6What might have been the cost of a ticket during the years 1975-1979? Give your actual predictions for each year below. How did you determine how much
a ticket would cost each year?

Answer: 18

Step-by-step explanation:

1/4 of 32 = 8

8+10 = 18

After considering the given data we conclude that the probability that both bulbs selected are rated 75 W, given that at least one of them is rated 75 W, is 1/7 or approximately 0.143.

To evaluate the probability that both bulbs selected from a box containing four 40 W bulbs, five 60 W bulbs, and six 75 W bulbs are rated 75 W, given that at least one of them is rated 75 W, we can apply conditional probability.
Let A be the event that the first bulb selected is rated 75 W, and B be the event that the second bulb selected is rated 75 W. We want to find P(B|A'), where A' is the complement of A, i.e., the event that the first bulb selected is not rated 75 W.
We can apply the formula for conditional probability:
\(P(B|A') = P(A' \cap B) / P(A')\)
We can evaluate the probabilities as follows:
\(P(A') = (4+5) / (4+5+6) = 9/15\)
(since there are 4+5 bulbs that are not rated 75 W out of a total of 4+5+6 bulbs)
\(P(A \cap B) = (6/15) * (5/14) = 3/35\)
(since there are 6 bulbs that are rated 75 W out of a total of 15 bulbs on the first draw, and 5 bulbs that are rated 75 W out of a total of 14 bulbs on the second draw, assuming that the first bulb selected is not rated 75 W)
\(P(B|A') = P(A' \cap B) / P(A') = (3/35) / (9/15) = 1/7\)
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Answer: The ratio of the side lengths of two similar figures is 2:5.

Let's assume that the dimensions of the smaller figure are 2x, 2y, and 2z, where x, y, and z are some constants. Then, the dimensions of the larger figure will be 5x, 5y, and 5z.

The ratio of the volumes of two similar figures is the cube of the ratio of their corresponding side lengths.

So, the ratio of the volumes of the smaller and larger figures will be:

(2x)^3 : (5x)^3

8x^3 : 125x^3

We can simplify this ratio by dividing both sides by the common factor of x^3:

8 : 125

Therefore, the ratio of the volumes of the smaller and larger figures is 8:125.

Step-by-step explanation:

Solution:

Note that:

Substitute the values into the expression to find the volume.

Color yellow is correct

Out of those who took the exam, 3/5 passed. So, 100 * 3/5 = 60 is the number of students passed the exam. Therefore, the correct answer is: c ) 60.

To solve this problem, we'll follow these steps:

Step 1: Determine the number of nursing students who were required to take the exam.

Since 1/2 of the nursing students were required to take the exam, we calculate: (1/2) * 200 = 100.

Step 2: Determine the number of students who took the exam.

Since all of the students who were required to take the exam actually took it, the number of students who took the exam is also 100.

Step 3: Determine the number of students who passed the exam.

Since 3/5 of those who took the exam passed, we calculate: (3/5) * 100 = 60.

University X required 1/2 of the 200 nursing students to take the exam, which means 200 * 1/2 = 100 students took the exam.

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The probability that more than 7 of them weigh 65 lb or more is 0.0123.

A polynomial with only terms is a binomial. An illustration of a binomial is x + 2, where x and 2 are two distinct terms. Additionally, in this case, x has a coefficient of 1, an exponent of 1, and a constant of 2. As a result, a binomial is a two-term algebraic expression that contains a constant, exponents, a variable, and a coefficient. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

Given,

The Australian sheep dog is a breed renowned for its intelligence and work ethic. it is estimated that 40% of adult Australian sheep dogs weigh 65 pounds or more. a sample of 10 adult dogs is studied.

Let x be the number of sheep having 65 lb or more weight out of n;

Binomial function:

P(X = x) = ⁿCₓ Pˣ qⁿ⁻ˣ

When x = 0,1 2,..n

q = 1-p

n = 10

So,

P(X>7) = P(X = 8) + P(X = 9) +P(X = 10)

P(X >7) = ¹⁰C₈ (0.40)⁸ q¹⁰⁻⁸ + ¹⁰C₉(0.40)⁹ q¹⁰⁺⁹ + ¹⁰C₁₀ (0.40)¹⁰

P(X>7) = (0.40)⁸ (45× 0.36 + 10× 0.24+0.16)

P(X>7) = (0.40)⁸ (16.2 +2.4 + 0.16)

P(X>7) = 0.40⁸ × 18.76

P(X>7) = 0.0123

The probability that more than 7 of them weigh 65 lb or more is 0.0123.

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The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.

In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.

The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.

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The probability of the sample mean being less than 79 is 77.64%

In order to solve the given problem we have to take the help of Standard error mean

SEM = ∑/√(n)

here,

∑ = population standard deviation

n = sample size

hence, the z-score can be calculated as

z = ( x' - μ)/σ/√(n)

here,

x' = sample mean

μ = population mean

σ = population standard deviation

n = sample size

adding the values into the formula

SEM = σ / √(n)

= 21/√64

= 2.625

z = (x' - μ)/SEM

= (79-77)/2.625

= 0.76

now, using standard distribution table we find that probability of a z-score is less than 0.77 then converting it into percentage

0.77 x 100

= 77%

The probability of the sample mean being less than 79 is 77.64%

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The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)

Let x represent the "smallest number" of a set of three unknown numbers.

• The greatest os 4 times the smallest, symbolically: 4x

• The middle number is three more than the smalles, symbolically x+3

• The sum of the smallest and the greatest is the same as 2 times the middle number, symbolically: x+4x=2(x+3)

Using the last expression you can clear the value of x (the smallest number)

x=2 → The smallest number of the set of three is 2

Now using this value and the given equivalencies we can calculate the midle and greatest number:

Middle number

x+3= 2+3= 5

Greatest number

4x=4*2=8

The set of three numbers is (2, 5, 8)

Answer:

C

Step-by-step explanation:

Answer: First, order them in the order of smallest to largest, which is 40, 60, 70, 80, 80. Then, since there are 5 numbers, the 3rd number, which is 70, would be the median.

Then, add all numbers:

40+60+70+80+80=330

and divide that by 5:

330/5=66

So, the median is 70 and the mean is 66.

Step-by-step explanation:

The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.

The check register shows a balance of $500, while the bank statement shows a balance of $510.

In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.

A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.

For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.

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Answer:

C.

Step-by-step explanation:

The answer is C. Square root 4 and square root 9.

Solving the provided question we can say that as exponents because one bacteria can expand to two bacteria, which can then multiply to four bacteria, which can then multiply to eight bacteria. hence, answer  A.

what are exponents?

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where

because one bacteria can expand to two bacteria, which can then multiply to four bacteria, which can then multiply to eight bacteria. hence,

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The formula for the volume of a cylinder is \(r^{2}\)h, where r is the radius and h is the height. To solve for h, h = r + 3, and to find the total surface area, lateral surface area = 2rh, top and bottom areas = 2\(r^{2}\), and total surface area = 826.59 \(cm^{2}\).

Let's calculate for the radius and height using the cylinder's volume formula:

Volume = π\(r^2h\), where r is the radius and h is the height.

We have Volume = 1540 \(cm^3\), so we can write:

1540 = π\(r^2h\)

Also, we know that the difference between the height and radius is 3 cm:

h - r = 3

We can solve for h in terms of r by rearranging the above equation:

h = r + 3

Now we can substitute this into the formula for volume:

1540 = π\(r^2(r + 3)\)

Simplifying and solving for r:

1540 = π\(r^3\) + 3π\(r^2\)

π\(r^3\) + 3π\(r^2\) - 1540 = 0

r ≈ 7.38 cm

Using the equation h = r + 3, we can find the height:

h = 7.38 + 3 = 10.38 cm

Now we can use the formulas for the lateral surface area and the top and bottom areas to find the total surface area of the cylinder:

Lateral surface area = 2πrh

Top and bottom areas = 2π\(r^2\)

Substituting in the values we found, we get:

Lateral surface area = 2π(7.38)(10.38) ≈ 483.87 \(cm^2\)

Top and bottom areas = 2π\((7.38)^2\) ≈ 342.72 \(cm^2\)

Total surface area = Lateral surface area + Top and bottom areas

Total surface area ≈ 826.59 \(cm^2\)

Therefore, the total surface area of the cylinder is approximately 826.59 \(cm^2\).

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Answer:

45.29 miles per hour

Step-by-step explanation:

Speed is the distance over time.  To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.

Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)

Avg. Speed = 45.29 miles per hour

Hence the average rate of speed for the trip was 45.29 miles per hour.

Cheers.

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

Edit:  Thanks to Chegsnut36 for calculation correction

Answer:

≅45.29

Step-by-step explanation:

Hey there!

To find the average rate speed we need to add all the same number.

188 + 197 = 385

4 + 4.5 = 8.5

Now to find the average rate we do,

385 ÷ 8.5 ≅ 45.29

Hope this helps :)

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

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Answer:

the equation is x^2-16

Step-by-step explanation:

sum:0=+4-4

product:-16=+4*-4

(x-4)(x+4)

when you open the brackets the equation you will obtain will be x^2-16

The two integers whose sum is 0 and product is -16 are 4 and -4 and this can be determined by using the arithmetic operations.

Given :

Two integers whose sum is 0 and the product is -16.

The following steps can be used to determine the two unknown integers:

Step 1 - Let the two unknown integers be 'a' and 'b'.

Step 2 - According to the given data, the sum of two integers is 0 that is:

a + b = 0

a = -b  --- (1)

Step 3 - Also it is given that the product of the two integers is -16 that is:

ab = -16    --- (2)

Step 4 - Substitute the value of 'a' in equation (2).

\(\rm b^2= 16\)

b = 4

Step 5 - Substitute the value of b in equation (1).

a = -4

The two integers whose sum is 0 and product is -16 are 4 and -4.

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The quotient of the division is x^3 + 3x^2 + 9x + 23

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

x^4-4x-8 divided by x-3

Using the long division method of quotient, we have

x - 3 | x^4 - 4x - 8

The division steps are as follows

          x^3 + 3x^2 + 9x + 23

x - 3 | x^4 - 4x - 8

         x^4 - 3x^3

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

            3x^3 - 4x - 8

            3x^3 - 9x^2

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

                        9x^2 - 4x - 8

                        9x^2 - 27x

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

                          23x - 8

                          23x - 69

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

                               -61

Hence, the quotient is x^3 + 3x^2 + 9x + 23

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The percentage of the data that would fall between 5 and 35 on the box - and - whisker plot is 50 %.

A box and whisker plot, also known as a box plot, is a graphical representation of a dataset that displays the distribution of the data using five summary statistics: the minimum and maximum values, the first quartile (Q1), the median (Q2), and the third quartile (Q3).

5 is the lowest datapoint on this box - and - whisker plot. 35 is the Median which is halfway through the data so 5 to 35 would be 50 % of the data.

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Answer:

2nd option

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

19 - 11 < x < 19 + 11

8 < x < 30

Answer:

8 < x < 30

Step-by-step explanation:

The rule for side lengths of a triangle is:

the sum of two side's must be bigger than the third side and their difference must be smaller than the third side :

19 - 11 < x < 19 + 11

8 < x < 30

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer:

1

Step-by-step explanation:

Answer:

Explanation:

Given the ordered pair (-2, 4 1/2), where x = -2 and y = 4 1/2 = 9/2 = 4.5. Plotting this point, we'll have;

Note that quadrants are numbered in an anti-clockwise manner with the top right portion of the graph as Quadrant I. Looking at the plotted point, we can see that it lies in Quadrant II.

Answer:

5/3

Step-by-step explanation:

2 2/3 * 5/8

~Turn both into improper fractions

8/3 * 5/8

~Multiply

40/24

~Simplify

5/3

Best of Luck!

There are no values less than 30 or greater than 70 in the dataset, there are no outliers for the age-group 40 years to 50 years using this method.

To identify outliers for the age-group 40 years to 50 years, we need to use a statistical method called the interquartile range (IQR). The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). Any data point that is more than 1.5 times the IQR below Q1 or above Q3 is considered an outlier.
Assuming we have a dataset for the age-group 40 years to 50 years, we first need to find Q1, Q3, and the IQR. Let's say the dataset is {42, 44, 45, 47, 48, 50, 52, 55, 58, 60}. To find Q1, we need to find the median of the lower half of the dataset. In this case, the lower half is {42, 44, 45, 47, 48}. The median of this set is 45. To find Q3, we need to find the median of the upper half of the dataset. In this case, the upper half is {50, 52, 55, 58, 60}. The median of this set is 55. Therefore, Q1 = 45 and Q3 = 55. The IQR is Q3 - Q1 = 55 - 45 = 10.
Now, we can identify outliers. Any data point that is more than 1.5 times the IQR below Q1 or above Q3 is considered an outlier. In this case, any value less than 30 or greater than 70 would be considered an outlier. Since there are no values less than 30 or greater than 70 in the dataset, there are no outliers for the age-group 40 years to 50 years using this method.

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Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00