A die is rolled 360 times. Find the standard deviation for the number of 3s that will be rolled. A) 60 B) 50 C) 7.1 D) 5.9

Answer:

The percent error of the measurement is 6.7%

Step-by-step explanation:

The percent error of a measurement is a measure of how accurate the measurement is compared to the actual value. It is calculated using the following formula:

percent error = (measured value - actual value) / actual value * 100%

In this case, the measured value is 1.4 inches and the actual value is 1.5 inches. Plugging these values into the formula, we get:

percent error = (1.4 - 1.5) / 1.5 * 100% = -0.1 / 1.5 * 100% = -6.67%

This means that the measurement was off by 6.7% compared to the actual value.

It's important to note that a negative percent error indicates that the measured value is less than the actual value, while a positive percent error indicates that the measured value is greater than the actual value. In this case, the measured value of 1.4 inches is less than the actual value of 1.5 inches, so the percent error comes out to be negative.

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The radical form of the number √ ( - 27 ) is given by the equation A = 3i√3

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as n

The value of n = √( -27 )

Now , the value -1 can be represented as the complex number i

where i² = 1

So , the number n can be written as

A = √ ( 3i )² 3

A = √9i² (3)

A = √27i²

A = √-27

On simplifying the equation , we get

A = 3i√3

Therefore , the value of A is A = 3i√3

Hence , the equation is A = 3i√3

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Yes, the base angles of an isosceles triangle are equal to each other.

The base angles of an isosceles triangle are equal because of the symmetry of the triangle. In an isosceles triangle, the two sides that are opposite the congruent angles are also congruent in length. This means that the triangle has a line of symmetry, or a line that divides it into two congruent halves. Since the triangle is symmetrical, the base angles are equal in measure.

Another way to understand why the base angles of an isosceles triangle are equal is to consider the definition of an isosceles triangle. An isosceles triangle is defined as a triangle with at least two congruent sides. Since the base angles are opposite the congruent sides, they must also be congruent. Therefore, the base angles of an isosceles triangle are equal.

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yes , base angles of isosceles triangle are equal 1 because An isosceles triangle is a triangle with two sides of equal length and the base angles of the isosceles triangle are equal in length.

The sides of equal length are called the legs of the triangle, and the third side is called the base. The base angles of an isosceles triangle are the angles formed by the base and the legs of the triangle. Since the base angles are formed by the base and the legs of the triangle, which are both congruent (i.e., have the same length), the base angles must also be congruent. In other words, the base angles of an isosceles triangle are equal.

The vertex angle of an isosceles triangle is the angle formed by the two legs at the apex of the triangle. This angle is always larger than the base angles, and its measure is equal to the sum of the measures of the base angles. For example, if the base angles of an isosceles triangle have a measure of 45 degrees each, the vertex angle will have a measure of 90 degrees (45 + 45). In summary, the base angles of an isosceles triangle are congruent and equal, and the vertex angle is larger than the base angles and is equal to the sum of the measures of the base angles.

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Answer: 8/5

Step-by-step explanation:

2/5 * 4 = (2*4)/5 = 8/5

Answer:

1/10

Step-by-step explanation:

2/5÷1/4=2/5×4/1=2/5×4/1=1/10

Answer:

Step-by-step explanation:

y - 1 = 1/5(x - 5)

y = 1/5x - 1 + 1

Y = 1/5x

The equation of the line is x-5y=0

The point given =(5,1)

slope of the line=1/5

The equation of a line when a point in the line and its slope is given is given by

y-y₁=m(x-x₁)

y-1=(1/5)(x-5)

5y-5=x-5

x-5y=0

The equation of the line is x-5y=0

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The fraction of the total amount of ingredients is neither fruit nor yogurt is given as follows:

0.

The fraction is used applying the proportions in the context of this problem, which represent a fraction of a total amount.

The total fraction of all the ingredients is given as follows:

100% = 1.

The ingredients, along with their fractions, are given as follows:

Hence the percentage composed by fruit or yogurt is given as follows:

2/3 + 1/3 = 3/3 = 1 = 100%.

Hence 0% is composed by neither fruit nor yogurt, hence the fraction is also of zero.

(as the entirety of the recipe is composed by either fruits or yogurts, as obtained above).

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The probability that Sumit actually saw a shark is 1/36.

The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the question, we can say

Let us assume that Sumit has actually seen 1 creature.

The probability that it is a Shark and Sumit reports it correctly = (1/8)(1/6) = (1/48)

The probability that it is not a Shark and Sumit claims that it is = (7/8)(5/6) = (35/48)

Therefore,

The probability that Sumit actually sees a Shark, given that he claimed to have seen one = [(1/8)(1/6)] / [(1/8)(1/6) + (7/8)(5/6)] = 1/36

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Equation: x³-4x² - 5x = 0 and value of x =  0, 5, - 1. This can be solved the concept of factorization.

The breaking or breakdown of an entity (such as an integer, a matrix, or even a polynomial) into such a combination of some other unit, or factors, whose multiplication yields the original number, matrix, etc., is known as factorization or factoring in mathematics.

Similarly to this, factoring is a very useful technique in algebra that is utilized at all levels. Additionally, to, of course, simplify complex expressions, it offers a standard way for solving quadratic equations. Graphing functions also makes advantage of it.

Factor the expression, put each factor equal to 0, and then solve each equation to solve a quadratic equation by factoring. To do this, rearrange all terms on one side of the equation such the other side equals 0.

x³-4x² - 5x = 0

or, x (x² - 4x - 5) = 0

or, x (x² -5x +x - 5) = 0

or, x [x (x - 5) + 1 (x - 5)] = 0

or, x (x - 5) (x + 1) = 0

thus, value of x = 0, 5, - 1.

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The Functions are f(g(x)) = 3773 x⁷ and f o g⁻¹(x) = 11/ 343 * x ⁶/⁷.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range and a co-domain.

Given two function

f(x) = 11 x³

g(x) = 7 [tex]x^{7/3}[/tex]

(f g)x = f of g(x)

f(g(x)) = 11* (7 [tex]x^{7/3}[/tex])³

f(g(x)) = 3773 x⁷

g⁻¹(x) = 1/7 * x³/⁷

(f/g)x = f o g⁻¹(x)

f o g⁻¹(x) = 11/ 343 * x ⁶/⁷

for the -8 value of x

f(g(x)) = 3773 (-8)⁷

f o g⁻¹(x) = 11/ 343 * (-8 )⁶/⁷

Therefore, Functions are f(g(x)) = 3773 x⁷ and f o g⁻¹(x) = 11/ 343 * x ⁶/⁷.

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In the year 2009, the company's profit would be $6.95 million.

It should be noted that profit simply has to do with the gain that is made from the sales of a particular commodity.

In the year 2007, a company made $6 million in profit. For each consecutive year after that, their profit increased by 8%. Based on the question, we will like to know the would the company's profit be in the year 2009, to the nearest tenth of a million dollars.

The company's profit be in the year 2009, to the nearest tenth of a million dollars will be:

In the year 2008, the company made $6 million + 8% * $6 million = $6.48 million.

In the year 2009, the company made $6.48 million + 8% * $6.48 million = $6.95 million.

So in the year 2009, the company's profit would be $6.95 million, to the nearest tenth of a million dollars.

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Answer:

4.65 British pound sterling

Step-by-step explanation:

[tex]7.50*0.62 = 4.65[/tex]

7.5 U.S. dollars = 4.65 British pound sterling

A amount 1 ounce shot of whiskey contains 0.4 ounces of alcohol, a 5 ounce glass of wine has 0.75 ounces, and a 12 ounce beer has 1.5 ounces.

1 ounce shot of 80 proof whiskey:

0.4 ounces of alcohol = 40% alcohol * 1 ounce

= 0.4 ounces

5 ounce glass of wine:

0.75 ounces of alcohol = 12% alcohol * 5 ounces

= 0.6 ounces

12 ounce beer:

1.5 ounces of alcohol = 5% alcohol * 12 ounces

= 0.6 ounces

A 1 ounce shot of 80 proof whiskey contains 0.4 ounces of alcohol, which is 40% of the total volume. A 5 ounce glass of wine has 0.75 ounces of alcohol, which is 12% of the total volume. A 12 ounce beer has 1.5 ounces of alcohol, which is 5% of the total volume. Each of these drinks contains different amounts of alcohol, so it is important to know the strength of each drink in order to know how much alcohol is being consumed.

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The 1 ounce shot of 80 proof whiskey, a 5 ounce glass of wine, and a 12 ounce beer are same amount of alcohol  .

There are several types of liquor such as beer, wine, whiskey.

They have things in common such as  having natural products such as fruits, grains, or others. There is a determining factor that differentiates them is the percentage of alcohol present in it .

Drinks such as Whiskey have 40% alcohol. While others like beer have between 4% to 5% alcohol.

the percent of alcohol in wine is between 9 to 12% .

Therefore, In different amounts of different alcoholic beverages, we can have the same amount of alcohol.

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From the given option, equation y = (1/6)x describe a linear function. So the option b is correct.

In the given question, we have to find which equation describe a linear function.

As we know that,

In a graph, a linear function is one that generates a straight line. The degree of the polynomial function is often either maximum 1 or minimum 0. Despite the fact that both calculus and linear algebra can be used to express linear functions.

A function is denoted by the notation f(a), where an is an independent variable on which the function depends. The Linear Function Graph contains a straight line with the equation or formula;

y = ax + b

We we consider the options, in option a, s has power 2, in option c 2 has power x and in option d, π has power 2. So the option a, c and d is not correct option. So, only option b is correct.

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Linear functions are equations that can be represented in the form of a straight line. They can be expressed in the form of an equation, y = mx + b, where m is the slope of the line and b is the y-intercept.

A linear function can be used to calculate the output, y, for a given input, x. For example, let us consider the equation y = 3x + 4. We can interpret this equation to mean that for every increase in x, y will increase by 3. Thus, if x = 5, then y = 3x + 4 = 19.

In order to calculate y for a given value of x, we must first substitute the value of x in the equation. For example, if x = 7, then y = 3x + 4 = 25.

We can also calculate the slope of the line using the equation y = mx + b. The slope of a line, m, is the change in y divided by the change in x. To calculate the slope of a line, we can take two points on the line and calculate the change in y and the change in x. For example, let us take the points (7,25) and (5,19). The change in y is 25 - 19 = 6 and the change in x is 7 - 5 = 2. Therefore, the slope of the line is m = 6/2 = 3.

To summarize, a linear function can be expressed in the form of an equation, y = mx + b, where m is the slope of the line and b is the y-intercept. We can calculate the output, y, for a given input, x, by substituting the value of x into the equation. We can also calculate the slope of the line by taking two points on the line and calculating the change in y and the change in x.

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The following ratio can be completed as;

3 17

6 34

9 51

12 68

15 85

Let

The unknown number = x

3 : 17 = 6 : x

3/17 = 6/x

cross product

3 × x = 6 × 17

3x = 102

divide both sides by 3

x = 102/3

x = 34

So,

3 : 17 = 6 : 34

6 : 34 = 9 : x

6/34 = 9/x

cross product

6 × x = 9 × 34

6x = 306

divide both sides by 6

x = 306/6

x = 51

Therefore, ratio is the comparison between two or more numbers.

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Answer:

1)12+c

2)12-c

3)12/c

4)12c

Answer: DC

Step-by-step explanation: shortest angle is on the opposite side of the shortest side

The area of the shaded region of the circle with radius of 5 cm and sector with an angle of 60° is 76.3 cm²

The area of a part of a circle can be found by finding the difference between the area of the circle and the area of the unshaded part of the circle.

The triangle formed by the two radii of length 5 cm with an included angle of 60°, and the chord at the boundary of the shaded region is an isosceles triangle which with the vertex angle of 60°, indicates that the triangle is an equilateral triangle.

The formula for the area, A, of an equilateral triangle of side length s is; A = ((√3)/4) × s²

The side length of the equilateral triangle formed by the radii is; s = 5 cm

Therefore;

Area of the equilateral triangle in the question is; [tex]A_{\Delta}[/tex] = ((√3)/4) × 5²

Area of the minor sector formed by the two radii, [tex]A_{sector}[/tex] = (60°/360°) × π·r²

[tex]A_{sector}[/tex] = π×5²/6

The area of the shaded region = Area of the circle - [tex]A_{sector}[/tex] -  [tex]A_{\Delta}[/tex]

Therefore;

Area of the shaded region = π×5² - π×5²/6 - ((√3)/4) × 5² ≈ 76.3

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The graph of the inequality y > 1 - 3x is shown in figure.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The equation of inequality is,

⇒ y > 1 - 3x

Now,

Since, The inequality is,

⇒ y > 1 - 3x

Hence, The graph of inequality y > 1 - 3x is shown in image by shaded ''red region.''

Thus, The red region of the graph is shows the graph of inequality

y > 1 - 3x.

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Answer:

14125

Step-by-step explanation:

2,825x5=14125

Answer:

The amount paid in total was  £14125

Step-by-step explanation:

Population that went to the rugby match = 2825

Cost of 1 ticket = £5

Cost of 2825 tickets = 2825x5

=  £ 14125

Hence the amount paid in total was  £14125

The weight of the couch is 1150 N hence the  180 N can not be able to move it without assistance.

We know that the force has to do with that which is able to make an object to move. We know that the friction force is the force that tends to prevent the movement of a body.

However, in this case, the force that is applied must be greater than the frictional force that is acting on the object and as such the object can be made to move from one point to another as we can see in the question.

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Missing parts;

Danielle just moved into a new apartment and her couch was left by the entrance. The couch has a mass of 115 kg and wood feet. The entrance into the apartment has a smooth hardwood floor while the living room is carpeted (see following chart for coeffients of friction). Danielle initially tried pushing it by herself with a force of 180 N. Then her brother, Ramone, dropped by and helped. Together they were able to push the couch where she wanted it in the living room. Why could she not move the couch?

These system of equations has been solved graphically and their solution is equal to the ordered pair (-1, 7).

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 2x + 9     ........equation 1.

y = 6 - x       ........equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-1, 7).

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Answer: 11(4-0)

Step-by-step explanation: take 11 out of 44= 11(4

Take 11 out of 11= 11(4-0)

The percentage of people with a tablet that also have a smart-phone is given as follows:

28.8%.

Conditional probability is the probability of one event happening, considering the result of a previous event.

The formula is defined as follows, according to Bayes' Theorem:

[tex]P(B|A) = \frac{P(B) \times P(A|B)}{P(A)}[/tex]

In which the probabilities are defined as follows:

The events for this problem are given as follows:

Hence the probabilities are given as follows:

P(A) = 0.35, P(B) = 0.24, P(A|B) = 0.42.

Hence the conditional probability is of:

P(B|A) = 0.42 x 0.24/0.35 = 0.288.

Meaning that the percentage is of:

0.288 x 100% = 28.8%.

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d. The extra variability is caused by variations in the df value.

T-statistics are used to test hypotheses about the mean of a population when the standard deviation of the population is unknown and the sample size is small.

The t-distribution is similar to the standard normal distribution (z-distribution) but it has flatter tails and is more spread out. This extra spread is caused by the fact that the t-distribution is based on the sample size, which is reflected in the degrees of freedom (df) value.

The larger the sample size, the closer the t-distribution is to the standard normal distribution, and the more similar the t- and z- statistics will be.

In contrast to this, as the sample size decrease, the t-distribution becomes more spread out and t- statistics are therefore more variable than z-scores.

This increased spread means that t-statistics have a higher chance of falling into the tails of the distribution, which leads to a greater likelihood of a type I error (rejecting a true null hypothesis) or a lower power (failing to reject a false null hypothesis).

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Applying the same method is right. Δ ABC is right angle triangle.

the drop down menu

the statements are

[tex]4^2 \ is < 3^2 +3^2[/tex]

to prove that

the value of

[tex]4^{2}[/tex] is 16

the value of [tex]3^2[/tex] is 9

so the statement is

16 < 9+9

16 < 18

as given 16 is less than 18

therefore Δ JKL is an acute angled triangle

A triangle with acute interior angles is known as an acute angle triangle. Remember the angle is acute that is one that is less than 90 degrees.

By applying the same method

[tex]5^2 = 3^2 +4^2[/tex]

the value of  5 to the power 2 is

=> 25 = 9+16

=> 25 =25

we can say that the statement is true

at the same method Δ ABC is a right angled triangle

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we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.

52 - 32 = 20; △abc = 20

First, subtract the two numbers given in the statement: 42 - 32 = 10.

Next, apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20.

The answer for the first statement is then 10; △jkl = 10.

The answer for the second statement is then 20; △abc = 20.

To solve this problem, we must first subtract the two numbers given in the statement: 42 - 32 = 10. This is the answer for the first statement; △jkl = 10. We must then apply the same method to the second statement and subtract the two numbers: 52 - 32 = 20. This is the answer for the second statement; △abc = 20. Therefore, the answer to the question is that △jkl is 10 and △abc is 20. In order to determine this, we simply had to subtract the two numbers given in the statement and apply the same method to the second statement. This method allows us to easily solve problems such as these.

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The measure of angle ∠4 will be 76°. Then the correct option is C. The measure of angle ∠4 will be 104°. Then the correct option is D.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Alternate angle - If two lines are parallel then the third line will make z -an angle and z-angles equal angles with the parallel lines.

Angles ∠1 and ∠2 are the supplementary angle. Then the equation is given as,

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 165

x = 33

The measure of angle 1 is calculated as,

∠1 = 3(33) + 5

∠1 = 99 + 5

∠1 = 104

Then the measure of the angle 2 is given as,

104 + ∠2 = 180

∠2 = 76

Angle 4 and angle 2 are opposite angles. Then we have

∠4 = ∠2

∠4 = 76

Angle 1 and angle 3 are opposite angles. And angle 3 and angle 5 are alternate angles.

∠1 = ∠3

∠5 = ∠3

∠5 = 104

The measure of angle ∠4 will be 76°. Then the correct option is C. The measure of angle ∠4 will be 104°. Then the correct option is D.

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The percentage by mass of Na in the sample will be 60%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A 250 g sample is composed of 150 g of sodium (Na) and 100 g of chlorine (CI).

Then the percent by mass of Na in the sample will be given as,

P = (150 / 250) x 100

P = 0.60 x 100

P = 60%

The percentage by mass of Na in the sample will be 60%.

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The value of b in the expression b² = 225 is the square root of 225 which is 15.

Squares are the numbers gotten after multiplying a value by itself. While the square root of a number is a number whose square is the given number. Hence, both are vice versa methods.

We shall solve for the value of the letter b as follows;

b² = 225

by taking the square root of both sides we have;

√b² = √225

b = √(15 × 15)

b = √15²

b = 15

Therefore, the square of 15 will result to 225, and the value of the letter b is the square root of 225 which is 15.

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Answer:

Step-by-step explanation:

No, the parenthesis is not important. With or without them, they will equal the same thing, which is 3.