according to a wired magazine article, of e-mails that are received are tracked using software that can tell the e-mail sender when, where, and on what type of device the e-mail was opened (wired magazine website). suppose we randomly select received e-mails. a. what is the expected number of these e-mails that are tracked?

The probability of getting 2 yellow apples and 1 red apple is 18/35 which is the D option.

This is a question of permutations and combinations.

Given that:-

Number of yellow apples = 4

Number of red apples = 2

We have to find the probability of getting 2 red apples and 1 yellow apple.

Number of ways of getting 2 yellow apples = [tex]^4C_2=6[/tex]

Number of ways of getting 1 red apple = [tex]^3C_1=3[/tex]

Total number of ways of finding 3 apples from 7 apples = [tex]^7C_3=35[/tex]

Hence,

Probability of getting 2 yellow apples and 1 red apple = 6*3/35 = 18/35.

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Answer: he will be left with 31.74 dollars

Step-by-step explanation:

i first put 55.00 - 4.50 = 50.5

then you subtract 50.5 with 6.25  3 times so the and is 31.74

hope this helped !!

Answer: 41.2

Step-by-step explanation: The rules of rounding are you round up if the number you're rounding is 5 or higher than five, and you keep the same number if it is 4 or lower. For this problem, the 1 is the digit being rounded, so to round it, look at the number to the right of the 1, which is a 5, which means we would round up.

hope this helps!

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The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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Answer:

ye it is I can't help sorry I need the points

3.  3.8 ft

5.  28

7.  .1

Step-by-step explanation:

5/20.5=15.5/x

solve for x

3.8

7/14=14/x

28

10/x=1/100

.1

Answer:
y = -1/3x + 1

Step-by-step explanation:

1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.

~-1/3 will be the new slope

2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.

~ y - (-2) = -1/3(x-9)

3) Now simplify everything you can
~y+2 = -1/3(x-9)

4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3

5) Now we need to subtract 2 from both sides to get y by itself.

~y = -1/3x + 1

Answer:

[tex]x^3-10[/tex]

Step-by-step explanation:

Let the number be x.

"A number cubed" refers to x³.

"Difference" means to subtract, so the answer is [tex]x^3-10[/tex].

Answer: K is greater than or equal to 18

Step-by-step explanation:

Answer:k>=-18

Step-by-step explanation:

Rewrite so k

is on the left side of the inequality.

2/5⋅(k−2)≥−8

Multiply each term in

2/5⋅(k−2)≥−8 by 5/2 to eliminate the fractions.

k−2≥−20

Move all terms not containing

k to the right side of the inequality.

k≥−18

The result can be shown in multiple forms.

Inequality Form:

k≥−18

The area of the figure is 21. 25 m². Option D

It is important to note that the figure is a kite.

The formula for calculating the area of a kite is expressed as;

A= pq/2

Where;

Using tangent identity

tan 45 = x/ 2. 5

1(2. 5) = x

x = 2. 5

p = 2. 5 + 2. 5 = 5

q = 2. 5 + 6 = 8. 5

Now, substitute the values into the formula

Area = 5(8. 5)/ 2

Area = 42. 5/ 2

divide the values

Area = 21. 25 m²

Hence, the value is 21. 25m²

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For the specified requirements, 105 sample size are required.

Given that,

Confidence Interval = 90

Margin of error (m) =0.08

We know , to find Sample size for  estimating a population proportion

n = (Z*/m)² P(1-P)

where , m is margin of error

             P is estimated proportional value.

If we have no preconceived of the value of the population proportion

, then we use P= 0.50 because it is most conservative and it will give use the largest sample size calculation.

for a 90% confidence interval ,

Z* = 1.645 , m=0.08

Using equation we get

n = (1.645/0.08)²(0.5)( 1 - 0.5 )

By solving,

n =105.3 = 105

The necessary sample size is 105

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Step-by-step explanation:

-(10x + 2) > 5x - 1 - 8x

combine x terms on right side:

-(10x + 2) > -3x - 1

remove ()'s from left side:

-10x - 2 > -3x - 1

add 10x to both sides:

-10x - 2 + 10x > -3x - 1 + 10x

-2 > 7x - 1

add 1 to both sides:

-2 + 1 > 7x - 1 + 1

-1 > 7x

divide both sides by 7:

-1/7 > 7x /7

-1/7 > x or x < -1/7

in interval notation: (-∞, -1/7)

Answer:

(-1,4) (-3,0)

picture below (im assuming you meant x^2.)

if you meant x2, please look at the second image

FIRST PHOTO = y=x^2 + 6x + 9 & y=2x+6

SECOND PHOTO = y=x2 + 6x + 9 & y=2x+6

The choice which describes a sequence of transformations in which the blue figure is the image of the red figure is: 4. Rotate the triangle 90º clockwise about the origin and then translate it 1 unit left and 7 units down.

In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).

From the information provided in the graph about the transformation applied to the red triangle to create the blue triangle, we have the following ordered pairs that represents a rotation of 90º clockwise:

(x, y)                                    →              (y, -x)

Ordered pair A = (-5, 2)            Ordered pair A' = (2, 5)

Ordered pair B = (-5, 6)             Ordered pair B' = (6, 5)

Ordered pair C = (-1, 2)             Ordered pair C' = (2, 1)

After a translation of 1 unit left and 7 units down, we have:

Ordered pair A' = (2, 5)       →     Ordered pair A' = (2 - 1, 5 - 7) = (-1, -2)

Ordered pair B' = (6, 5)       →     Ordered pair B' = (6 - 1, 5 - 7) = (.5, -2)

Ordered pair C' = (2, 1)        →     Ordered pair C' = (2 - 1, 1 - 7) = (-1, -6)

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The area of the given trapezoid is 24 square inches.

Area of trapezoid:

Area of the trapezoid is referred as the total space covered by its sides.

The formula to calculate the area of the trapezoid is

A = ½ (a + b) h

where

(A) is the area of a trapezoid,

'a' and 'b' are the bases that are parallel sides,

and 'h' is the height that is the perpendicular distance between a and b

Given,

Here we have the values 8 in, 6 in, and 4 in

Through the given values we have to find the area of the trapezoid.

Let us consider the base values of the trapezoid are 8in and 6 in and the height as 4 in.

Now, we have all the side value of the trapezoid.

Then we have to apply it on the formula,

Then we get,

Area = 1/2 (8 + 6) x 4

Area = 2 x (12)

Area = 24

Therefore, the area of the trapezoid is 24 square inches.

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Answer:

Step-by-step explanation:

The answer would be 24:600. One student is absent so there are 24 students present. The number of beads is still 600, so the ratio is 24:600 which simplifies to 1:25.

The equation, in vertex form, of the graph in the diagram is determined as: y = 1|x - 3| + 5.

The formula that represents the equation in vertex form of an absolute value function is y = a|x - h| + k, where:

Vertex = (h, k).

Therefore, we will need to determine what the values of a, h, and k is using the information derived from the graph.

Thus:

(h, k) = (3, 5)

a = 1 (this is because the graph opens upward)

To write the equation of the graph, substitute a = 1, h = 3, and k = 5 into:

y = 1|x - 3| + 5

The equation is, y = 1|x - 3| + 5.

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In order to get the same outcomes as a form mirrored across the y-axis and turned counterclockwise, a shape can be reflected across the x-axis and then rotated 90 degrees in a clockwise manner around the origin. This suggests a similarity between these two transformative sequences.

What does mathematics mean by reflection?

A flip is the term used in geometry to describe a reflection. The mirror image of the form is a reflection. An image can reflect through a line known as the line of reflection. When all of the points in a figure are evenly spaced away from one another, the two figures are said to reflect each other.

(X, Y) > when a form is rotated 90 degrees counterclockwise (y, -x).

When the picture is reflected across the y-axis, (x, y) > (-x, y).

When those two transformations are used, it is the same as reflecting a shape across the line y = -x, where (x, y) > (-y, -x).

For instance: After being rotated 90 degrees clockwise and reflecting across the y-axis,

(2, 1) > (1, -2) > (-1, -2); and

(2, 1) > (-1, -2)

after being reflected across the y = -x line

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The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees

Given: m<7=100 degrees

To find <6, <8, <2, <5 and <11

In the <7 is vertically opposite <5. Since vertically opposite angles are equal.

Thus, <5 =  <7 =   100 degrees

Also,  <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:

<5 + <6 = 180

100 + <6 = 180

<6 = 180 -100 = 80 degrees

Also, <6  and <8 are vertically opposite.

Thus, <8 = <6 = 80 degrees

<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees

Likewise, <11 and <7 are corresponding angles

Thus, <11 = <7 = 100 degrees

Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively

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The 4.89 hours after midnight did the temperature first hit 63 degrees.

A sinusoidal function can be used to mimic the daily variation in outdoor temperature. Assume you are aware that the daily average temperature starts at 9 am and swings between 60 and 70 degrees throughout the day.

We have to find to two decimal places, how many hours after midnight did the temperature first hit 63 degrees.

Max T=70 and Min T=60

D = (Max + Min)/2

   = 70+60/2

   = 65

A = Max- D

   = 70 - 65

   = 5

Since,

Period is 24 hours,

So,

W = 2π/24

   = π/12

The function will be:

T(t) = 5 Sin (π/12(t-C)) + 65

Given average temperature occurs at 8 am so,

T(9)=65

Solving this we get

C=9

Hence,

T(t)= 5Sin(π/12( t-9))+65

Now,

We need to find t such that T(t)=63

63=5Sin(π/12( t-9))+65

t = 4.89 hours.

Therefore, The 4.89 hours after midnight did the temperature first hit 63 degrees.

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By using the concept of supplementary angle, it can be calculated that

The two angles are 47° and 133°

What are supplementary angles?

At first it is important to know about angle.

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Two angles are said to be supplementary if the sum of the angles is 180°

Let one angle be x

Other angle = 180 - x

The supplement of an angle is 8 less than three times the measure of the angle

By the problem

180 - x = 3x - 8

3x + x = 180 + 8

4x = 188

x = [tex]\frac{188}{4}[/tex]

x = 47°

Other angle = 180 - 47 = 133°

The two angles are 47° and 133°

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The cost of s and 20 songs are $1.25s and $25 respectively.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that music services cost $6 per month to Nachelle.

And to download songs for offline listening, the service charges $1.25 per song.

If she wants to download s songs,

The cost of s songs = the cost of one song multiplied by s

The cost of s songs =$1.25 multiplied by s

The cost of s songs = $1.25s

Here s = 20 then

cost of 20 songs = $1.25 x 20

                           = $25

Therefore the cost of s and 20 songs are $1.25s and $25 respectively.

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Step-by-step explanation:

70.31

hope it's helpful

Answer:

Step-by-step explanation:

no

Answer: $9.76

Step-by-step explanation: If you multiply f, the order of fries (5) by the cost of it ($1.08) you would get $5.40 & if you multiply d, the order of drinks (4) by the cost of it ($1.09) you would get $4.36. If you add up both the total numbers, you would get a final answer of $9.76.

Answer:

$9.76

Step-by-step explanation:

1.08f + 1.09d= Total

1.08(5)+1.09(4)= Total

5.40+4.36= Total

Answer:

y = m x + b       equation for a straight line

when x = 4     y = 5

5 = m * 4 + b

m = (5 - b) / 4      solving for m

when x = -3      y = -1

-1 = (5 - b) / 4 * -3 + b = -3 * (5 - b) / 4 + 4 b / 4

-1 = (-15 + 3 b + 4 b) / 4

11 = 7 b      b = 11 / 7

Since m = (5 - b) / 4

m = (5 - 11/7) / 4  = 6/7

We then have y = 6 x / 7 + 11 / 7

Or 7 y = 6 x + 11

Check:

when (4 , 5)     35 = 24 + 11 = 35

Answer:

Option D: 160 square feet

Step-by-step explanation:

Area of the lawn

= (7 feet × 8 feet) + (13 feet × 8 feet)

= 56 square feet + 104 square feet

= 160 square feet