Thirteen students in a class of 20 are females. Five students are to be randomly selected from the class: (a) In how many ways can we select the 5 students? (b) In how many ways can we select a group of 3 females and two males? (c) What is the probability that the selected 5 students include 3 females?

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

Learn more about Equation here

https://brainly.com/question/19626

#SPJ1

The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

The average rate of change of the substance is given as -2.4

When the value of t is ten years, the radioactive substance in grams is given as 6

When t is 0 on the graph, the gram is given as 3o grams

The rate of change would be

6 - 30 / 10 - 0

= -24 / 10

= - 2.4

The average rate of change is not a good measure. This is because what we have here is an exponential decay

Read more on average rate of change here:https://brainly.com/question/8728504

#SPJ1

The ratio of basketballs to soccer balls is 2 : 1

The quantity which would be written first if basketballs to soccer balls is 2 : 1 is basketball

This refers to a number representing a comparison between two or more named things.

If the ratio of basketballs to soccer balls = 2 : 1

This means,

Basketball : soccer ball = 2 : 1

Therefore, Basketball is the quantity which would be written first because it comes first in the given expression.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Answer:

Transitive property of equality would justify this statement.

If a = b and b = c then a = c

Step-by-step explanation:

In math, we have a formula for this property. It says that if a = b and b = c, then a = c. This is telling us that if two things are equal and the second thing is equal to a third, then because the first two things are equal, it also means that the first is equal to the third as well.

For example of a = 8 , b = 8 then a = 8 must be equal to c .Since both a and 8 are equal to b, they must also be equal to each other.

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

Learn more about multiplication -

https://brainly.com/question/10873737

#SPJ4

Answer:

x= -2

Step-by-step explanation:

a6=a2+4d

-x+17=x+1+4(5)

-x+17=x+1+20

-x-x=1+20-17

-2x=4

x= -2

Answer:

2x+5

Step-by-step explanation:

x+x+5

2x+5

Area of a triangle formula: 1/2 x base x height

Area = 1/2 x 2 x 3.8

Area = 3.8 square km

Answer:

The area of triangle = 3.8km²

Step-by-step explanation:

Given :-

A triangle having length of base is 2km and length of height is 3.8km.

To find :-

Solution :-

We know that ,

Area of triangle = ½ × Base × height

Area of triangle = ½ × 2km × 3.8km

Area of rectangle = ½ × 7.6km²

Area of triangle = 3.8km²

Answer:

1.) A. 8/9

2.) C. 4/9

3.) B. 7/11

4.) D. 10/3

5.) C. 0.06 (repeating)

Step-by-step explanation:

With 95% confidence that the true population mean weight of the sardine cans is between 7.813 oz and 7.887 oz.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

here, we have,

In this scenario, we have a cannery that claims their sardine cans have a net weight of 8 oz. We want to test this claim by taking a simple random sample of 30 cans and measuring their weights

From our sample of 30 cans, we calculated a sample mean of 7.85 oz and a standard deviation of 0.1 oz. The sample mean is an estimate of the population mean, and the standard deviation tells us how much the weights in our sample vary from the mean.

To determine the cutoff values for the middle 95% of the mean weights in this distribution based on the sample data, we can use the t-distribution with n-1 degrees of freedom. The degrees of freedom in this case are 29, which is one less than the sample size.

Using a t-distribution table or calculator, we can find the t-value for a 95% confidence level with 29 degrees of freedom, which is approximately 2.045. We can use this t-value to calculate the margin of error for the sample mean as:

margin of error = t-value * (standard deviation / square root of sample size)

= 2.045 * (0.1 / √(30))

= 0.037

The margin of error tells us how much the sample mean is likely to vary from the true population mean. To find the cutoff values for the middle 95% of the mean weights, we add and subtract the margin of error from the sample mean as follows:

lower cutoff value = sample mean - margin of error

= 7.85 - 0.037

= 7.813

upper cutoff value = sample mean + margin of error

= 7.85 + 0.037

= 7.887

To know more about standard deviation here.

brainly.com/question/16555520

#SPJ1

Implementing the complete code requires a MIPS assembly environment such as MARS, and it's recommended to refer to the MIPS instruction set architecture documentation and programming guides for detailed instructions and syntax.

To calculate f=(A×D+A×C) and g=(B×B−3×D) without using any multiplication instructions, you can use a combination of addition, subtraction, and bit shifting operations. Here's a general outline of the steps involved:

Initialize the necessary registers to store the input values A, B, C, and D, as well as the intermediate results and final values of f and g.

Prompt the user to enter the four positive integers A, B, C, and D using the syscall instruction.

Implement a custom multiplication routine using a loop. This routine should iterate through the bits of the input values A and B, performing bit shifting and addition operations to simulate multiplication.

Calculate f=(A×D+A×C) by multiplying A with D and A with C using the custom multiplication routine. Store the intermediate results in temporary registers.

Calculate g=(B×B−3×D) by multiplying B with B and 3 with D using the custom multiplication routine. Subtract the product of 3 and D from the product of B and B. Store the result in a temporary register.

Convert the decimal values of f and g to binary representation using bit shifting and logical operations. Store the binary representations in separate registers.

Output the decimal values of f and g using the syscall instruction.

Output the binary representations of f and g using the syscall instruction.

Remember to add appropriate comments to your code to improve readability and understanding.

To learn more about MIPS here:

https://brainly.com/question/31435856

#SPJ4

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

To learn more about mid-point, here:-

https://brainly.com/question/11302835

#SPJ4

Answer:

12

Step-by-step explanation:

3 + 3 + 3 + 3 = 12

Brainliest??? Plzzz!!!.....

Answer:

28.1%

Step-by-step explanation:

A town's population in 2019 was 438,000. The town's current population is 561,000. What is the percent of change?

The formula for Percent change =

Final value - Initial value/Initial value × 100

= 561000 - 438000/438000 × 100

= 123000/438000 × 100

= 28.082191781%

Approximately = 28.1%

Therefore, percent change = 28.1%

Answer:

3c +11 .........................

Answer:

Please mark brainliest and I hope this helps :)

Step-by-step explanation:

1.5a^12b^6

2.xy^10

3.6x^144

4.9a^12b^4

5.4x^4

6.-9bc^2

Answer:

answer - x = − 12/7

Answer:

\( - 3x = 4.2 \\ - x = \frac{4.2}{3} \\ - x = 1.4 \\ x = - 1.4 \\ thank \: you\)

The length of sides BC and XC in the triangle are 8.66 and 10 units respectively

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Trigonometric ratio is used to show the relationship between the sides and angles of a right triangle.

From the triangle shown, using trigonometric ratio:

sin(30) = 5/XC

XC = 10

Also:

tan(30) = 5/BC

BC = 8.66

The length of BC and XC are 8.66 and 10 units respectively

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

1999 The most points scored in an NHL career is 2,857, achieved by Wayne Gretzky (Canada) while playing for the Edmonton Oilers (Canada), Los Angeles Kings, St Louis Blues and New York Rangers (all USA) from 1979 to 1999. The points total comprises 894 goals and 1,963 assists in 1,487 games.

Step-by-step explanation:

a) Wayne Gretzky's average points per game is approximately 1.9202.

b) Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

a) To calculate Wayne Gretzky's average points per game, we divide the total points scored (2857) by the total number of games played (1487):

Average points per game = Total points scored / Total games played

Average points per game = 2857 / 1487 ≈ 1.9202

Wayne Gretzky's average points per game is approximately 1.9202.

b) To find out how many more points Wayne Gretzky would have scored if he had played 79 more games, we can use the average points per game calculated in part (a).

We know that his average points per game is approximately 1.9202. So, to find the additional points in 79 games, we can multiply the average points per game by the number of additional games:

Additional points = Average points per game * Additional games

Additional points = 1.9202 * 79 ≈ 151.5438

Wayne Gretzky would have scored approximately 151.5438 more points if he had played 79 more games.

To know more about average points:

https://brainly.com/question/16699422

#SPJ2

The total price of the product, considering the sales tax, is given as follows:

$324.

The total price is obtained applying the proportions in the context of the problem, considering the price before tax plus the sales tax.

The price before tax of the product is given as follows:

$300.

The sales tax is given as follows:

8% of the total price.

Hence the amount that is paid in tax is 8% = 8/100 = 0.08 out of the total price of $300, hence:

0.08 x 300 = 24.

Then the total price is given by the addition of the $300, which is the initial price, plus $24 in taxes, hence:

300 + 24 = 324.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Let's break down the expression for Tony's combined total earnings step by step.

First, we consider Tony's earnings as a tutor. He earns $11 per hour as a tutor, so the amount he earns from tutoring is given by the product of his hourly rate ($11) and the number of hours he worked as a tutor (t). This can be represented as $11t.

Next, we consider Tony's earnings as a waiter. He earns $13 per hour as a waiter, so the amount he earns from waiting tables is given by the product of his hourly rate ($13) and the number of hours he worked as a waiter. Since Tony worked a total of 106 hours this month and spent t hours as a tutor, he must have worked (106 - t) hours as a waiter. This can be represented as $13(106 - t).

To calculate Tony's combined total earnings for the month, we add the amount he earned as a tutor ($11t) to the amount he earned as a waiter ($13(106 - t)). This yields the expression:

Earnings = $11t + $13(106 - t)

This expression represents the total dollar amount Tony earned this month, considering the number of hours he worked as a tutor (t) and waiter (106 - t).

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

Learn more about polynomial division method here:

https://brainly.com/question/13763165

#SPJ11

Answer:

30%

Step-by-step explanation:

30 blocks are shaded out of the 100

Here's your answer, folks:

Without substitution, yes, here? No.

The value of the substituted numbers is essential to finding the correct answer in algebra.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

5 x 3 = 15

15 squared or cubed = 15 x 15 || 15 x 15 x 15

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

In that case, 15 times a number could not possibly be equal to 5 x 3 unless x was actually 1, which we do not know.

Answer:

NO

Step-by-step explanation:

5*3^x\(\neq\)15x

because 3 is raised to the x power not multiplied by it, so it is not equal

Answer:

it is the second option

Step-by-step explanation:

Answer:

Step-by-step explanation: you would start with a dot on the y-axis at -2, then you would go up 2 and over 5 cuz the slope is 2/5. just keep doing this and you’ll have your graph

The solution for the system of inequalities is (-0.43,4.15).

What is an inequality?

An inequality statement in algebra uses the inequality symbol to illustrate the relationship between two expressions. A symbol of inequality has non-equal expressions on both sides.

We are given a graph on which two inequalities are plotted

First, we need to frame the equations from the points.

For the blue line, we have points (0,2) and (-1,7)

So, using slope-intercept form, we get the equation as

y+5x>2

For the red line, we have points (0,4) and (3,3)

So, using slope-intercept form, we get the equation as

y+0.33x >4

Now, in order to find the solution, we will subtract both the equations

On subtracting, we get

⇒(y+5x) - (y+0.33x) = 2 - 4

⇒y+5x - y-0.33x = -2

⇒4.67x = -2

⇒x = -0.43

Substituting this value in the equation, we get

⇒y+5(-0.43) = 2

⇒y-2.15 = 2

⇒y = 4.15

Hence, the solution for the system of inequalities is (-0.43,4.15).

Learn more about inequality from the given link

https://brainly.com/question/25275758

#SPJ1

Answer:

Step-by-step explanation:

First lets find the side a of the square and the radius r of the circle:

a) We need to find the distance CD

b) We need to find the distance AB

c) As we see CD = 0.57  > AB = 0.26

The ordered pairs represent (x,y)

To know what ordered pair is a solution we need to substitute the values of x and y with the ordered pair and if the result is equal we have a solution to the equation

For example

(0,-7)

x=0

y=-7

-7=5(0)-7

-7=0-7

-7=-7

Due the result is equal the ordered pair (0,-7) is a solution of y=5x-7