a bag contains 4 red marbles and 5 white marbles. two marbles are drawn in succession without replacement. find the probabilities of the following events:

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

The graph of the line y = 4x + 3 is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x + 3

When x = 0, y = 3

When x = 1, y = 4 + 3 = 7

When x = 2, y = 11

Similarly for negative x values, we get,

x = -1, y = -4 + 3 = -1

x = -2, y = -8 + 3 = -5

So on......

So we must get the following coordinates:

(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........

Thus,

The graph is shown below.

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Answer: 90,000,000 + 6,000,000 + 900,000 + 2,000 + 100 + 20 + 3

Step-by-step explanation: you add each one and get 96,902,123

The value of X is equals to 21,the largest angle in the triangle is ∠C, which measures 81°,BC is the shortest side.

In triangle ABC, we are given that ∠A measures 58°, ∠B measures (2x-1)°, and ∠C measures (4x-3)°. To find the value of x, we use the fact that the sum of the angles in a triangle is always 180 degrees. By adding the measures of the three angles, we obtain the equation 58 + (2x-1) + (4x-3) = 180. Simplifying the equation, we combine like terms and solve for x to find that x equals 21.

To determine the largest angle, we compare the measures of ∠A, ∠B, and ∠C. By substituting the value of x, we find that ∠A measures 58°, ∠B measures 41°, and ∠C measures 81°. Therefore, the largest angle in the triangle is ∠C, which measures 81°.

To identify the shortest side, we use the property that the smallest angle in a triangle is opposite the shortest side. In this case, ∠B measures 41°, making side BC the shortest side in triangle ABC.

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Answer:

y=2x

Step-by-step explanation:

As you can see in the picture, the y value is 2 times the x value.

The range of the absolute value function above include the following: C. f(x) < 1.

In Mathematics and Geometry, a range is the set of all real numbers that connects with the elements of a domain.

The vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can logically deduce the following domain and range:

Domain = [-∞, ∞]

Range = [-∞, 1] or {y | y < 1}.

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Complete Question:

What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

The area of the shaded region and round the answer to the nearest tenth is 32.97cm^2.

We are given that;

Radius of outer circle= 10inch

Radius of inner circle= 4inch

Angle= 45degree

Now,

Area of shaded region = area of outer region - area of inner region

Area of outer region= 3.14*10*10/8

=39.25

Area of inner region= 3.14*4*4/8

=6.28

Area= 39.25-6.28

=32.97

Therefore, by the given circle the answer will be 32.97cm^2.

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Answer:

$350 / 5 months = $70 per month

Answer:

5,000

Step-by-step explanation:

Answer:

Money spent on playstation games per week: =$8169861

Money spent on other video games per week: = $5542467

Step-by-step explanation:

Hi to answer this first, we have to calculate how much Americans spend on non Playstation video games. So, we have to subtract the money spent on Sony Playstation games to the total money spent:

$1958904.00-$1167123.00= 791781 on other video games per day

Now, since each week has 7 days. We have to multiply each daily amount by 7.

Money spent on playstation games per week: $1167123.00 x 7=8169861

Money spent on other video games per week: $791781 x 7= 5542467

As a fraction, length of the 15 rods = 8 4/7 feet

As decimal, length = 8.57 feet

initial length pipes = 4 feet

Dividing the length of the pipe into 7:

length of 15 of those rods:

Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

Answer:

She can refill 2 cages.

Step-by-step explanation:

Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.

Answer: she can fill 2 times the amount of cages she has.

say: x=the cages

so 2x/ 2 times of the cages

hope this helps! i tried :)

Answer: 11.33333333333333

The length of third side is 4 cm. This can be solved using the concept of right angled triangle.

Three straight sides and three angles make up a triangle, a two-dimensional form. Three vertices, three angles, and three sides define a triangle. In a triangle, the lengths of its two longest sides are always bigger than its third side's length.

A triangle seems to be a three-sided polygon with three vertices. There is a 180-degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.

Triangles can be categorized into one of three groups, namely Scalene, Isosceles, or Equilateral, depending on how long their sides are.

the triangle given is Right Angled Triangle because to find a third side provided two sides are given is only possible in a right angled triangle.

We know that the right-angled triangle follows Pythagoras Theorem

According to Pythagoras Theorem, the sum of squares of two sides is equal to the square of the third side:

(Perpendicular)² + (Base)² = (Hypotenuse)²

or, (2√3)² + (2)² = (Hypotenuse)²

or, 12 + 4 = (Hypotenuse)²

or, (Hypotenuse)² = 16

or, Hypotenuse = √16

or, Hypotenuse = 4 cm

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There are 30240  different id cards can be made if there are five digits on a card and no digit can be used more than once.

a) If repetition is allowed, then there are 10 ways to choose each of 5 digits. Hence, by the multiplication rule, we obtain that the total number of possible different ID cards is:

10⋅10⋅10⋅10⋅10 = 10⁵= 100000.

b) If repeats are not allowed, there are 10 ways to choose the first number, 9 ways to choose the second number (because we chose 1 digit as the first number), and 9 ways to choose the third number. There are 8 ways, 7 ways, and 7 ways to choose the 4th number. 6 ways to select the digit to select and the 5th digit.

So according to the multiplication rule the answer is:

10 × 9× 8×7×6 = 30240.

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The total amount it costs Jeff and Valerie to fill up their vehicles.

The correct option is D.

bx is most likely the amount it costs Jeff and Valerie to fill up their cars because they both pay x dollars per gallon.

Ay = Megan Bx

= Valerie and Jeff

Ay + Bx = Megan + Valerie and Jeff

Algebra is a field of mathematics that assists in the depiction of problems or situations using mathematical expressions. To produce a meaningful mathematical expression, variables like as x, y, and z are used, as well as mathematical operations such as addition, subtraction, multiplication, and division.

Working from left to right, first complete multiplication and division, then addition and subtraction.

The principles of algebra include numbers, variables, constants, expressions, equations, linear equations, as well as quadratic equations.. It also includes basic mathematical operations such as addition, subtraction, multiplication, and division within algebraic equations.

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Answer:

gg

Step-by-step explanation:

ggxgg=gggg

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

Answer:

a^2 + 4a -5

Step-by-step explanation:

(a+2)^2-9

((a+2)^2) - (9)

a^2+4a+4-9

a^2 + 4a -5

Answer:

5.2

Step-by-step explanation:

add back 0.8 from 7 am temp which is 4.4 degrees.

Answer:

5.2 °C

Step-by-step explanation:

4.4°C + 0.8°C = 5.2°C

The three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

To find the magnitude and direction of the translations applied on a triangle, we need to know the coordinates of the vertices of the original triangle and the coordinates of the vertices of the transformed triangle.

Let's say the coordinates of the original triangle are (x1, y1), (x2, y2), and (x3, y3), and the coordinates of the transformed triangle are (x1', y1'), (x2', y2'), and (x3', y3').

The magnitude of the translation can be found by calculating the distance between the corresponding vertices of the original and transformed triangles using the distance formula. For example, the magnitude of the translation from (x1, y1) to (x1', y1') is given by:

sqrt((x1' - x1)^2 + (y1' - y1)^2)

Similarly, we can find the magnitudes of the other two translations.

The direction of the translation can be found by calculating the angle between the line connecting the corresponding vertices of the original and transformed triangles and the x-axis. We can use the arctangent function to find this angle. For example, the direction of the translation from (x1, y1) to (x1', y1') is given by:

tan^-1((y1' - y1)/(x1' - x1))

Similarly, we can find the directions of the other two translations.

Once we have the magnitudes and directions of the translations, we can describe the transformation using vector notation. The vector of the translation is given by:

< magnitude1, direction1 >

< magnitude2, direction2 >

< magnitude3, direction3 >

This represents the three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

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Answer:

25

Step-by-step explanation:

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,

(x - h)² + (y - k)² = r²

The equation of the semicircle upper side of the x-axis will be given as,

(x - h)² + (y - k)² = r²

x - h = √[r² - (y - k)²]

x = √[r² - (y - k)²] + h

The equation of the semicircle upper side of the x-axis will be x = √[r² - (y - k)²] + h.

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Answer:

A

Step-by-step explanation: : )

The three types of consulting services that audit firms are now prohibited from providing to clients that are public companies are:

1. Bookkeeping services: Audit firms are prohibited from providing bookkeeping services to their audit clients. Bookkeeping involves the recording, organizing, and maintaining of financial transactions.

By prohibiting audit firms from providing bookkeeping services, it helps to ensure independence and objectivity in the audit process. This separation reduces the risk of potential conflicts of interest that could compromise the integrity of the audit.

2. Legal services: Audit firms are also prohibited from providing legal services to their audit clients. Legal services include activities such as drafting legal documents, providing legal advice, and representing clients in legal proceedings.

The prohibition on providing legal services aims to maintain independence and prevent any potential conflicts of interest that could arise if the audit firm were to also provide legal advice or services to the audited company.

3. Financial information systems design and implementation: Audit firms are further prohibited from designing and implementing financial information systems for their audit clients.

This involves the development and implementation of computerized systems that record and process financial data. The prohibition on providing financial information systems design and implementation services helps to avoid any potential bias or lack of objectivity in the audit process,

as the audit firm should remain independent and not be involved in the design and implementation of the systems they are auditing.

By prohibiting audit firms from providing these consulting services, it helps to ensure that the audit process is conducted objectively and independently, without any conflicts of interest.

This enhances the credibility and reliability of financial statements and promotes transparency and trust in the financial markets.

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The sampling technique used to obtain the described sample is A. Systematic sampling.

In systematic sampling, the elements of the population are ordered in some way, and then a starting point is randomly selected. From that point, every nth element is selected to be part of the sample.

In the given scenario, the first 35 students leaving the library were selected. This suggests that the students were ordered in some manner, and a systematic approach was used to select every nth student. Therefore, the sampling technique used is systematic sampling.

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The average time allowed the 15 selected students to be 3.06hours

What is Average?

In plain English, an average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5.

With a sample size of 15 and a p value of 0.04

From binomial probability, (nCx)px(1p) is where the application of binomial probability originates from (n-x)

1 - p = 0.96

a) P(x=1) is the probability that precisely 1 received a special accommodation.

= 15C1 x (0.04)^1 x (0.96) ^14 = 0.3388

b) P(x >=1) = 1 - P(x = 0) is the likelihood that at least 1 person received a special accommodation.

= 1 - [ 15C0 x (0.04)^0 x (0.96)^15 = 0.4579

c) the likelihood that two people at least obtained special accommodations

= [P(x = 0) + P(x = 1)] - [P(x>=2) = P(x>=2)

= 1 - [ 15C0 x (0.04)^0 x (0.96)^15 + 15C1 x (0.04)^1 x (0.96)^14]

= 1 - [0.5420 + 0.3388] .3388]

= 0.1192

d) likelihood that the proportion of the 15 who received a special accommodation is within two standard deviations of the proportion you would anticipate receiving one;

= P( x<=1) = P( x= 0) = 0.5429

e) expected average time = 0.04 x 4.5 + 0.96 x 3 = 3.06hours

Hence, The average time allowed the 15 selected students to be 3.06hours

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Assuming that the marbles are either green or not green and that the probability of picking a green marble is constant on every trial, we can use probability to make a prediction.

Let p be the probability of picking a non-green marble on one trial, then the probability of picking a green marble is 1 - p.

Since we pick marbles with replacement, each trial is independent of the others, and the probability of picking a non-green marble is the same for every trial.

The number of times we pick a non-green marble in 42 trials follows a binomial distribution with parameters n = 42 and p.

The expected value (or mean) of a binomial distribution is given by np, so in this case, the best prediction for the number of times we will pick a non-green marble is:

42 * p

We don't know the value of p, but if we assume that the probability of picking a non-green marble is 1/2 (i.e., the marbles are evenly split between green and non-green), then the best prediction for the number of times we will pick a non-green marble is:

42 * (1/2) = 21

Therefore, the best prediction possible for the number of times you will pick a marble that is not green is 21.

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distribute:

14w + 14y - 28

good luck, hope this helps :)

Answer:

14w + 14y - 28

Step-by-step explanation:

Distribute :)