Karen had 7 items in her shopping cart with different prices. Her mean cost of these items was $4.02. At the register, she added a package of gum for $1.99. Choose ALL statements about how the price of the gum will affect the mean and median of the items she purchased.
A. the mean will decrease
B. the mean will increase
C.the median will decrease
D the median will increase
E the mean will decrease and increase.

The expression (\(-15x^5y^3 + 21x^5y^7\)) divided by (\(3x^2y^5\)) can be simplified to  \(-5x^3y^2\). using the rules of exponentiation and division.

To simplify the expression (\(-15x^5y^3 + 21x^5y^7\)) divided by (\(3x^2y^5\)), we can apply the rules of exponentiation and division.

Let's break down the steps for simplification:

Step 1: Divide the coefficients

-15 divided by 3 is -5, and 21 divided by 3 is 7.

Step 2: Divide the variables with the same base by subtracting the exponents

For the x terms,\(x^5\) divided by x^2 is\(x^(^5^-^2^)\) which simplifies to \(x^3.\)

For the y terms, \(y^7\) divided by y^5 is \(y^(^7^-^5^)\) which simplifies to\(y^2.\)

Step 3: Combine the simplified coefficients and variables

Putting it all together, we get -5x^3y^2.

Therefore, (\(-15x^5y^3 + 21x^5y^7\)) divided by (\(3x^2y^5\)) simplifies to\(-5x^3y^2.\)

For more such information on: expression

https://brainly.com/question/1859113

#SPJ8

Answer:

26

Step-by-step explanation:

2 plus 24 is 26

Answer:7 familes

21 divided by 3=7

Step-by-step explanation:

Answer:

7 families

Step-by-step explanation:

xnnhcnhffnhdbhdgndnydyndn

Answer:

when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18

Step-by-step explanation:

When it has the same numbers for its numerator and denominator it will be 100%

Public opinion polls use sample sizes of more than 1000 people, rather than smaller sample sizes in order to obtain more accurate and reliable results.

Public opinion polls are surveys conducted to gather data and insights on the opinions, attitudes, and preferences of a particular population or a specific group of individuals.

Public opinion polls use sample sizes of more than 1000 people for the following reasons:

Learn more about public opinion polls at: https://brainly.com/question/10404069

#SPJ1

The population is estimated to increase by approximately 38,880 people in 1 day.

To calculate the population increase in 1 day, we first need to convert the birth and death rates to a per-day basis. Since there are 60 seconds in a minute and 60 minutes in an hour, there are 60 x 60 = 3600 seconds in an hour, and 24 x 3600 = 86,400 seconds in a day. Therefore, in a day, the population will increase by: [(9 people/2 seconds) x (86,400 seconds/day) / 2] - [(3 people/2 seconds) x (86,400 seconds/day) / 2] = 38,880 people/day.

We multiply the per-second rates by the number of seconds in a day (divided by 2 since we are counting births and deaths separately) to get the per-day rates. We subtract the death rate from the birth rate to get the net population increase per day.

Learn more about rates here:

https://brainly.com/question/14731228

#SPJ4

The value of y when x = 17 is 2.80 .

Given,

y varies inversely as the square of x

we know that

If y varies inversely as the square of x

then

the equation is equal to

yx² = k

where

k is the constant of proportionality

step 1

Find the constant k

For y=10, x=9

substitute the given values

10 * 9² = k

k = 810

Thus,

we have the equation,

yx² = 810

step 2

Find the value of y when the value of x=17

substitute in the equation

y * 17² = 810

y = 2.80

Know more about inverse relation,

https://brainly.com/question/32847787

#SPJ4

The expected money deposited in Clarie's account in next 12 months is listed below:

First, we must derive a formula that will generate the geometric sequence for the money remaining in Clarie's account:

\(c = c_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}\)     (1)

Where:

If we know that \(c_{o} = 300\) and r = - 50, then the money left for each month is shown in the image attached below.

The image quality is poor to the point of being very hard to read. However, it coincides with the complete statement, which is presented in the question.

To learn more on geometric series: https://brainly.com/question/4617980

#SPJ1

A function showing the value of the account after t years,

⇒ \(A = 2000(1 + 0.054)^{t}\)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

$2,000 is invested in an account earning 5.4% interest (APR).

Now, For interest compounding continuously, we need this formula:

⇒ \(A = P(1 + \frac{r}{n} )^{nt}\)

Where, A is Amount at some time t

P is the initial amount

r is the interest rate (as a decimal)

t is number of years

For our problem, we would plug in:

P = 2,000

r = 0.054

Hence, We get;

A function showing the value of the account after t years,

⇒ \(A = 2000(1 + 0.054)^{t}\)

For one year the interest would be like this;

⇒ (1 + 0.054) - 1

⇒ 0.054

⇒ 5.4%

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

\(\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}\)

so:

x + y = 5

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

Learn more about Euler's criterion here:

brainly.com/question/12977984

#SPJ11

The fill up for the missing steps are:

Note that we are given:

Based on the definition of perpendicular lines, ΔFHG ~ ΔKJG  are known to be right angles.

So: Δ FHG ≅  ΔKJG due to the fact that all the right angles are congruent.

ΔFHG  and  ΔKGJ are vertical angles and as such, the angle are congruent to angle  ΔKGJ

Based on AA similarity theorem, ΔFHG ~ ΔKJG

Due to the above, the fill up for the missing steps are:

Learn more about congruent angles from

https://brainly.com/question/7724930

#SPJ1

False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.

What does the term "echelon form" mean?

What purpose does echelon matrix serve?

Learn more about echelon form

brainly.com/question/14693506

#SPJ4

Answer:

the correct answer is A

Step-by-step explanation:

i put B because thats what the first user said it was  and i got it wrong on my quiz, the quiz shows the corret answer is A

To find out the number of watermelons in 2.25 moles of watermelons, we need to use Avogadro's number. Avogadro's number is 6.022 x 10²³. The molar mass of watermelon is 286.6 g/mol.

Given:2.25 moles of watermelons.

To find: The number of watermelons in 2.25 moles of watermelons.

We know that1 mole of watermelons = 6.022 x 10²³ watermelons

Thus,2.25 moles of watermelons = 2.25 x 6.022 x 10²³ watermelons

= 13.5485 x 10²³ watermelons

= 1.35485 x 10²⁵ watermelons.

Therefore, there are 1.35485 x 10²⁵ watermelons in 2.25 moles of watermelons.

#SPJ11

Learn more about moles and watermelons https://brainly.com/question/29367909

The probability of the car encountering it's first red light on the third day, i.e., P(Y = 3) will be 0.1479

As per the question statement, assuming that "Y" denotes the number of days pass up to and including the first day on which the car encounters a red light, a traffic light at a certain intersection is green 55% of the time, yellow 10% of the time, and red 35% of the time and a car approaches this intersection once each day.

We are required to calculate the probability of the car encountering it's first red light on the third day, i.e., P(Y = 3)

Here, Probability of encountering a Red light = 0.35, since traffic light at the intersection is red 35% of the time.

And "Y" is the number of days that pass up to and including the first time the car encounters a red light, i.e.,

The distribution here is a geometric one, where

P(Y = 3)

= P(Not red light in initial 2 lights) * P(red light in third light)

= [(1 - 0.35)² * 0.35]

= 0.1479

Probability: It is a branch of Mathematics, that deals with the numerical descriptions concerning the extent to which an event is likely to occur, or how likely it is for a proposition to be true, and is measured by the ratio of the favorable cases to the whole number of cases possible.

To learn more about Probability, Click on the link below.

https://brainly.com/question/13681003

#SPJ4

Answer:

32 polo, 28 measles

Step-by-step explanation:

4p + 2m = 184  <-- doses

p + m = 60        <-- vaccines

solve:

4p + 2m = 184

-2p - 2m = -120     <-- multiplied both sides by -2

------------------------

2p = 64

p = 32

plug back in:

32 + m = 60

p = 32

m = 28

The resulting value of the y-coordinate will be -6

Translations is a way of changing the position of an object on the xy-plane. From the square shown, the coordinate of point B is (1, 2)

If the coordinate point is translated 3units to the right and 8 units down, the resulting coordinate of B will be (1-3, 2 - 8) = (-2, -6)

Hence the resulting value of the y-coordinate will be -6

Learn more on translation here: https://brainly.com/question/12861087

#SPJ1

Answer:

1) 35.07

2) 123.6

3)3.9

4) 102.83

5)97.5

6)6.93

Tan is the right answer

hope it helps you ❣❣

Answer:

tan

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = \(\frac{opposite}{adjacent}\) = \(\frac{b}{4.5}\) ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to 1 dec. place )

Answer:

\(2<x<10\)

In a case whereby Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil the amount of peanut butter she should use can be expressed as  2 cups of peanut butter.

The concept that will be used is simplification. Base on the provided information from the question,

(1/2 cup of oil )= (1 cup of peanut butter)

we can represent (1 cup of oil)  as  (x)

The if we perfor a Cross Multipliplication we have:

(1/2x) =( 1 × 1)

x = (1 × 2/1)

x = 2 cups of peanut butter.

Learn more about simplification at:

https://brainly.com/question/30170850

#SPJ1

7 hours long was the trip for Imani to drove to the lake and back.

Speed is rate of change of position of any object from place to another . Formula to calculate speed is

Speed = Distance / Time

Speed at which he drove to the lake = 30Km/h

Speed at which he drove back = 40Km/h

Time taken in returning back from the trip = 3 hours

Distance travelled when time taken is 3 hours and speed is 40Km/h = Speed ×Time taken =

40 × 3 = 120 Km

Time taken by Imani to drove to the lake = Distance / Speed

= 120 / 30

= 4 hours

Total hours trip took = 4 + 3 = 7 hours

To know more about Speed here

https://brainly.com/question/5147964

#SPJ4

Answer:

A= 90 , b= 12 , c=60,

Step-by-step explanation:

cuz im smart like that

The possible values of X, such that the probability of rolling a sum of 2004 is the same as rolling a sum of X when rolling n standard 6-sided dice, depend on the coefficients in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.of X.

To determine the possible values of X such that the probability of rolling a sum of 2004 is the same as the probability of rolling a sum of X when rolling n standard 6-sided dice, we can use the concept of generating functions.

The generating function for a single 6-sided die is (x + x^2 + x^3 + x^4 + x^5 + x^6). When we roll n dice, the generating function becomes (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.

We want the coefficient of x^2004 in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n to be the same as the coefficient of x^X. This means that the probabilities of rolling a sum of 2004 and X are equal.

To find the possible values of X, we can expand the generating function (x + x^2 + x^3 + x^4 + x^5 + x^6)^n using techniques like the binomial theorem or using computational tools.

By examining the coefficients, we can determine the possible values of X for which the probability is the same as rolling a sum of 2004.

Without performing the calculations, it is difficult to determine the exact values of X in this scenario. The possible values of X will depend on the number of dice rolled (n) and the corresponding coefficients in the expanded form of (x + x^2 + x^3 + x^4 + x^5 + x^6)^n.

To learn more about probability visit : https://brainly.com/question/13604758

#SPJ11

Answer: 147m

Step-by-step explanation: the tower's height can be calculated using the following equation: height = (shadow length/pole shadow length) * pole height Therefore, the tower's height is: height = (45.5/1.01) * 2.8 height = 146.5 m The tower's height is approximately 147 m, rounded to the nearest meter

Answer:

B is related to the last term of trinomial

Last term on the left hand side of the equation = Last term on the right hand side of the equation.

The last term on the right hand side is gotten by multiplying all the terms on the right of the two expression.

-32y²=  2*-8y*By

-32y² = -16By²        Compare both

32 = 16B

16B = 32

B = 32/16

B = 2.

Answer:

B = 2

Step-by-step explanation:

2x^2 − 12xy − 32y^2

Factor out a 2

2 ( x^2 -6xy -16y^2)

Factor inside the parentheses

What two numbers multiply to -16 and add to -6

-8 * 2 = -16

-8+2 = -6

2( x-8y) ( x+2y)

B = 2