An​ on-line retailer identified the web browser being used by a sample of 50 shoppers to its online site. The accompanying data table identifies the browser being used by a shopper. Previously in​ 2010, 64​% of shoppers used Browser​ A, 24​% Browser​ B, 6​% Browser​ C, 3​% Browser​ D, and 3​% Browser E.

Required:
a. Using software, tabulate the frequency of the choice of browser used by these shoppers.
b. Present a bar chart and a pie chart of these frequencies. Which is more useful to compare the distribution of these to those observed in 2010?
c. Do you see any changes in the distribution of the choice of browser?

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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The height of the toy is an illustration of the height function

The given parameters are:

The function of the height is calculated as:

h(t) = -16t² + Vot + H

This gives

h(t) = -16t² + 200t + 50

Hence, the velocity function is h(t) = -16t² + 200t + 50

In (a), we have:

h(t) = -16t² + 200t + 50

Differentiate

h'(t) = -32t + 200

Set to 0

-32t + 200 = 0

Subtract 200 from both sides

-32t = -200

Divide both sides by -32

t = 6.25

Substitute 6.25 for t in h(t)

h(6.25) = -16 *6.25² + 200 * 6.25 + 50

h(6.25) = 675

Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet

This is represented as

h(t) >300

So, we have:

-16t² + 200t + 50 > 300

Subtract 300 from both sides

-16t² + 200t - 250 > 0

Using a graphical calculator, we have:

t = 11.09s and t = 1.41 s

Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s

This means that

h(t) = 0

So, we have:

-16t² + 200t + 50 = 0

Using a graphical calculator, we have:

t = 12.75

Hence, the rocket will hit the ground at 12.75s

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Answer:

The number of pounds Kaitlin will buy

p < 5

Explanation:

Given that each pound of candy costs $6

Since Kaitlin will spend less than $30 on candy, let the number of pounds she can buy with less than $30 be p, then

6p < 30

Divide both sides by 6

p < 30/6 = 5

p < 5

Answer:

alternate interior angles are congruent

Answer:

y = 3/2x∧2+12x+26

Step-by-step explanation:

The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.

The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23.  however amount is represented by a number.

It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.

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Answer:

9/3=3

Step-by-step explanation:

3 goes into 9   3 times

3,6,9

Answer:

the three boxes should be filled with

2 8 -12  

respectively

Step-by-step explanation:

The general equation of the parabola in this problem is

y = a(x-h)^2 + k

vertex is at (-2, -20), => k=-20, h = 2

so the equation is

y = a(x+2)^2 - 20

To have y-intercept = -12, we set x = 0

-12 = a(0+2)^2 - 20

a(2^2) = 8

a = 2

therefore the equation of the parabola is

y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12

the three boxes should be filled with

2 8 -12  

respectively

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

12 & 13

Step-by-step explanation:

trust me

The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

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Answer:

(-1, 0) and (8, 9)

Step-by-step explanation:

x² - 6x-7 = x + 1

x² - 7x - 8 = 0

(x - 8)(x + 1) = 0

x = -1, 8.

When x = - 1, y = 0

and x = 8, y = 9

For the function f(x) = log4(x - 2) + 2, the domain is (2,∞) and range is (-∞,∞).

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The logarithmic function f(x) = log4(x - 2) + 2 is defined only for x-2 > 0, or equivalently, x > 2.

So, the domain of the function is all real numbers greater than 2, or -

Domain: x > 2

Now let's consider the range of the function.

The logarithmic function takes positive values for positive inputs, and it approaches negative infinity as x approaches zero from the right.

Since f(x) = log4(x-2) + 2, the function takes values greater than 2 when x is greater than 4, and it approaches 2 as x approaches 2 from the right.

So, the range of the function is -

Range: -∞ > f(x) > ∞

Therefore, the function has range and domain as (-∞,∞) and (2,∞) respectively.

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Answer:

There are 10 students

Step-by-step explanation:

69.55-(5.35*3)= 53.5

53.5/10=5.35 which is what each ticket costed

So the answer is 10 students

Answer:

The answer is b.

Since we have that BD is the median, it divides the segment or side of the triangle into two equal parts. Then, we have that:

Then, we need to solve the equation for x, and to do so, we need to:

1. Subtract 2x, and 10 from both equations:

2. Since we have like terms, then we have:

In the previous step, we divide both sides of the equation by 4 and then simplify the resulting fraction.

Hence, the value for x = 1/2. The length of AC is the sum of AD + CD or twice the value of one of them:

Therefore, the length of AC is

AC = 26 units.

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

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Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.

Answer:

32,020

Explanatiojn:

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

b

Step-by-step explanation:

Answer:

B thank you for doing that hard work

putting all that info in

Step-by-step explanation:

There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.

Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.

We will use significance level (α) of 0.01.

Given:

Sample mean for Education students (x₁) = 88.50

Sample mean for Nursing students (x₂) = 90.25

Standard deviation for the Education student sample (s₁) = 7.5

Standard deviation for the Nursing student sample (s₂) = 8.2

Sample size for Education students (n₁) = 25

Sample size for Nursing students (n₂) = 29

The t-test statistic for two independent samples is:

t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))

t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))

t ≈ -0.8187

In this case, df = 24.

The critical value for α = 0.01 and df = 24 is approximately ±2.797.

Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.

Therefore, we fail to reject the null hypothesis.

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Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

Answer:

5years

Step-by-step explanation:

Interest=Principal*Rate*Time/100 which is

I=P*R*T/100

Therefore T which is Time=5 years.

HOPE THIS HELPS

Answer:

C) 71

Step-by-step explanation:

To find the mean you must first add all the numbers:

68 + 70 + 76 + 71 + 70 = 355.

After that you divide the number you got by how many numbers are in the set.

There are five players so we divide the number by 5

355/5 = 71

Therefore, it is 71.

Answer:

1:4

Step-by-step explanation: 750/3000 = 1/4 = 1:4

An equation of the line that passes the through point (0, 9) and has slope m = \(\frac{2}{3}\) is 3y-2x-27=0

What is point-slop equation of a line?

The point-slope equation of a line is

                      y - \(y_{1}\) = m ( x  -\(x_{1}\) )

The equation is useful when we know:

and want to find other points on the line.

Given that,

slope , m =  \(\frac{2}{3}\)  and passing through the point is (0,9)

An equation of a line given the slope and a point is

             y - \(y_{1}\) = m ( x  -\(x_{1}\) )

or          y - 9 =  \(\frac{2}{3}\) (x - 0)

or          y - 9 =  \(\frac{2}{3}\) x

or          y =  \(\frac{2}{3}\) x + 9

or          y = \(\frac{2x + 27}{3}\)

or          3y = 2x + 27

or         3y - 2x - 27 = 0

Hence, an equation of the line that passes the through point (0, 9) and has slope m = \(\frac{2}{3}\) is 3y-2x-27=0

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