2. The diagram shows a circle inside a rectangle. Work out the shaded region,
Give your answer to 3 significant figures.
8 cm
17 cm
32 cm

Based on the calculations, the value of x for this regular polygon with the given interior angle is equal to 3.

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

Note: The number of sides (n) of a hexagon is 6.

In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Sum of interior angles = 180 × (6 - 2)

Sum of interior angles = 180 × 4

Sum of interior angles = 720°.

Next, we would determine the value of x by using this formula:

Interior angle × Number of sides = Sum of interior angles

Substituting the parameters into the formula, we have;

(-134x + 516 + 2x) × 6  = 720

-134x + 516 + 2x = 720/6

-134x + 516 + 2x = 120

516 - 120 = 134x - 2x

396 = 132x

x = 396/132

x = 3.

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Answer:

72 degrees

Step-by-step explanation:

A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order. Therefore, the answer is 72 degrees.

The standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

To calculate the required standard deviation to achieve a process capability index of 2.0, we need to use the following formula:

Process Capability Index (Cpk) = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

In this case, the upper specification limit is 1.788 feet, the lower specification limit is 1.752 feet, and the process capability index (Cpk) is 2.0.

Let's plug in the values into the formula and solve for the standard deviation:

2.0 = (1.788 - 1.752) / (6 * Standard Deviation)

Rearranging the equation:

Standard Deviation = (1.788 - 1.752) / (6 * 2.0)

Standard Deviation = 0.036 / 12

Standard Deviation = 0.003

Therefore, the standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

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Answer:

answer is second one Gp+gq-gr+hp+hq-hr

if u want explaining please comment and I will explin also please like and follow

Answer:

\((2x+5)(3x-2)\)

Step-by-step explanation:

Use slide-and-divide method

\(6x^2+11x-10\\\\x^2+11x-60\\\\(x+15)(x-4)\\\\(2x+5)(3x-2)\)

Given

The situation would best be represented by positive 6

Solution

Let us look at the first option

A. Taking an elevator down 6 floors in a building

Since it is coming down, this situation represents negative 6

B. Deleting 6 photos from a camera's memory card

Since we are removing, it also represent negative 6

C. A plant growing 6 inches

This is increasing and gaining height, so it represent positive 6

D. A group of 6 students getting off a bus

This also is a situation of negative 6, since the students are coming off the vehicle.

Therefore the right option is C

Option C

Answer:

a) £108
btw i use sparx maths too

Step-by-step explanation:

Answer:

1/1650

Step-by-step explanation:

The probability of picking a bad battery the first time is 3/100 because there are 3 batteries that do not work out of the 100 batteries

Since we picked a battery, that leaves 99 batteries with 2 batteries that do not work, assuming we picked one on the first pick;

So the probability of picking a bad battery the second time is 2/99

The total probability is (3/100)(2/99) = 6/9900 = 1/1650

The probability that both batteries chosen do not work is approximately 0.0306 or 3.06%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

If the first battery is not replaced after being tested, there will be 99 batteries left in the box, of which 2 do not work (since 3 of the original 100 batteries do not work).

The probability that the first battery chosen does not work = 3/100,

The probability that the first battery chosen does work = 97/100.

If the first battery chosen does not work, there will be 2 non-working batteries left in the box out of 98 remaining batteries.

The probability that the second battery chosen also does not work, given that the first battery chosen does not work.

= 2/98

= 1/49

If the first battery chosen does work, there will be 3 non-working batteries left in the box out of 98 remaining batteries.

The probability that the second battery chosen does not work, given that the first battery chosen does work.

=  3/98

The probability that both batteries chosen do not work.

= (3/100) x (2/98) + (97/100) x (3/98)

= (3/100) x (1/49) + (3/100) x (97/98)

= 0.0306

Thus,

The probability that both batteries chosen do not work is approximately 0.0306 or 3.06%.

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Since the stages are simply whole values taken one after the other, they should be whole numbers or integers.

What in mathematics is a whole number?

Complete numbers those figures that contain zero and natural integers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. a negative number, zero, or a counting number. Whole numbers are made up of all the ordinal numbers and 0.

                       Natural numbers are the term used to describe counting numbers in mathematics. Therefore, the whole number can be described as a combination of all natural numbers and 0. Along with zero, all positive integers are also considered whole numbers.

He is currently on step 5, there are 15 steps total, therefore he is actually 10 steps away from the top of the ladder. If we walk down the ladder with N being negative, he is -5 steps from the ground.

{ N | N ∈ ℤ , -5 ⩽ N ⩽ 10 }

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Answer: a

Step-by-step explanation: edge 2020

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The final value for the expression

\(m^{7}\) ÷ m² is \(m^{5}\)

n³ x n³ x n³ =  \(n^{9}\)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(m^{7}\) ÷ m²

= \(m^{7}\) / m²

= \(m^{7-2}\)

= \(m^{5}\)

n³ x n³ x n³

= \(n^{3+3+3}\)

= \(n^{9}\)

Thus,

The final value for the expression

\(m^{7}\) ÷ m² is \(m^{5}\)

n³ x n³ x n³ =  \(n^{9}\)

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Answer:

Step-by-step explanation:

e

Answer:

Angle KMN is 79°

Hope this helps.

Allie will have 2 oranges left over after dividing them evenly among the 11 baskets.

If Allie has 123 oranges and she wants to evenly divide them among 11 baskets, we can find the number of oranges left over by dividing the total number of oranges by the number of baskets and calculating the remainder.

To evenly distribute the oranges among the 11 baskets, we perform the division:

123 ÷ 11 = 11 with a remainder of 2

The quotient 11 represents the number of oranges that can be evenly distributed among the 11 baskets. The remainder 2 represents the number of oranges left over after the even distribution.

Therefore, Allie will have 2 oranges left over after dividing them evenly among the 11 baskets.

It's important to note that when dividing a certain number of objects among a specific number of groups, remainders may occur if the division is not exact. In this case, with 123 oranges and 11 baskets, 11 oranges can be evenly distributed, leaving 2 oranges as leftovers.

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Answer:

Friday: 18 tickets  Saturday:24 tickets  Sunday: 2 tickets

Step-by-step explanation:

120-102=18 tickets

120-96=24 tickets

120-118=2 tickets

TYSM I REALLY NEEDED IT TY!!

it helped me

It is the fourth one because n could be any number on that red line because it’s is greater than -3

Answer:

The 4th option on the picture

Step-by-step explanation:

First, we can find -3 on the number line. Next, the inequality doesn't say n is greater than or equal to -3 (When you have a line under the greater sign, it means greater than or equal to), it says that n is greater than -3, so you don't fill in the dot. We know that to be greater than something, you point the line to the right side of the point (And we plot less than a point is to go left of the point), so we have all of the data to plot the line. The point is at -3 and isn't filled in and goes right of -3. Therefore, the answer is the 4th one.

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Answer:

32 degrees and 10km Apart

Step-by-step explanation:

110-100=10

62-30=32

Answer:

option 4

Step-by-step explanation:

-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3  - 2.9x  (combine like terms)

                                   = -3.4x - 2.9x + 4.7 - 3

                                  = - 6.3x + 1.7

If two number have same sign, add and put the common sign for the answer.

If two numbers have different sign, subtract and the answer will have the sign of the bigger number

We can conclude that w is in Col(A) but w is not in Nul(A).

To determine if w is in Col(A) and if w is in Nul(A), we must use the matrix A = [ -4 8 ] and W = [ 2 ] and solve the problem.

Let's first determine whether w is in Col(A) or not. A matrix is said to have a column space if there are any linear combinations of the columns of the matrix.

We can create the matrix [ -4 8 ] as a linear combination of its columns as -2[2] + 1[1]

Thus, we can see that w is in Col(A).

Now, let's find out if w is in Nul(A) or not. A matrix is said to have a null space if there are any non-zero vectors that will produce the zero vector when multiplied by the matrix.

In order to find if w is in the null space or not, we can multiply the matrix A with the given vector w.

The multiplication of matrix A with w is as follows;

[ -4 8 ][ 2 ] = [ -8 16 ]

Now we can see that the resulting matrix is not the zero matrix.

Hence, w is not in Nul(A).

Thus, we can conclude that w is in Col(A) but w is not in Nul(A).

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Answer:

The decimal is 4.980

Step-by-step explanation:

BRAINLIEST PLS

Answer:

0.50%

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 1.

Answer:

1 I think, sorry if I'm wrong

Answer:

No, 64 doesn't fit

Step-by-step explanation:

64 is an outlier

since it lies too far from the other numbers

Answer:

15

Step-by-step explanation:

140x(3/4)=105 went to sport club

105x(1/7)=15 went to sport club and art club

Answer:

d = 4

Step-by-step explanation:

4d - 5 = 11

a) Subtract 5 from both sides.

-5 + 5 = 11 + 5

4d = 16

b) Divide both sides by 4.

4d/4 = 16/4

16/4 = 4

Therefore, you're answer will be 4.

Answer:

Step-by-step explanation:

A rational number is a nonrepeating fraction. To convert, we need to put 71,625 over 1000.

We divide 1000 by 125.

This simplifies to 573/8.

Then we get the whole number part of the mixed number.

The value of x is given as 9.8

We have to solve for X using the Pythagorean theorem

The Pythagorean theorem is a mathematical formula that relates to the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In other words:

c² = a² + b²

Where:

c is the length of the hypotenuse

a and b are the lengths of the other two sides

14² = x² + 10²

196 = x² + 100

196 - 100 = x²

x = √96

x = 9.8

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Answer:  

c

Step-by-step explanation:  

Answer:

1/4

Step-by-step explanation:

To construct a confidence interval for the proportion of adults who believe that economic conditions are getting better, the pollster needs to consider the sample size and margin of error.

In part (a), the pollster has an estimate of the proportion (0.25) and wants a margin of error of 0.02 with a 95% confidence interval. To determine the sample size needed, the pollster can use the formula:

sample size = (Z^2 * p * q) / E^2

where Z is the z-score for the confidence level (1.96 for 95%), p is the estimated proportion (0.25), q is 1-p, and E is the margin of error (0.02).

Plugging in these values, we get:

sample size = (1.96^2 * 0.25 * 0.75) / 0.02^2
sample size = 861.3

Therefore, a sample size of 862 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, based on the estimate of 0.25.

In part (b), if no estimate of p is available, the pollster can use a conservative estimate of p = 0.5 to calculate the sample size needed. This is because a sample size calculated using p = 0.5 will be the largest sample size needed for any value of p.

Using the same formula as before, we get:

sample size = (1.96^2 * 0.5 * 0.5) / 0.02^2
sample size = 2401

Therefore, a sample size of 2401 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, without an estimate of p.

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