there are 6 balls in a box - 2 white and 4 black. if we select three balls, what is the probability of selecting exactly one white one?

no is not a parrel is a standard line

Answer: No

Step-by-step explanation: Parallel lines have the same slope but different y-intercepts. By using the table, we find out that the slope of the second line is 1/2. the slope of the first one is -1/2 so they are not the same.

The point B'' after the transformation is (-4, 13).

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

A figure when undergoes reflection becomes it's mirror image.

A point (x, y) after a reflection across the line y = -x is (-y, -x).

Given point is B(-8, 3).

After the reflection, it changes to B'(-3, 8).

Then the point undergoes translation by (-1, 5).

B'(-3, 8) is translated to B''(-3 - 1, 8 + 5) = B''(-4, 13).

Hence the point B(-8, 3) after the reflection and translation gives the point B''(-4, 13).

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The correct answer is B) the graph of g is a 1/3 horizontal shrink of the graph of f.

A mathematical transformation is the movement of a geometric object or function from one space to another. This new space may be a new quadrant in a Cartesian coordinate system, or it could be a whole new plane or number set. When we translate, we move a figure in any direction. When we flip a figure over a line, we call this reflection. When we rotate a figure a given amount around a point, we call this rotation. Transformations are classified into four types: translation, rotation, reflection, and dilation. Rotation, translation, and reflection are examples of stiff transformations.

Here,

The function g(x) = f(3x) is defined as the transformation of f(x) by replacing x with 3x in the argument of f. This means that each x-value of f(x) is replaced with 3 times its original value in g(x). As a result, the graph of g(x) will be a horizontal shrink of the graph of f(x) by a factor of 1/3. The horizontal axis will be compressed, making the graph appear narrower than the graph of f(x).

The correct answer is B) the graph of g is a horizontal shrink of the graph of f by a factor of 1/3.

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From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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Yes, the data provided can be used to provide convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84.

To determine if the data provides convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84, we need to perform a hypothesis test. Here is the basic process:

State the null and alternative hypotheses:

Null Hypothesis: The true proportion of teens who think highly of their mother is equal to 0.84 (p = 0.84)

Alternative Hypothesis: The true proportion of teens who think highly of their mother is greater than 0.84 (p > 0.84)

Select the level of significance: A commonly used level of significance is 0.05, meaning that we are willing to accept a 5% chance of making a type I error (rejecting the null hypothesis when it is true).

Compute the test statistic and p-value: The test statistic is the z-score and can be calculated using the formula:

z = (x - p) / sqrt(p(1-p) / n)

where x = number of positive responses in the sample = 135

p = proportion claimed in the statement = 0.84

n = sample size = 150

Make a decision: Compare the calculated p-value with the level of significance. If the p-value is less than the level of significance (0.05), reject the null hypothesis. If the p-value is greater than the level of significance, fail to reject the null hypothesis.

Draw a conclusion: If the null hypothesis is rejected, conclude that the data provides convincing evidence that the true proportion of teens who think highly of their mother is greater than 0.84. If the null hypothesis is not rejected, conclude that the data does not provide convincing evidence that the true proportion is greater than 0.84.

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Answer:

[tex]\frac{7}{20}[/tex] = [tex]\frac{14}{40}[/tex]

Step-by-step explanation:

We know

Joe can eat 7 hot dogs in 20 minutes.

How long would it take him to eat 14 hot dogs?

We see that the number of hot dogs is now doubled, so we double the 20 minutes too.

So, the answer is

[tex]\frac{7}{20}[/tex] = [tex]\frac{14}{40}[/tex]

The population of Pakistan is calculated as; 1.82 × 10⁸

The parameters for the population are;

Japan Population; J = 1.30 × 10⁸

Brazil Population; B = 1.95 × 10⁸

Now, the ratio of J:B = x : x + 5

Thus;

(1.30 × 10⁸)/(1.95) × 10⁸ = x/(x + 5)

Solving this gives x = 10

Now, we are told that;

J:P = x : x + 4

Where P is pakistan population

Thus;

(1.30 × 10⁸)/P = 10/(10 + 4)

(1.30 × 10⁸)/P = 10/14

P = 14(1.30 × 10⁸)/10

P = 1.82 × 10⁸

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The volume of this cylinder is equal to 675 cm².

Mathematically, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

Substituting the given parameters into the volume of a cylinder formula, we have the following;

Volume of a cylinder, V = πr²h

Volume of a cylinder, V = 3 × 5² × 9

Volume of a cylinder, V = 3 × 25 × 9

Volume of a cylinder, V = 675 cm².

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Answer:4.62x10^13

Step-by-step explanation:

As variability shows the degree to which a particular score (or set of scores) accurately captures the distribution as a whole, it plays a significant role in sampling.

The sampling variability is the degree to which estimates vary among samples. The range is another word for "variability," and it describes how different samples have different ranges of results.

A sampling error is a phrase that's similar to, almost a synonym for, an error. An error in sampling is a measurement of how far a value deviates from its "true" value rather than an error itself. The various inaccuracies are a reflection of the sampling variability or variation between your samples.

The variability of samples fluctuates as sample sizes are raised or lowered. The sample size that will provide you with reliable estimates of the sample mean, variance, and other statistics is not the "ideal" sample size. Instead, you use your best estimation, which is based on accepted statistical practices.

Estimates will typically vary from sample to sample and are unlikely to ever completely match the population parameter.

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The answer that gives the best estimate for the number of hours she worked that week would be = 11.25x+30=159.5

The normal amount she earns per hour in a week = $11.25 per hour.

The extra cash she earned during the week = $30

The total amount she received during the week = $159.50

Let the number of hours she worked = X

Therefore, 11.25x+30=159.5 show the number of hour she worked per week.

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Complete question:

Jovana makes $11.25 per hour at her part-time job. During one week, she also earned $30 in tip money, and her final pay for the week was $159.50. Which answer gives the best estimate for the number of hours she worked that week?

11.25+30=159.5x

11.25x + 30x=159.5

11.25x+30=159.5

11.25x+30=159.5x

To solve logarithmic equations with multiple bases, transform them to logarithms with a single basis and then isolate the variable using logarithmic characteristics.

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. An equation is made up of multiple components, including words, coefficients, exponents, arithmetic operators, equal signs, and constants.

Here,

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The solution of the equations are as follows:

A. x = 11

B. No solution

C. Many solution

D. x = 0

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

The solution of the following variables can be found as follows:

A variable is a number represented with letter in an equation. Hence, let's find the variables of the equations.

x - 4 = 1 / 2 (x + 3)

x - 4 = 1 / 2 x + 3 / 2

x - 1 / 2x = 3 / 2 + 4

1 / 2 x = 11 / 2

cross multiply

2x = 22

x = 22 / 2

x = 11

-4x = 1 / 2 (-8x + 2)

-4x = -4x + 1

-4x + 4x = 1

0 = 1

No solution

3 - 2(-3x + 1) = 6x + 1

3 + 6x - 2 = 6x + 1

1 + 6x = 6x = 1

1 - 1 = 6x - 6x

0 = 0

Many solutions

0.5(x + 3) = -3(x - 0.5)

0.5x + 1.5 = -3x + 1.5

0.5x + 3x = 1.5 - 1.5

3.5x = 0

x = 0

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The probability of choosing a three digit number whose sum is 3 is given by the equation P = 0.00666

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of three digits number be represented as n

Let the probability of choosing a three digit number whose sum is 3 be P

Now , the number of three digits number whose sum is 3 is given by set A

Set A = { 102 , 120 , 111 , 201 , 210 , 300 }

Now , the total number of 3 digits numbers is n = 900

So , the probability of choosing a three digit number whose sum is 3 P = number of three digits number whose sum is 3 / total number of 3 digits numbers

The probability P = 6/900

On simplifying the equation , we get

The probability P = 1/150

The probability P = 0.00666

Hence , the probability is P = 0.00666

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Answer:

x=2

Step-by-step explanation:

vertical line so X is the same regardless Y values

so x=2

Answer: x=2

Step-by-step explanation:

Lama paid $3,510 to Social Security and Medicare in 1990.

Earnings typically refer to the salary or wages received by an employee for their labor. It can also include bonuses, commission, and other forms of compensation.

Since Lama's earnings were below the threshold of $52,000, the 7.8% rate applied to all of her earnings. To calculate the amount she paid to Social Security and Medicare, multiply her earnings by the rate:

$45,000 x 7.8% = $3,510

So, Lama paid $3,510 to Social Security and Medicare in 1990.

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6.08 ounces of Ceylon tea and 1.92 ounces of Formosa tea must be mixed to produce a mixture of 8 oz worth $1.62/oz.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

Ceylon tea = x

Cost = $1.50

Formosa tea = y

Cost = $2

Now,

To produce a mixture of 8 oz worth $1.62/oz.

We can make two equations:

x + y = 8 _____(1)

1.50x + 2y = 12.96 ______(2)

From (1),

x = 8 - y

Substituting in (2).

1.50x + 2y = 12.96

1.50 (8 - y) + 2y = 12.96

12 - 1.50y + 2y = 12.96

0.50y = 12.96 - 12

y = 0.96/0.50

y = 1.92

And,

x = 8 - 1.92

x = 6.08

Thus,

6.08 ounces of Ceylon tea.

1.92 ounces of Formosa tea.

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The cost of each shirt Bobby and Davonte bought if they both spent $145.20 on 11 shirts is $13.2

Total number of shirts bobby and Davonte bought = 11

Amount Bobby spent on shirts= $92.40

Amount Davonte spent on shirts= $52.80

Total amount both spent= $92.40 + $52.80

= $145.20

Cost of each shirt= Total amount both spent / Total number of shirts bobby and Davonte bought

= $145.20 / 11

= $13.2

Therefore, each shirt Bobby and Davonte bought cost $13.2

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The time it takes for gaussian elimination to work on a system of equations is directly related to the number of equations in the system.

Gaussian elimination is a method used in linear algebra to solve systems of linear equations. It involves manipulating the coefficients of the equations in a specific way so that the solution is easier to find.

When comparing a system of 1000 equations to a system of 500 equations, the time it takes for gaussian elimination to work on the larger system is significantly longer.

This is because the number of operations required to solve the system increases as the size of the system increases.

To be more specific, the number of operations required for gaussian elimination is proportional to the square of the number of equations in the system.

This means that if a system of 500 equations requires 1000 operations, a system of 1000 equations would require 2000 operations.

So, we can expect gaussian elimination to take about twice as long to work on a system of 1000 equations compared to a system of 500 equations.

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Answer:16

Step-by-step explanation:

The angle measure of n is 74°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

An irregular pentagon is shown below.

The sum of the exterior angles of a polygon is 360°.

So,

n + 72 + 39 + 85 + 90 = 360

n = 360 - 286

n = 74°

Therefore, the angle measure of n is 74°.

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The ratio of 6:8 in the simplest form is 3:4. The result is obtained by dividing the ratio by the same number.

A ratio is a comparison between two quantities with the same units. The ratio is generally expressed as

a:b (read: a is to be)

Where

The antecedent and consequent of ratio can be multiplied or divided by the same number. It will make the same value of the ratio. The simplest form of the ratio is when the antecedent and consequent cannot be divided by any positif whole number anymore.

We have 6:8. Find the simplest form!

6 and 8 can be divided by 2.

6:8 = 6/2 : 8/2

6:8 = 3:4

Hence, the simplest form of the expression 6:8 is 3:4.

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Answer:

see below

Step-by-step explanation:

15:25 divide each side by 5 & get 3:5

3+5 =8 so basically it's like 8 slices of pizza, girls get 3 slices, boys get 5,  

now we split the money.  640/8=80, so

girls get 3 x80 = 240

boys get 5x80 = 400

The maximum probability of victory in this scenario is 50%.

Each player has an equal chance of rolling any number from 1 to 6, so the probability of rolling a specific number is 1/6.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Since the players cannot see their own outcome but can see the outcome of the other player, they must guess their own roll based on the observed roll of the other player. If the two players roll different numbers, one of them will have the correct guess, and their probability of winning is 1/6.

If the two players roll the same number, then both players have the same information and the probability of either player winning is still 1/6.

The maximum probability of victory is (1/6) + (1/6) = 1/3 + 1/3 = 2/3 = 50%.

Therefore, the probability is 50%.

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The price of a good decreases, the quantity demanded of those good increases. The downward slope of the demand curve reflects the law of demand, which states that people will buy more of a good when its price falls and less when its price rises.

The demand curve is a graphical representation of this relationship and shows the quantity of a good that consumers are willing and able to purchase at different prices.

An indifference bow is a graphical representation of different combinations or consumption bundles of two commodities. It issues equivalent satisfaction and utility levels for the consumer.

It makes the consumer indifferent to any of the union of goods shown as points on the curve. Also, it means the consumer cannot prefer one bundle over another on the same graph.

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When, he has 106 pieces of candy and wants to use them all 9 red bags can he make.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

a blue bag contains 7 pieces of candy while a red bag contains 13 pieces of candy.

if he has 106 pieces of candy.

red bags can he make = 106/13

                                      =8+ remainder 2

so, if he wants to use all in red bag,

then he has to make red bag = 8+1

                                                 =9 bags

Hence, if he has 106 pieces of candy and wants to use them all 9 red bags can he make.

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290 people Apple wants to visit the store every day after Layla’s marketing campaign.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Apple wants to increase the number of people who enter in stores in London every day,

let X be Apple’s target amount of people,

380 is double the difference between, the target amount of people which apple wants to visit the store every day and 100

difference between the target amount of people and 100 is

X - 100

double the equation = 2(X - 100)

the equation is equal to 380

2(X - 100) = 380

divide both sides by 2

X - 100 = 380/2

X - 100 = 190

X = 190 + 100

x  = 290

Hence  Apple’s target amount of people is 290.

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Answer:

One time I was challenged by a math assignment was when I was performing rotations, and reflections. It was confusing to know what coordinates needed to change based on  each rule. After studying and asking for help, I was able to complete this assignment. At time, I thought I didn't know enough to complete the assignment, but I am happy to say that I improved. Working through your problems can help you succeed and have more confidence in yourself as a student.