x2 = 4 possibilities.
For scenario 2, there are 2 odd outcomes for x and 2 even outcomes for y, also resulting in 2x2 = 4 possibilities.
For scenario 3, there are 2 even outcomes for both x and y, resulting in 2x2 = 4 possibilities.

In total, there are 4+4+4 = 12 possible outcomes where z is divisible by 2. Thus, the probability that z is divisible by 2 is 12/16, which simplifies to 3/4 or 0.75.

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The probability that z is divisible by 2 is 12/16, which simplifies to 3/4 or 0.75.

To calculate the probability that z = xy is divisible by 2, we will first analyze the possible outcomes of rolling the pair of 4-sided fair dice. Since each die has 4 sides, there are a total of 4x4 = 16 possible outcomes.

We are interested in the cases where z = xy is divisible by 2, meaning that either x or y (or both) are even numbers. On a 4-sided die, half of the outcomes (2 sides) are even numbers, specifically 2 and 4.

There are three possible scenarios for z to be divisible by 2:
1. x is even and y is odd.
2. x is odd and y is even.
3. x and y are both even.

For scenario 1, there are 2 even outcomes for x and 2 odd outcomes for y, resulting in 2x2 = 4 possibilities.
For scenario 2, there are 2 odd outcomes for x and 2 even outcomes for y, also resulting in 2x2 = 4 possibilities.
For scenario 3, there are 2 even outcomes for both x and y, resulting in 2x2 = 4 possibilities.

In total, there are 4+4+4 = 12 possible outcomes where z is divisible by 2. Thus, the probability that z is divisible by 2 is 12/16, which simplifies to 3/4 or 0.75.

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Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11

Answer:

Area = 6.2 yards²

Step-by-step explanation:

area = bh

area = 2(3.1)

Answer:

6.2

Step-by-step explanation:

2x3.1=6.2

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

Actually, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y).

To see why, let's substitute y = 0 degrees into the expression:

sin(y)*tan(y) = cos(y)

sin(0)*tan(0) = cos(0)

0*tan(0) = 1

0 = 1

As we can see, the equation does not hold for y = 0 degrees. However, this does not make 0 degrees a counterexample, because 0 degrees is not in the domain of the tangent function.

The tangent function is undefined at odd multiples of 90 degrees (e.g. 90, 270, etc.), because at those angles the denominator of the tangent function becomes zero. Therefore, we cannot substitute y = 0 degrees into the expression sin(y)*tan(y) = cos(y), because it would result in division by zero.

In summary, 0 degrees is not a counterexample for the expression sin(y)*tan(y) = cos(y), because it is not in the domain of the tangent function.

Equation of line p:

\({\sf{2x - 3y = 4}}\)

\({\sf{y = \frac{2x}{3} - \frac{4}{3}}}\)

Slope of line p (m):

\({\sf{\frac{2}{3}}} \)

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

\({\sf{m \times m2 = - 1}}\)

\({\sf{ \frac{2}{3} \times m2 = - 1}}\)

\({\sf{m2 = \frac{ - 3}{2}}}\)

Since, line l passes through points (6, 0).

We apply,

\({\sf{(y - y1) = m2(x - x1)}}\)

\({\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} \)

\({\sf{2y - 0 = - 3x + 18}}\)

\({\sf{3x + 2y - 18 = 0}}\)

The equation of line l:

\({\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}\)

Answer:

\(x=30\)

Step-by-step explanation:

\(5x=3x+60\)

\(-3x\)   \(-3x\)

\(2x=60\)

\(/2\)     \(/2\)

\(x=30\)

Check:

\(5(30)=3(30)+60\)

\(150=90+60\)

\(150=150\)

Hope this helps!

Answer:

black

black

Step-by-step explanation:

Answer: there all liner except 2 and 5 also one and five you have see what its adding up to like say if i had 3,5,7,9 its adding by 2 and i have another side that say 2,6,8 then u would say its not liner if that make since

Step-by-step explanation:

The pool water will be 0.006% chlorine after approximately 236.5 minutes, and the percentage of chlorine in the pool after 1 hour (60 minutes) is approximately 0.674%.

Let C(t) be the amount of chlorine in the pool at time t in minutes, measured in gallons of chlorine. Since the volume of the pool is 10,000 gal and the initial concentration of chlorine is 0.01%, we have:

C(0) = 10,000 gal x 0.01% = 1 gal

As city water containing 0.003% chlorine is pumped into the pool at a rate of 6 gal/min and the pool water flows out at the same rate, the differential equation for C(t) is:

dC/dt = (0.003 - C(t)/10,000) x 6 - C(t)/10,000 x 6

Simplifying the right-hand side and solving the differential equation using separation of variables, we get:

C(t) = 30,000(1 - e^(-t/166.7)) - 180,000e^(-t/166.7)

After 1 hour (60 minutes), we have:

C(60) = 30,000(1 - e^(-60/166.7)) - 180,000e^(-60/166.7) ≈ 0.0674 gal

The percentage of chlorine in the pool after 1 hour is:

0.0674 gal / 10,000 gal x 100% ≈ 0.674%

To find when the pool water is 0.006% chlorine, we set C(t) = 10,000 gal x 0.006% = 0.6 gal and solve for t:

30,000(1 - e^(-t/166.7)) - 180,000e^(-t/166.7) = 0.6

Using numerical methods, we find that t ≈ 236.5 minutes.

After roughly 236.5 minutes, the chlorine content of the pool will be 0.006%, and after an hour (60 minutes), it will be approximately 0.674%.

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The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.

The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.

The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.

Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.

Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.

b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.

The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):

SE = SD / √n

Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:

SE = 30 / √1000 = 30 / 31.62 ≈ 0.95

Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

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Diameter = 120m

Circumference = (120 · π) m

(40 min) / (30 min/rotation)  =  4/3 rotation

Passenger travel = (4/3) · (120π)  =  160π meters  =  502.7 meters

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

A confidence interval estimate of the population mean rating for Miami is:

Confidence interval:

(Mean - E) ≤ μ ≤ (mean + E)

(7.52 - 0.6578) ≤ μ ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Now, According to the question:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤ μ ≤ (mean + E)

(7.52 - 0.6578) ≤ μ ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

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The complete question is this:

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Required:

Develop a confidence interval estimate of the population mean rating for Miami.

Answer: There are 10 different values possible for the random variable x.

Step-by-step explanation:

In this modified problem, the probability of rolling each number is different from a standard fair die. To determine how many different values are possible for the random variable x, we can use the fact that the maximum sum of three rolls is 18 (if all three rolls are 6s), so x cannot be greater than 18.

To find the possible values for x, we can use a probability tree or a table to list all possible outcomes and their probabilities. Here is a table listing the possible values for x and their probabilities:

x Probability

1 0.4

2 0.49

3 0.581

4 0.6639

5 0.73951

6 0.809561

7 0.8746051

8 0.93414459

9 0.987730103

10 1

To calculate these probabilities, we can use the following recursive formula:

P(x=1) = P(sum=1) = 0.1

P(x=k) = P(x=k-1) * (1 - P(sum≤k-1)), for k = 2 to 9

P(x=10) = 1 - P(sum≤9)

Here, P(sum≤k) is the probability of the sum of the first k rolls being less than or equal to 3. We can calculate this probability recursively as well:

P(sum≤1) = P(1) = 0.1

P(sum≤k) = P(sum≤k-1) + P(k), for k = 2 to 18

Here, P(k) is the probability of rolling a k, which is given in the problem statement.

Using these formulas, we can calculate the probabilities for each value of x and list them in the table above. We can see that there are 10 possible values for x, ranging from 1 to 10.

Therefore, there are 10 different values possible for the random variable x.

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Answer:

B

Step-by-step explanation:

The length of the segment MN = 5.4 unit

The length of the line segment bridging two points on a plane is known as the distance between the points.

The length of the segment MN = The distance from (-1, 2) and (4, 0).

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

The length of the segment MN = √{(4+ 1)² + (0 - 2)²}

The length of the segment MN = √{5)² + (2)²}

The length of the segment MN = √{29} = 5.385

Therefore, the length is 5.4 unit.

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Answer:

(-2, 8) and (2, -8)

Step-by-step explanation:

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

Answer:

13

Step-by-step explanation:

A(n) "spanned" volume is similar to a primary partition, but in fact, is not a primary partition.

A spanned volume is similar to a primary partition, but in fact, is not a primary partition. In a spanned volume, you can combine free space from multiple disks to create a larger logical storage unit, while a primary partition is a segment of a hard disk drive that the operating system recognizes as a separate logical storage unit. A volume can span multiple partitions depending on how it is configured, or it can encompass a single partition. Different operating systems have different ways of configuring and managing volumes.

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Answer:

A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:

(Miles/hour) * (hours) = miles

So we can just plug in the values…

65 * 5 = 325

Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.

Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."

Answer:

65

Step-by-step explanation:

If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.

Answer:

15638

Step-by-step explanation:

because i need point so i can put a question up

The set of measurements to form a right triangle is Option C.

√6 , 8 , √70

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

If the triangle is a right triangle , from the Pythagoras Theorem , we get

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the measurements of the three sides be

√6 , 8 , √70

Let the three sides of the triangle ABC be AB , BC and CA

Let the hypotenuse be AC = √70

Let the base BC = √6

Let the height AB = 8

So , from the right triangle

According to Pythagoras theorem , we get

hypotenuse² = base² + height²

So ,

AC² = AB² + BC²

( √70 )² = ( √6 )² + 8²

70 = 6 + 64

70 = 70

Hence , The set of measurements to form a right triangle is Option C.

√6 , 8 , √70

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Explanation

An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line

Step 1

solve the inequality

so, in intervals

Step 2

graph the solution

I hope this helps you

Answer:Look at the digit in tens place. If it is 5 or greater, round the digit in hundreds place to the next higher digit. If the digit in tens place is less than 5, leave the digit in hundreds place as it is. Change all the numbers to the right of the hundreds place to zeros.

261 rounded to the nearest hundred is 300.

Step-by-step explanation:

Answer

I dont know what you meant by bears but to the nearest hundred 300.

Step-by-step explanation:

Answer: Can you post original picture of question please

Step-by-step explanation:

Answer: Open circle on 1 1/5 with arrow going right

Step-by-step explanation: Got correct on test

Answer:

0.8%

Step-by-step explanation:

Answer:

3,645 per year

Step-by-step explanation:

10% of 36,450 = 3645

It loses 3,645 every year

Drawing a 10 from the bag      unlikely

Rolling a number less than 5   Likely

Drawing a red marble             equally likely and unlikely

Here is the completed frequency table:

Number       frequency

1                       9

2                    12

3                    10

4                    8

5                    5

6                     6

Hiro's prediction is likely.

Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.

Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01

It is unlikely that you would draw a 10.

Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides =  4/6 = 0.67

It is likely that a number less than 5 would be rolled.

Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5

It is equally likely and unlikely that a red marble would be picked

In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.

The frequency of 2 = (50 / 25) x 6 = 12

Number       frequency

1                       9

2                    (6 x 2) 12

3                    (1 x 10) 10

4                    (4 x 2) = 8

5                    (1 x 5) 5

6                     (3 x 2) 6

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Answer: $333

Step-by-step explanation: $12000. Percentage Down payment = 25%. Absolute down payment = 25/100=12000 = $3000. Amount of loan (p) = 12000-3000 = $9000