Question 5
Calculate the perimeter of the sector
4cm
285

Answer:

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Step-by-step explanation:

Given the data:

3 5 6 7 7 8 8 8 9 9 9 10 102

Ordered data: 3, 5, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 102

The interquartile range (IQR) for the data:

IQR = Q3 - Q1

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 26.3

Correcting error in the data:

3 5 6 7 7 8 8 8 9 9 9 10 10.2

Q3 = 3/4(n + 1) th term.

n = sample size = 13

Q3 = 3/4(14) = 10.5th term

Q3 = (10 + 11)th term / 2 = (9+9)/2 = 9

Q1 = 1/4(14) = 3.5th term

Q3 = (3 + 4)th term / 2 = (6+7)/2 = 6.5

IQR = Q3 - Q1 = 9 - 6.5 = 2.5

THE STANDARD DEVIATION :

Sqrt[Σ(X - m)²/n-1]

Using calculator :

Standard deviation = 2.04

After correcting the error, IQR remains unchanged while standard deviation reduced drastically from 26.3 to 2.04

Answer:

[tex]k = 2.5[/tex]

Step-by-step explanation:

Given

[tex]A = (4,2)[/tex]

[tex]A' = (10,5)[/tex]

[tex]B = (10,6)[/tex]

[tex]B' = (25,15)[/tex]

Required

Determine the scale factor (k)

Scale factor is calculated using:

[tex]Old * k = New[/tex]

In this case, we have:

[tex]AB* k = A'B'[/tex]

Make k the subject

[tex]k = \frac{A'B'}{AB}[/tex]

Using point A and A'

[tex]k = \frac{A'}{A}[/tex]

[tex]k = \frac{(10,5)}{(4,2)}[/tex]

Factorize the numerator

[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*1[/tex]

[tex]k = 2.5[/tex]

Step-by-step explanation:

3x+2x+10=180

5x+10=180

5x=170

x=34

so the value of x is 34

The value of x is 34.

Here,

Angle 1 and angle 2 are supplementary.

And, angle 1 measures 3x and angle 2 measures 2x + 10.

We have to find the value of x.

What is Supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Now,

Angle 1 and angle 2 are supplementary.

⇒ ∠1 + ∠2 = 180°

And, angle 1 measures 3x and angle 2 measures 2x + 10.

⇒ 3x + 2x + 10 = 180

⇒ 5x + 10 = 180

⇒ 5x = 170

⇒ x = 34

Hence, The value of x is 34.

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Answer:

12x+4

Step-by-step explanation:

when simplified you would get 12x + 4

Answer:

-[tex]\frac{12}{7}[/tex]

Step-by-step explanation:

y2-y1 ÷ x2-x1

-9-3 ÷ 7-0

-12 ÷ 7

(Can not be simplified any further)

Answer:

-12/7

Step-by-step explanation

[tex]\frac{Rise}{Run}[/tex]

Slope equals the change in y over the change in x.

Equation:

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Plug in values.

[tex]\frac{-9-3}{7-0}[/tex]

Answer is:

[tex]-\frac{12}{7}[/tex]

Answer:about 2 1/4 weeks

Step-by-step explanation:

Answer:

2 with a remainder of 200

I just divided it.

Answer:

dhdbdudbdudbdne d ieh eue

Answer: the equation represents an addictive relationship

Step-by-step explanation:

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

Step-by-step explanation:

43=0.34x+19.5

=> 0.34x+19.5 = 43

=> 0.34x = 43 - 19.5

= 23.5

[tex] = > x = \frac{23.5}{0.34} [/tex]

=> x = 69.117 (Ans)

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Answer:

2.73

Step-by-step explanation:

Have a great day! I just put it down to cost per pound and and then multiplied by 3 1/2 and got the answer. :)

Answer:

$4.48

Step-by-step explanation:

6/4.68 = 1.28205128205 = 1.28

3 1/2 x 1.28 =

3.5 x 1.28 = 4.48 =

$4.48

Answer:

0.84 = 84% probability that the calculator has a good case and good batteries.

Step-by-step explanation:

We have these following percentages:

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

Using Venn Diagrams:

Event A: Defective Case

Event B: Defecitve Battery

So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]

Probability of at least one problem:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]

Find the probability that the calculator has a good case and good batteries.

No problems, so

[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]

0.84 = 84% probability that the calculator has a good case and good batteries.

The probability that the calculator has a good case and good batteries is 0.84 or 84%

Since

8% of a certain batch of calculators have a defective case.

11 % have defective batteries.

3% have both a defective case and defective batteries.

So, the probability is

=  1- (0.08 + 0.11 - 0.03)

= 1 - 0.16

= 0.84

Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%

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Answer:

X = 5

Step-by-step explanation:

Answer:

w = 2.7

Step-by-step explanation:

To solve for what number divided by 3 is equal to 0.9 you can do 0.9*3 and get the answer 2.7. w = 2.7.

Answer:

0.74

Step-by-step explanation:

Given :

__________________ STRENGTH __

__________________High _ Low

High conductivity _____ 74 __ 8

Low conductivity _____ 15 ___ 3

Probability that conductivity is high and strength is high :

This the probability of High conductivity n High strength = P(High conductivity n High strength)

Probability = required outcome / Total possible outcomes

Required outcome = P(High conductivity n High strength) = 74 (from table)

Total possible outcomes = total sample size = 100

Hence,

P(High conductivity n High strength) = 74 / 100 = 0.74

Answer:

[tex]\frac{3}{2}[/tex] [tex]or[/tex] [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

We are given a graph and asked to find the slope.

So we can see two coordinate points, one on (0, 3) and (2, 0).

When trying to find slope, we use the method rise over run, which basically means y over x as a fraction, in which you then divide.

So count how many times it'll take for x to get to y, base it off the picture below

Since we see our numbers to be divided are 3 over 2, do the division and you get 1 1/2.

Would this be negative though? No, since the graph is in an increase, not a decrease.

Answer:

I'd say its 1.02% but don't quote me on that

Step-by-step explanation:

The percent error in the given situation is 2%. Therefore, option C is the correct answer.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Oliver tries to cut a piece of metal 30 centimeters long the metal ends up being 29.4 centimeters long.

Difference in number =30-29.4

= 0.6

Now, percent error = 0.6/29.4 ×100

= 2.04%

≈ 2%

The percent error in the given situation is 2%. Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

Answer:

https://brainly.com/invite/7572c22d605dca5f994821814911b9d2?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.

9514 1404 393

Answer:

  24

Step-by-step explanation:

Using 9 as the figure number, Dion's equation tells us there are ...

  2(9) +6 = 18 +6 = 24 blocks in figure 9

Answer:

Step-by-step explanation:

5[tex]\pi[/tex]=15.70...

To round a number to the nearest tenth , look at the next place value to the right (the hundredths)which is 0 in this question.

Thus, it will become 15.7

The circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The diameter of the nickel (circle) is 5 millimeters

D = 5 millimeters

The circumference of the circle = πD

Plug D = 5 millimeters in the above formula:

The circumference of the circle = 5π mm

As we know,

π = 3.141 ≈ 3.14 (Rounded to the nearest the Hundredths Place)

The circumference of the circle = 5π = 15.70796 mm

The circumference of the circle = 15.70796 = 15.7 mm

(Rounded to the nearest Tenths Place)

Thus, the circumference of the circle is 5π mm or 15.7 mm if the diameter of the nickel (circle) is 5 millimeters.

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Answer:

1/31 or [tex]\frac{1}{31}[/tex]

To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Step-by-step explanation:

1000 devided by 75% gives 250

Answer:

-3(43)= -129

−3(3) = −9

−3(2) = −6

−3(1) = −3

−3(0) = 0

−3(−1) = 3

−3(−2) = 6

 -3(-3)= 9

Step-by-step explanation:

As the factor decreases by 1, the product increases by 3. So −3(−1) = 3, −3(−2) = 6.

Multiplying −3 by a negative integer gives a positive number. 

The product of a positive number and a negative number is negative.

Answer:

22.57

Step-by-step explanation:

17.50 + (17.50 x 0.2) + (17.50 x 0.09) = 22.575

Answer:

the answer is E . infinitely many

explaination:

The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.

Answer:

E. Infinitely many

Answer:

5.9%

Step-by-step explanation: