70°
160
What is the size in degrees of the missing angle

The sample standard deviation weight of the 50 candies is, 0.07 grams.

The amount of variation or dispersion in a set of data values is measured by standard deviation. A statistical calculation is used to determine how far the values vary from the mean (average) value. While a high standard deviation suggests that the data values are more dispersed, a low standard deviation suggests that the data values tend to be close to the mean.

To find the sample standard deviation weight,

we can use the formula:

[tex]s = \sqrt{((1/(n-1))} \sum((x - \bar x)^{2} ))[/tex]

where n is the sample size, x is the weight of each candy, [tex]\bar x[/tex] is the sample mean weight, and sum() means to add up the values.

We can first find the sample mean weight:

[tex]\bar x[/tex]= (0.98 + 0.85 + 0.92 + 0.98 + 0.71 + 0.88 + 0.86 + 0.75 + 0.85 + 0.85 + 0.86 + 0.78 + 0.75 + 0.75 + 0.74 + 0.82 + 0.85 + 0.91 + 0.78 + 0.72 + 0.81 + 0.81 + 0.81 + 0.84 + 0.87 + 0.85 + 0.89 + 0.77 + 0.85 + 0.97 + 0.74 + 0.89 + 0.82 + 0.86 + 0.82 + 0.84 + 0.91 + 0.87 + 0.94 + 0.85 + 0.71 + 0.83 + 0.87 + 0.94 + 0.81 + 0.81 + 0.78 + 0.77 + 0.85) / 50

[tex]\bar x[/tex] = 0.8456

Next, we can calculate the sample standard deviation:

s = √((1/(50-1)) x ((0.98-0.8456)² + (0.85-0.8456)² + ... + (0.77-0.8456)² + (0.85-0.8456)²))

s = sqrt(0.0045916)

s = 0.0678

Rounding to two decimal places, the sample standard deviation weight is 0.07 grams.

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Answer:

16 inches

Step-by-step explanation:

28 - 12 = 16 inches

1 foot = 12 inches

Answer:

That's not math. Please classify your question correctly.

Answer:

Step-by-step explanation:

B

Answer:

no

Step-by-step explanation:

squares sides are  all equal

rectangle only have 2 side alike

Answer:

Step-by-step explanation:

To find the percent of the people who attended the Baybridge Middle School Winter Formal who are not students at Baybridge, we can use the following steps:

Find the fraction of non-student attendees: 18 attendees out of 90 total attendees can be represented as 18/90.

Convert the fraction to a decimal: 18/90 = 0.20, which can be rounded to 0.2.

Convert the decimal to a percentage: 0.2 * 100 = 20%.

So, 20% of the people who attended the Baybridge Middle School Winter Formal are not students at Baybridge.

Answer:

6x - 5y

Step-by-step explanation:

( remove the unnecessary parentheses)

= 5x + 5y + x - 10y

= 6x + 5y - 10y

= 6x + 5y

Answer:

r = 5

Step-by-step explanation:

25 - 3r = 10 ( subtract 25 from both sides )

- 3r = - 15 ( divide both sides by - 3 )

r = 5

the solution from the replacement set is 5

Answer:

4 would be the rate of change

Step-by-step explanation:

y=mx+b mx = slope

The slope represents the rate of change. Then the rate of change will be 4.

The coefficients in the expression "9x - 2 + 16x + 8 - x + 10" are the numerical values that multiply the variables. In this expression, the coefficients are 9, -2, 16, 8, -1, and 10.

So, the expression can be written as:

9x + 16x - x + 10 = 24x + 10

where 9, -2, 16, 8, -1, and 10 are the coefficients of the expression.

Answer:

The coefficients in this expression would be 10, -2, 8, -1, 10, 9, 16

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

In 30 minutes the two friends 2 miles apart.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, Wendy headed due north at 3 miles per hour, and Roger hiked due south at 6 miles per hour.

We know that, Time= Distance/Speed

Now, T₁= 2/3

T₂= 2/6 =1/3

T=T₁-T₂

T=2/3+1/3

T=1/3

T=0.33 hours

= 30 minutes

Therefore, in 30 minutes the two friends 2 miles apart.

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The number of adult and children in the group is given as follows:

The amounts are obtained by a system of equations, for which the variables are given as follows:

There were a total of 28 people, hence:

x + y = 28

y = 28 - x.

They spent a total of $308, hence:

15x + 8y = 308.

Replacing the second equation into the first, the value of x is given as follows:

15x + 8(28 - x) = 308

7x = 84

x = 84/7

x = 12.

Then the value of y is given as follows:

y = 28 - x = 28 - 12 = 16.

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The lowest common denominator of the fraction is 6

The lowest common denominator (LCD) is the smallest common multiple of the denominators of a set of fractions. It is used to add or subtract fractions with different denominators.

The LCD of a set of fractions is the smallest number that is divisible by all the denominators in the set. When all the denominators are divided into the LCD, each fraction has an equivalent fraction with the same value and a denominator equal to the LCD.

In the fraction given;

x / 3 + x / 2 = 20

The lowest common denominator is 6

Using 6, we can divide through each of the fraction.

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Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

A figure that totally resides in one plane is referred to as a plane figure or a two-dimensional figure. Two-dimensional figures are drawn when you sketch, whether by hand or with a computer programme. Two-dimensional models of actual objects can be found in blueprints.

Closed, two-dimensional shapes known as polygons are created by three or more-line segments that only meet at their ends.

Circles, triangles, squares, rectangles, pentagons, quadrilaterals, hexagons, octagons, and other basic 2D shapes include these. All shapes—aside from the circle—are categorized as polygons because they have sides. Regular polygons are those with equal sides and angles on all of their faces.

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Answer: 6.38

.................

The average rate of change over each specified interval is 8/3 and -10.

The average rate shows the change in the function per unit, over an interval.

Given that, find the average rate of change over each specified interval.

The average rate of change is given by

f(b)-f(a) / b-a

a) [2, 5] :-

To find the average rate of change we will take the change in the function over the change in x,

f(5)-f(2) / 5-2 = 24-16 / 3 = 8/3

Therefore, the average rate of change in interval [2, 5] is 8/3

b) [3.8, 4] :-

Similarly,

f(4)-f(3.8) / 4-3.8 = 17-19 / 0.2 = -2/0.2

= -10

Therefore, the average rate of change in interval [3.8, 4] is -10

Hence, the average rate of change over each specified interval is 8/3 and -10.

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Answer:

C

Step-by-step explanation:

consider the coordinates of the same points on both figures

top left vertex of figure P (- 8, 8 )

top left vertex of figure Q (- 4, 4 )

note that both coordinates from Q are half the coordinates of P

then to obtain Q from P multiply each coordinate by [tex]\frac{1}{2}[/tex] , that is

(x, y ) → ([tex]\frac{1}{2}[/tex] x , [tex]\frac{1}{2}[/tex] y )

Answer:2304.9

Step-by-step explanation:

Answer:

  2304.9 ft

Step-by-step explanation:

You want the distance from point A, which is 1246 ft horizontally from a lighthouse to point B, given the angles of elevation to the light are 14° and 5° from points A and B, respectively.

The tangent relation for sides in a right triangle is ...

  Tan = Opposite/Adjacent

In a model of this geometry, the height (h) of the lighthouse is the side opposite the angle of elevation. This lets us write two equations:

  tan(14°) = h/1246

  tan(5°) = h/(1246 +d) . . . . . where d is the distance from A to B

Solving these equations for d, we have ...

  h = 1246·tan(14°) = (1246+d)·tan(5°)

  d·tan(5°) = 1246·(tan(14°) -tan(5°))

  d = 1246·(tan(14°)/tan(5°) -1) ≈ 2304.9 . . . . feet

The distance from point A to point B is about 2304.9 feet.

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The equation will be;

c = 20 + 4x

Linear equations are equations of the first order. When a linear equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can also have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line.

A linear equation that will find the cost c to have a name containing x letters will be;

c = $20 + 4x

where c = cost

$20 = basic fee

x = number of letters

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Answer: 20% of 160 is 32.

Step-by-step explanation:

The percentage is from the word percent which means one part in a hundred. It is a part of the base or the whole determined by the rate. Usually, the percentage is smaller than the base. However, there are also cases where the percentage is greater than the base. This happens when the percent is greater than 100%.

To find the percentage, you have to multiply the base and the rate. The base is the 100% or original amount or the whole while the rate is the ratio of the percentage to the base and it has the percent sign (%). Remember that you have to convert the rate to a decimal number by moving the decimal point twice to the left.

Let us now find the 20% of 160.

20% = 0.2

percentage = 160 × 0.2

= 32

Answer: the probability of selecting the first urn and then drawing two white balls from the first urn is 0.027.

Step-by-step explanation:

Let's call the event of selecting the first urn "A" and the event of drawing two white balls from the selected urn "B". The probability we want to find is P(A and B), which can be found using the formula for the intersection of two events:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the probability of drawing two white balls from the first urn given that the first urn was selected.

First, let's find P(A):

P(A) = 0.3

Next, let's find P(B|A):

P(B|A) = (3/10) * (3/10) = 9/100

Finally, let's find P(A and B):

P(A and B) = P(A) * P(B|A) = 0.3 * 9/100 = 0.027

So the probability of selecting the first urn and then drawing two white balls from the first urn is 0.027.

Answer:

m∠2=12°

Step-by-step explanation:

some of two angles is 90

90 -78=12

The volume of the rectangular prism is 140 cubic meters

The volume of a figure is a measure of the amount of space it occupies in three-dimensional space. It is a scalar quantity, meaning that it is a single numerical value with no direction.

The volume of a rectangular prism is given by the formula V = l * w * h, where l is the length, w is the width, and h is the height.

This problem is a two rectangular prism joined together.

The volume can be calculated as;

V = l * w * h

v = (4 * 7 * 3) + (2 * 7 * 4)

v = 140m³

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1. The plane travelled a distance of 471.239 ft

2. The plane would travel further by 6283.185 ft

What is circumference?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

If you move along a full circle of a radius 'r', the distance covered by you is equal to [tex]2\pi r[/tex]

Part 1:

Given that, Jack's aeroplane travels in a circle of a cord of length 15ft for 5 times

The total distance travelled by plane is [tex]15*2\pi *15[/tex]

[tex]=150\pi[/tex]

= 471.239 ft

Part 2:

Given that, Jack flew his aeroplane 100 times with a cord of 50 ft.

The total distance covered by the plane is 100 * (2*50*[tex]\pi[/tex])

If he increases the length by 10 ft, The cord will now be 60 ft.

The total distance it would cover then is 100 * (2*60*[tex]\pi[/tex])

Now,

100 * (2*60*[tex]\pi[/tex]) - 100 * (2*50*[tex]\pi[/tex])

= 100 * (2*(60-50))*[tex]\pi[/tex])

= 100 * 2 * 10 * [tex]\pi[/tex]

= 2000 * [tex]\pi[/tex]

= 6283.185 ft

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Answer:

W =1 1/4Step-by-step explanation: Let W = what. W - 1/2 = 3/4. Add 1/2 to each side. W -1/2 +1/2 = 3/4+1/2. W = 3/4+1/2.

Step-by-step explanation:

Its 10/29 so its answers this

The correct answer for given dilation will be A and D i.e. Point P is midpoint of AA' and XY⊥AA'.

What precisely is dilation?

Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit. This method is used in photography, arts and crafts, and logo design, among other things. In geometry, there are four basic types of transformations. These are their names:

Properties of Rotation, Translation, Reflection, and Resizing

Dilation properties

The following are some features of shapes that remain constant with dilation changes:

Now,

As The image of A is made on line XY and the image will be A'

then XY⊥AA' because line formed between images is always perpendicular to the plane it is formed on and

P is the midpoint of AA' because we know that AP and A'P are same in a image formation.

Hence,

           Point P is midpoint of AA' and XY⊥AA'.

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The value of a, b, and c are 1, -2, and 6 respectively.

The y-intercept of this quadratic function is 6.

The axis of symmetry of this quadratic function is 1.

The vertex of this quadratic function is (1, 5).

Mathematically, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² - 2x + 6, we have:

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2 = 1.

Vertex (h, k) = (1, 5).

In Mathematics, the y-intercept of any graph such as a quadratic function, generally occur at the point where the value of "x" is equal to zero (x = 0).

y-intercept = 6.

Lastly, we would create a table and then graph the quadratic function as follows;

x         y

0         6

2         2

5         11

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