The cost of 10 donuts and 2 cakes is the same. If the cost of 3 cakes and 5 donuts is $8, find the cost of a cake.

A common rule of thumb for determining the number of classes to use when developing a frequency distribution with classes is the square root of the total number of observations.

Frequency distribution with classes are formed from frequency tables that are used to represent the distribution of data. The number of classes in a frequency distribution will depend on the data set size and should reflect the number of observations, in order to provide the best representation of the data.

A rule of thumb for determining how many classes to use when developing a frequency distribution with classes is the square root of the total number of observations in the data set. This is also known as the square root rule. This rule is not a hard-and-fast rule, but rather a useful guide that should be adjusted if necessary based on the distribution of the data.

Therefore, it is important to take the size of data set and the shape of the data distribution into account when deciding the number of classes to use for a frequency distribution.

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The degree of a polynomial is the highest exponent of its variable. When multiplying monomials and binomials, we add the exponents of the variables to get the degree of the resulting polynomial.

However, the degree of the product can be different from the degree of the factors because of the distributive property of multiplication.

When we multiply a monomial by a binomial, we need to distribute the monomial to each term of the binomial. This results in new terms that may have different degrees than the original terms. For example, when multiplying the monomial x^2 by the binomial (2x + 3), we get:

x²(2x + 3) = 2x³ + 3x²

The degree of the monomial x² is 2, and the degree of the binomial (2x + 3) is 1. However, the degree of the resulting polynomial 2x³ + 3x² is 3 because the term 2x³ has a higher degree than any of the original terms.

Similarly, when we multiply two binomials, we need to distribute each term of one binomial to each term of the other binomial. This can also result in new terms with different degrees than the original terms.

Therefore, the degree of the product can be different from the degree of the factors when multiplying monomials and binomials because of the distributive property of multiplication.

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What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount = $285.75

Parking = $13.75

Price of ticket per person = $34.

So, money left after paying for parking

=285.75 - 13.75

= 272

Now, number of people in amusement park

= 272/34

=8

Hence, 8 people can go to the amusement park.

a) The present value of $25,000 due 9 periods from now, discounted at 10%, is approximately $10,593.22.

b) The present value of $25,000 to be received at the end of each of 6 periods, discounted at 9%, is approximately $22,935.35.

(a) Present Value of $25,000 due 9 periods from now, discounted at 10%:

To calculate the present value, we need to discount the future cash flow of $25,000 back to its current value using the given discount rate of 10%. The formula to calculate the present value is:

Present Value = Future Value / (1 + Discount Rate)ⁿ

Where:

Future Value is the amount to be received in the future ($25,000).

Discount Rate is the rate at which we discount the future cash flow (10%).

'n' is the number of periods or years until the future cash flow is received (9 periods in this case).

Let's plug in the values into the formula and calculate the present value:

Present Value = $25,000 / (1 + 0.10)⁹

Calculating the denominator:

(1 + 0.10)⁹ = 1.10⁹ ≈ 2.36

Present Value = $25,000 / 2.36 ≈ $10,593.22

(b) Present Value of $25,000 to be received at the end of each of 6 periods, discounted at 9%:

In this case, we have a cash flow of $25,000 to be received at the end of each of 6 periods, discounted at 9%. Let's calculate the present value:

Present Value = $25,000 / (1 + 0.09)¹ + $25,000 / (1 + 0.09)² + ... + $25,000 / (1 + 0.09)^6

Calculating each discount factor:

(1 + 0.09)¹ ≈ 1.09

(1 + 0.09)² ≈ 1.1881

(1 + 0.09)³ ≈ 1.2950

(1 + 0.09)⁴ ≈ 1.4116

(1 + 0.09)⁵ ≈ 1.5386

(1 + 0.09)⁶ ≈ 1.6765

Plugging in the values and summing them up:

Present Value = $25,000 / 1.09 + $25,000 / 1.1881 + $25,000 / 1.2950 + $25,000 / 1.4116 + $25,000 / 1.5386 + $25,000 / 1.6765

Present Value ≈ $22,935.35

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Answer:

55 ÷ 11 +5 × 19 × 2 =195

If you take turns in filling each gap then at one point you can get the answers.

Brainliest pls if it is correct! And hope it helps!

The probability that it will be a king or a diamond is 4/13

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

There are 52 cards, of which 4 are kings.

There are 52 cards, of which 13 are diamonds.

But there are only 3 cards that are kings which are not diamonds, and only 12 cards that are diamonds but not kings, there’s one card that is both a king and a diamond.

So, there are 3/52+12/52=15/52 chances of drawing a card that is king or diamond but not both.

There are 3/52+12/52+1/52=16/52 chances of drawing a card that is king or diamond or both.

Hence, the probability that it will be a king or a diamond is 4/13.

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Answer:

Could you write the problem right? I don't get it tell me when it right and i can factor it.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

No 0.01 is not less than 0

Because 0 means nothing

And

0.01 means have something

So

0.01>0

Step-by-step explanation:

If t and w are inversely proportional, it means that as one variable increases, the other variable will decrease by the same factor. In this case, we have the equation t = 4/w, which means that if we multiply w by a certain factor, t will be divided by the same factor.

If we multiply w by 6, the new value of w will be 6 times the original value:

w' = 6w

To find the new value of t, we can substitute w' into the equation:

t' = 4/w'

t' = 4/(6w)

t' = 2/3w

So we see that t has been divided by 6/1 = 6. Therefore, the value of t will decrease by a factor of 6 if the value of w is multiplied by 6.

Answer:

1/4

Step-by-step explanation:

when k=99

=>99=100-4n

=>4n=100-99

=>4n=1

=>n=1/4

Answer:

I think the answer is B)54

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function.

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The probability that 9% or less of the people sampled are left-handed is 0.377.

Using the terms proportion, probability, and considering the constraint of 200 words, I'll provide you with an answer to your question.
The proportion of left-handed people worldwide is believed to be 10%. In a random sample of 128 Americans, you want to find the probability that 9% or less of them are left-handed.
To calculate this probability, we can use the normal approximation to the binomial distribution. First, we find the mean (μ) and standard deviation (σ) for a binomial distribution:
μ = n * p = 128 * 0.1 = 12.8
σ = √(n * p * (1-p)) = √(128 * 0.1 * 0.9) ≈ 3.24
Next, we convert the desired proportion of 9% to the number of people, which is 0.09 * 128 ≈ 11.52. Now, we'll find the z-score:
z = (x - μ) / σ = (11.52 - 12.8) / 3.24 ≈ -0.396
Finally, we use the standard normal distribution table or a calculator to find the probability associated with this z-score. The probability of having 9% or less left-handed people in the sample is approximately 0.346 or 34.6% when rounded to 3 decimal places.

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Erm, would you mind making the format easier to decipher?

Answer:

B.

(

135

×

1

100

)

×

(

14

×

1

10

)

(

135

×

14

)

×

(

1

100

×

1

10

)

Step-by-step explanation:

Answer:

simply multiply the number of kilometers by 0.62137.

Step-by-step explanation:

I also don't no these nonsense.

The attributes shared by both trapezoids and parallelograms are:

A) 4 sides

C) All sides are straight lines

D) 2 sets of parallel sides

So the correct options are A), C), and D).

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According to the given information in the question the value of x is 85. Hence answer will be x = 85.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

Given: Angle FGH is a straight angle.

The measure of angle FGJ is 95°.

The measure of angle JGH is x°

Angles that form a straight line add up to equal 180°

Thus, x + 95 = 180

180 - 95 = 85

x = 85

Hence, the value of x is 85.

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Answer:

así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice

Step-by-step explanation:

de nada!!!

Answer:

I believe that your answer is a

Step-by-step explanation:

I remember that the exponent would be multiplied by both sides.

Answer: A

Step-by-step explanation:

the answer is b because if you

multiply it inside and get the exponents the answer

so the answer is A

Hope this helps :)

Answer:

You would move each point on y=P(x) up by three. Or add 3 to each y coordinate

Step-by-step explanation:

This is because we're not manipulating the value of x before it gets multiplied by P.

For example:

If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).

Answer:

Step-by-step explanation:

Step 1:

Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.

Step 2:

Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.

Answer:

~17/40~

Step-by-step explanation:

All of the methods mentioned, i.e., bar chart, pie chart, and relative frequency table are valid ways to summarize or visualize categorical variables. Option D.

They are commonly used in data analysis to gain insights into the distribution and proportion of different categories within a dataset.

A bar chart is a graphical representation of data that uses rectangular bars to display the frequency or proportion of different categories. It is useful in comparing the frequencies of different categories and identifying the most common or rare categories.

A pie chart is another graphical representation of data that uses slices of a circle to display the relative frequency or proportion of different categories. It is useful in showing the proportion of each category in relation to the whole.

A relative frequency table is a tabular representation of data that displays the frequency and proportion of each category. It is useful in comparing the frequencies and proportions of different categories and identifying the most common or rare categories.

Therefore, none of the options given would be an invalid way to summarize or visualize categorical variables. The choice of which method to use depends on the nature of the data and the purpose of the analysis.

It is important to choose a method that effectively communicates the information being presented and is appropriate for the audience. So Option D is correct.

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Note the correct question is

Which of the following would NOT be a valid way to summarize or visualize a categorical variable? Choose the correct answer below

A.)Bar chart

B.)Pie chart

C.)Relative frequency table

D.)None of the above

Answer:

its in order starting from the lowest so the answer would be:

D B E C A

Answer:

Hence, x=28.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

look at the question another way or from another angle

Step-by-step explanation:

The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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The coordinates after the rotation are A' = (-2, 2), B' = (3, -3) and C' = (-5, -2)

Given that, graph of triangle ABC with vertices at (-2, -2), (3, 3), (2, -5)

We need to determine the coordinates of triangle A′B′C′ when triangle ABC is rotated 90° clockwise.

So, we know that rule of rotation 90° clockwise = (x, y) becomes (y, -x)

Therefore,

A' = (-2, 2)

B' = (3, -3)

C' = (-5, -2)

Hence, the graph is attached.

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Answer:

The coordinates after the rotation are A' = (-2, 2), B' = (3, -3) and C' = (-5, -2)

Step-by-step explanation: