Find the value of x. assume that segments that appear to be tangent are tangent.​

The standard deviation of the given data is 3.5

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }[/tex]

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ =  √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

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Answer:

To answer your question m8 it would be $30

Step-by-step explanation:

60 students times 3 is 180 and subtract that by 150, you get 30.

Answer: B

Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.

Answer:

A

s+s+s+s

equals to 4s

therefore a+a+a+a

equals to 4a

Answer:

59

Step-by-step explanation:

I answered got it wrong and found the answer

The height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

"It is the ratio of the sum of all given observations to the total number of observations. "

For given question,

We have been given the average heights of four samples taken from a population of students.

The mean(average) of the average height of the population would be,

[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]

Therefore, the height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

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1/2 h×b

1/2 (10×14)

1/2 (140)

70m²

hope it helps...!!!

Answer:

Question #1: 9 + 10 = 19

Question #2: 9 + 100 = 109

Step-by-step explanation:

9 + 10 = 19 because if you have 10 blocks and you recived 9 blocks what is the total blocks you have now? if you counted 10 blocks and 9 blocks that you recived you would have 19 or if you counted by 10 with 9 fingers you will get 19.

9 + 100 = 109 because if you have 100 dolls and you recived 9 dolls from friends what is the total dolls you have now? if you counted 100 dolls and 9 dolls that you recived from friends you would have 109 dolls or if you counted by 100 with 9 fingers you will get 109.

Answer:

10+9=10

100+9=109

:D

Step-by-step explanation:

The ordered pair that satisfies the given inequality is ( 4,-2)

Step-by-step explanation:

By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.

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Answer:

430,000

Step-by-step explanation:

HGD

Answer:

430,000

Step-by-step explanation:

Answer:

Options D, E, F

Step-by-step explanation:

Given the following system of linear inequalities in two variables:

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(8) < 2

 ⇒  16 < 2  (False statement).  

y > 7

 ⇒  2 > 7 (False statement).  

 ⇒  (8, 2) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(0) < 2

 ⇒  0 < 2  (True statement).  

y > 7

 ⇒  0 > 7 (False statement).  

 ⇒  (0, 0) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(5) < 5

 ⇒  10 < 2  (False statement).  

y > 7

 ⇒  5 > 7 (False statement).  

 ⇒  (5, 5) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(1) < 9

 ⇒  2 < 9  (True statement).  

y > 7

 ⇒  9 > 7 (True statement).  

 ⇒  (1, 9) is a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(17) < 50

 ⇒  34 < 50  (True statement).  

y > 7

 ⇒  50 > 7 (True statement).  

 ⇒  (17, 50) is also a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(-1) < 10

 ⇒ -2 < 10  (True statement).  

y > 7

 ⇒  10 > 7 (True statement).  

 ⇒  (-1, 10) is also a solution to the system.  

Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.  

Linear Inequalities in two variables

System of linear inequalities  

________________________________

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Answer:

Burger: 9.00

18%tip: 2.16

total with tip: 14.16

Salad: 8.00

Tatal: 11.00

Total with tip: 12.00

Water: 1.19

total: 9.19

18% tip: 2.02

Step-by-step explanation:

I am unsure of the salad pretty sure it's 8 dollars but I am unsure

I've attached my written workings :)

A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".

A frequency table is used to display the frequencies of different outcomes in a sample.

Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.

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Answer:

Below n bold.

Step-by-step explanation:

The angle in each part = 360/18 = 20 degrees.

For 5 parts the angle = 5*20 = 100 degrees.

Answer:

1/5

Step-by-step explanation:

You know that they will spin it five times and it's a prediction which means that you don't have actual data so just one.

Answer:

13 train cars.

Step-by-step explanation:

Let x = number of trains

[tex]x = \frac{600passengers}{48passengers/car} \\\\x = 12.5cars[/tex]

But we can't have 0.5 of a train...

x ≈ 13cars

Answer:

9/2

Step-by-step explanation:

Divide: 3/

5

: 2/

3

= 3/

5

· 3/

2

= 3 · 3/

5 · 2

= 9/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

3

is 3/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three fifths divided by two thirds = nine tenths.

54x+16÷2−33(5+5)

54x+16÷2-33×10

54x+8-33×10

54x+8-330

54x-322

54x=322

x=322/54

x=5.96

x=6(round fig)

hope it helps...!!!

[tex] \huge \mathbb \green{HEY \: THERE}[/tex]

[tex]54x + 16 \div 2 - 33(5 + 5) \\ \\ = 54x + 16 \div 2 - 33 \times 10 \\ \\ = 54x + 8 - 330 \\ \\ = 54x - 322 = 0 \\ \\ \implies 54x = 322 \\ \\ \implies \: x = \frac{322}{54} \\ \\ \implies x = 5.96[/tex]

[tex] \huge \mathbb \green{HOPE \: IT \: HELPS}[/tex]

The distance between the boat and the ocean's floor is 19m

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

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Answer:

74.483

Step-by-step explanation:

to get the mean, or the average. you add up all the numbers and divide them by how many there are.

53.9 + 73.75 + 95.8 = 223.45 ÷ 3 = 74.483

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

Answer:

343

Step-by-step explanation:

I hope this helps ! Have a good day! <3 :)

The position function for the given object is:

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

Here we know that:

a(t) = -40 m/s^2

v(0) = 18 m/s

s(0) = 0m

So, we know the acceleration, the initial velocity, and the initial position.

To get the velocity equation we need to integrate the acceleration equation, we will get:

v(t) = (-40 m/s^2)*t + C

Where C is the constant of integration, which we know that is the initial velocity, then:

v(t) =  (-40 m/s^2)*t + 18m/s

Now, to get the position equation, we need to integrate again:

s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

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Linear equations are often organized in slope-intercept form:

[tex]y=mx+b[/tex]

Parallel lines always have the same slopes and different y-intercepts.

We're given:

Firstly, rearrange the given line in slope-intercept form:

[tex]y=-3x+5[/tex]

Remember, parallel lines always have the same slope. Therefore, our parallel line would look like this, with a (currently) unknown y-intercept (b):

[tex]y=-3x+b[/tex]

We're given that the line passes through the point (0,2). Because the y-intercept occurs when x=0, we now know that the y-intercept of the line is 2. Plug this into the equation:

[tex]y=-3x+2[/tex]

[tex]y=-3x+2[/tex]

It yields a straight line almost

Slope:-

But it's not accurate and somehow wrong as it's exponential and our slope must be in log form

But thing we get that slope is positive so association is positive

Answer:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.

Step-by-step explanation:

In a scatter plot:

Correlation measures how closely two variables are linked.

The given scatter plot shows the y-variable increasing as the x-variable increases.  Therefore, this shows a positive correlation.

Therefore, the solution is:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.

Such sentences that convey strong emotion or excitement are called an exclamatory sentence.

The given sentence is an assertive sentence which shows sadness. Use exclamatory mark to change assertive into an exclamatory sentence.

Answer:

Add '-2b' to each side of the equation.

a + 2b + -2b = 12 + -2b

Combine like terms: 2b + -2b = 0

a + 0 = 12 + -2b

a = 12 + -2b

Simplifying

a = 12 + -2b

Answer: b= 6-a/2

Step-by-step explanation:

Always try to isolate what you are looking for.

a+ 2b=12 (subtract a)

2b= 12-a (divide by 2 to isolate b)

b= 12-a/2 (divide both numbers by 2 to get the smallest fraction)

b= 6-a/2 [b is now isolated :) ]

Answer:

Step-by-step explanation:

The number is 60:

Divide the amount and decimal of the percentage to be extracted

Case 1

[tex]\frac{21}{0.35} =60[/tex]

Case 2

[tex]\frac{54}{0.9} =60[/tex]

Now the 55% of this number is:

[tex]60(0.55)=33[/tex]

Hope this helps

Answer:

$310.04

Step-by-step explanation:

you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.

Answer:

40 square centimeters

Step-by-step explanation:

so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):

360/9=40

40 cm squared

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)