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Simplify the expressed

Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:

f = 17/40 = 0.425

Which is rounded to 0.43.

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Answer:

$2,000 at 9%

$8,000 at 4%

Step-by-step explanation:

(4x * .04) + (x * .09) = 500

.16x + .09x

.25x = 500

x = $2,000 at 9%

4x = $8,000 at 4%

Answer:

2000 at 9%

8000 at 4%

Step-by-step explanation:

Let the principle at 9% = x

The principle at 4% = 4*x

Together they give 500 dollars.

9% = .09

4% = ,04

Both are invested for 1 year

0.09 * 1 * x + 0.04 * 1 * 4x = 500

0.09x + 0.16x = 500

0.25x = 500

x = 500 / 0.25

x = 2000

She invested 2000 at 9%

She invested 4 * 2000 at 4%

Answer:

33.3% I think lpl

Step-by-step explanation:

Answer:

by increasing the size ez

Answer:

x ≥ 4

Step-by-step explanation:

16x + 8 ≥ 12x + 20

Subtract 12 from both sides

4x + 8 ≥ 20

Subtract 8 from both sides

4x ≥ 16

Divide both sides by 4

x ≥ 4

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

The volume of the triangular prism is 5676.16 cm³

Step-by-step explanation:

The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.

Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'

V = Ah' where h = height of prism = 18.1 cm

So, V = bhh'/2

Substituting the values of the variables into the equation for V, we have

V = bhh'/2

V = 28 cm × 22.4 cm × 18.1 cm/2

V = 14 cm × 22.4 cm × 18.1 cm

V = 5676.16 cm³

So, the volume of the triangular prism is 5676.16 cm³

Answer:

5676.16 cm³

Step-by-step explanation:

Answer:

your answer is option B

Answer:

Your answer came out to be B.

Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Answer:

Step-by-step explanation:

(1,2) and (2,1) are not equal ordered pairs becasue their corresponding elements are not equal.

Two Ordered Pairs are said to be equal if the corresponding first components are equal alongside the corresponding second components are equal.

for example:

(3,1) and (3,1)

here corresponding element of 3 is 3 and of 1 is 1 .so they are called equal ordered pairs.

Answer the question : I don't get what the question is suppose to be

Step-by-step explanation:

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

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Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer:

$78.94

Step-by-step explanation:

15% = 0.15

multiply to the total (68.65)

0.15 × 68.65 = 10.2975

$68.65 + 10.2975 = $78.94

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im pretty sure that the answer is 6 2/3

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

The undefined term is point.

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

[tex]vertex[/tex]of the angle

[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.

Measure of an angle

An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.

As, the is defined on the basis of arms , vertices, measurement.

They all related to point and point doesn't have a particular definition.

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Answer:

You can do it with your eyes closed

Step-by-step explanation:

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

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Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16