Bolla is making button barrettes. She allows each of her friends to
reach into her bag of buttons and randomly select a color. Then she
replaces it with the same color button and shakes the bag before
letting another friend pick a color. Bella's bag of buttons contains the
colors below.
W 50 of her friends choose a button from the bag, about how many pink barrettes
can she expect to make?
10 pink barrettes
Treat
QTY
Pink
300
3 pink barrettes
Green
700
6 pink barrettes
Orange
1,000
Blue
15 pink barrettes
500

When two players A and B alternately flip a fair coin, the probability  E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).

We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).

\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)

As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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There are 19 triangels can be formed whose vertices are among the 9 points.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides. In other words, a triangle is defined as a three-sided two-dimensional figure whose interior angles are equal to 180°.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

From the question, we know that we have 9 point from 2 line parallel. There are 19 triangels (the same shape is not counted twice) can be formed whose vertices are among the 9 points that shown in the following picture.

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Answer:

Neither are polynomials because polynomials have more than 2 terms

Step-by-step explanation:

Answer: 10 is a polynomial because the power of x is 0, which is a whole number.

Step-by-step explanation: Sorry that's all I got. I hoped that helped you find why 1/4 is not a polynomial.

Answer:

$13.30

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

Step-by-step explanation:

mia went shopping. she had $20.00. she bought 1 shirt for $7.50 and a new bracelet for $5.25. how much money does mia have left?​

20 - 7.5 - 5.25 = $7.25 left

[assuming no sales tax]

Answer:

she has 7.25

Step-by-step explanation:

So, Mia has twenty dollars then purchases a shirt which is 7.25 and a bracelet for the price of 5.25

20.00 - 7.50= 12.50-5.25=7.25

Answer:

The area if the triangle is 15 yd^2

Step-by-step explanation:

The formula to find the area if a triangle is base × height ÷ 2. So for this question it is 10×3÷2=15

The rule we use here is \(\frac{a^b}{a^c} = a^{b-c}\)

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

Hong rode the scooter for approximately 86 minutes.

Let's start by using algebra to solve for the number of minutes Hong rode the scooter.

Let's say the number of minutes Hong rode the scooter is "m". Then, we can set up the following equation:

Total cost = $5 fee + 9 cents per minute x m minutes

$12.74 = $5 + $0.09m

Next, we'll solve for "m" by isolating it on one side of the equation:

$12.74 - $5 = $0.09m

$7.74 = $0.09m

m = $7.74 ÷ $0.09

m ≈ 86

Therefore, Hong rode the scooter for approximately 86 minutes.

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Answer:

\(26.68\ \text{feet}\)

Step-by-step explanation:

a = 100 feet

\(\angle B=20^{\circ}\)

\(\angle C=45^{\circ}\)

\(\angle A=180-(20+45)=115^{\circ}\)

From sine rule we have

\(\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}\)

\(\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}\)

The is seagull is \(26.68\ \text{feet}\) above the ground.

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

When one multiplies a negative numer and a positive number, the product integer will be negative.

The rule to assist the multiplication of signed integers is -

Case I - Product of postive and negative integer will be negative.

Case II - Product of two positive integers will be positive.

Case III - Product of two negative integers will be positive.

Case IV - Product of negative and positive integer will be negative.

Let us understand this will example. Taking two integer numbers 2 and 5. Changing the signs as per the requirement.

Case I - 5 and (-2) = -10

Case II - 5 × 2 = 10

Case III - (-5) × (-2) = 10

Case IV - (-5) × 2 = -10

Thus, the result according to question will be negative number.

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There are 362,880 permutations that can be made using the letters S, T, U, D, Y, H, A, R, D. The answer is (d) 362,880 permutations.

There are 9 letters in the given set. To find the number of permutations, we can use the formula for the number of permutations of n objects taken r at a time, which is given by:

n! / (n-r)!

For this problem, we want to find the number of permutations of all 9 letters, so we set n = 9 and r = 9:

9! / (9-9)! = 9!

Simplifying 9! gives:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Multiplying these digits gives:

9! = 362,880

Therefore, there are 362,880 permutations that can be made using the letters S, T, U, D, Y, H, A, R, D. The answer is (d) 362,880 permutations.

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Answer:

Step-by-step explanation:

To find the surface area of a triangular prism, you need to calculate the areas of its individual faces and add them together. A triangular prism has five faces: two triangular bases and three rectangular lateral faces.

Here's how you can calculate the surface area step by step:

1.Calculate the area of one of the triangular bases:

Measure the length of the base of the triangle (b).

Measure the height of the triangle (h).

Use the formula for the area of a triangle: A = (1/2) * b * h.

Multiply the result by 2 since there are two triangular bases.

2.

Calculate the area of each of the three rectangular lateral faces:

Measure the length of one side of the triangle (a).

Measure the height of the triangle (h).

Multiply the length (a) by the height (h) to find the area of each rectangular face.

Sum up the areas of all three rectangular faces.

3.Add the areas of the two triangular bases and the three rectangular lateral faces to get the total surface area of the triangular prism.

The formula for the surface area (SA) of a triangular prism is:

SA = 2 * A_base + 3 * A_lateral

Where:

A_base is the area of one triangular base.

A_lateral is the combined area of the three rectangular lateral faces.

By following these steps and using the appropriate measurements, you can determine the surface area of a triangular prism.

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:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

\(y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11\)

but dy/dx is -1 :

\(6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2\)

substitute for x :

\(y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3\)

Answer:

(I)3548 ,,,,,,48.35

(ii) 4807,,,,,,7.48

(iii)1397,,,,,,,97.13

Answer:

22

Step-by-step explanation:

17+(8-5)x5

17+3×5

17+15

22

Answer:

255

Step-by-step explanation:

B stands for brackets

O stands for order

D stands for devision

M stands for multiplication

A stands for addition

S stands for subtraction

If you follow it in the right order then you will find your answer so just follow it in the right order...

The type of sampling design like this is is a stratified random sampling design.

This is a stratified random sampling design. The population is divided into two strata, one for female applicants and one for male applicants, and a random sample is selected from each stratum.

Stratified random sampling is a method of sampling that involves dividing the population into smaller groups or strata based on certain characteristics, and then randomly selecting a sample from each stratum. In this case, the population of applicants is divided into two strata: female applicants and male applicants.

A random sample of 15% of the female applicants who were not hired and 15% of the male applicants who were not hired are then selected and compared with the records of the recent hires. This allows for a more representative sample of the population as it ensures that both genders are represented in the sample, and also allows for a comparison of the hiring process between the two groups.

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Answer:

-8

Step-by-step explanation:

;

you put in 2*-2+3*-3+5 and the answer is-8

Answer:

37.5%

Step-by-step explanation:

OOF DIS COMPLICATED

I messed up big timeeeeeeeee

A lot of percent problem are very simple by just assuming values, especially in case the answer is also a percentage.

If there are 100 birds, 20% are tagged so 20 are tagged.

Out of the rest 80, 30 should be tagged so that a total of 50% are tagged.

30/80 = 37.5%

(The huge number given is unnecessary, just to make you waste your valuable time. Read the question again to realize that it is not needed.)

The percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

First step

Currently Tagged birds= 54210 ×20/100

Currently Tagged birds=10842

Second  step

Untagged birds=54210 - 10842

Untagged birds=43368

Third step

Untagged birds percentage:

Untagged birds percentage=( 54210/2)-10842/43368

Untagged birds percentage=(27105-10842)/43368

Untagged birds percentage=16263/43368

Untagged birds percentage=0.375×100

Untagged birds percentage=37.5%

Inconclusion the percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

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When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.

It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.

On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.

In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.

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The value of x is 22.

Given is a parallelogram ABCD, in which angle B and C are 4x+12 and 3x+14, we are asked to find the value of x,

We can make use of the fact that a parallelogram's adjacent angle sum equals 180 degrees.

According to the given information, the adjacent angles B and C are 4x + 12 and 3x + 14, respectively.

The equation:

(4x + 12) + (3x + 14) = 180

Combine like terms:

7x + 26 = 180

Subtract 26 from both sides:

7x = 154

Divide both sides by 7:

x = 22

Therefore, the value of x is 22.

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The comparison of the numbers is that  -√7 is greater than -3.12345....

The numbers are given as:

-√7 and -3.12345....

Using a calculator, we have:

-√7 = -2.6457.....

-2.6457.... is greater than -3.12345....

This means that

-√7 is greater than -3.12345....

Hence, the comparison of the numbers is that  -√7 is greater than -3.12345....

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The recurrence relation N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1) represents the number of ways to spend all the money when we have a certain amount of dollars and four options for spending it: milk, juice, coffee, and cookies.

Let's denote the number of ways of spending all the money as N(n), where n represents the amount of money we have. Our goal is to find the recurrence relation for N(n).

To start, let's consider the base cases. When n = 0, it means we have no money left. In this case, there is only one way to spend the money, and that is by not buying anything. Therefore, N(0) = 1.

Now, let's consider the cases when n > 0. We have four options for spending the money: milk, juice, coffee, and cookies. Let's analyze each option separately.

If we decide to buy milk, it costs $2. After buying milk, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying milk is equal to N(n - 2).

If we decide to buy juice, it also costs $2. After buying juice, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying juice is equal to N(n - 2).

If we decide to buy coffee, it costs $3. After buying coffee, we are left with n - 3 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 3). Therefore, the number of ways of spending all the money when buying coffee is equal to N(n - 3).

If we decide to buy cookies, it costs $1. After buying cookies, we are left with n - 1 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 1). Therefore, the number of ways of spending all the money when buying cookies is equal to N(n - 1).

Now, let's consider the total number of ways to spend all the money when considering all the options. Since each option is independent, we can add up the number of ways for each option. Therefore, the recurrence relation for N(n) can be expressed as:

N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1)

This recurrence relation allows us to compute the number of ways of spending all the money for any given amount of money. By using dynamic programming techniques, we can start with the base case N(0) = 1 and compute the values of N(n) iteratively until we reach the desired amount of money.

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The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

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90000 pounds of trash is equal to:  40823.28 kilograms

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

One yard is equivalent to 0.9144 meters. Therefore, 9 yards of fabric is equal to:

9 yards x 0.9144 meters/yard = 8.2296 meters

Rounding this to the nearest tenth gives us 8.2 meters. Therefore, Connie bought 8.2 meters of fabric.

One pound is equal to 0.453592 kilograms.

Therefore, 90000 pounds of trash is equal to:

90000 pounds x 0.453592 kilograms/pound = 40823.28 kilograms

Rounding this to the nearest tenth gives us 40823.3 kilograms. Therefore, an average American will throw away approximately 40823.3 kilograms of trash over their lifetime.

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The mechanism by which chromosomes in a eukaryotic cell are replicated only once per cell cycle is through the,   "a part regulation of initiation of DNA replication".

Eukaryotic DNA replication is tightly regulated to ensure that each chromosome is replicated only once per cell cycle. This process is controlled by multiple factors, including the phosphorylation of proteins required to prepare an origin of replication to initiate DNA replication.

In particular, the protein kinase CDK (cyclin-dependent kinase) promotes the initiation of DNA replication by phosphorylating proteins involved in the initiation process. However, to prevent re-replication of DNA during a single cell cycle, the cell also synthesizes CKIs (cyclin-dependent kinase inhibitors) that block cyclin/CDK activity after the initiation of DNA replication.

Additionally, the concentration of nucleotides available for DNA synthesis is also regulated during the cell cycle. The cell ensures that an adequate supply of nucleotides is available for DNA synthesis by controlling the expression of enzymes involved in nucleotide synthesis.

Furthermore, the cell also monitors DNA integrity and allows DNA replication only if it lacks damage. DNA damage checkpoints are activated if DNA damage is detected, and they halt the cell cycle to allow time for DNA repair before DNA replication proceeds.

In summary, the precise regulation of initiation of DNA replication, nucleotide availability, and DNA damage checkpoints all contribute to ensuring that chromosomes in a eukaryotic cell are replicated only once per cell cycle.

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Answer:

5x

Step-by-step explanation:

Answer:

Let the required number be 'x'

According to the given problem,

The product of a number and 5 is :

\( \longmapsto \boxed{5x}✓\\ \)

The value of x is 40°

Answer:

Solution given:

In triangle BCE

<C+<B+<E=180°[sum of interior angle of a triangle]

<C+60°+x°=180°

<C=180°-60°-x°

<C=120°-x°

again

<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

2x=120-x

2x+x=120°

3x°=120°

x°=120°/3°

x°=40°

Now we have to,

find the required value of x.

Then in ∆ BCE,

By sum of interior angle of a triangle.

→ <C+<B+<E = 180°

→ <C+60°+x = 180°

→ <C = 180-60-x

→ <C = 120-x

Now by the exterior angle of,

A cyclic quadrilateral is equal to the opposite interior angle.

→ <A = <C

→ 2x = 120-x

→ 2x+x = 120

→ 3x = 120

→ x = 120/3

→ x = 40°

Hence, 40° is the value of x.