A​ four-year study of various brands of bottled water found that 25​% of bottled water is just tap water packaged in a bottle. Consider a sample of sevenseven ​bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a through d.

a. Is x​ (approximately) a binomial random​ variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).

Answer: A = 6

Step-by-step explanation: Here to help! So, if "a" wants to know the numerator of the fraction, all you have to do is to multiply 0.6 by 10, and that would get you 6/10. 6/10 is equivalent to 60% or 0.6. :))))

Given the figure in the attached image.

Reason: vertically opposite angles are equal.

Also;

Reason: supplementary angles.

solving for angle 1;

Answer:

  B.  quadratic

Step-by-step explanation:

You want to know the kind of function that would best fit the points shown on the graph.

The points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.

A linear function has a constant slope.

An exponential function has a continuously increasing or continuously decreasing slope.

A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.

The equation that best fits the given data will be quadratic.

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Answer:

Let's call the three-digit number whose digits are all the same "n". We know that n must be between 111 and 999, inclusive.

Now let's consider a three-digit number x. We can write x as:

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x = 100a + 10b + c

where a, b, and c are the hundreds, tens, and one's digits of x, respectively. The sum of the digits of x is:

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a + b + c

If we subtract this sum from x, we get:

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100a + 10b + c - (a + b + c) = 99a + 9b

We want this to be equal to n, which means:

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99a + 9b = n

We know that n has three identical digits, so we can write:

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n = 111p

where p is a digit between 1 and 9. Substituting this into the equation above, we get:

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99a + 9b = 111p

11a + b = 37p

Since a and b are digits between 0 and 9, we can see that 37p must be between 0 and 99. The possible values of p are therefore 1, 2, and 3.

If p = 1, then 37p = 37, and we need to find two digits a and b such that 11a + b = 37. This gives us the solutions (a, b) = (3, 4) and (a, b) = (4, 3), which correspond to the numbers 343 and 434.

If p = 2, then 37p = 74, and we need to find two digits a and b such that 11a + b = 74. There are no such solutions since the largest possible value of 11a + b is 99.

If p = 3, then 37p = 111, and we need to find two digits a and b such that 11a + b = 111. This gives us the solution (a, b) = (10, 1), which corresponds to the number 1001. However, 1001 is not a three-digit number, so it does not count.

Therefore, the only two three-digit numbers that satisfy the conditions of the problem are 343 and 434. There are 2 such numbers.

Step-by-step explanation:

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

zh

Step-by-step explanation:

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Answer:

You would need 8 tables

Step-by-step explanation:

96/12

Answer: Option A is correct.

Step-by-step explanation:

It lies between -1 and 1.

If the correlation coefficient in an ordinary least squares regression = 1.00.

That indicates that there is a perfect relationship between the variables.

i.e. all the data points must fall exactly on a straight line with a positive slope. .

[when r is positive, the slope of the line is positive].

i.e. option A is correct.

All the data points must fall exactly on a straight line with a positive slope. Then the correct option is A.

It is a statistical concept that helps in establishing a relation between the predicted and actual value obtained in a statistical experiment. It explains the exactness of the predicted value and actual value.

If the correlation coefficient in an ordinary least squares regression = 1.00.

The correlation coefficient lies between -1 to 1.

If the correlation coefficient in an ordinary least squares regression is 1.00.

Then it indicates that there is a perfect relationship between the variables. That is all the data points must fall exactly on a straight line with a positive slope.

Thus, the correct option is A.

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The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

\(|x-6|\le 0.45\)

\(x\in [5.55,6.45]\)

Step-by-step explanation:

Absolute Value Inequality

Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.

Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.

The variation (unsigned) from the ideal width is:

\(|x-6|\)

The question requires that the variation is at most 0.45 cm. That poses the inequality:

\(|x-6|\le 0.45\)

That is the range of acceptable widths. Let's now solve the inequality.

To solve an inequality for an absolute value less than a positive number N, we write:

\(-0.45\le x-6 \le 0.45\)

This is a double inequality than can be easily solved by adding 6 to all the sides.

\(-0.45+6\le x \le 0.45+6\)

Operating:

\(5.55\le x \le 6.45\)

That is the solution in inequality form. Expressing in interval form:

\(\boxed{x\in [5.55,6.45]}\)

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

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The Median age for the Chess Club members is 14 and  the Median age for the Chess Club members is 12.

Option A. The Median age for the Chess Club members is less than the Median age for the Checkers Club members is the correct option of the given figure.

The value that, when a dataset is arranged, lies exactly in the middle is the median. The difference between the lowest 50% and highest 50% of data is a measure of central tendency. Depending on whether you have an odd or an even number of data points, there are several procedures to find the median.

Identifying the median The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd. The median is the average of the two middle data points in the list if the number of data points is even.

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Answer:

A. {-1, 0, 5, 10}

Step-by-step explanation:

Given:

(-1, 1), (0, -1), (5, -11), (10, -21)

Required:

Domain of the set of the above ordered pairs

SOLUTION:

Domain of any set of ordered pairs includes all the x-values in the set of ordered pairs, while the y-values in the set of the ordered pairs makes up the range.

The first value in an ordered pair is the x-value while the second is the y-values, i.e. (x, y).

Therefore, the domain for the given set of ordered pairs is:

{-1, 0, 5, 10}.

The correct option is A.

Question:

What is the domain of the set of ordered pairs above?

A.  {1, -1, -11, -21}

B.  {-1, 1}

C.  {-1, 0, 5, 10}

D.  {-1, 10}

Answer:

C.  {-1, 0, 5, 10}

Answer:

4 cm.

Step-by-step explanation:

Area = pi r^2, so:

pi r^2 = 4 / pi

(pi)^2 r^2 = 4

r^2 = 4/ (pi^2)

r = 2/pi

Therefore, the circumference

= 2 pi r

= 2* pi * 2/pi

= 4

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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The outcomes for the event of choosing the letter B are: B

The sample space describes all possible outcomes when randomly picking a ball from the bag. In this case, the bag contains five balls labeled A, B, C, D, and E. Therefore, the sample space is {A, B, C, D, E}, which represents all the possible outcomes.

Now, for the event of choosing the letter B, we need to identify the outcomes that correspond to selecting the ball labeled B. In this case, there is only one outcome that satisfies this event, which is the ball labeled B.

Therefore, the outcomes for the event of choosing the letter B are:

B

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

Step-by-step explanation:

it is B

Answer:

Step-by-step explanation:

2x + 3x = 90

5x = 90

Divide both sides by 5

x = 90/5

x = 18

Angles are: 3x = 3*18 = 54°

                   2x = 2*18  = 36°

(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

From the question, we have the following parameters that can be used in our computation:

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Answer:

reject the null hypothesis or fail to reject the null hypothesis.

The two decisions that perform the hypothesis test includes fail to deny the null hypothesis, and deny the null hypothesis.

Hypothesis testing refers to the testing that can give access to the reliability of the hypothesis via sample data.

There are two types of decisions that are considered to be wrong while performing the hypothesis test is:

So, the decisions that should not be considered while performing the hypothesis test is:

Therefore we can conclude that options D and option E are considered from performing a hypothesis​ test.

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9514 1404 393

Answer:

  B. y = -6.2x

Step-by-step explanation:

If the y-intercept is zero (the graph passes through the origin), then its slope-intercept equation is ...

  y = mx + b

  y = mx . . . . . line with slope m and y-intercept of 0

When the slope is -6.2, the equation is ...

  y = -6.2x

Answer:

7.48m (3s.f.)

Step-by-step explanation:

Let the missing side be x m.

Applying Pythagoras' Theorem,

x² +5²= 9²

x² +25= 81

x²= 81 -25 (-25 on both sides)

x²= 56

\(x = \sqrt{56} \)

\(x = 2 \sqrt{14} \)

x= 7.48 (3 s.f.)

∴ The missing side is 7.48 m (3s.f.)

Answer:

Therefore, Connor is correct in his explanation that the ratio of white to black marbles is 4:11.

Step-by-step explanation:

Connor is correct in his reasoning. Let's break down the problem step by step to understand why.

Given:

Ratio of white marbles to red marbles = 2:3

Ratio of red marbles to black marbles = 6:11

To find the ratio of white to black marbles, we can follow these steps:

Step 1: Consider the black marbles as the whole unit.

Let's assume there are 11 black marbles (since the ratio of red to black marbles is 6:11).

Step 2: Determine the number of red marbles.

Since the ratio of red marbles to black marbles is 6:11, out of the assumed 11 black marbles, there are (6/11) * 11 = 6 red marbles.

Step 3: Determine the number of white marbles.

Using the ratio of white marbles to red marbles (2:3), we can find the number of white marbles. Since the ratio is 2:3, the number of white marbles would be (2/3) * 6 = 4.

Step 4: Find the ratio of white to black marbles.

Now that we have determined there are 4 white marbles and 11 black marbles, the ratio of white to black marbles is indeed 4:11.

Answer: 160

Step-by-step explanation: 5% of x = 8

In other words, x * 0.05 = 8. To find what x is, we need to work backwards.

x * 0.05 = 8

x = 8/0.05

x = 160

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To solve the system we equate the y variables of both equations and solve for x:

Now that we have the value of x we plug it in the first equation to get y:

Therefore the solution is x=5 and y=16. It can also be written as (5,16)