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Question 12


A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?


There were about 193 principals in attendance.

There were about 260 principals in attendance.

There were about 557 principals in attendance.

There were about 680 principals in attendance.


Question 13


A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.



Ice Cream Candy Cake Pie Cookies

81 9 72 36 27



Which statement is the best prediction about the number of cookies the college will need?

The college will have about 480 students who prefer cookies.

The college will have about 640 students who prefer cookies.

The college will have about 1,280 students who prefer cookies.

The college will have about 1,440 students who prefer cookies.


Question 14


A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.



Sport Basketball Baseball Soccer Tennis

Number of Students 17 12 27 44



Which of the following graphs correctly displays the data?

histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44

histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44

bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44

bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44


Question 15


The line plots represent data collected on the travel times to school from two groups of 15 students.


A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.


A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.


Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.


Bus 18, with a median of 13

Bus 47, with a median of 16

Bus 18, with a mean of 13

Bus 47, with a mean of 16

Answer:

6

Step-by-step explanation:

Since the two triangles are similar, their ratios of sides must be constant. Therefore:

\(\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6\)

Hope this helps!

Answer:

y = -5

o = 35 degrees

Step-by-step explanation:

If you replace y with -5, the statement  7y = 4y - 15 is correct. You get -35 =  -35. Hope this helped!

Step-by-step explanation:

in a parallelogram we have 2 equally large angles and 2 equally small angles.

the sum of all 4 angles must be 360°.

so let's first determine what angles are together 204°.

if it would be 2 neighboring angles, it would be the sum of a large and a small angle.

and the sum of the remaining 2 angles would be the same (again 204°).

but that that would together be 408°. too much.

so, it can only be that the 2 given angles are a pair of equal angles. and each would be

204/2 = 102°

as they are larger than 90°, they are the large angles in the parallelogram.

so, the other 2 angles are the pair of equally large small angles. together they have

360 - 204 = 156°

and each one is then

156/2 = 78°

Answer:

23/3

Step-by-step explanation:

Convert the mixed number 723 7 2 3 into an improper fraction first by multiplying the denominator (3) by the whole number part (7) and add the numerator (2) to get the new numerator. Place the new numerator (23) over the old denominator (3) .

72/3 as an improper fraction is 23/3.

To convert the mixed number72/3 to an indecorous bit, we follow these way

Multiply the whole number( 7) by the denominator of the bit

= 7 x 3

= 21.

Add the result to the numerator of the bit

= 21 + 2

= 23.

Write the sum as the numerator of the indecorous bit 23.

The denominator remains the same 3.

Thus, 72/3 as an indecorous bit is 23/3.

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The proportion of cars that got more than 25 mpg but no more than 30 mpg is 0.1875 or 18.75%.

The table provides a frequency distribution describing the average miles per gallon (mpg) of 80 cars. The table includes six categories, each of which represents a range of average mpg values. For example, the first category represents cars with an average mpg between 15 and 20, inclusive. The table also includes the frequency and relative frequency for each category.

To find the proportion of cars that got more than 25 mpg but no more than 30 mpg, we need to look at the third category, which represents cars with an average mpg between 25 and 30, inclusive. The frequency of this category is 15, meaning that 15 cars in the sample had an average mpg between 25 and 30.

The relative frequency of the third category is 0.1875. This means that 18.75% of the sample of 80 cars had an average mpg between 25 and 30, inclusive. Therefore, the proportion of cars that got more than 25 mpg but no more than 30 mpg is 0.1875 or 18.75%. This proportion represents the fraction of the total sample that falls within the third category.

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The question is incomplete but probably the full question is:

A researcher conducts a mileage economy test involving 80 cars. The frequency distribution describing average miles per gallon (mpg) appears in the following table.

##   StartBin EndBin AverageMpg Frequency RelFreq

## 1       15     20   [15, 20)        15  0.1875

## 2       20     25   [20, 25)        30  0.3750

## 3       25     30   [25, 30)        15  0.1875

## 4       30     35   [30, 35)        10  0.1250

## 5       35     40   [35, 40)         7  0.0875

## 6       40     45   [40, 45)         3  0.0375

what proportion of the cars got more than 25 mpg but no more than 30 mpg?

Answer:

Step-by-step explanation:

its B darling

The equation of parabola that open upwards with focus 6 units is x²=24y.

A parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. A parabola is a curve where any point at an equal distance from a fixed point  (the focus) and a fixed straight line (the directrix).

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface is also Parabola.

The general equation of Parabola is given by

y = a(x-h)²+ k

where (h,k) is the vertex of parabola.

And the equation of parabola open upward is,

(x-h)² = 4a(y-k)

where (h,k) is vertex and a is focus unit.

⇒ (x-0)² = 4(6)(y-0)

⇒ x² = 24y

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All the statements that must be true are in options \(A, B, D, E\).

Parallel lines are those line which never intersect and maintains a constant distance.

We have,

From the given diagram,

Maple Street and Pine Street run exactly East to West.

And,

Oak Avenue runs exactly North to South.

Now,

From the given diagram,

A. Birch street and Elm street intersect at right angles. - True

B. Maple Street and Pine Street are parallel. - True

D. Pine Street intersect  both Birch street and Elm street.  - True

E. Oak Avenue and Maple Street are perpendicular. - True

Hence we can say that all the statements that must be true are in options \(A, B, D, E\).

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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To calculate the ratio of r_l at l=80cm for the thin nichrome wire to the measurement using the thick nichrome wire, we need experimental data for both wires. As it is not provided, it is impossible to provide calculation.

The ratio of r_l at a specific length can be determined by dividing the resistance of the thin nichrome wire at that length by the resistance of the thick nichrome wire at the same length. This ratio will provide information about how  resistance of the thin wire compares to the resistance of the thick wire at a particular length.

However, without the actual experimental data for both wires, including their respective resistances at the specified length of 80cm, it is not possible to generate a specific numerical answer for ratio.

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#complete question

Answer:

you weren't clear if we have to solve for x or y so I did both of them. hope this helps!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because the car is moving at a CONSTANT speed meaning the distance will constantly increase

Explanation:

Everywhere you see an x, replace it with (-2) as shown below. Use PEMDAS to simplify.

f(x) = -2x^2 - 2x

f(-2) = -2(-2)^2 - 2(-2)

f(-2) = -2(4) - 2(-2)

f(-2) = -8 + 4

f(-2) = -4

Answer:

1/8

Step-by-step explanation:

As you can see, I unit fraction is 1/8 or any fraction with a one mostly because unit means 1.. always remember that!

Answer:

Coin A : \(V(t)=25(1.07)^t\)

Coin B : \(V(t)=40(1.05)^t\)

Step-by-step explanation:

Consider the given formula is  

\(V(t)=P(1+r)^t\)

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

\(V(t)=25(1+0.07)^t\)

\(V(t)=25(1.07)^t\)

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

\(V(t)=40(1+0.05)^t\)

\(V(t)=40(1.05)^t\)

Therefore, the required equations for coin A and B are \(V(t)=25(1.07)^t\) and \(V(t)=40(1.05)^t\) respectively.

The mathematical expression is as follows.

1) 4(v +3)

2) 15v -7

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x 2 2xy + c.

Given Data

Suppose the number is v

1) To obtain: four times the product of v and 3.

Accordingly, we must first add v and 3, and then multiply the result by 4.

The mathematical expression is as follows.

= 4(v+3)

2) Assume that v is the given integer.

What we're aiming for is: 7 less than 15 times v.

This calls for multiplying the v by 15 and then taking 7 out of the result.

The expression in algebra would be as follows:

= 15v - 7

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Answer:

slope=1

(second y -first y )÷(sec x-first x)

so (8-3)/(10-5)=1

so 1 is positive

i would like to give you this hope this can help you memerize slope

the pic :

if the line ascending from the left to the right its for positive slope

if the line ascending from the right to the left its for negative slope

if the line straight down (if you see the pic its has infinity simbol) its means undefined

if the the line straight horizontoal its means the slope os zero

im sorry bcs i have bad eng

hope this will help you

Answer:

Thank you for the motivation. Hope you are doing well too. You might save a life with this

Answer:

Thank you for this, this week I've been unmotivated and just unhappy school had been so stressful lately, I'm just getting by on C's and B's and I feel like I'm a burden to everyone.

The solution to the given system of equations is x = 5, y = -2, z = -8.

We can solve this system of equations by using the method of substitution or elimination. Let's use the method of elimination to find the values of x, y, and z.

The first equation is x = 5. We can substitute this value of x into the second and third equations to eliminate x. Substituting x = 5 into the second equation, we have 5 - y + z = 5, which simplifies to -y + z = 0. Similarly, substituting x = 5 into the third equation gives 5 + y - z = -5, which simplifies to y - z = -10.

Now we have two equations: -y + z = 0 and y - z = -10. Adding these two equations eliminates y, giving 2z = -10. Solving for z, we find z = -5.

Substituting z = -5 into the equation -y + z = 0, we get -y - 5 = 0, which simplifies to y = -5.

Finally, substituting the values of y = -5 and z = -5 into the first equation x = 5, we have x = 5.

Therefore, the solution to the system of equations is x = 5, y = -5, z = -5.

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The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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Answer:

Joe makes 5 dollars a week

Step-by-step explanation:

Joe started with 173 so you will subtract that from the total

208-173=35

You will then divide that number by the number of weeks he has worked

35÷7=5

Therefore joe makes 5 dollars a week

The amount of money that he earns each week will be $5 per week.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joe has $173 he earns the same amount of money each week for seven weeks and put this money in the bank now Joe has $208 in the bank.

Let 'm' be the amount of money that he earns each week. Then the equation is written as,

208 = 7m + 173

Simplify the equation, then we have

208 = 7m + 173

35 = 7m

m = $5

The amount of money that he earns each week will be $5 per week.

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The area of Jimmy's rectangular room is approximately 27.7241 square yards.

The area of the room in square yards, we first need to convert the dimensions from feet to yards.

Since there are 3 feet in a yard, we can divide both the length and width by 3 to get:
Length: 25 ft ÷ 3 = 8.33 yards (rounded to two decimal places)
Width: 10 ft ÷ 3 = 3.33 yards (rounded to two decimal places)

Now we can find the area by multiplying the length and width in yards:
Area = 8.33 yards x 3.33 yards
Area = 27.7241 square yards (rounded to four decimal places)

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Answer:

4382 to 1 sf is \(4 * 10^3\)

Since powers are not counted in significant figures so this is the answer.

Hope it helps you :D

Complementary angles are angles that add up to 90 degrees.

We can see that angle 2 and angle 1 add up to 90 degrees (as the combination of angle 2, angle 1 and the right angle given are supplementary.)

Angle 1 on the other hand, is equal to angle 4 (opposite angles)

Therefore, we can conclude that angle 2 and angle 4 are complementary.

The answer to whether Tammy is correct or not depends on certain assumptions about the cell phone plans.

If we assume that both Plan A and Plan B have the same terms and conditions for the entire year, then we can compare their costs accurately. However, based on the information provided, we do not have enough details to determine if Plan B actually costs more for one year compared to Plan A.

Plan A costs $480 for one year, which gives us the annual cost directly. On the other hand, Plan B costs $250 for 6 months. To determine the cost for one year under Plan B, we need to know if the $250 price is applicable for the entire year or if it is a promotional offer for the initial 6 months only. Without this information, we cannot conclusively determine which plan is more expensive for one year.

Therefore, based on the given information alone, we do not have enough data to confirm if Tammy's reasoning is correct or not.

Tammy's conclusion about Plan B costing more for one year cannot be determined with the information provided. While the cost of Plan A for one year is given as $480, the cost of Plan B is stated as $250 for 6 months. Without additional details regarding the pricing structure and any promotional offers for Plan B, we cannot accurately compare the annual costs of the two plans. Hence, based solely on the given information, it is not possible to determine if Tammy is correct or not.

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Answer:

it should be y = 0.4x - 3

Step-by-step explanation:

y = mx + b where m = slope and b = y-intercept

The equation of the linear function is;

⇒ y = 0.4x - 3

Here,

Slope = 0.4, y-intercept = (0, -3)

We have to find the equation of the linear function with the give characteristics.

What is the linear equation in intercept form?

Slope intercept form is y = mx + b, where m is slope and b is the y-intercept.

Now,

Given that;

Slope ( m ) = 0.4

y - intercept = ( 0, -3 )

Hence, b = -3

So,  The equation of the linear function is;

y = mx + b

After putting the given values we get;

y = 0.4x - 3

Therefore, The equation of the linear function is;

⇒ y = 0.4x - 3

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The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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The solution to the quadratic equation -3 = 4x² + 9x using quadratic formula is; x = (-9 + √33)/8 or (-9 - √33)/8

The general form of any quadratic equation is written as;

ax² + bx + c = 0

The quadratic formula that is used to solve this is given by;

x = [-b ± √(b² - 4ac)]/(2a)

Now, we are given the quadratic equation as;

-3 = 4x² + 9x

It can be written as;

4x² + 9x + 3 = 0

Thus, using quadratic formula we have;

x = [-9 ± √(9² - (4 * 4 * 3))]/(2 * 4)

x =  [-9 ± √(81 - 48)]/8

x = (-9 ± √33)/8

x = (-9 + √33)/8 or (-9 - √33)/8

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Answer:

b

Step-by-step explanation:

2 consecutive integers have a difference of 1 between them, example 5, 6

let m be the first integer then m + 1 is the second and their product is

m(m + 1) → b

Given :-

To Find :-

Solution :-

Let ,

Their product ,

Hence option b is correct .

Answer:

39,070,080 possible passwords

Step-by-step explanation:

The complete alphabet has 26 letters. Removing the 5 vowels, we have 21 letters.

We want to make groups of 6 letters, and the order of each letter matters, because it will create a different password, so we can write a permutation to solve this problem.

The number of elements is 21, and the group has 6 elements, so we have a permutation of 21 choose 6:

P(21,6) = 21! / (21-6)! = 21! / 15! = 21 * 20 * 19 * 18 * 17 * 16 = 39,070,080 possible passwords