Debbie's Cupcakes recently sold 3 vanilla cupcakes and 3 other cupcakes. What is the experimental probability that the next cupcake sold will be a vanilla cupcake?
Write your answer as a fraction or whole number.
P(vanilla cupcake)=

the garbage company in the city will collect approximately 5.72 pounds of garbage per person in one year.

To calculate how a lot garbage in step with man or woman the garbage enterprise collects in 12 months, we want to find out how many weeks are in a yr and then divide the overall amount of garbage collected in a 12 months by means of the population of the town.
wide variety of weeks in a year: 52 (assuming there aren't any bounce years)
overall amount of garbage collected in a 12 months: 14,three hundred kilos/week x fifty two weeks = 743,600 kilos/12 months
garbage in keeping with character in line with year: 743,six hundred kilos/12 months ÷ 1.three x 10^5 people = 5.72 kilos/person/yryr

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Since the average speed of the train was less than 1 mile per minute, it is not possible for the train to have ever traveled faster than its average speed.

Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Similarly The directional speed of an item in motion, as measured by a specific unit of time and viewed from a certain point of reference, is what is referred to as velocity.

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force applied on an item determines the direction of its acceleration.

The total time that Sabine spent on the train is 5:15 pm - 11:30 am = 5 hours and 45 minutes, or 5 * 60 + 45 = 345 minutes.

Then,

448.5 miles / x miles per minute = 345 minutes

Solving this equation for x, we find that the average speed of the train was approximately 0.63 miles per minute.

Since the average speed of the train was less than 1 mile per minute, it is not possible for the train to have ever traveled faster than its average speed.

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Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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Answer:A on edge

Step-by-step explanation:

The factored form of the polynomial is mathematically given as

(z-5)(z-5)

Generally, the equation for the polynomial is mathematically given as

z2−10z+25

Therefore, using

-5+-5 = -10 and -5*-5 = 25

We have

(z-5)(z-5)

In conclusion, The factored form of the polynomial is

(z-5)(z-5)

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Answer:

I think it's 2/5 I may be wrong so don't trust me if anyone else can correct me please do thank you!

The general form of an equation of a line is;

y = mx + b

You can obtain the equation of the given line by calculating the slope m and the y-intercept.

You use the following formula for the slope:

where (x1,y1) and (x2,y2) are two points of the line. You can observe that two pointsof the line are (0,-2) and (4,0).

You replace the previous coordinates into the formula for m:

Next, you use the same formula for m to obtain the y-intercep b. You proceed as follow:

where (x1,y1) is a point of the line, if you use the point (0,-2), you have:

Hence, the equation of the line of the graph is:

y = 1/3x - 2

Answer:

where's the data

Step-by-step explanation:

When the variables r = 3 and y = -6, the value of the expression is -27.

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables, parameters, and numerical quantities (number).

Based on the information provided, the mathematical expression is given by;

Mathematical expression = √x⁴ - y²

Substituting the given parameters into the mathematical expression, we have;

Mathematical expression = √(3)⁴ - (-6)²

Mathematical expression = √81 - 36

Mathematical expression = 9 - 36

Mathematical expression = -27.

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Complete Question:

Type the correct answer in the box. use numerals instead of words. Enter the number of the topic sentence.

Consider this expression. √x⁴ - y². When r = 3 and y = -6, the value of the expression is____.

The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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Answer:

x = -1

Step-by-step explanation:

-9 - (9x-6) = 3(4x+6)

-9 - 9x + 6 = 12x + 18

-9x - 3 = 12x + 18

-21 = 21 x

x = -1

The number of DVDs shipped is, 20000 less that the previous year ,

Therefore, the integer -20000 can be used to describe the change.

Answer:

262 cm^2

Step-by-step explanation:

Here, l = 8cm, b = 5cm, h = 7cm is given

Now, The Area Of A Cuboid

= 2(lb + bh + hl)

= 2(8 × 5 + 5 × 7 + 7 × 8)

= 2(40 + 35 + 56)

= 2(131)

= 2 × 131 = 262 cm^2

-TheUnknownScientist

Rewrite 13/5 as 26/10

Add the two pieces together:

26/10 + 33/10 = 59/10

Rewrite 7 meters as 70/10

Subtract the two pieces:

70/10 - 59/10 = 11/10 meter left

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

This is the opposite of growth function which has values greater than 1

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The lines that are perpendicular to the given line are: (y - 3) = -5(x - 4) and 5x + y = 3. The lines, y = 0.2x, (y - 1) = 2(x - 3), y = 5x - 3, and y = -2x + 1 are neither.

Recall the following:

The slope of the line given is calculated as:

m = rise/run = 1/5

Compare the slope of each given equation:

The slope of y = 0.2x is 0.2, therefore, the lines are neither.

The slope of (y - 1) = 2(x - 3) is 2, therefore, the lines are neither.

The slope of 5x + y = 3 is -5. -5 is the negative reciprocal of 1/5, therefore, the lines are perpendicular.

The slope of y = 5x - 3 is 5, therefore, the lines are neither.

The slope of (y - 3) = -5(x - 4) is -5. -5 is the negative reciprocal of 1/5, therefore, the lines are perpendicular.

The slope of y = -2x + 1  is -2, therefore, the lines are neither.

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Answer:

y=4

Step-by-step explanation:

\(\large\text{Hey there!}\)

\(\large\boxed{\mathsf{10+ 16 - (8 \div 2)}}\)

\(\large\boxed{\mathsf{10 + 16 = \bf 26}}\)

\(\large\boxed{\mathsf{\rightarrow \bold{26} - (8 \div 2)}}\)

\(\large\boxed{\mathsf{{ 8 \div 2 = \bf 4}}}\)

\(\large\boxed{\rightarrow{\mathsf{26 - \bf 4}}}\)

\(\large\boxed{\mathsf{\rightarrow \bf 22 }}\)

\(\huge\boxed{\textsf{Therefore, your answer is: 22}}\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The total distance from the starting point is 42 miles.

Distance is a numerical measurement of how far apart two objects or points are located. It can be measured in various units, such as miles, kilometers, or light years. The concept of distance is important in physics, mathematics, and geometry. It is used in a wide range of everyday applications, from measuring the length of a running track to determining the distance from Earth to the Moon. Distance helps us understand how things are related and connected to each other in space. It can also be used to calculate the speed of an object or the time it takes to travel between two points.

To calculate this, one can use the Pythagorean theorem to solve for the hypotenuse of the right triangle created by the distances traveled. The hypotenuse of the triangle is the total distance traveled, and can be calculated by taking the square root of the sum of the squares of the other two sides. The other two sides are the 10 miles north and the 16 miles east, so the total distance traveled can be calculated by taking the square root of (10^2 + 16^2). The answer is 42 miles.
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Complete questions as follows-
I drove 10 miles north 14 miles east 16 miles north 2 miles east 4 miles north how far am I from my starting point?

Answer:

ince the sum of the numbers is 120, we can say that:

3n+7n=120

10n=120

n=12

Now that we have established this, we can just go back and substitute the value of n into 3n:

3n = 3*12

= 36

Therefore, the smaller number is 36. This can also be double checked by finding the value of the other number and seeing if it adds up to 120.

7n = 7*12

= 84

84+36 = 120

This way, we have double checked our answer to ensure it is correct.

I hope this helped, and I also hope you are able to apply this to similar problems!

Step-by-step explanation:

yes

As calculated from the given data Jane's calorie intake is 1200 per day.

From the details given in the question we can say that Jane doesn't likes milk. Hence, she lacks dairy fat  in her food. As per the given case she likes vegetables and eats fruit a lot. Therefore, and the grams of total caloric intake for her should be 1200 calories per day.

She does, however, lack fats from dairy products like milk. A child of 8 years old is thought to need at least 2 cups of milk or its equivalent each day. Jane is getting enough carbohydrates because she consumes 225 gram per day as opposed to the recommended 130 gram.

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The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to two angles and the side between them of another triangle, then the two triangles are congruent.

The AAS Triangle Congruence Theorem states that if two angles and the side between them of one triangle are equal to the two angles and the side between them of another triangle, then the two triangles are congruent. This theorem is an important tool in geometry that can be used to determine if two triangles are congruent and to find missing side lengths or angles. This theorem is based on the idea that if two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles must be congruent. This is because the third side of the triangle, and the remaining angles must also be equal in order for the triangles to be congruent. Therefore, the AAS Triangle Congruence Theorem can be used to determine if two triangles are congruent, and to find missing side lengths or angles.

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Answer:

divide numerator by the denominator of the fraction.Mean you can divide it

Step-by-step explanation:

I am not sure my answer correct or not,hope you know it.

Mode

2 x 5 = 10

6 x 5 = 30

5 x 5 = 25

3 x 5 = 15

7 x 5 = 35

8 x 5 = 40

9 x 5 = 45

2 x 5 = 10

4 x 5 = 20

7 x 5 = 35

4 x 5 = 20

7 x 5 = 35

The mode is 35 because it is repeated 3 times.

Answer:

Step-by-step explanation:

it is 2x

Answer:

No

Step-by-step explanation:

irrational numbers have nonrepeating and non terminating decimals

This decimal stops at one digit so this is a rational number

Answer:

I would say no

Step-by-step explanation:

An irrational number can't be written as a simple fraction.  

(a) The density function fx is proportional to \(|x|e^{(-x^2)}\).

(b) The cumulative distribution function Fx can be computed.

(c) The probability of X ∈ [1,3] can be approximated.

(d) The expected value and variance of X can be found.

A continuous random variable X with range R has a density function fx that is proportional to \(|x|e^{(-x^2)}\). To find the density function, we need to determine the constant of proportionality. To do this, we integrate fx over the entire range and set it equal to 1. Once we have the density function, we can plot it.

The cumulative distribution function Fx gives the probability that X takes on a value less than or equal to a given number. It can be computed by integrating the density function from negative infinity to x. The plot of Fx represents the cumulative probability distribution.

To compute the probability of X ∈ [1,3], we integrate the density function from 1 to 3. This area under the density curve represents the probability of X falling within the specified range. The result can be approximated to the desired decimal place using numerical integration methods.

The expected value of X, denoted as E(X) or μ, represents the average value of the random variable. It is calculated by integrating x times the density function over the entire range. The variance of X, denoted as Var(X) or \(\sigma^2\), measures the spread of the random variable. It is obtained by integrating\((x - E(X))^2\) times of the density function over the entire range.

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Answer:

second table

Step-by-step explanation:

For a proportional relationship, the constant of proportionality k is

k = \(\frac{y}{x}\)

Choose an ordered pair from each table and evaluate for k

Table 1

using (8, 1 ), then

k = \(\frac{1}{8}\) = 0.125 ≠ 0.8

Table 2

using (10, 8 ), then

k = \(\frac{8}{10}\) = 0.8

Table 3

using (8, 0.8 ), then

k = \(\frac{0.8}{8}\) = 0.1 ≠ 0.8

Table 4

using (10, 20.8 ), then

k = \(\frac{20.8}{10}\) = 2.08 ≠ 0.8

Table 2 has a constant of proportionality k = 0.8