Just help me with question 2

Answer:

see below

Step-by-step explanation:

12/14 = 6/7 = 18/21

so w = 21

The given sequence is arithmetic progression.

The common difference is d= -20.

The difference between any two successive terms in an

arithmetic series will be the same all the way through the sequence.

Given -13, -33, -53, -73, ............ be a sequence.

If any two consecutive terms in the series above differ by "d" along the sequence, then the sequence is arithmetic.

d = -33 - (-13) = - 33 + 13 = - 20

d = -53 - (-33) = - 53 + 33 = - 20

d = -73-(-53) = - 73 + 53 = - 20

The difference 'd' is called common difference.

Since the common difference area same, i.e., d= - 20 the given sequence is arithmetic progression.

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The correct answer is option b. The random variable in this experiment is the number of days out of 3 that Pete catches fish.

Pete's probability of catching fish on any given day is.8, and the number of days for which he is fishing is three. This experiment has no bearing on the number of fish in the water.

The mathematical discipline of the probability is concerned with numerical descriptions of the likelihood of an event or proposition being true. A number between 0 and 1 indicates the likelihood of an event, with 0 representing impossibility and 1 representing the certainty.

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Complete Question:

the probability pete will catch fish when he goes fishing is .8. pete is going fishing 3 days next week.

what is the random variable in this experiment?

a. the .8 probability of catching fish

b. the number of days out of 3 that peter catches fish

c. the 3 days

d. the number of fish in the body of water

If the Pascal's triangle row entries are 1,n,...,n,1 and the average is 2048 , then the value of n is  15  .

Let the number of entries in the row is = n + 1  .

Since the average of the entries is 2048,

So , the sum of the entries is = 2048 × (n + 1).

We know that the sum of the entries in a row of Pascal's Triangle is equal to 2ⁿ, so we have the equation as :

⇒ 2048 × (n + 1) = 2ⁿ ;

On simplifying ,

we get ;

⇒ n = -0.99975 and n = 15 .

Since the "n" cannot be in negative .So , n = 15   .

Therefore , the value of n is the  pascal's triangle is 15 .

The given question is incomplete , the complete question is

The entries in a certain row of Pascal's Triangle are 1,n,...,n,1 the average of the entries in this row is 2048. find  n  .

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the probability that the distance between two randomly chosen points in a circle is less than the radius 1/3

Put the first point (P) somewhere on the circle (center O) - all the points are the same so it doesn’t matter where.

The other point (Q) will be somewhere on the circumference - length  2πr

It’s not clear if you want to measure distance around the circle or along a straight line.

If you measure around the circle, then there is an acceptable distance  r

 on either side of P and the probability is  2r/2πr=1/π

If you measure in a straight line, then Q can be a maximum distance r

 from P and OPQ is an equilateral triangle. We therefore have  60∘

 on each side of P and the probability is 120∘/360∘=1/3

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Answer:

Below

Step-by-step explanation:

149 radians  x   180 degrees / radian =26 820 degrees

                                  (did you leave out a decimal point perhaps?)

The true statement regarding the negation of the statement "It is not the case that x is equal to 400" is given as follows:

x is equals to 400.

Hence the remaining statements are false.

The statement in this problem is given as follows:

"It is not the case that x is equal to 400".

The synonym, considering that the clause is "x is equals to 400", is given as follows:

"x is not equal to 400".

The negation of the statement is given as follows:

Not("x is not equal to 400").

Hence, in this case, we would have a double negation, which becomes and affirmation, and thus the negation of the statement is given as follows:

x is equals to 400.

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Answer:

Step-by-step explanation:

first plug in -21 as X

-21-3=-24

-24/4=-6

71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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B. Function f has exactly two complex solutions.

The graph of the quadratic function is an equation of the variable that has the highest power of two. This function is related to quadratic equations. The general form of the quadratic equation is, a² + bx + c = 0.

The graph of the quadratic function in mathematics is characterized by f(x) = y which is the dependent variable, x is the independent variable, while a and b are coefficients called quadratic equations, which are quadratic equations, have a variable with the highest power of two and are in the form of an equation .

The general form of the quadratic equation is: where x is the independent variable, a and b are the coefficients, and c is a constant. A function is closely related to the graph of the function. So do quadratic functions, which have their own function graphs.

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There will be 8 intervals in the frequency distribution table with a class width of 5. The first confidence interval will start at 25 and the last interval will end at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50.

When creating a frequency distribution table, the number of intervals and the class width are important factors to consider. The class width is the range of each interval, while the number of intervals is determined by the total range of the data and the desired class width. In this case, the data range from 25-50, and the desired class width is 5. To calculate the number of intervals, the data range is divided by the class width. In this case, (50-25)/5 = 8. Therefore, there will be 8 intervals in the frequency distribution table, with the first interval starting at 25 and the last interval ending at 50. The 8 intervals are 25-29, 30-34, 35-39, 40-44, 45-49, and 50. This frequency distribution table will provide a visual representation of the data, making it easier to analyze the data and draw conclusions.

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Yes, this sample provides a likely estimate of the population parameter. To calculate the sample proportion, we need to divide the sample size by the number of successes.

In this case, the sample proportion is the number of teenagers that received the MMR vaccination (116) divided by the total sample size (400). This produces a sample proportion of 0.29 or 29%. This is close to the population parameter of 33%, so it provides a likely estimate of the population parameter. This can also be demonstrated by calculating the 95% confidence interval of the sample proportion. Using the formula (P ± 1.96√((P)(1-P)/n)), where P is the sample proportion (29%), and n is the sample size (400), the 95% confidence interval is (25.2%, 32.8%). Since the population parameter (33%) falls within this interval, it provides a likely estimate of the population parameter.

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The money available for saving is 3350.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Monthly earnings = 6500

Expenses:

Rent = 1650

Electricity = 300

Car payment = 1200

Total expenses.

= 1650 + 300 + 1200

= 3150

Now,

Remaining amount.

= Earnings - Total expenses

= 6500 - 3150

= 3350

Thus,

The money remaining is 3350.

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The correct option: b. Reaction times were the longest when people had to read words presented in colored ink.

A seemingly unimportant phenomena called the Stroop effect explains a great deal about how the brain functions.

Thus, the stroop experiment's findings most accurately represent when respondents used to have to read words given in colorful ink, reaction times tended to be the longest.

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The complete question is-

This following question refers to the outcome of the actual experiment (described on the conclusions slides), not the data generated from your performance in particular (which may or may not have matched the real experimental results).

a. Reaction times were the longest when people had to read words presented in black ink.

b. Reaction times were the longest when people had to read words presented in colored ink.

c. Reaction times were the longest when people had to name the color of colored chips/shapes.

d. Reaction times were the longest when people had to name the color of words presented in colored ink.

Answer:

B = $5.15

Step-by-step explanation:

One way to solve this is by adding the whole numbers first, which gives you $4, and then adding the rest of the number, which is the decimal points, which gives you $1.15, then you add those two together, which gives you your answer of $5.15.

Answer:

B $5.15

Step-by-step explanation:

Add.

$2.35 + $1.15 + $1.65 = $5.15

Hope this helped!

The height of the cylinder is 3 and its base is a circular disk with radius 1.

The solid of revolution obtained by revolving the region bounded by the curves y = x - 1, y = 0, and x = 3 about the x-axis is a cylinder.

The curves y = x - 1 and y = 0 bound a triangular region in the xy-plane with vertices (0, -1), (3, 0), and (1, 0). When this region is revolved about the x-axis, it generates a cylinder with height 3 and base a circular disk with radius 1.

A cylinder has traditionally been a three-dimensional solid, one of the most normal of curvilinear geometric shapes.

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Answer: -3(x-8)

Step-by-step explanation:

If Normally Distributed data set a mean of 55 where 99.7% of the data fall between 47.5 and 62.5, then the standard deviation of data set is (c) 2.5  .

The Standard Deviation can be calculated using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:

⇒ 68% of data falls within one standard deviation of mean

⇒ 95% of data falls within two standard deviations of mean

⇒ 99.7% of data falls within three standard deviations of mean

Since 99.7% of the data falls within 3 standard deviations of the mean, we can use this information to solve for the standard deviation.

Let's call the standard deviation "σ".

that means ; μ + 3σ = 62.6   ;   μ - 3σ = 47.4

on solving the above two equations  ,the standard deviation is

⇒ 6σ = 62.6 - 47.4  

⇒ 6σ = 15.2  ⇒ σ = 2.5   .

The given question is incomplete , the complete question is

In a normally distributed data set a mean of 55 where 99.7% of the data fall between 47.5 and 62.5, what would be the standard deviation of that data set ?

(a) 5.0

(b) 7.5

(c) 2.5

(d) 5.7

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Answer: There is no answer.

Step-by-step explanation:

The closest answer is 0 but there is no answer since -1 would equal 2.

Answer: 38 and 24

Step-by-step explanation:

Hope this helps.

Answer:

(0,-1)

Step-by-step explanation:

you only need to look where the graph and the y line cross each other.. and that is in the point (0,-1)

The number of terms in this arithmetic series is equal to 20.

The last term of this arithmetic series is equal to 79.

Mathematically, the sum of an arithmetic sequence is calculated by using this expression:

Sn = n/2(2a₁ + (n - 1)d)

Where:

Substituting the given parameters into the sum of an arithmetic sequence formula, we have the following;

820 = n/2(2(3) + (n - 1)4)

820 = n/2(6 + 4n - 4)

1,640 = n(2 + 4n)

1,640 = 2n + 4n²

820 = n + 2n²

2n² + n - 820 = 0

By solving the quadratic equation using the quadratic formula, we have:

x = 20 or x = -20.5

For the last term, we would use the following formula:

aₙ =  a₁ + (n - 1)d

a₂₀ =  3 + (20 - 1)4

a₂₀ =  3 + (19)4

a₂₀ = 79.

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Complete Question:

The first term of an arithmetic series is 3, the common difference is 4 and the sum of all the terms is 820. Find the number of terms and the last term.

The probability that a different catalyst is used on each run is 1, meaning it is certain to happen.

To calculate the probability that a different catalyst is used on each run, we can use the formula for combinations, which is given by n! / (n-k)!k!, where n is the number of items to choose from, k is the number of items being selected, and ! means factorial, which is the product of all positive integers up to that number.

In this case, we have 5 experimental runs and 5 different catalysts, so n = 5 and k = 5. The probability that a different catalyst is used on each run is given by:

5! / (5-5)!5! = 5! / 0!5!

= 120/120

= 1

--The question is incomplete, answering to the question below--

"An experimenter is studying the effects of temperature, pres-sure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.

Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?"

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The four integers are -3, 8, -4, and 6.

i.e,

-3 x 8 = -24

-4 x 6 = -24

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

a x b = - 24

Where a and b are integers.

Now,

The factors of 24 are:

-1 x 24 = -24

-2 x 12 = -24

-3 x 8 = -24

-4 x 6 = -24

or

1 x -24 = -24

2 x -12 = -24

3 x -8 = -24

4 x -6 = -24

So,

The integers can be -1, -2, -3, -4, -24, -12, -8,  and -6.

Thus,

The four integers can be -3, 8, -4, and 6.

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The formula for the area of a triangle is; Area = 125 units²

Using the concept of similar triangles, we can use the following proportion to fid x of the triangle;

20/x = x/5

Cross multiply to get;

x² = 100

x = √100

x = 10

The formula to find the area of a triangle is;

Area = ¹/₂ * base * height

Area = ¹/₂ * 25 * 10

Area = 125 units²

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Answer:ab power of 5 c

Step-by-step explanation: bc it stayed

The correct answer is - Yes we have two independent random samples and large sample size

Conditions for performing a two-sample

t-test: Random, Normal and Independent.

Random: Satisfied, because the samples have been given to be random samples.

Normal: Can be assumed to be satisfied, because the sample size of each sample is at least 30.

Independent: Satisfied. The random samples have been given to be separate and thus are independent. Moreover, the sample sizes are less than 10% of the population size.

Thus all three conditions have been satisfied and thus answer (e) is correct.

A t-take a look at is a statistical test that compares the method of  samples. it's far used in speculation trying out, with a null speculation that the distinction in institution manner is 0 and an change speculation that the distinction in institution manner isn't like zero

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To create a relative frequency distribution, we need to count the number of occurrences of each response and divide it by the total number of responses, which is 20 in this case. The relative frequency of classmates who say their favorite month is June can be calculated as follows:

Number of classmates who say their favorite month is June: 2

Relative frequency of classmates who say their favorite month is June: 2/20 = 1/10 = 0.1

So, the relative frequency of his classmates who say their favorite month is June is 0.1 or 10%.

Relative frequency is a measure of the proportion or percentage of observations in a dataset that belong to a specific category or interval. It is calculated as the count of observations in a specific category or interval divided by the total number of observations in the dataset.

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According to the information provided, statistics A seems to be an unbiased estimator of the population parameter.

Statistic A is the objective estimator of the population parameter, it should be emphasized. This is as a result of its 75 population parameter being its focal point. Statistic A would provide a more accurate estimate of the population parameter. This is due to the sample mean being 75, which is also the population mean. Given that statistic D is equal to the population means, it would serve as a more accurate estimate of the population parameter. The final point to make is that statistic C has no distribution shape.

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The value of the expression for the condition is 15.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities. The expression structure is as follows:

(Number/Variable, Math Operator, Math Operator) is an expression.

Given the expression,

a + ab and a = 5, b = 2

substitute the values of a and b in the expression we get,

a + ab = 5 + (5)(2)

multiply 5 and 2 we get 10

a + ab  = 5 + 10

a + ab  = 15

Hence the value is 15.

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