How come my answer is wrong? It says it’s equal to the correct answer but it’s not the right answer.

The 5 number summary of the data given is:

Minimum = 59

Q1 = 66.50

Median = 78

Q3 = 90

Maximum = 99

A stem and leaf plot is a table that is used to display a dataset. A stem and leaf plot divides a number into a stem and a leaf. The stem is the first digit in a number while the leaf is the second digit in the number.

The minimum is the smallest number in the stem and leaf plot. This is 59. Q1 is the first quartile.

Q1 = 1/4 x (n + 1)

Where n is the total number in the dataset

1/4 x 19 = 4.75 term

(64 + 69) / 2 = 66.50

Q3 is the third quartile.

Q1 = 3/4 x (n + 1)

Where n is the total number in the dataset

3/4 x 19 = 14.25 term = 90

The median is the number that is at the center of the dataset.

Median = 1/2(n + 1)

1/2 x 19 = 8.5 term

(76 + 80) / 2  = 78

The maximum is the largest number in the dataset. This number is 99.

To learn more about median, please check: https://brainly.com/question/28060453

#SPJ1

GIVEN:

We are given the following polynomial;

Required;

We are required to sketch the graph of the function. Also, to use the synthetic division and the remainder theorem to find the zeros.

Step-by-step solution;

We shall begin by sketching a graph of the polynomial function.

From the graph of this polynomial, we can see that there are four points where the graph crosses the x-axis. These are the zeros of the function. One of the zeros is at the point;

That is, where x = -1, and y = 0.

We shall take this factor and divide the polynomial by this factor.

The step by step procedure is shown below;

Now we have the coefficients of the quotient as follows;

That means the quotient is;

We can also divide this by (x - 1) and we'll have;

We now have the coefficients of the quotient after dividing a second time and these are;

The remaining two factors are the factors of the quadratic expression we just arrived at.

We can factorize this and we'll have;

The zeros of this polynomial therefore are;

Therefore;

ANSWER:

Here, we want to graph the line

To do this, we need to get the y-intercept and the x-intercept

The general equation form is;

M is the slope while b is the y-intercept

Let us write the equation in the standard from;

The y-intercept is -1

So we have the point (0,-1)

To get the x-intercept, set y = 0

So, we have the x-intercept as (-1/3,0)

Now, if we join the two points, we have successfully graphed the line

The transformation to get g(x) from f(x) are:

translate 14 units to the left and 10 unit upwards

the transformatio to get h(x) from f(x) are:

translate 14 units to the left and 10 units downwards

SOLUTION:

Step 1:

In this question, we are given the following:

Let the supply and demand functions for sugar be given by the following equations. Bye

Supply: p = 0.4x

Demand: p = 100 - 0.4x

a) Find the equilibrium demand.

Step 2:

At Equilibrium,

collecting like terms, we have that:

Divide both sides by 0.8, we have that:



Step 3:

Recall that:

CONCLUSION:

Equilibrium Demand:

Let's put more details in the given figure:

To find y, we will be using the Pythagorean Theorem.

Where,

r = radius

x = 1/3

y = uknown

We get,

Therefore, the answer is:

Since the given equation is

If x = 0, then

Then x = 0 is correct because it gives the same value of y in the table

If x = 2

Since the value of y in the table is 4

Then x = 2 is incorrect

Given the equation:

Solving for x:

Now, we take the square on both sides of the equation:

Now, using the general solution of quadratic equations:

From the problem, we identify:

Then, the solutions are:

But the original equation √(x), so x can not be negative if we want a real equation. Then, the only real solution of the equation is:

Recall that the probability of a binomial distribution is given by

Where n is the number of trials, p is the probability of success, and x is the variable of interest.

nCr is the number of combinations.

For the given case, we have

n = 18

p = 0.8

x = 15

Let us find the probability P(X=15)

Therefore, the probability P(X=15) is 0.2297

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integers: -1.43, 1 3/4, 3.14,.09, and 5,643. 1.

How do you determine an integer's number from a number?

Basic Interest Calculator

Simple interest is calculated by multiplying the principal by the time, interest rate, and time period. "Simple Interest = Principal x Interest Rate x Time" is the written formula. The simplest method for computing interest is using this equation.

The answer to the question "How many integers are there in n?" is n-1.

To learn more about Integers refer to:

https://brainly.com/question/929808

#SPJ13

Recall that the rule of transformation of a point reflected over the y-axis is as follows:

Therefore, the transformed coordinates of the vertices of the triangle are:

Therefore, the image of the triangle is the triangle with the above vertices.

Answer:

In the first bounce, the height is

In the second bounce, the height is

Then, we can note that the pattern is

where n represents the number of bounces of the ball. Then, for n=5 (fifth bounce), we get

which gives

Therefore, by rounding to the nearest thousandths, the answer is 2.758 feet

The relation between this two functions is g(x) = -f(x)

This means that g(x) is a reflection of f(x) about the x-axis, that is, a reflection about a horizontal line

SOLUTION:

Step 1:

In this question, we are given the following:

Explain the behavior of :

when x=a.

Give values to x and a such that:

Step 2:

The graph of the function:

are as follows:

Explanation:

From the graph, we can see that the function:

is a horizontal translation, shift to the right of its parent function,

Answer:

1/4

Step-by-step explanation:

We can see the pairs (-1, 4) and (1, 4), so the function is not invertible.

Remember that a function is only invertible if it is one-to-one.

This means that each output can be only mapped from a single input (the outputs are the values of g(x) and the inputs the values of x).

In the table, we can see the pairs (-1, 4) and (1, 4).

So both inputs x = -1 and x = 1 have the same output, this means that the function is not one-to-one, so it is not invertible.

Learn more about invertible functions:

https://brainly.com/question/14391067

#SPJ1

From the given expression

a) The linear system of a matrix form is

The linear system of the given matrix will be

b) The entries in A of the matrix is

c) The dimensions of A, X and B are

Michael earned some Money doing odd jobs last summer and put it in a savings account that earns 13% interest compounded quarterly after 2 years there is 100.00 in the account How much did Michael earn doing odd jobs​?

____________________________________

13% interest compounded quarterly

after 2 years there is 100.00

_________________________________-

interest compounded

A = P(1 + r/n)^nt

A= Final amount

P= Principal Amount

r= interest

n= number of compounding periods (year)

t= time (year)

_____________________

Data

A= 100.00

P= Principal Amount (The question)

r= interest (0.13)

n= number of compounding periods (4)

t= time (2)

_________________

Replacing

A = P(1 + r/n)nt

P = A / ((1 + r/n)^nt)

P = 100.00/ ((1 + 0.13/4)^4*5)

P= 100.00/ (1.0325^20)

P= 52

________________

Michael earns doing odd jobs 52 dollars.

The resultant answer from computing P(7,4) from probability and statistics is 840.

So, P(7,4):

This is a permutation and can be calculated as:

Put the values in the given formula:

Therefore, the resultant answer from computing P(7,4) from probability and statistics is 840.

To read more about probability:

brainly.com/question/25870256

#SPJ13

Area of a rectangle is given by the expression:

Then:

The area that will need to be covered is 287 square feet.

Slope is

Then:

Answer: slope = 1

Given data:

The gieven length of the rectangle in erms of width is L=3w.

The perimeter of rectangel is P=274 feet.

The expressio for the perimeter of the rectangle is,

P=2(L+w)

Substitute the given values in the above expression.

274 feet=2(3w+w)

274 feet=8w

w=34.25 feet.

The length of the rectangle is,

L=3(34.25 feet)

=102.75 feet.

Thus, the width is 34.25 feet and lenth of rectangle is 102.75 feet.

To begin we shall sketch a diagram of the line segments as given in the question

As depicted in the diagram, line segment AC is parallel to line segment DB.

This means angle A and angle B are alternate angles. Hence, angle B equals 41 degrees. Similarly, angle C and angle D are alternate angles, which means angle C equals 56.

Therefore, in triangle EAC,

The measure of angle AEC is 83 degrees

Given:

COA is a diameter

O is the origin

OA = 1

m< BOA = 30

Re-drawing the diagram to show the coordinates of the B:

Let the coordinates of B be (x,y)

Using trigonometric ratio, we can find the length of side AB

From trigonometric ratio, we have:

Substituting we have:

Hence, the coordinates of B is (1, 0.58)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

Step 02:

simplify (radical):

The answer is:

5x²

then

answer: 1/x

Answer:

13.6

Step-by-step explanation:

[tex] \frac{3x}{10.2} - 12.4 = - 8.4[/tex]

[tex] \frac{3x}{10.2} = 4[/tex]

[tex]3x = 40.8[/tex]

[tex]x = 13.6[/tex]

We will have the following:

*First: We determine the standard deviation of the statistic, this is:

So, we will have:

Then:

And so, we obtain the standar deviation.

*Second: We determine the margin of error:

Here me represents the margin of error, cv represents the critical value and this is multiplied by the standard deviation. We know that the critica value for a 90% confidence interval is of 1.645, so:

*Third: We determine the confidence interval as follows:

Here ci is the confidence interval, ss is the saple statistic and me is the margin of error:

And that is the confidence interval,

To determine the vertex form of a parabola has equation:

where V(h,k) is the vertex of the parabola and 'a' is the leading coefficient.

From the question, we have that, the vertex is (-1, 1)

and the leading coefficient is a = 2

We substitute the vertex and the leading coefficient into the vertex form to

get:

The graph of this function is shown in the attachment.

Hence the equation of parabola is