Which expression is equivalent to…

The number of ways to check off one answer to each question is; 20ways.

The number of ways to check off one answer to each question and get it wrong is; 15ways.

a) Since each question has four possible answers, it therefore follows that the student can choose any of 4 options in each question and consequently, the number of different ways is; 4 × 5 = 20.

b) Since only one option is correct, it follows that there are 3 wrong choices in each question case and hence, the number of ways to pick one wrong answer is; 3 × 5 = 15.

Read more on combinations;

https://brainly.com/question/4658834

#SPJ1

Pile Y has the greater mean number of pages per book because it is 5 books less than pile W.

From the complete information, we can deduce that the number of each pile of book is given as follows:

For pile W;

Red books = 10 × 5 = 50 red books.

Blue books = 5 × 5 = 25 blue books.

Therefore, total books in pile W = 50 + 25 = 75 books.

Mathematically, the mean for each pile can be calculated by using the following formula:

Mean = [F(x)]/n

Mean = 75/10

Mean = 7.5.

For pile Y;

Red books = 10 × 5 = 50 red books.

Mean = [F(x)]/n

Mean = 50/5

Mean = 10.

In conclusion, pile Y has the greater mean number of pages per book because it is 5 books less than pile W.

Read more on mean here: https://brainly.com/question/9550536

#SPJ1

Step-by-step explanation:

x = number of small boxes

y = number of large boxes

these equations model the situation :

x + y = 8

12x + 45y = 195

FYI - the solution :

from the first equation we get

x = 8 - y

we use that in the second equation

12(8 - y) + 45y = 195

96 - 12y + 45y = 195

33y = 99

y = 3

x = 8 - y = 8 - 3 = 5

The area and the perimeter of the figure will be 38.13 in² and 23.42 inches respectively.

The area will be:

= Area of semi circle + Area of rectangle

= (1/2 × 3.14 × 3²) + (6 × 4)

= 14.13 + 24

= 38.13 inches²

The perimeter will be:

= (3.14 × 3) + (4 + 6 + 4 + 9.42)

= 23.42 inches

Learn more about area on:

brainly.com/question/4694841

#SPJ1

Answer:

E

Step-by-step explanation:

The diagram below shows the correct use of diverging lens for correction of myopia.

The statement which describes how the data should be plotted on a coordinate grid is: C. from the origin, go 9 units to the right and 12 units up.

A coordinate grid can be defined as a two-dimensional plane which comprises a horizontal line (x-axis) and a vertical line (y-axis) that are perpendicular to one another.

For this coordinate grid, the number of letters in the data for word 2 should be plotted on the x-axis and the percentage of students who spelled the word correctly on the y-axis.

Based on the table, the number of letters for word 2 is equal to 9 while the percentage of students who spelt it correctly is 12.

In conclusion, to plot the data on a coordinate grid, from the origin, go 9 units to the right and 12 units up.

Read more on coordinate grid here: https://brainly.com/question/22235711

#SPJ1

Complete Question:

The table of values below shows data for a five-word spelling test. Number of Letters vs. Percentage who Spelled Correctly Word Number of letters in the word Percentage of students who spelled the word correctly. Which describes how the data for word 2 should be plotted on a coordinate grid?

Answer:

2/11

Step-by-step explanation:

A reciprocal is a number or fraction flipped. So, 5 1/2=11/2. 11/2 flipped is 2/11.

Answer:

5/11 odds  /   45.45% chance of being even-numbered

Step-by-step explanation:

There are 5 even-numbered balls (2, 4, 6, 8, 10) and 6 odd-numbered balls  (1, 3, 5, 7, 9, 11). So, 5 / 11 balls are even-numbered

if a ball is selected, it has a chance of 5/11 for being even-numbered

5/11 also = 45.45 % [rounded] chance of being even-numbered    

The algebraic expression that is a polynomial is -6x³ + x² - √5

Polynomials are algebraic expressions that consist of variables and coefficients.

In a simpler term a polynomial can have constants, variables and exponents, but never division by a variable.

Therefore, the polynomial among the options is as follows:

-6x³ + x² - √5

learn more on polynomial here: https://brainly.com/question/12401404

#SPJ1

Answer:

= -1.2 + 3.28d

Step-by-step explanation:

0.4 * -3 + 0.4 * 8.2d

= -1.2 + 3.28d

Answer: -8

Step-by-step explanation:

[tex]\frac{5w+4}{3}=\frac{3w}{2}[/tex]

Cross-multiplying,

[tex]2(5w+4)=9w\\10w+8=9w\\w+8=0\\w=\boxed{-8}[/tex]

First, let's edit the given equations.

[tex]2(32-x^2)=4x4-2\\\\64-2x^2=14[/tex]

Then, to check if [tex]x=5[/tex] is a solution to this equation, let's put the [tex]5[/tex].

[tex]64-2(5)^2=14\\\\64-50=14[/tex]

That's correct!

[tex]4^2-x\leq x(6-5)\\\\16-x\leq 6x-5x\\\\16-x\leq x\\\\16\leq 2x\\\\x\geq 8[/tex]

Then, we must put [tex]15[/tex].

[tex]15\geq 8[/tex]

That's correct!

Good luck! If you have any question(s), then feel free to ask in comments!

Hi Student!

Let us first look at what the first question is asking for us to do and what is provided to do that.  Looking at the first question we see that they are asking if x = 5 is a solution to the expression that they provided.  This type of problem is fairly simple and what we basically do is just plug in the value 5 for the variable x in the expression and the simplify both sides to see if they are the same.

Plug in the values

Simplify the square and subtract inside of the parenthesis

Simplify both sides

Looking at the final expression that we have, we can see that we have 14 is equal to 14 which is true and therefore x = 5 is a solution of the expression provided.

Moving onto the next question, we can see that it asks for us to do something really similar to the previous question but this time to check if x = 15 is a solution of a different expression.  Let's follow the same steps that we did last time.

Plug in the values

Distribute the x

Simplify both sides

Looking at the final expression that we have, we can see that it states that 1 is less than or equal to 15 and that is true.  Therefore, x = 15 is a solution of the expression that was provided.

5y³(y-2)-15y(y-2)

= (y-2)×(5y³-15y)

Answer:

XIV - VI = VIII

Step-by-step explanation:

14 - 6 = 8

Hope this helps

Answer:

y,3y,4y,5y,6y,7y,8y,9y,10y ----------

Step-by-step explanation:

because if the variable is similar with y it is like term of 2y

Answer:

y,3y,4y,5y,6y,7y,8y,9y,10y ----------

Step-by-step explanation:

because if the variable is similar with y it is like term of 2y

Answer:

68 degrees Fahrenheit

Step-by-step explanation:

to find the average also known as mean, just add the numbers and divide by how many numbers there are.

66+71+68+70+65=340

Now, divide by how many numbers there are. There are 5.

So,

340÷5 = 68

the average is 68.

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Answer:

variable, In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Step-by-step explanation:

In Maths, a variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. The variables are specially used in the case of algebraic expression or algebra. For example, x+9=4 is a linear equation where x is a variable, where 9 and 4 are constants.

Answer:

1) 8

2) the median of the scores is 81

3) So, 8 students scored in the 70s, and the median score is 81

Step-by-step explanation:

1) the number of numbers listed is how many numbers there are

2) the median is the middle number! when you list all of the numbers, the one in the middle is the median!

let me know if any of this is confusing and i'll try to explain it further :)

Answer:

here's the answer

Step-by-step explanation:

19/100*x=6.46

x=$34

The amount of Rita deposit is $2556.

The interest calculated on the principal amount or the initial investment.

It is given in the question

If Rita receives $63.90 Interest for a deposit earning 6% simple interest for 150 days.

P = ?

S.I. =  $63.90

Interest = 6%

T = 150days

S.I. = (P *R*T)/100

63.90 = P * 6 * 150*100 /360

63.90 * 360*100 /( 150 *6) = P

P = $2556

Therefore the amount of Rita deposit is $2556.

To know more about Simple Interest

https://brainly.com/question/22621039

#SPJ1

Find when f(x) = 0. By factorizing, we have

-x² + 8x - 7 = - (x - 7) (x - 1) = 0

so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.

Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).

• [0, 1) : at x = 0, we have f(0) = -7 < 0

• (1, 7) : at x = 2, we have f(2) = 5 > 0

• (7, 10] : at x = 8, we have f(8) = -7 < 0

This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.

Answer:

hi,

Step-by-step explanation:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Here the system has one solution.

Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials [tex]q(x)[/tex] and [tex]r(x)[/tex], respectively, such that

[tex]x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)[/tex]

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

[tex]r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}[/tex]

A function assigns the value of each element of one set to the other specific element of another set. The inverse of the function g(x)=-2x -3.

A function assigns the value of each element of one set to the other specific element of another set.

Two function are inverse of each other if,

f(g(x))=x

g(f(x)) = x

Since the function is inverse, therefore, we can write,

g(f(x)) = a(-1x/2 - 3/2) + b

x = -ax/2 - 3x/2 + b

-a/2 = 1

a = -2

-3a/2 + b = 0

b= -3

Thus, the inverse of the function g(x)=-2x -3.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

the inverse of the function g(x)=-2x +3 .

Step-by-step explanation:

Answer:

square root = not polynomial

Answer:

The Median Best Describes The Monthly Rents

the mean is add up all the numbers and then divide by the amount of numbers so it is 4820 then divide by 5 = 964 so the mean of all of then is 964

the median you have to put it in slamets to biggest so 650 650 800 820 1900 and then you have to put the one(s) in the middle witch is 800 so the median is 800

the mode is the most common numbers that show up and there is 2 650 and one of everything else so the mode is 650

Hope This Helped

Try this suggested option:

Step-by-step explanation:

f(x)=2(2x²+4x)+3; ⇔

f(x)=4(x²+2x)+3; ⇔

f(x)=4(x²+2x+1)+3-4; ⇔

f(x)=4(x+1)²-1; ⇔

f(x)=(2x+1)(2x+3).

Then the roots are:

[tex]\left[\begin{array}{ccc}x=-1.5\\x=-0.5\end{array}.[/tex]