A pyramid is being built with cubes, as shown. On the top layer is one cube. Under that is a layer of 4 cubes arranged in a square. The third layer has 9 cubes arranged in a square. If this pattern continues indefinitely,

Answer:

129 cents

Step-by-step explanation:

each inch of wire costs 3 cents.

43 x 3 =129

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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Answer:

C Subtraction property of equality

Step-by-step explanation:

You are subtracting 21 from both sides in step 3

Answer:

I would guess C

Step-by-step explanation:

I hope I'm correct, good luck.

Answer:

f is 14 And 8 is E

Step-by-step explanation:

so you have to solve the first step of 14 and 8 it is 90 dress angle

You weren't clear with your question, but I am assuming you want to solve for the variable "x."

-2(x - 6) + 7 = 35

-2x + 12 + 7 = 35; distribute the -2

-2x + 19 = 35

-2x = 16; isolate the x variable (the variable you want to solve)

x = -8; divide by -2 to isolate the x variable

Answer:

\(x=-8\)

Step-by-step explanation:

1) Distribute

\(-2(x-6)+7=35\\-2x+12+7=35\)

2) Add the numbers

\(-2x+12+7=35\\-2x+19=35\)

3) Subtract 19 from both sides of the equation

\(-2x+19=35\\-2x+19-19=35-19\)

4) Simplify

A. Subtract the numbers

\(-2x+19-19=35-19\\-2x=35-19\)

B. Subtract the numbers

\(-2x=35-19\\-2x=16\)

5) Divide both sides of the equation by the same term

\(-2x=16 \\\frac{-2x}{-2} =\frac{16}{-2}\)

6) Simplify

A. Cancel terms that are in both the numerator and denominator

\(\frac{-2x}{-2} =\frac{16}{-2}\)

B. Divide the numbers

\(x=-8\)

If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?

Answer:

3/8

Step-by-step explanation:

Answer:

its 11

Step-by-step explanation:

hope this helped bro!

Laurel must increase her net income to $10,000 in order to keep her housing costs at 25%.

To determine how much Laurel must increase her net income in order to keep her housing costs at 25%, we need to know the following information:

The amount of Laurel's new mortgage, which is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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Laurel must increase her net income to $10,000 to keep her housing costs at 25%.

The amount of Laurel's new mortgage is $2500

The percentage of Laurel's net income that she wants to use for housing costs, which is 25%

To find the amount of net income that Laurel needs to maintain a housing cost of 25%, we can use the following formula:

Net income = Mortgage / (Housing cost percentage)

Substituting the values from the problem, we get:

Net income = $2500 / (25/100)

Net income = $2500 / 0.25

Net income = $10,000

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A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).

A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.

An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.

The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.

The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.

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Answer:

x = 3.

Step-by-step explanation:

To find x all you need to do is 78 divided by 26.

78 ÷ 26

Which is 3.

So x is 3.

Answer:

x= 78

Step-by-step explanation:

isolate the varible by dividing each side by the factors and i got x =78.

When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

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Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Let x be the principal of the first loan, and y be the principal of the second loan, then, we can set the following system of equations:

Solving the first equation for x, we get:

Substituting the above result in the second equation, we get:

Solving the above equation for y, we get:

Substituting y=5000, in x=12,000-y, we get:

Answer:

The principal of the 8% interest loan was $5000, and the principal of the other loan was $7000.

The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

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Answer:

0.00390625

Step-by-step explanation:

For coins :

Number of rolls, trials, n = 4

P(heads) = 0.5

Using binomial probability formula :

P(x =x) : nCr * p^x q ;

P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

P(even number from 4 coin tosses)

Even faces = (2,4,6)

Total faces = (1,2,3,4,5,6)

P(success) = 3/6 = 0.5

P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625

Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625

Answer:

$12,400

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

I = 31000 x .08 x 5

I = 12,400

Answer:

The ratio between A and B is 30/1.

Step-by-step explanation:

In math, ratios are the relationships between two quantities using division. They want us to find the ratio of A (3 * 10^-6) to B (0.0000001). While the quantity of A is in scientific notation, the quanitity of B is in decimal notation.

Scientific notation is a way to notate very large or very small numbers in the form of a * 10^m, where 1 ≤ a < 10.

Decimal notation is the regular notation we use for rational numbers that are not fractions or percentages.

I will do the math in scientific notation. First, I will convert B from decimal notation to scientific notation. To do this, I must first find the decimal point in B.

0.0000001

Then, I move the decimal place right until the a number is between 1 and 10.

1

But we can't just make such a small number into 1 like nothing! I have to notify the change in a using powers of 10. SInce I moved the decimal place 7 places and the number got smaller, I will say that 1 can be multiplied by 10^-7

1 * 10^-7.

Now I can find the ratio between A and B. First, I write the ratio as is.

(3 * 10^-6)/(1 * 10^-7)

Next, I can rearrange the a number and the powers of 10 with each other.

= (3/1)(10^-6/10^-7)

Simplify.

= (3)(10)

= 30

The ratio between A and B is 30/1.

Answer:32

Step-by-step explanation:

Answer:

V= 251.327

Step-by-step explanation:

V= \(\pi\)r^2*h

V= \(\pi\)2^2 * 20

V= \(\pi\)4 * 20

V=\(\pi\)*80

V= 251.327

Answer:

The bear population gained 70%.

Step-by-step explanation:

Let is us consider 'p' denotes the current percentage of bears.

so

so

\(p=\frac{17\times 100}{10}\)

\(p=\frac{1700}{10}\)

\(p=170\)

Subtract 100 from the 170 to determine the percentage of increase

\(170-100=70\)

Therefore, the bear population gained 70%.

The values of the side and the angle in the two triangles are: 2.2cm and 80.7⁰ respectively

to find the value of the length AC in the first triangle, we make use of the sine rule that states that

Ac/sin B = BC/sin A

By substitution in the formula

Ac/sin72 = 3.7/sin26

AC Sin = 3.7* sin Sin72

AC = (3.7 * 0.9511)/0.4384

AC = 2.2 cm

Also, To find the angle PRQ, we still make use of the sine rule that states that

Sin72/8  = Sin P / 8.3

this implies that 8*sinP = 8.3 * Sin72

Sin P = (8.3 * 0.9511)/8

Sin P = 0.9868

Making P the subject of the relation we have

P = Sin⁻¹0.9868

Therefore the angle PRQ = 80.7⁰

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Answer: D. 20

Step-by-step explanation:

(4/5)(25/1)

= 100/5

=20

The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

The functions for this problem are defined as follows:

As the composition of the functions is then given as follows:

\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)

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Answer:

\(x^2+x-20\)

Step-by-step explanation:

1) Use the FOIL method: \((a+b)(c+d)=ac+ad+bc+bd.\\\)

\(x^2+5x-4x-20\)

2) Collect like terms.

\(x^2+(5x-4x)-20\)

3) Simplify.

\(x^2+x-20\)

What is the FOIL method

It stands for:

First, Outside, Inside, Last

Answer:

x^2+x-20

Step-by-step explanation:

(x-4)(x+5)

=x^2-4x+5x-20

=x^2+x-20

Hope This Helped

Answer: $2.71.

Step-by-step explanation:

Let's assume the cost of a pizza is "p" and the cost of a basket of wings is "w".

From the given information, we can create a system of two equations:

2p + 3w = 29 --- (1)

5p + 2w = 45 --- (2)

We want to find the value of "w". We can solve this system of equations using the elimination method.

Multiplying equation (1) by 2, we get:

4p + 6w = 58

Now we can subtract equation (2) from this equation to eliminate "p":

4p + 6w - (5p + 2w) = 58 - 45

Simplifying this equation, we get:

-p + 4w = 13 --- (3)

We have eliminated "p" from the equations. Now we can solve for "w".

Multiplying equation (1) by 2 and subtracting 3 times equation (3), we get:

2(2p + 3w) - 3(-p + 4w) = 58 - 39

Simplifying this equation, we get:

7w = 19

Therefore, the cost of a basket of wings, "w", is:

w = 19/7

Rounding to the nearest cent, we get:

w ≈ $2.71

Hence, the cost of a basket of wings is approximately $2.71.

MAKE ME THE BRAINLIEST PLS IF I GOT IT RIGHT

Answer:5

Step-by-step explanation:

pizza is x and wings are y

you setup the equation like this: 2x + 3y =29

                                                     5x + 2y =45

you then solve for y so you multiply the numbers of 2x + 3y =29 by 5 and the bottom equations numbers by -2 so 2 x 5 =10 so you 10x then 3 x 5 =15 so you have 15y and 29 x 5 =145 so your top equation is 10x+15y=145

and then you multiply 5 x -2 which is -10x then you multiply 2 x -2 which is -4y lastly you multiply 45 x -2 which is -90 so your bottom equation is -10x + -4y =-90 so then you get your new equations like this:                  10x + 15y = 145

-10x + -4 = -90

your x variables get cancelled out so you do 15 - 4 and you get 11y and then you subtract 145 - 90 and get 55 so you now have 11y = 55. You divide by 11 and get y=5