A random sample of 40 students from each grade level was surveyed regarding their preference for a class field trip. If there are 220 members of the 7th grade class, then how many students can be expected to prefer the zoo?

Answer: the answer you have selected is correct

Step-by-step explanation:

The correct answer is OD. 8x + 1.

To divide 8x³ + x² - 32x - 4 by x² - 4, we can use polynomial long division.

The dividend is 8x³ + x² - 32x - 4, and the divisor is x² - 4.

We start by dividing the highest degree term, which is 8x³, by x². This gives us 8x.

Next, we multiply the divisor x² - 4 by the quotient 8x. The result is 8x³ - 32x.

Subtracting 8x³ - 32x from the dividend, we get x² - 32x.

Now, we divide x² - 32x by x² - 4. This gives us 1.

Multiplying the divisor x² - 4 by the quotient 1, we get x² - 4.

Subtracting x² - 4 from the remaining dividend, which is -32x, we get -32x + 4.

Since we can no longer divide, the final result is the quotient we obtained: 8x + 1.

Therefore, the correct answer is:

OD. 8x + 1.

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The distance from Jim's house to the mall is given as follows:

11.25 miles.

Suppose that we have two points with coordinates given as follows:

\((x_1, y_1)\) and \((x_2, y_2)\)

Then the equation for the distance between these two points is given as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates are given as follows:

Hence the distance is given as follows:

\(D = \sqrt{(17 - 8)^2+(13 - 1)^2}\)

D = 15 units.

Each unit represents 0.75 miles, hence the distance in miles is given as follows:

15 x 0.75 = 11.25 miles.

The problem is given by the image presented at the end of the answer.

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By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.

Here we have the polynomial:

f(x) = (x - 2)*(x + 4)*(x + 5).

You can see that the roots of the polynomial are at:

x = 2

x = -4

x = -5.

Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.

f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40

With this, we can conclude that the sign of f(x) on the given interval is negative.

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Answer:

always negative

Step-by-step explanation:

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

In a group of 150 students, 20 are freshmen 30 are sophomores 49 are juniors and 51 are seniors if a student is randomly selected the probability that we select a sophomore before freshmen is 2.69%.

So the given data we get from the question is as follows,

  Total number of students, N = 150

  A number of freshmen students, F = 20

  The number of sophomore students, S = 30

  Number of junior students, J = 49

  Number of senior students, R = 51

              We need to find the probability of selecting a sophomore student before a freshman student. The probability that a sophomore student is selected first,

             P(S) = Number of sophomore students/Total number of students

                    = S/N

   Probability that a freshman student is selected after a sophomore student,

          P(F|S) = Number of freshman students left/Total number of students left

                    = F/N-1

    Where N-1 is used because one student has already been selected.

     The probability that a sophomore student is selected first and then a freshman student is selected,

       P(S∩F) = P(S) × P(F|S)

                   = S/N × F/N-1

      Therefore, the probability of selecting a sophomore student before a freshman student is:

       P(S∩F) = S/N × F/N-1P(S∩F)

                   = 30/150 × 20/149P(S∩

                   = 0.0269 or 2.69%

      Therefore, the probability of selecting a sophomore student before a freshman student is 0.0269 or 2.69%.

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Answer:

c. 12 pens and 15 pencils

Step-by-step explanation:

We can find the number of each box Denis bought using a system of equations.

Let x represent the number of pen boxes and y the number of pencil boxes Denis bought

First equation:

We know that the sum of the quantities of the pen and pencil boxes equals the total number of boxes altogether as

# of pen boxes + # of pencil boxes = total number of boxes

x + y = 27

Second equation:

We know that the sum of the costs of the pen and pencil boxes equals the total cost as

(price of pen boxes * # of pen boxes) + (price of pencil boxes * # of pencil boxes) = total cost

15x + 18y = 450

Method to solve:  Substitution:

We can isolate x in the first equation and plug it in for x in the second equation.  This will allow us to first find y:

(x + y = 27) - y

x = -y + 27

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

15(-y + 27) + 18y = 450

-15y +405 + 18y = 450

3y + 405 = 450

3y = 45

y = 15

Find x:

Now we can find x by plugging in 15 for y in x + y = 27:

x + 15 = 27

x = 12

Thus, Denis bought 15 pens and 12 pencils (answer choice c.)

Check work:

We can check our work by plugging in 15 for y and 12 for x in both equations and seeing if we get 27 for the first equation and 450 for the second equation:

Checking solutions in x + y = 27:

12 + 15 = 27

27 = 27

Checking solutions in 15(12) + 18(15) = 450

15(12) + 18(15) = 450

180 + 270 + 450

450 = 450

Thus, our answers are correct.

Answer:

The error is founded in the slope, specifically in the run.

When seen a negative slope, that only applies to the rise but not the run.

Instead, the student should run 1(not 2) units to the right.

The slope had not mentioned any 2 in the run.

So it would sound like down 3, over 1, starting from 2.

The y intercept at 2 is correct. This is the location (0,2)

The slope is -3 or -3/1, meaning that we move down 3 and to the right 1 unit. Doing so has us go from (0,2) to (1,-1). Plot these two points together on the same xy grid and draw a straight line through the two points.

See below.

Answer:

the middle left and right

The table representing the relative frequencies by rows would be:

                    King Bed     Queen Bed

Mountain 0.58       0.42

Ocean         0.38             0.62

The table representing the relative frequencies by columns would be:

                King Bed Queen Bed

Mountain      0.68             0.47

Ocean       0.32             0.53

Relative frequency is a statistical term that describes the proportion or percentage of times that an event or value occurs within a dataset or sample.

It is calculated by dividing the number of times the event occurs by the total number of observations in the dataset or sample.

We have,

To find the relative frequencies of this data by rows or by columns, we need to divide each count by the total number of rooms occupied. The total number of rooms occupied is:

25 + 18 + 12 + 20 = 75

To find the relative frequencies by rows, we divide each count by the total for that row:

For Mountain View rooms:

King Bed: 25/(25+18) ≈ 0.58

Queen Bed: 18/(25+18) ≈ 0.42

For Ocean View rooms:

King Bed: 12/(12+20) ≈ 0.38

Queen Bed: 20/(12+20) ≈ 0.62

The table representing the relative frequencies by rows would be:

                    King Bed     Queen Bed

Mountain 0.58       0.42

Ocean         0.38             0.62

To find the relative frequencies by columns, we divide each count by the total for that column:

For King Bedrooms:

Mountain View: 25/(25+12) ≈ 0.68

Ocean View: 12/(12+20) ≈ 0.38

For Queen Bedrooms:

Mountain View: 18/(18+20) ≈ 0.47

Ocean View: 20/(18+20) ≈ 0.53

The table representing the relative frequencies by columns would be:

                King Bed Queen Bed

Mountain      0.68             0.47

Ocean       0.32             0.53

Note that we round the relative frequencies to the nearest hundredth.

Thus,

The table representing the relative frequencies by rows and columns is given above.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Answer:

17 is answer

Step-by-step explanation:

hope it helps

Answer:

-3+4x<=-11

No more than is <=

The inequality ​for the sum of-3 and four times a number is no more than -11 is -3 + 4x ≤ -1.

The relationship between two expressions or values which are not equal is called inequality. It shows how many times one expression is less than or equal, or greater than another expression.

Let the unknown variable is  \(x\).

According to the question,

The sum of -3  and four times of number be \(4x - 3\\\) is less than -11.

So, the equation will be,

\(- 3 + 4 x < -11\).

Thus, the inequality will be \(- 3 + 4 x < -11\) .

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2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Answer:

Step-by-step explanation:

2x + 5 = 3x - 7

5 + 7 = 3x - 2x

12 = x

False , the variance and standard deviation are not measures of central location

Given data ,

The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset

Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset

The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.

In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.

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Answer:

x  =  ( y  −  6 ) / (  4  +  r  )

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x  =  ( y  −  6 ) / (  4  +  r  )

\(\dfrac{5\cdot10^6}{5\cdot10^4}=10^{6-4}=10^2=100\)

Answer:

100 times more

Step-by-step explanation:

5*10^4 over 5*10^6 is 1/100

The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.

To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:

Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)

Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)

We will use a one-tailed test with a significance level of α = 0.05.

To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee

P = (60 - 21) / 60 = 0.65

where 60 is the total number of subjects and 21 is the number who prefer instant coffee.

Next, we need to calculate the standard error of the sample proportion:

SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078

where n is the sample size.

Finally, we can calculate the z statistic:

z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923

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The given question is incomplete, the complete question is:

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)

Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic

The  equation of the tangent line to R(z) at z = 10 is:

y = (40/(ln 7 * 49))x - (390/(ln 7 * 49))

To find the equation of the tangent line to the function R(z) = log7(2z^2 - 151) at z = 10, we first need to find the derivative of R(z) with respect to z:

R'(z) = d/dz [log7(2z^2 - 151)]
     = 1/(ln 7) * 1/(2z^2 - 151) * d/dz[2z^2 - 151]   (by the chain rule)
     = 1/(ln 7) * 1/(2z^2 - 151) * 4z
     = 4z/(ln 7 * (2z^2 - 151))

Now we can evaluate R'(10) to find the slope of the tangent line at z = 10:

R'(10) = 4(10)/(ln 7 * (2(10)^2 - 151))
      = 40/(ln 7 * 49)

So the slope of the tangent line at z = 10 is 40/(ln 7 * 49).

Next, we need to find the y-coordinate of the point on the graph of R(z) that corresponds to z = 10. We can do this by evaluating R(10):

R(10) = log7(2(10)^2 - 151)
     = log7(249)

Therefore, the point on the graph of R(z) that corresponds to z = 10 is (10, log7(249)).

Finally, we can use the point-slope form of the equation of a line to write the equation of the tangent line:

y - log7(249) = (40/(ln 7 * 49))(x - 10)

Simplifying this equation gives:

y = (40/(ln 7 * 49))x + log7(249) - (40/(ln 7 * 49)) * 10

So the equation of the tangent line to R(z) at z = 10 is:

y = (40/(ln 7 * 49))x - (390/(ln 7 * 49))

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Answer:

Adult ticket = 80

Children ticket = 120

Step-by-step explanation:

Given that :

Cost of student ticket = $8

Cost of adult ticket = $10

Number of tickets sold = 200

Total amount collected = $1760

Let number of adult ticket sold = a ; children ticket = b

a + b = 200 _-_(1)

10a + 8b = 1760 ___(2)

a = 200 - b

10(200 - b) + 8b =. 1760

2000 - 10b + 8b = 1760

- 2b = 1760 - 2000

-2b = -240

b = 120

a = 200 - b

a = 200 - 120

a = 80

Answer: 1840 pounds

Step-by-step explanation:4x4=16

460 x 4 = 1840

SOLUTION:

We are to find the instruments that same number of students play?

Considering the given bar-chart, 32 students played each of Saxophone and Drums.

Therefore the answer is Saxophone and Drums.

Answer:

0 (I think)

Step-by-step explanation:

(1,6) (3,-6)

X1 Y1. X2 Y2

-6-6= 0

3-1=2

0/2= 0

Answer:

y=-12/2x + -6

Step-by-step explanation:

m= rise/run = y2-y1/x2-x1

m=  -6 - 6 / 3 - 1    

m= rise/run  -12/2

Answer:

do your self it is easy

Step-by-step explanation:

do your self it is easy

Answer: it is c

Step-by-step explanation:

The volume of the right cone is calculated as: 100.48 units³.

The volume of a right cone with a radius of r, and an height of h, is calculated using the formula given as:

Volume of a right cone = 1/3 × π × r² × h.

The right cone has the following parameters:

Radius (r) of the right cone = 4 units

Height (h) of the right cone = 6 units

π = 3.14

Plug in the values into 1/3 × π × r² × h:

Volume of a right cone = 1/3 × 3.14 × 4² × 6

Volume of a right cone = 1/3 × 3.14 × 16 × 6

Volume of a right cone = 1 × 3.14 × 16 × 2

Volume of a right cone = 100.48 units³

In conclusion, the volume of the right cone is calculated as: 100.48 units³.

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Answer:

very late but the answer is pi 32 units by the power of 3!

Step-by-step explanation:

Answer:

1327.01

Step-by-step explanation: