Find the average of the numbers: 16 and 17

Answers

Answer 1

Add up the two numbers and divide by how many values given

16+17/2=16.5
Answer 2

Answer:

16.5

Step-by-Step Explanation:

16.5 would be the average because it is right between 16 and 17. hope that helps :)


Related Questions

Solve for x assume that lines which appear to be diameters are actual diameters

Answers

The value of x in the circle that shows diameter is calculated as:

x = -7

What is the Diameter of a Circle?

In a circle, the line segment that divides the circle into two halves is the diameter. Half of the circle is a semicircle which has a measure of 180 degrees.

Note: The measure of a central angle is also the same measure with that of the arc it intercepts.

Therefore, we have:

-8x + 9 + 50 + 65 = 180

-8x + 124 = 180

-8x = 180 - 124

-8x = 56

x = 56/-8

x = -7

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Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F

Answers

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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can someone help me pls it Ricardo has made 4 out of the 12 recipes in his cookbook. What fraction of the recipe has he made? and thank you

Answers

Yes, of course!

Ricardo has made 4 out of the 12 recipes in his cookbook.

To find out what fraction of the recipes he has made, you can write it as a fraction:

4/12

To simplify this fraction, you can divide both the numerator and denominator by 4, which gives:

4/12 = 1/3

Therefore, Ricardo has made 1/3 of the recipes in his cookbook.

The table below show the data to find an exponential model.


x 1 4 7 8 10

y. 798 1078 1519 2075 3102

1 goes with 798, 4 goes with 1078, 7 goes with 1519, 8 goes with 2075, and 10 goes with 3102

a. Write the data set to be used in order to linearize the data.


b. Write the system of equations


c. Write the matrices.


d. Indicate the c values


e. Write the exponential model in the form Y=C* 10^bx

Answers

a. The exponential model is of the form Y=Ce^bx. Taking natural logarithms of both sides of the equation, we get ln(Y)=ln(C)+bx. This form is linear in ln(Y).

The data set to be used to linearize the data is:

x ln(y)
1 ln(798)
4 ln(1078)
7 ln(1519)
8 ln(2075)
10 ln(3102)

b. The system of equations is:

$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$

c. The matrices are:

$\begin{pmatrix}5 & \sum_{i=1}^{5} x_i \\ \sum_{i=1}^{5} x_i & \sum_{i=1}^{5} x_i^2 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}\sum_{i=1}^{5} ln(y_i) \\ \sum_{i=1}^{5} x_i ln(y_i) \\\end{pmatrix}$

$\begin{pmatrix}5 & 30 \\ 30 & 266 \\\end{pmatrix}\begin{pmatrix}b \\ ln(C) \\\end{pmatrix}=\begin{pmatrix}7.986 \\ 27.214 \\\end{pmatrix}$

d. Solving for b and ln(C) using a calculator or a matrix-solving tool, we get:

b = 0.2695
ln(C) = 6.6195

Taking exponential of ln(C) we get C = 760.9305.

Therefore, the values of c are: C = 760.9305.

e. The exponential model in the form Y=C * 10^(bx) is:

Y = 760.9305 * 10^(0.2695x).

Calculate the value of x. Give your answer as an integer or as a fraction in its simplest form. 18 mm S 3 mm xmm T 10 mm8​

Answers

The value of the missing length of the enlarged triangle in the simplest form would be = 60mm.

How to calculate the missing length of the triangle?

To calculate the missing length, the formula for scale factor should be used such as follows;

Scale factor = Larger dimensions/smaller dimensions

length of ∆T = 10mm

length of ∆S = 3mm

scale factor = 10/3 = 3.33

If the width of ∆S = 18mm

width of ∆ T = 18×3.33

= 59.94 = 60mm

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Write a function of the form y= A sin (Bx-C)+D that has period 8, phase shift -2, and the range -12 ≤y≤-4.

y =

Answers

A function of the form y= A sin (Bx-C)+D that has period 8, phase shift -2, and the range -12 ≤y≤-4 is y = 4 sin (π/4 x + π/2) - 8

To write a function of the form y = A sin (Bx - C) + D that has a period of 8 and phase shift of -2, we can use the general formula:

y = A sin [(2π/P)(x - C)] + D

where P is the period, C is the phase shift, and D is the vertical shift. In this case, P = 8 and C = -2, so we have:

y = A sin [(2π/8)(x + 2)] + D

Simplifying the equation, we get:

y = A sin (π/4 x + π/2) + D

To find the amplitude A and vertical shift D that satisfy the range -12 ≤ y ≤ -4, we can use the fact that the sine function oscillates between -1 and 1. If we set A = 4, then the maximum value of y is 4 + D, and the minimum value of y is -4 + D. To ensure that the range is -12 ≤ y ≤ -4, we need to choose D such that:

4 + D ≤ -4 and -4 + D ≥ -12

Solving these inequalities, we get:

-8 ≤ D ≤ 0

Therefore, a function that satisfies the given conditions is:

y = 4 sin (π/4 x + π/2) - 8

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3. Olivia's mother surprised her with pasta packed in a rectangular prism shaped lunch box. How much quantity of pasta is served to Olivia given that the dimensions of the rectangular prism are as follows:

length= 5 in , width= 4 in, height= 3 in

Answers

The quantity of pasta is served to Olivia is 60 in³.

Olivia's mother packed her lunch in a lunch box which is in the shape of rectangular prism, with dimension = length= 5 in, width= 4 in, height= 3 in,

We need to find the quantity of the lunched packed in the box,

So, we will find the volume of the box = length × width × height

= 5 × 4 × 3

= 60 in³

Hence the quantity of pasta is served to Olivia is 60 in³.

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(+25)-5x5:2+2²
27-5×5=2+2²

Answers

Answer:

16.5 = 6

Step-by-step explanation:

The equation given is (+25)-5x5:2+2² = 27-5×5=2+2². When calculating, we first simplify the division to get (+25)-12.5+4 = 27-25+4. Then we add and subtract the values on either side to get 16.5 = 6. Finally, as the equation is incorrect, we can conclude that the initial assertion is false. It is important to carefully follow the order of operations and simplify expressions correctly to avoid errors in equations.

Use the given circumference to find the surface area of the spherical object. a pincushion with C = 24 cm

Answers

Answer:

approximately 183.4 square centimeters.

Step-by-step explanation:

We can use the formula for the circumference of a sphere, which is:

C = 2πr

where C is the circumference and r is the radius.

We know that the circumference of the pincushion is 24 cm. We can use this to find the radius:

C = 2πr

24 = 2πr

r = 24/(2π)

r ≈ 3.82 cm

Now that we know the radius, we can use the formula for the surface area of a sphere, which is:

A = 4πr^2

Substituting the value we found for the radius, we get:

A = 4π(3.82)^2

A ≈ 183.4 cm^2

Therefore, the surface area of the pincushion is approximately 183.4 square centimeters.

Find the ratio specified in the picture.
Find sin A.
A
12
13
C 5 B

Answers

The value of sin A using trigonometric ratios is: 12/13

How to solve trigonometric ratios?

There are three main trigonometric ratios in right angle triangles and they are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

We want to find sin A and as such using trigonometric ratios on the attached right angle triangle, we have:

sin A = 12/13

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Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram.

What is the distance between Garret and Dino?



Enter your answer in the box. Round your final answer to the nearest yard.

Answers

The distance between Garret and Dino to the nearest yard is: 21 yds

How to find the missing length of the triangle?

The Law of Cosines is defined as a numerical formula that expresses the relationship between  the side lengths and points of any triangle. It usually expresses that the square of any particular side of a triangle is equal to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them.

Numerically, the Law of Cosines can be expressed as:

c² = a² + b² - 2abcos(C),

where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.

Thus, the distance here is expressed as:

d² =  15² + 17² - 2(15 * 17)cos(81)

d = √434.218

d = 20.838 yds

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LAST QUESTION FOR THE NIGHT I NEED HELP WITH IT I’M KINDA STRUGGLING HERE

Answers

The solution to the system of equations in this problem is given as follows:

(-1, -5).

How to solve the system of equations?

The system of equations in the context of this problem is defined as follows:

y = x - 4.y = -3x - 8.

The x-coordinate of the solution in the context of this problem is obtained equaling the two equations, as follows:

x - 4 = -3x - 8

4x = -4

x = -1.

Hence the y-coordinate of the solution is obtained as follows:

y = -1 - 4

y = -5.

Thus the solution is:

(-1, -5).

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In △ABC, we are told that a=17, ∡B=70∘, and ∡C=48∘. Solve for b and c.

Answers

Answer: b=18.1 and c=14.3

Step-by-step explanation:o solve for the lengths of the sides b and c in triangle ABC, we can use the law of sines, which relates the lengths of the sides of a triangle to the sines of the angles opposite those sides. Specifically, the law of sines states that:

a/sin(A) = b/sin(B) = c/sin(C)

where A, B, and C are the angles of the triangle opposite sides a, b, and c, respectively.

Given that a = 17, B = 70°, and C = 48°, we can write:

b/sin(70°) = 17/sin(A)

c/sin(48°) = 17/sin(A)

To solve for b and c, we need to find sin(A). We can do this by using the fact that the angles of a triangle sum to 180°:

A + B + C = 180°

A = 180° - B - C

A = 180° - 70° - 48°

A = 62°

Now we can substitute sin(A) = sin(62°) into the equations above and solve for b and c:

The low temperatures for four nights in December for a city are recorded below.



−4°, 1°, 3°, −2°



Which lists the temperatures in the correct order from coldest to warmest?

Answers

Coldest to warmest would be -4,-2,1,3

if $5700 is invested in a savings account for which interest is compounded annually, and if the $5700 turns into $6100 in 12 years, what is the interest rate of the savings account?

Answers

Answer:

We can use the formula for compound interest:

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

where A is the ending amount, P is the principal (starting amount), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.

We know P = $5700, A = $6100, n = 1 (since the interest is compounded annually), and t = 12. We can solve for r:

$6100 = $5700(1 + r/1)^(1*12)

$6100/$5700 = (1 + r)^12

1.0702 = (1 + r)^12

log(1.0702) = log[(1 + r)^12]

0.0291 = 12log(1 + r)

0.00243 = log(1 + r)

10^(0.00243) = 1 + r

r = 0.0059 or 0.59%

Therefore, the interest rate of the savings account is 0.59%.

HELP PLEASEE!! The aquarium has 6 fewer yellow fish than green fish. 40% of the fish are yellow. How many green fish are in the aquarium? Show your work. Show all steps please.

Answers


Green fish: x
Yellow fish: x - 6

So, the total number of fish = x + (x - 6) = 2x - 6

40% of the fish are yellow, so:
0.4 (2x - 6) = x - 6
0.8x - 2.4 = x - 6
- 0.2x = - 3.6
x = 18

Thus, green fish = 18

Evaluate 6×[2−(4)×(–8)]

Answers

Answer:204

Step-by-step explanation:

pemdas

6x[2--32]=6×[34]=204

At a local college, 82 of the male students are smokers and 328 are non-smokers. Of the female students, 148 are smokers and 252 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?

Answers

Let's start by calculating the probability that a male student is a smoker:

P(male smoker) = 82 / (82 + 328) = 0.20

Similarly, the probability that a female student is a smoker is:

P(female smoker) = 148 / (148 + 252) = 0.37

To calculate the probability that both are smokers, we need to multiply these probabilities:

P(both smokers) = P(male smoker) x P(female smoker)
P(both smokers) = 0.20 x 0.37
P(both smokers) = 0.074

Therefore, the probability that both a male and a female student selected at random from the college are smokers is 0.074, or approximately 7.4%.

48 inches by 36 inches what is the square feet

Answers

Answer:

1728 square ft²

Step-by-step explanation:

48x36=1728

Answer:

[tex]\large \boxed{\mathrm{Area}}[/tex] = [tex]\large \boxed{\mathrm{12 \ ft^2}}[/tex]

Steps:

12 inches = 1 foot

48 / 12 = 4 [tex]\meduim \boxed{\mathrm{feet}}[/tex]

36 / 12 = 3 [tex]\large \boxed{\mathrm{feet}}[/tex]

Answer:

3 x 4 = 12 ft²

please help me i relly need help

Answers

Answer:

  h(x) = 3·2^x

Step-by-step explanation:

You want the equation of the exponential curve h(x) = a·b^x when it goes through the points (0, 3) and (1, 6).

Points

When x=0, the equation is ...

  h(0) = a·b^0 = a

We know that h(0) = 3, so a = 3.

When x=1, the equation is ...

  h(1) = 3·b^1 = 3b

We know that h(1) = 6, so 3b = 6, or b = 2.

The equation is h(x) = 3·2^x.

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Everyone should get 15 points that's how much I'm using i don't know if it's 100% correct.

Answers

The box plot that has the smallest interquartile range would be the fourth box plot.

The bar graph that shows Ellen's steps would be B. Second bar graph.

How to find the box plot and bar graph?

The interquartile range on a box plot can be found by subtracting the figure where the box starts at, from the figure where the box plot stops.

This means that the figure with the least interquartile range is the fourth box plot with an interquartile range of :

= 8 - 4

= 4

The bar graph that would show Ellen's steps would be the one that has the most steps on the graph, closest to the mean of 10, 000 steps. Only Graph B has steps in the number of days, which are closest to 10, 000 steps consistently so this is the correct graph.

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As seen in the diagram below, Arun is building a walkway with a width of x feet to go around a swimming pool that measures 15 feet by 7 feet. If the total area of the pool and the walkway will be 713 square feet, how wide should the walkway be?​

Answers

The walkway around the swimming pool should be 8 feet wide.

Calculating the width of the walkway

From the question, we are given:

Length of the pool (l) = 15 feet

Width of the pool (w) = 7 feet

width of walkway (X) = X feet

Total Area =  Area of pool and walkway = 713 square feet

Let's derive equation for the pool and walkaway combined:

length of the pool and walkway = 15 + 2X [walkway is on both sides]

width of the pool and walkway = 7 + 2X

Total Area = (length x width) of the pool and walkway

713 = (15 + 2X) x (7 + 2X)

713 = 15(7 + 2X) + 2X(7 + 2X)

713 = 105 + 30X + 14X + 4X²

713 = 105 + 44X + 4X²

Rearrange the equation

4X² + 44X + 105 = 713

Collect like terms and express in a proper quadratic equation

4X² + 44X - 608 = 0

Dividing both sides by 4, we get

X² + 11X - 152 = 0

Solve this equation quadratically

X =  [tex]\frac{-b \± \sqrt{b^{2} - 4ac}}{2a}[/tex]

where

a = 1

b = 11

c = -152

Plug in the value into the equation

X = [tex]\frac{-11 \± \sqrt{11^{2} - 4(1)(-152)}}{2(1)}[/tex]

X = [tex]\frac{-11 \± \sqrt{121 + 608}}{2(1)}[/tex]

X = [tex]\frac{-11 \± \sqrt{729}}{2}[/tex]

X = [tex]\frac{-11 \± 27}{2}[/tex]

X = [tex]\frac{-11 + 27}{2}[/tex] or [tex]\frac{-11 - 27}{2}[/tex]

X = [tex]\frac{16}{2}[/tex] or [tex]\frac{-38}{2}[/tex]

X = 8 or -19

But since the width of the walkway cannot be negative, the only valid solution is therefore:

X = 8

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256 chairs in the cafeteria. this is 8 times as many chairs in the library. total chairs in the library

Answers

Answer:

32

Step-by-step explanation:

in the word problem “256 chairs in the cafeteria. this is 8 times the chairs in the library.” Which means 8 times the number of chairs in the library equals the number of chairs in the cafeteria.

L = library

8 x L = 256

to find L divided 256 by 8

256/8 = 32

L = 32

Check the answer

8 x 32 = 256

Abbie needs to cover square pyramids with fabric. The dimensions of each pyramid are shown in the table. If the fabric costs $0.001 per square millimeter, what is the surface area and cost to cover each pyramid, rounded to the nearest whole cent?

Please help!!!!

Answers

The surface area of each square pyramid, we used the formula Surface Area = Base Area + 4 x (1/2 x Base x Height of Face) is 1049.2mm², 1285.8mm² and 2100mm². The cost to cover each pyramid was $1.05, $1.29 and $2.10.

To calculate the surface area of each pyramid, we need to use the formula

Surface Area = Base x Height of face + 2 x ((Base/2) x Slant Height)

For the small pyramid, we have

Surface Area = 20 x 25 + 2 x ((20/2) x 26.46)

Surface Area = 500 + 2 x 10 x 26.46

Surface Area = 1049.2 mm²

Cost to cover the small pyramid

Cost = Surface Area x 0.001

Cost = 1049.2 x 0.001

Cost = $1.05

For the medium pyramid, we have

Surface Area = 20 x 40 + 2 x ((20/2) x 42.43)

Surface Area = 800 + 2 x 10 x 42.43

Surface Area = 1285.8 mm²

Cost to cover the medium pyramid

Cost = Surface Area x 0.001

Cost = 1285.8 x 0.001

Cost = $1.29

For the large pyramid, we have

Surface Area = 30 x 40 + 2 x ((30/2) x 50)

Surface Area = 1200 + 2 x 15 x 50

Surface Area = 2100 mm²

Cost to cover the large pyramid

Cost = Surface Area x 0.001

Cost = 2100 x 0.001

Cost = $2.10

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What are the coordinates of the image of the point (8,1) after a dilation by a scale factor of 2 with the origin as the center of dilation, followed by a translation over the y-axis

Answers

The point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).

Given is a point, (8, 1) we need to find the coordinates of a point which is dilated from the origin by the scale factor of 2 and translation over the y-axis,

So, the coordinates of after dilation by k scale factor =

(x, y) = (kx, ky)

So, (8, 1) = (16, 2)

Now, the translation over the y-axis gives,

(x, y) = (-x, y)

Therefore, (16, 2) = (-16, 2)

Hence, the point after a dilation by a scale factor of 2 with the origin as the center of dilation, and a translation over the y-axis is (-16, 2).

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birth weights for a simple random sample of 195 boys were recorded. the mean weight calculated for this sample was 3.04 kilograms and the standard deviation was 0.71 kilograms

Answers

Answer:

The sample mean birth weight for the 195 boys is 3.04 kilograms and the sample standard deviation is 0.71 kilograms.

Step-by-step explanation:

Alicia bitman,age
30,plans to purchase a $50,000 whole-life policy what is the annual premium

Answers

The annual premium is $192.5.

We have,

Number of units to be purchased by Alicia:

= 50,000 / 1,000

= 50 units

At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.

= Number of units purchased x Premium per $1,000

= 50 x 3.85

= $192.5

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Describe by a write up on how models can be used to express numbers of different bases to base 2 and base 5

Answers

Conversion models can be used to express numbers of different bases to base-2 and base-5. To convert a number from base-10 to base-2, we use division-by-2, and for base-5, we divide by 5. To convert between bases, we convert to base-10 first and then to the desired base. for example 25 in binary is 11001, 45 in base-5 is 104, 89 to base-2 is 1011001.

In computer science and mathematics, binary (base-2) and quinary (base-5) numbering systems are commonly used to represent numbers. However, it is often necessary to express numbers in other bases as well. This is where conversion models come into play.

To convert a number from base-10 to base-2, we can use the division-by-2 method.

The process involves repeatedly dividing the decimal number by 2 and keeping track of the remainders until the quotient becomes 0. We then write the remainders in reverse order to get the binary representation of the number.

For example, to convert the number 25 to binary

25 / 2 = 12 R1

12 / 2 = 6 R0

6 / 2 = 3 R0

3 / 2 = 1 R1

1 / 2 = 0 R1

Therefore, 25 in binary is 11001.

To convert a number from base-10 to base-5, we can use a similar method. Instead of dividing by 2, we divide by 5 and keep track of the remainders. For example, to convert the number 45 to base-5

45 / 5 = 9 R0

9 / 5 = 1 R4

1 / 5 = 0 R1

Therefore, 45 in base-5 is 104.

We can also convert a number from base-2 to base-5 or vice versa. To convert a number from base-2 to base-5, we can first convert it to base-10 and then to base-5. For example, to convert the binary number 101110 to base-5

1*2⁵ + 0*2⁴ + 1*2³ + 1*2² + 1*2¹ + 0*2⁰ = 46

46 to base-5 is 141

To convert a number from base-5 to base-2, we can first convert it to base-10 and then to base-2. For example, to convert the quinary number 324 to base-2

3*5² + 2*5¹ + 4*5⁰ = 89

89 to base-2 is 1011001

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10. Find the surface area of the
polyhedron that can be
assembled from this net. Show
your reasoning.

Answers

The surface area of the polyhedron is calculated be equal to 224 square inches.

How to evaluate for the area of the polyhedron

The polyhedron can be observed to have a large rectangle between two identical triangles by the sides

area of rectangle = length × width

The large rectangle have;

length = (12 + 10 + 10) in = 32 in

width = 4 in

area of large rectangle the = 32 in × 4 in = 128 in²

area of one identical triangles = 1/2 × 12 in × 8 in = 48 in²

area of 2 identical triangles = 2 × 48 in² = 96 in²

Surface area of the polyhedron = 128 in² + 96 in²

Surface area of the polyhedron = 224 in²

Therefore, the surface area of the polyhedron is calculated be equal to 224 square inches.

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I need help with this problem

Answers

Answer:

0.375

Step-by-step explanation:

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List the red flag for meningitis listed on the slide. Which of the following is represented by Dv?O A. ChordB. RadiusC. DiameterD. Circumference The release of carbon dioxide from Lake Nyos mirrors an earlier event at Lake Monoun in 1984. Scientists think that this earlier event was probably due to ______. it takes as input the number of tikets sold and returns as output the amount of money raised a(n) = 3n - 20 Suppose a 200mm focal length telephoto lens is being used to photograph mountains 9.5km away.a) What is image distance, in meters, for this lens?b) What is the image height, in centimeters, of a 950m high cliff on one of the mountains? calculate the amount (mol) of each compound based on the masses that react. molar mass of naoh: 40.00 g/mol molar mass of fecl3: 162.21 g/mol Homework Problems Problem 9.12. Here is a game you can analyze with number theory and always beat me. We start with two distinct, positive integers written on a blackboard. Call them a and b. Now we take turns. (I'll let you decide who goes first.) On each turn, the player must write a new positive integer on the board that is the difference of two numbers that are already there. If a player cannot play, then they lose. For example, suppose that 12 and 15 are on the board initially. Your first play must be 3, which is 15 12. Then I might play 9, which is 12 3. Then you might play 6, which is 15 9. Then I can't play, so I lose. (a) Show that every number on the board at the end of the game is a multiple of gcd(a, b). (b) Show that every positive multiple of ged(a, b) up to max(a, b) is on the board at the end of the game. (c) Describe a strategy that lets you win this game every time. In a certain board game, a 12-sided number cube showing numbers 1-12 is rolled. In this game, a number cube must be rolled until a number 9 or higher appears.Is it appropriate to use the geometric distribution to calculate probabilities in this situation? O Yes, the geometric distribution is appropriate. O No, since each trial is not independent of the other trials. O No, because it is not looking for the first occurrence of success. O No, since a success and failure on each trial cannot be defined. a ray of light originates inside a tank of unknown liquid. the ray strikes the liquid/air surface and refracts as a result. the index of refraction of the unknown liquid is 1.30 . the angle of incidence of the ray in the liquid with respect to the normal is 12.0 degrees. what is the angle of the internal reflection? Which of the following sentences would make a good thesis statement for Paulettes essay? Check all that apply. The Internet is the ultimate marketing tool because a variety of advertising formats can be utilized to reach the largest number of consumers. Internet advertising is the most efficient form of marketing for several reasons. In 2013, money earned from Internet advertisements increased 18% from 2012. E-mail, web banner, and social media advertising are the three delivery methods that make Internet advertising the most desirable choice for marketers. Advertisements are important. What model is often followed in order to charge for cloud usage?a. Pay as you terminateb. Pay as you goc. Pay as you cand. Pay as you will title:The Effects of working students in college theory/ author/ date/ citation of theoretical framework about working students Cruz purchased a large pizza for $12.75. It serves 5 people. What is the cost per serving? $2.55 per serving $2.60 per serving $3.15 per serving $7.55 per serving in a solution of magnesium ions and sulfate ions, if the reaction quotient is greater than the solubility product: select the correct answer below: a.a precipitate forms b.an emulsion forms c.all ions remain solvated d.impossible to tell in the reaction, h 2 po4- (aq) h 2 o (l) hpo42- (aq) h 3 o (aq), which species is the {conjugate acid, conjugate base}? questions on phylum protozoa Let tans = -5 and 3x < < 5x/2. Find the exact value of the following. A) tan(2)b) cos(2)c) tan(/2) Over the past month, the Ashland library has loaned out many CDs, which are categorized by genre.pop 65rock 10rap 15Considering this data, how many of the next 30 CDs loaned out should you expect to be rap CDs? Question 5 (5 points)Match the word with the correct definition.Column A1.2.3.4.5.-Walled in areaJewish police officer who helps NazisCelebration of Jewish boy turning 13Prisoner put in charge of other prisonersJewish moneyQuestion 601Column Ba. Zlotyb. Jewish Ghettoc. Kapod. Judenrate. Bar Mitzvah Conductivity unit of measureA) ionsB) siemen/cmC) nobles/cmD) ohms/cmE) amps