Andrei has a job in the circus walking on stilts. Andrei is 11/10 meters tall. The foot supports of his stilts are 23/10 meters high.
How high is the top of Andrei's head when he is walking on his stilts?

2 months in a year

39312/12 = 3276 per month

Answer:

She earned $ 3,276 per month.

Step-by-step explanation:

We know that,

1 year = 12 months,

Given,

Megumi earned a salary of $39,312 last year

⇒ His salary of one year = $ 39,312

⇒ Salary of 12 months = $ 39,312

[tex]\implies \text{salary of 1 month} = \frac{39312}{12}=\$ 3276[/tex]

Hence, she earned $ 3,276 per month.

The polygon which has an interior angle sum of 1080° is an Octagon

From the question, we are to determine which polygon has an interior angle sum of 1080°

To find that, we will determine the number of sides the polygon has.

From the formula for sum of the interior angles in a polygon

Sum of interior angles = (n-2)180°

Where n is the number of sides

Then,

1080° = (n-2) 180°

1080° ÷ 180° = n-2

6 = n-2

n = 6 + 2

n = 8

A polygon with 8 sides is called an Octagon

Hence, the polygon which has an interior angle sum of 1080° is an Octagon

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To find the probability of the union of two independent events, use the formula P(A U B) = P(A) + P(B). In this case, P(A U B) = 0.4 + 0.1 = 0.5.

To find the probability of the union of two independent events, we can use the formula:

P(A U B) = P(A) + P(B) - P(A ∩ B)

Since the two events, A and B, are independent, the probability of their intersection, P(A ∩ B), is 0. This is because the occurrence of one event does not affect the occurrence of the other event. Therefore, we have:

P(A U B) = P(A) + P(B)

Substituting the given values, we get:

P(A U B) = 0.4 + 0.1

= 0.5

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5  7/32 = 167/32

5/32 + 5/32 (2 wall thicknesses of the pipe) =10/32

167/32 - 10/32 = 157/32

= 4 29/32

Answer:

y axis and

Step-by-step explanation:

The point P(a, b) where the value of a is 0, hence point P is located on the y axis.

The coordinate plane is a two-dimensional surface formed by two lines known as the horizontal axis (x axis) and the vertical axis (y axis). The origin is the point of intersection of both axis and it serves as a reference point.

A point on the coordinate plane is located using the x and y coordinates.

Given the point P(a, b) where the value of a is 0, hence point P is located on the y axis.

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To solve this problem, let us first define what a median is. A median is a line segment that connects a vertex and the midpoint of the side opposite to that vertex.

In this case, the vertex is point A while the opposing side is side CB. Since it connects to the midpoint of CB, therefore this means that the median AD equally divides side CB into 2 parts.  Since the length side CB is the sum of the lengths side CD and side BD. Therefore this means that:

length of CD = length of BD

length of CD = 24

Answer:

 24

To avoid distortion of extreme values, a good indicator would be the

B. median.

May has 31 days

 there are 365 days in a year

31/365 probability someone has a birthday in May

The probability of the event A that represents that the man's birthday is in May is 0.084.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -

P(A) = n(A)/n(S)

Given is a person who is randomely selected.

Assume that the Event A represents that the man's birthday is in may.

Total number of days in the month of may = n(A) = 31

Total number of days in a year = n(S) = 365

Therefore, the probability that the man's birthday is in may will be -

P(A) = n(A)/n(S)

P(A) = 31/365

P(A) = 0.084

Therefore, the probability of the event A that represents that the man's birthday is in May is 0.084.

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Answer:

The correct matches are:

1. impulse - a sudden stirring to do something

2. muster - to stir up or bring to action. Like to muster up the courage to speak against the wrong doer.

3. naught - nothing, nonexistence

4. renown - fame ; the condition when you are known or talked about by many people.

5. vacancy - the state of being empty or not filled. Like vacancy for new candidates for a job.

6. thrifty - careful with money . Like a person is thrifty about his own time.

The point on the line [tex]y=3x+2[/tex] that is closest to the origin is [tex](-0.6, 0.2)[/tex].

Given,  [tex]y=3x+2[/tex], whose slope is [tex]3[/tex].

Let [tex]m[/tex] is the slope of the line perpendicular to the above line.

So,

[tex]3\times m=-1\\m=-1/3[/tex]

Then, the general equation of a line perpendicular line will be [tex]y=-1/3x+k[/tex].

So the equation line passing through the origin [tex](0,0)[/tex] and perpendicular to the line [tex]y=3x+2[/tex] is [tex]y=-1/3x[/tex] , [tex](k=0)[/tex].

Then the closest point will be the intersection point of these two lines, i.e.

[tex]3x+2=-1/3x\\9x+6=-x\\10x+6=0\\x=-0.6[/tex]

and

[tex]y=\dfrac{-0.6}{3} \\y=0.2[/tex]

Therefore, the point on the line [tex]y=3x+2[/tex] that is closest to the origin is [tex](-0.6, 0.2)[/tex].

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The solution is, The greatest angle measure is angle F which is 119°

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

The sum of all the angles of a quadrilateral is 360°

(15x-10)°+(15x+14)°+(9x-4)°+(11x+10)° = 360°

Open up the brackets and rearrange the expression

15x-10°+15x+14°+9x-4°+11x+10°=360°

15x+15x+9x+11x-10°+14°-4°+10° = 360°

50x+10°=360°

Collect like terms

50x=360°-10°

50x=350°

Divide by the coefficient of x

x= 350/50

X=7°

Substitute the value of x into the various angles

15x-10°=(15×7)-10= 105-10=95°

15x+14°=(15×7)+14=105+14=119°

9x-4°=(9×7)-4=63-4=59°

11x+10°=(11×7)+10=77+10=87°

The greatest angle measure is angle F which is 119°

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x+3<8

8-3 =5

 X<5

 any number less than 5 will work

Answer:

The missing term is x=32.

Step-by-step explanation:

Given :  The median for the given set of six ordered data values is 26.5.

To find : What is the missing value?

Solution :

The data set is 7 12 21 ?41 50

let the missing term or 4th term be x.

We know, The median of an even number is sum of nth term by 2 and nth+1 term by 2.

So, Applying median formula for even terms is

Term, [tex](\frac{n}{2},\frac{n}{2}+1)[/tex]

[tex](\frac{6}{2},\frac{6}{2}+1)=3^{rd},4^{th}[/tex]

The median is sum of 3rd and 4th term.

[tex]26.5=\frac{21+x}{2}[/tex]

[tex]53=21+x[/tex]

[tex]53-21=x[/tex]

[tex]32=x[/tex]

Therefore, The missing term is x=32.

If the median for the given set of six ordered data values is 26.5 then the missing value is 32.

The ordered set of data values is:

7, 12, 21,x, 41, 50

Given that the median is 26.5, it represents the middle value of the data set.

Since the set has six values, the median should be the average of the two middle values.

Let's assume the missing value is 'x':

7, 12, 21, x, 41, 50

We can see that 'x' should be the fourth value to maintain the ascending order.

Now, we need to find the value of 'x' that makes the median equal to 26.5.

To calculate 'x', we can set up the equation:

(21 + x) / 2 = 26.5

Multiply both sides by 2:

21 + x = 53

Subtract 21 from both sides:

x = 32

Therefore, the missing value in the set is 32.

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A continuous random variable can assume any value within one or more intervals and result from measurements, providing an uncountable range of possibilities. Continuous random variables are commonly used in many fields, including reliability engineering and standardized testing, to assess continuous data.

A continuous random variable is a type of random variable that can assume any value within one or more intervals. Unlike discrete random variables, which take on countable values, continuous random variables result from measurements rather than counts. For instance, the temperature of a day measured by a thermometer or the height of students measured by a ruler are examples of continuous random variables. The values are uncountable as they lie on a continuum, like the speed of an automobile or the duration of a telephone call.

Two main characteristics of a discrete probability distribution function include the fact that each probability must be between zero and one, inclusive, and the sum of the probabilities should equal one. These rules do not apply to continuous random variables, which instead use probability density functions to describe their distributions.

Continuous random variables play significant roles in numerous applications such as assessing baseball batting averages, calculating IQ scores, and evaluating SAT scores. In the field of reliability engineering, a variety of continuous random variables are essential for analyzing the life expectancy of components.