The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 80?

a. What are the keywords and information needed to solve this problem?

The keywords are the words that allow us to solve the problem, So they are:

The picnic is for 62 guests

Each guest will receive at least 1 hamburger

Every package contains 8 hamburgers

b. Write the inequality that describes this situation.

Now, we can formulate an equation for the number of hamburgers H that each guest is going to receive if Radash buys p packages:

H = 8p/62

Because 8p is the number of total hamburgers and there are 62 guests.

Then, we know that H needs to be at least 1, so:

H ≥ 1

8p/62 ≥ 1

c. How many packages of hamburgers will Rashad need to purchase to feed his guests?

Then, we need to solve for p as:

Multiplying by 62 on both sides:

(8p/62)*62 ≥ 1 * 62

8p ≥ 62

Dividing by 8:

8p/8 ≥ 62/8

p ≥ 7.75

Therefore, Radash needs to buy at least 8 packages of hamburgers.

Answers:

a. The picnic is for 62 guests

Each guest will receive at least 1 hamburger

Every package contains 8 hamburgers

b. 8p/62 ≥ 1

c. At least 8 packages

The slope is 29

The slope of a line is given as:

Where -82 and -81 are the coordinates for x, and

-25 and 4 are the coordinates for y.

Answer:

Step-by-step explanation:

The lowest common denominator of 38 and 56 is 24. This allows us to convert the two fractions into 924 and 2024 for the purpose of adding and subtracting them.

The LCM is 24

Reason: 6*8/2 = 48/2 = 24

We multiply the denominators 6 and 8, then divide by 2 which is the GCF of the denominators.

Then we can use this to add the fractions

5/6 + 3/8

(5/6)*(4/4) + (3/8)*(3/3)

20/24 + 9/24

(20+9)/24

29/24

Therefore, 5/6 + 3/8 = 29/24

The values of function F(5) is 35 and F(-10) is 4.

For F(5), x≥5

So, the appropriate function will be

[tex]F(x)=6x+5\\\\F(5)=6(5)+5\\\\F(5)=30+5\\\\F(5)=35[/tex]

For f(-10),  x≤-8

So, the appropriate function will be

[tex]F(x)=4\\\\F(-10)=4[/tex]

Thus,  the values of function F(5) is 35 and F(-10) is 4.

To learn more about  value of function refer here

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To write three and two fifths

Solution:

Three is a whole number and two-fifths is a proper fraction

Therefore, three and two-fifths as a mixed number is;

As an improper fraction,

Therefore, three and two-fifths as an improper fraction is 17/5.

Th

Explanation

to add two natural numbers, just move n units the initial to the rigth in the numeric line, so

fo

Answer

A. sin Y = 38/63

Explanation

Given:

What to find:

To find the correct trigonometric function of the given diagram.

Step-by-step solution:

Using the trigonometric function: SOH CAH TOA

From the diagram, θ = Y, Opposite = 38, Hypotenuse = 63

So the correct trigonometric function based on the given picture will be:

Thus, the correct answer is option A. sin Y = 38/63

-3b / 8

The given expression is:

Which can be re-written as:

Note that the LCM of 8 and 4 is 8

Therefore, the expression can be simplified as:

The simplified expression is -3b/8

ANSWER:

C.

EXPLANATION:

Given:

To find:

The exponential function represented by the data in the given table

Let's go ahead and check each of the given functions to determine the right function;

*For the first function;

We can see that the first function is not the right function

*For the second function:

We can see that the first function is not the right function

*For the third function:

We can see that the third function is the right function

coordiantes of the circle center = (h, k) = (0, 2)

h = 0, k = 2

r = 2

plotting the graph:

Step 1

Write the additive property of addition.

Where

Step 2

Find the simplified form of the problem using the property in step 1

Hence the rewritten form of the problem using the additive property is

(-1+2.8)+(-2) and the simplified form of the problem = -0.2

We will graph a plot of this expression, we have:

The graph is neither symmetric to the x-axis nor the y-axis. Hence, y = x

9

1) In this right triangle we can find the missing leg by using the Pythagorean Theorem.

2)

a² = b² + c² Note that the hypotenuse is unknown so far

a² = 7² + (4√2)²

a² = 49 +(16 x2)

a² = 49 +32

a² =81 Take the square root on both sides

√a² = √81

a = -9, 9 Negative numbers for dimensions are not convenient.

a = 9

3) Hence, the answer is 9

Multiply the following polynomials;

(1)

(2)

(3)

We can calculate the probability as the ratio between the positive outcomes (selecting Alex, in this case) and the total possible outcomes.

In one draw, Alex has a chance of 1 in 4, as only one of the four papers has his name on it.

The probability is 1/4 or 0.25.

Given:-

To find the value of x-9+2y.

So now we substitute the known values. we get,

So the required solution is 12.

Kelly, this is the solution:

We have the following system of equations:

y = 1/4x + 4

x + y = - 1

___________

Solving it algebraically:

x + (1/4x + 4) = -1

5/4x + 4 = -1

5/4x = -1 - 4

5/4x = -5

x = -4

-4 + y = -1

y = -1 + 4

y = 3

Solving it graphically:

The volume of cylinder is.

The height of cylinder is h = 16.

The formula for the volume of the cylinder is,

Determine the length of radius of cylinder.

So length of cylinder radius is 9 cm.

Given:-

The graph of x power 4.

To find the equation when the graph is shifted right 1 unit.

So the equation in vertex form is,

Substituting the values. we get,

Since the graph is shifted right side the value will be in negative. so we get,

The area of a square is given by:

Where:

l = length of one of its sides:

Since the area is 81, and the length of one of its sides is x, then:

Take the square root of both sides:

A1Okay, here we have this:

Considering the provided information, we are going to calculate the requested questions, so we obtain the following:

To know how many grams of fruit and yogurt I use then let's consider that I use 2/3 of the total fruit,

Given:

Claudia dumped her 200-penny coin.

Claudia repeated this process 5 times and had an average of 84 pennies landing heads up.

The theoretical probability of a penny landing heads up is 21/50.

Option C is the final answer.

Take into account that an isosceles triangle has two sides with equal lengthd and two internal angles with the same measure.

Then, for instance, you have the following triangle:

As you can notice, you have two angles with the same measure and two sides with the same lengths.

Area of rectangular Pentagon = 5 * s^2 / (4tan(36°)) =5 × (3)^2 / (4*tan(36) ) = 17.73

the sides of the box are squares. their sides are 3 ft long. So the area of each square is 25 ft^2

Now, there are 5 sides, so if we mutiply 5 * 25 ft^ = 125 ft^2

So the answers are:

She needs 125 ft^2 to enclose the entire sandbox

and it would take up 142.73 ft^2

Median:

1. Order the data from less to greater:

4.4

5

5.2

5.7

14.9

18.8

2. As it is a even number of data you take the average of the two data in the middle to find the median:

Standard deviation formula (for a sample):

To find the standard deviation of the given data:

1. Find the difference between each data and the mean:

2. Find the square of each difference:

3. Find the sum of the squares:

4. Use the formula of the standard deviation for n=6:

Okay, here we have this:

Considering the provided information, we are going to calculate the requested mass, so we obtain the following:

Then we will substitute in the following formula:

density=mass/volume

0.9 g/cm^3=mass/157.08 ft^3

mass=0.9 g/cm^3*157.08 ft^3

Then we will convert the volume from cubic feet to cubic centimeters in order to operate:

mass=0.9 g/cm^3*(157.08 ft^3*(28317 cm^3/1 ft^3)

mass=0.9 g/cm^3*4448034.36cm^3

mass=4003230.924 g

Finally let's convert the mass to kilograms:

mass=4003230.924 g*(1kg/1000g)

mass=4003.230924 kg

Finally we obtain that the mass of the cylinder is approximately 4003.230924 kg.

We have the following information from the question:

• A sight-seeing ship is stopped in the water for an hour, miles from the shore.

• Then the captain heads the ship back to the shore at a constant rate.

• The ship docks at the shore for a while and then return to the open sea.

Then we have to choose the graph that best represents the situation.

To do this, we need to analyze the three situations separately by knowing that on the y-axis we have graphed a distance relative to the shore (dependent variable), and on the x-axis, we have the time as an independent variable:

1. A sight-seeing ship is stopped in the water for an hour, miles from the shore:

If we see this situation, we have to check a distance larger than zero at x = 0. Then we have to see a horizontal line for an hour since the ship is stopped in the water for an hour, and this is because the ship is stopped, and the ship remains in the same place for an hour.

2. Then the captain heads the ship back to the shore at a constant rate:

It means that the ship will shorten the distance with respect to the shore, and this will be verified at a constant rate. Then we need to check in the graph a segment with a negative slope.

3. The ship docks at the shore for a while and then return to the open sea:

We need to check on the graph that the distance from the shore will be zero, and then we will have a horizontal line since the ship will remain for a while in the shore. Then the ship will return to the open sea, and we will check that the distance to shore will increase constantly.

Therefore, the graph that gives the best representation is the second graph from the left, that is:

Therefore, in summary, the

Ok, here we have this data:

I: Initial point (4,-8)

T: Terminal Point (5,2)

IT==<5-4, 2-(-8)>=<1, 10>

The component form is <1,10>

Remember that the formula to calculate the midpoint between two points is given by

substitute given coordinates