Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

120 mg / ( 300 mg/ 10ml) = 4 ml

The length is 98 cm.

Length is described because of the size or extent of something from quit to cease. In different phrases, it's miles the bigger of the two or the very best of three dimensions of geometrical shapes or objects. As an example, a rectangle has its dimensions as period and breadth.

The length can be measured in different gadgets like centimeters, inches, meters, or through the usage of a handspan, foot span, and so on. The gadgets of measuring duration may be classified into sorts: well-known gadgets of measuring period and non-fashionable units of measuring period.

The length is the longest measurement of a parent and it indicates how long the given item or parent is. It's far expressed in linear devices like meters, centimeters, inches, and so forth. Width is the shorter distance of an object or a figure and it suggests how huge or extensive the given discern is.

Length + Width + Length + Width = Perimeter

Length + 72 cm + Length + 72 cm = 340 cm

72 + 72 = 144

340 - 144 = 196

=196 ÷ 2

=98

74cm + 96cm + 74cm + 96cm = 340 cm

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Answer:

Answer

Tony:48

Gordan :64

Step-by-step explanation:

\(\begin{array}{c|c|c}Age&Gordon&Tony\\------------------&-------&-------\\now&g&t\\when\ gordan\ was\ as\ old\ as\ tony\ is\ now&t(=g-g+t)&t-g+t=2t-g\\\end{array}\\\\\\\\\left\{\begin{array}{ccc}g&=&2*(2t-g)\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}3g&=&4t\\g+t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}g&=&\dfrac{4}{3}\\\dfrac{7}{3} t&=&112\\\end {array}\right.\\\\\\\left\{\begin{array}{ccc}t&=&48\\g&=&64\\\end {array}\right.\\\)

Proof:

16 years ago, Gordan was 48 and Tony 32.

64=2*32

64+48=112

Answer:

4! = 24

Step-by-step explanation:

4! = 4 * 3 * 2 * 1

4! = 24

The equation can you use to find the rental cost, d, of each day they used the RV is 895=8d+55

What does $895 comprises of?

The $895 paid  for the duration of the trip consists of the payments for the RV for 8 days and additional amount of $55 which is for the outdoors upgrade.

The equation that can be used to determine rental cost per , d , per day considers that the total rental cost is number of days, 8 days  multiply by the rental  cost per day, which is d, and also that the final $55 is specifically for outdoors upgrade

Total cost=d*8+$55

Remember total cost of the trip is $895

$895=8d+$55

Which we can rewrite the expression by ignoring the dollar sign as below:

895=8d+55

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(a)  the probability of generating 999999 is \((1/10)^6\)

(b) the probability of generating 703928 is \((1/10)^6\)

(c) the probability of generating a sequence of six identical digits is \((1/10)^6\)

(d)  the probability of generating a sequence with no identical digits is  15,120/1,000,000.

(e)  the probability of generating a sequence with exactly one repeated digit is\(10 * 6 * (9^4).\)

Probability is described as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

The probability of generating a sequence with no identical digits is calculated as  (10/10) * (9/10) * (8/10) * (7/10) * (6/10) * (5/10) = 15,120/1,000,000.

We start by choosing  the digit to be repeated, which can be done in 10 ways and the next thing is to choose the position of the repeated digit, and can be done in 6 ways.

We then see that remaining four positions can be filled out with any of the other 9 digits and this can also be   done in \(9^4\) ways.

So we can conclude that the number of possibilities in this case is \(10 * 6 * 9^4.\)

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Answer:

When an obect has rotational symmetry, that means the object will look the same after a certain amount of rotating. When an object has reflection symmetry, it means the object mirrors itself at the midpoint.

Step-by-step explanation:

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

The steps Sergey could use to solve the quadratic equation by completing the square is 5(x2 + 4x) = –7

We should know that in completing the square method both sides of the equation are made perfect squares.

The given equation is 5x²+20x-7=0

Solving this equation by completing the square method we have

5(x²+4x+4)=-7

This means that (x+2)=±√27/5

Simplifying further we have

5(x²+4x)=7

Then expanding to make ²HS a perfect square we have

5(x²+4x+4)=7+20

This means that 5(x²+4x)=-7

Therefore the step he could use is 5(x²+4x)=-7\

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Option D is the correct answer, As a result, LM is 16.1 centimeters long.

The mid-segment of a triangle is aligned to the base and is half the length of the triangle.

MQ = therefore 1/2 LN.

LN = 16.1 centimeters because we know MQ = 8 cm.

MQ is parallel to side LM and half of its length because it is also the midpoint of the triangular LMN.

A line segment linking the midpoints of two of the triangle's sides is known as a mid-segment. It is half the length of the triangle's third edge and parallel to it. In other words, the mid-segment linking the midpoints of sides a and b has length c/2 and is parallel to side c if a triangle has sides of lengths a, b, and c.

Because of this, LM = 2MQ = 16.1 centimeters.

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Answer:

13

Step-by-step explanation:

If 23 like both animals, then the total number of people who like both animals is:

(75 - 23) + (135 - 23) + 23 = 187

Subtract 187 from the total number of people in the survey to find how many like neither:

200 - 187 = 13

Answer:

m=-9+n

Step-by-step explanation:

you want to get m by itself so you subtract 9 on both sides. 9-9 crosses out and you get m by itself. Which leads you to m= -9+n

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

b -2(b - 2)

b-2b+4

-b+4

4-b

The number of people with flip phones is 1500.

The number of people with smartphones is 2000.

Ratio is used to compare two or more numbers. Ratio is used to show the  number of times that one value is contained within other value(s). The sign used to represent ratios is :.  In this question, for every 4 smartphones, there are 3 flip phones.

Let x represent the number of flip phones.

Number of smartphones = 500 + x

Number of flip phones : (number of flip pones x ratio of smartphones) = (ratio of flip phones x number of smartphones)

4x = 3(500 + x)

4x = 1500 + 3x

Combine similar terms: 4x - 3x = 1500

x = 1500

Number of smartphones = 1500 + 500 = 2000

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Answer:

-1.53

0.47

-2.07

2.65

The last two observations are unusual

Step-by-step explanation:

mathematically;

z-score =( x-mean)/SD

Kindly note that an observation is termed unusual if the z-score is greater than +2 or less than -2

for x= 13

z-score = (13-21.4)/5.5 = -1.53

for x= 24

z-score= (24-21.4)/5.5 = 0.47

for x = 10

z-score = (10-21.4)/5.5 = -2.07

unusual

for x = 36

z-score = (36-21.4)/5.5 = 2.65

unusual

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

Answer:

h represents the Venn diagram for the above question

Answer:

605

Step-by-step explanation:

11x55=605

#1

\(\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}\)

\(\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}\)

\(\\ \rm\Rrightarrow WX/2=10\)

\(\\ \rm\Rrightarrow WX=20\)

Again

#2

\(\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}\)

\(\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}\)

\(\\ \rm\Rrightarrow FG=10\)

Answer:

WX = 20

FG = 10

Step-by-step explanation:

If EFGHI ~ VUTXW

then:

The only pair of sides that both have measures is EF and VU

EF = 8

VU = 16

VU/EF = 16/8 = 2

Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.

As HI = 10

⇒ WX = 10 × 2 = 20

As UT = 20

⇒ FG = 20 ÷ 2 = 10

Answer: 0.000

Step-by-step explanation:

Answer:

9.4674

Step-by-step explanation:

Answer: answer down

Step-by-step explanation:

0.9   -15/30   -3 14/28

Solution

The altitude of a triangle is the perpendicular drawn from the vertex of the triangle to the opposite side. Also, known as the height of the triangle, the altitude makes a right-angle triangle with the base.