1448×17 in vertical order​

The sample mean of the number of movies watched by 25 students is 2.8 and the approximate sample standard deviation is 1.15.

(a) The sample mean X can be calculated by taking the average of the number of movies watched by all 25 students.

Step 1: Sum up the number of movies watched by all 25 students:

\(0 * 1 + 1 * 2 + 2 * 4 + 3 * 10 + 4 * 6 + 3 * 2 = 0 + 2 + 8 + 30 + 24 + 6 = 70\)

Step 2: Divide the sum from Step 1 by the number of students (25):

70 / 25 = 2.8

So the sample mean X = 2.8

(b) The sample standard deviation s can be calculated using the formula:

\(s = \sqrt{\frac{ \sum(X - X_{mean})^2}{(n-1)} }\)

Where \(X_{mean}\) is the sample mean, n is the sample size, and Σ represents the sum of all values.

Step 1: Calculate \((X - X_{mean})^2\)for each data point and sum up the values:

\((0 - 2.8)^2 * 1 + (1 - 2.8)^2 * 2 + (2 - 2.8)^2 * 4 + (3 - 2.8)^2 * 10 + (4 - 2.8)^2 * 6 + (3 - 2.8)^2 * 2\\ = 7.84 + 3.24 + 0.64 + 9.6 + 1.44 + 7.84\\ = 31.36\)

Step 2: Divide the sum from Step 1 by (n - 1) = 24:

31.36 / 24 = 1.31

Step 3: Take the square root of the result from Step 2:

\(\sqrt{1.31} = 1.15\)

So the approximate sample standard deviation s = 1.15 (rounded to two decimal places).

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Answer:

B

Step-by-step explanation:

500 x 6 = 3000

154 x 6 = 924

Hope that helps!

The values that should be added in the steam are 6, 4, 3, 2 , 1 while those in the leaves section are 6 7 / 2 3 4 4 6 6 / 0 4 5 5 7 8 9 9 / 1 3 7 8 8 9 / 9.

To construct a stem-and-leaf plot for the given data, we separate each value into a stem and a leaf. The stem represents the tens digit, and the leaf represents the ones digit.

Moreover, based on the graph the distribution appears to be skewed to the right (positively skewed). The majority of the ages are concentrated in the higher range, with a few lower values.

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Answer:

a) 73, 82, 91

b) arithmetic

Step-by-step explanation:

a) We add 9 after each term, making the common difference 9.

As such, 64 + 9 = 73

73 + 9 = 82

82 + 9 = 91

b) This sequence is arithmetic because it has a common difference, if it had a common ratio, it would be geometric.

\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

Answer:

Sum = 2,340°

Step-by-step explanation:

Sum  of interior angles = 180·(n-2),

where n is the number of sides the polygon has

Sum = 180·(15-2)

Sum = 180·13

Sum = 2,340°

Answer:

36x^2+gy^2-324=0

Step-by-step explanation:

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

I Think its 81.68141

Answer:

28

Step-by-step explanation:

1 in.=3.5

so 8×3.5=28

so it is 28 miles

Answer:

\(f=-18a^2+3\)

Step-by-step explanation:

Given equation:

\(f=3-2(3a)^2\)

\(\textsf{Apply exponent rule} \quad (ab)^n=a^n b^n:\)

\(\implies f=3-2(3^2a^2)\)

Rewrite 3² as 9:

\(\implies f=3-2(9a^2)\)

Remove the parentheses:

\(\implies f=3-2 \cdot 9a^2\)

Multiply the numbers 2 · 9 = 18 :

\(\implies f=3-18a^2\)

Rearrange to make the variable the first term:

\(\implies f=-18a^2+3\)

Answer:

 −6x³ − 6x; is a polynomial

Explanation:

               [ open brackets ]

                [ group terms ]

              [ final answer ]

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The correct option is A, − 6x³ − 6x; is a polynomial.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The given expression can be simplified as shown below.

(4x³ + 3x² − 6x) − (10x³ + 3x²)

Open both brackets, this will change the sign of the terms in the second bracket.

= 4x³ + 3x² − 6x − 10x³ − 3x²

Bring the like terms, together to simplify the like terms,

= 4x³ − 10x³ + 3x² − 3x² − 6x

Simplify the like terms,

= − 6x³ − 6x

A polynomial is a mathematical expression involving variables raised with non-negative integers and coefficients, and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved. Therefore, − 6x³ − 6x is polynomial.

Hence, the correct simplification of the expression (4x³ + 3x² − 6x) − (10x³ + 3x²) is − 6x³ − 6x, and it is a polynomial.

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

with what

Step-by-step explanation:

ask your teacher

Answer:

85

Step-by-step explanation:

add 4 values, excluding 72 (lowest grade)

total = 339

average = 330/4 = 84.75

84.75 rounding to nearest integer is 85

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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Answer:

y = 1/4x + 3

Step-by-step explanation:

lmk if you want an explanation

In general, there were more people per table on Tuesday with 8 number of people per table.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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Answer: 8 to the power of 63

Step-by-step explanation:

you take (8 to the power of 9) to the power of 7! you take the 2 powers and multiply 9x7=63 So it equals 8 to the power of 63

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

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The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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A scatter plot is used to determine whether there is a relationship or not between paired data.

y tends to decrease as x increases, x and y are said to have a negative correlation

However, the points shown cannot be modeled with a linear function reliably.

What sequence of transformation are we applying

Answer:

\(a=4.1\)

Step-by-step explanation:

The Law of Cosines is given as:

\(a^2=c^2+b^2-2cb\cos A\).

Plugging in given values, we get:

\(a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}\).

Answer:

The answer for Acellus people is a=4.1

Step-by-step explanation:

Answer:

ask your teacher so you can get better grades

Answer: 10x + 20

Step-by-step explanation:

10 (x + 2)

Distribute

10x + 20

Answer:

10x + 20

Step-by-step explanation:

10(x + 2)

distribute

10 * x + 10 * 2

10x + 10 * 2

10x + 20

We are given the probability in the table (P(x)) and we are asked the probability that a physics major will do postgraduate research for at most three years (P (x ≤ 3)).

In this case, we can add the probabilities from year 1 until year 3 and solve:

Answer: 0.75