Please answer quickly! A. There are no errors. All of the expressions are equivalent. B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends. C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8. D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied [tex]\frac{1}{2}[/tex] (-6).

Answer:

6 matches

Step-by-step explanation:

Let’s call the teams A B C D

A will play B C D = 3 matches

B will play only C and D as it already played A, making 2 matches

C will play D, making 1 match

D has already played all

Total number of matches is thus 3 + 2 + 1 = 6 matches

Answer:

Option C is correct.

The standard deviation of B is greater.

Step-by-step explanation:

Distribution A is given

A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Then distribution B is all of distribution A including the percentage for the package where the least kernels popped

B = {74, 91, 94, 89, 93, 87, 92, 86, 87, 92, 91}

Taking the statements one at a time

- The mean of A is the same as the mean of B.

Mean = (sum of variables)/(sample size)

It is evident that most of the percentages in distribution A hover around a consistent spot, hence, the mean too will land around that consistent spot. The mean of distribution A as calculated = (902/10) = 90.2

Mean of distribution B should hover around that spot too, but a new addition of 74 is expected to bring the mean down.

Mean of distribution B = (976/11) = 88 73

Hence, statement 1 is incorrect as the mean of A isn't the same as the mean of B.

- Including the percentage for the package where the least kernels popped causes the center of the data to increase.

The center of the data is synonymous with the mean and it is evident that this centre doesn't increase after including the percentage for the package where the least kernels popped causes the center of the data to increase, rather, it drops from 90.2 to 88.73.

Hence, this statement is false.

- The standard deviation of B is greater

Standard deviation measures how far away from the mean the variables of the distribution are. And since we've established that the variables of distribution A hover around a spot, hence, the stamdard deviation is expected to be small. But distribution B has all of the variables of distribution A plus a value that is very far away from the Mean (74), hence, it is easy to see that distribution B will have the greater standard deviation. Let us now calculate.

Standard deviation = σ = √[Σ(x - xbar)²/N]

x = each variable

xbar = mean

N = Sample size

Standard deviation for distribution A = 2.638

Standard deviation for distribution B = 5.293

Hence we can conclude that this statement is true and the standard deviation of distibution B is greater.

Hope this Helps!!!

Answer:

= 2y^2+18y+6/  y^3+8y^2+13y+6

Step-by-step explanation

Answer:

2(y^2+9y+3 / (y+1)^2(y+6)

Step-by-step explanation:

To solve this -->

Fraction --> Find the LCD -->

Combine all

Answer:

2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.

Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.

Step-by-step explanation:

Answer:

x = 155

Step-by-step explanation:

155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel

x = 155

Answer:

y=15

Step-by-step explanation:

im guessing you meant 9:y = 3:5

(9*5)/y = 15

Answer:

Meena's is 5 and her father is 30

Step-by-step explanation:

x+5+6x+5=2x+6x+5

x+6x-2x-6x=5-5-5

-x =-5

x =5 Meena

6*5

=30 Her father's age

Have a good day and stay safe!

Answer:

A. To add like terms, add the coefficients, not the variables.

C. The simplified expression is 4 x + 3 y + 6 z.

D. Only combine terms which contain the same variable.

Facts could be applied to simplify the expression to add like terms, add the coefficients, not the variables.

We have to determine the steps involved to simplify the expression.

An expression is a set of terms combined using the operations addition, subtraction, multiplication, and division.

For simplifying the expression this expression.

A. To add like terms, add the coefficients, not the variables.

C. The simplified expression is 4 x + 3 y + 6 z.

D. Only combine terms which contain the same variable.

Therefore by applying the above steps we can simplify the given expression.

To learn more about the expression visit:

https://brainly.com/question/723406

Answer:

0.07% probability of selecting all students

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the jury is selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability of selecting all students?

Desired outcomes:

8 students from a set of 12. So

[tex]D = C_{12,8} = \frac{12!}{8!4!} = 495[/tex]

Total outcomes:

8 people from a set of 12+12 = 24. So

[tex]T = C_{24,8} = \frac{24!}{8!16!} = 735471[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{495}{735471} = 0.0007[/tex]

0.07% probability of selecting all students

Answer:

True.

Step-by-step explanation:

y = -3x + 20

Put x as 5, then y output should be 5.

y = -3(5) + 20

y = -15 + 20

y = 5

True, the line with slope -3 passes through points (5, 5).

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the point values to solve for the midpoint:

[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]

Simplify:

[tex](\frac{10}{2}, \frac{1}{2})[/tex]

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

Feel free to ask for more if needed or if you did not understand something.

Answer:

D

Step-by-step explanation:

Answer:

The correct option are;

1) Could not

2) Is

Step-by-step explanation:

The parameters given are;

The survival rate of drivers using seat-belt = 67%

The survival rate of drivers not using seat-belt = 41.5%

The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001

Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;

The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.

Answer:

C. G(x) is a negative number with a small absolute value

Step-by-step explanation:

As x increases, G(x) goes towards 0 from the a negative quadrant.

Answer:

A shift to the right 8 units

Step-by-step explanation:

Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.

Answer:

b) [tex]x^2 + 6x + 8[/tex]

Step-by-step explanation:

Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.

Deje que la longitud y el ancho de la habitación antes de la expansión sean x.

La nueva longitud de la sala es (x + 4).

El nuevo ancho de la sala es (x + 2).

La nueva área de la sala será:

[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]

Esa es la nueva área de la habitación.

Answer:

x(x+2)^2

Step-by-step explanation:

x^-3 +2x^2 +x

Taking x as common

x(x^2+2x+1)

x[(x)^2+2(x)(1)+(1)^2]

x(x+2)^2

I hope it will help you

Answer:

the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school

Answer:

No solution

Step-by-step explanation:

Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.

If the question is 2x + 1 < 10

Step 1: Isolate x

2x < 9

Step 2: Divide both sides by 2

x < 9/2

x < 4.5

Answer:It is what it is

Step-by-step explanation:

Answer:

Parallel lines do not intersect.

Parallel lines are like an equal sign

========================

They go Straight across

While perpendicular lines intersect.

A lot of squares are parallelograms, they only have parallel lines.

Hope this helps

~ヾ(・ω・)

Answer:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum drug will be in the body:

Maximum drug will be in the body right after the last dose, when the amount will be:

Answer:

-4n³ - 8n² - 4n

Step-by-step explanation:

Answer:

D. -√3/2

Step-by-step explanation:

Remember your unit circle.

Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.

Answer:

D. -√3/2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28

Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.

The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28

Answer:

The first choice

Step-by-step explanation:

Answer:

$3.77 * 10^7

Step-by-step explanation:

$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7

Answer:

  a. p(n) = 3n -1

  b. $101.50

  c. 9 years

Step-by-step explanation:

a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:

  for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.

The usual formula for the n-th term of an arithmetic sequence applies:

  a[n] = a[1] +d(n -1)

  a[n] = 2 +3(n -1) = 3n -1

In month n, the population of lab rats is ...

  p(n) = 3n -1

__

b. After 10 months, the population will be ...

  p(10) = 3·10 -1 = 29

At $3.50 per rat, the cost will be ...

  29 · $3.50 = $101.50

__

c. We want to find for p(n) = 326.

  326 = 3n -1

  327 = 3n

  109 = n

Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.

Answer:

The answer is b I believe

Step-by-step explanation:

Answer:

x = 5.25

Step-by-step explanation:

width = x

length = (x + 8)

length that overlaps with width = (x + 8) - x = 8

perimeter (clockwise)

= 90

= x + 8 + (x + 8) + x + (x + 8) + x + 8 + (x + 8) + x + (x + 8)

= 8x + 6(8)

= 8x + 48

8x + 48 = 90

8x = 42

x = 5.25

Answer:

The correct options are;

a: line AB Is a diameter of circle O is the b: midpoint of AB

Step-by-step explanation:

Given that the circle with circumscribes the triangle, we have;

The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center

Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.

Answer:

line AB

midpoint

Step-by-step explanation: