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Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.

The relative frequency in this regard is 1/3.

The number of times it will occur can be found as:

= Relative frequency x Number of times event was performed

Solving gives:

= 1/ 3 x 30

= 10 times

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The dollar amount collected by the box office if all the seats are sold for one concert is 29400.

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.  An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

We have been given the following parameters;

\(a_1\) = 20

d = 2

n = 30

L = \(a_1\) + (n - 1)d

L = 20 + (30 - 1)2

L = 20 + 58

L = 78

Now we have to find the sum of the first row to the 30th row;

Sum = (\(a_1\)+ 78)(30)/2

Sum = (20 + 78)30/2

Sum = 98 x 15

Sum = 1470

The amount = 20 x 1470 = 29400

The dollar amount collected by the box office if all the seats are sold for one concert is 29400.

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Answer:

8

Step-by-step explanation:

8

Answer:

B

Step-by-step explanation:

2x=16

16/2=8

Answer is 8

The value of $100 in euros is $87.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Worth of 1 United States dollar is $0.87 in euros.

To find the value of $100 in Euros, use ratio property,

1 United States dollar = $0.87 in euros

100 United States dollar = $87 in euros.

The value of $100 in euros is $87.

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Step-by-step explanation:

i=prt

t=i÷pr

..

..

..

..

..

..

To make the function continuous on the interval (-infinity,infinity), we need to make sure that the two expressions for f(x) match at x=7. In other words, we need to have:

lim as x approaches 7 from the left of f(x) = lim as x approaches 7 from the right of f(x)

Using the given expressions for f(x), we can calculate these limits as:

lim as x approaches 7^- of f(x) = lim as x approaches 7^- of (cx+8) = 7c + 8
lim as x approaches 7^+ of f(x) = lim as x approaches 7^+ of (cx^2-8) = c(7^2)-8 = 49c - 8

Setting these equal to each other and solving for c, we get:

7c + 8 = 49c - 8
56c = 16
c = 2/7

Therefore, the value of the constant c that makes the function continuous on (-infinity,infinity) is c = 2/7.

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The Pearson correlation coefficient can be used as both a descriptive statistic and an inferential statistic.

As a descriptive statistic, the Pearson correlation coefficient describes the strength and direction of the linear relationship between two variables. It provides a numerical measure between -1 and 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

As an inferential statistic, the Pearson correlation coefficient can be used to test hypotheses and make inferences about the population correlation based on a sample. Hypothesis testing allows you to determine whether the observed correlation in the sample is statistically significant or occurred by chance. By examining the p-value associated with the correlation coefficient, you can make inferences about the strength of the relationship in the population.

Therefore, the correct answer is that the Pearson correlation coefficient can be used as both a descriptive and an inferential statistic.

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Answer:

Product Review

Step-by-step explanation:

A product is the end result of a well-organized process or program. The end outcome is the product.

A product review is a report about a product that often outlines the product's merits and flaws.

Answer:

1. 24  2. 65  3. 6.5

Step-by-step explanation:

1. You break it in half and do the algortim bxh/2 . First would be 4x2/2 is 4 and 4x10/2 is 20. Add them and you get 24.

2. This would have 3 parts, 2 triangles and 1 square. the square would be 6x5 which is 30. the 2 triangles will be the same area so to find out what to divide 5 by, you would do 13-6= 7. 7x5=35 which will equal both triangles. 30+35=65

3.  bxh/2  so 4x3.25 is 13 and that /2 is 6.5

Answer:

B. 1-third

Step-by-step explanation:

The formula for probability = Number of favorable outcomes/ Total number of outcomes

From the question, we are told that:

Owen knows he only has three pencils in his backpack, and they are all yellow. Hence, total number of outcomes = 3

He reaches into his backpack without looking and takes out a pencil.

Hence, total number of favorable outcomes = 1

What is the probability that the pencil was yellow?

Probability ( That the pencil is yellow) =

Number of favorable outcomes/ Total number of outcomes

= 1/3

Therefore, the probability that the pencil was yellow is 1/3 or one - thirds

So the right answer is 1.8

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

Answer:

3/20

Step-by-step explanation:

1/1-1/4-3/5= (money spent)

1×4×5/(1×4×5)-1×1×5/(1×4×5)-3×1×4/(1×4×5)

20/20-5/20-12/20

(20-5-12)/20=3/20

Answer:

$y - $0.85

Step-by-step explanation:

y represents how much money he had.

\(\frac{3}{5}+\frac{1}{4} =\frac{17}{20}\)

$y - $0.85

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

The solution to the absolute value equation 2|x + 8| - 4 = 16 is x = 2 or x = -18

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

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the equation:

2|x + 8| - 4 = 16

2|x + 8| = 20

|x + 8| = 10

x + 8 = 10 or -(x + 8) = 10

x = 2 or x = -18

The solution to the absolute value equation 2|x + 8| - 4 = 16 is x = 2 or x = -18

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A. (left-truncatable-prime? p) procedure:

(define (is-prime? n)

(define (divides? a b)

(= (remainder b a) 0))

(define (iter i)

(cond ((> i (sqrt n)) #t)

((divides? i n) #f)

(else (iter (+ i 1)))))

(iter 2))

(define (left-truncatable-prime? p)

(define (truncate n)

(if (< n 10)

n

(truncate (quotient n 10))))

(define (iter n)

(if (<= n 10)

(is-prime? p)

(and (is-prime? n) (iter (truncate n)))))

(iter p))

B. (nth-left-trunc-prime n) procedure:

(define (nth-left-trunc-prime n)

(define (find-trunc-prime i p)

(cond ((= i n) p)

((left-truncatable-prime? (+ p 1)) (find-trunc-prime (+ i 1) (+ p 1)))

(else (find-trunc-prime i (+ p 1)))))

(find-trunc-prime 1 7)) ; start at 7 because it is the first left-truncatable prime.

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Distribution table for the question is attached below :

Answer:

0.533

Step-by-step explanation:

Let :

M = math

D = Drama

Probability that a randomly chosen student takes math or drama ; P(M u D)

Recall:

P(A u B) = p(A) + p(B) - p(A n B)

P(M u D) =  p(M) + p(D) - p(M n D)

Probability = required outcome / Total possible outcomes

From the table :

P(M) = 119 / 302

P(D) = 67 / 302

P(M n D) = 25 / 302

Therefore,

P(M u D) = 119/302 + 67/302 - 25/302

P(M u D) = (119 + 67 - 25) / 302

P(M u D) = 161 / 302

P(M u D) = 0.5331125

P(M u D) = 0.533 ( 3 decimal places)

Answer:

A

D

Step-by-step explanation:

Answer:

●A. (4x + 16)° = 180°

○B. x° = 49°

○C. m<A = 99°

● D. From smallest to largest: <B, <C, <A

The answers are both A and D.

Answer:

\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)

Step-by-step explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)

Answer:

The new probability of drawing a red marble is ()=.  

Step-by-step explanation:

The sample space change. Each event within the sample space change. The probability of each event changes.

The first ordered pair is (850, 162.65), indicating that at a price of $162.65 per ounce, the daily demand of Virbog is 850 ounces. The second ordered pair is (1450, 132.05), indicating that at a price of $132.05 per ounce, the daily demand of Virbog is 1450 ounces.

These ordered pairs represent the relationship between the quantity demanded and the price per ounce of Virbog. It shows how the demand for Virbog changes with respect to its price.

The first ordered pair indicates that as the price per ounce increases to $162.65, the quantity demanded decreases to 850 ounces. The second ordered pair indicates that as the price per ounce decreases to $132.05, the quantity demanded increases to 1450 ounces. This information can be used to analyze the demand curve for Virbog and study its price elasticity.


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Answer:

C

Step-by-step explanation:

Using the addition formula for sine

sin(a - b) = sinacosb - cosasinb , then

sin(θ - 270)

= sinθcos270 - cosθsin270

= sinθ(0) - cosθ(- 1)

= 0 - (- cosθ )

= cosθ → C

Answer:

242/48

Step-by-step explanation:

tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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In the context of the given information, the value 0.229 represents the p-value.

The p-value is a measure of the strength of evidence against the null hypothesis in a statistical test. It indicates the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the data, assuming that the null hypothesis is true.

In this case, with a main effect F statistic of 1.67 and degrees of freedom (1,9), the p-value of 0.229 suggests that there is a 22.9% chance of obtaining a test statistic as extreme as the one observed, or more extreme, under the assumption that the null hypothesis is true.

A p-value greater than the chosen level of significance (typically 0.05) indicates that the evidence against the null hypothesis is not strong enough to reject it. Therefore, in this scenario, where the p-value is 0.229, we would not have sufficient evidence to reject the null hypothesis at a significance level of 0.05.

In summary, the value 0.229 represents the p-value, which indicates the strength of evidence against the null hypothesis in the main effect F test.

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Answer:

B.

Step-by-step explanation:

Because I know... trust me.

Answer: 16

Step-by-step explanation: In the Pythagorean theorem a^2 + b^2 = c^2, so 20^2 - 12^2 = b^2. Furthermore square root of 256 is our answer 16.

As per the given values, the hat costs AED 15, shirt cost AED  25, and jacket costs AED 45

Let the value of hats be = x

Let the value of shirts be = y

Let the value of jackets be = z

As per the values, the equations will be -

Set 1: 3x+2y+z=140

Set 2: 2x+2y+2z=170

Set 3: x+3y+2z=180

Reducing the equations by eliminating z to find the cost -

Set 1 - (Set 2)/2, which gives 2x + y = 55 ( Combo 1)

Set 3 - Set 2, which gives -x + y = 10 ( Combo 2)

Similarly, Reducing the equations by eliminating y-

Combo 1 - Combo 2 -

3x = 45

x = 15 ( Hats)

Substituting x = 15 into equations -

-15 + y = 10

y = 25 ( Shirt)

x = 15 and y = 25

Substituting both x and y -

= 3(15) + 2( 25) + z = 140

45 + 50 + z = 140

95 + z = 140

z = 45 ( Jacket)

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