Find the length of YB

Based on the data provided, the probability that one student studied for exactly one hour is 0.22.

When it comes to calculating the probability, we need to identify the frequency of a specific outcome (the probability a student studied for one hour) and compare it to the total outcome (total of students) as follows:

Total of students who studied for one hour: 8

Total of students: 1+8+2+5+9+7+3 = 35

Total of students who studied for one hour / total students

8/35 = 0.228 which can be rounded as 0.23 or 23% if expressed as a percentage.

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x>-9 is the solution of the inequality 5x + 30 > - 15

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5x+30>-15

Five times of x plus thirty greater than minus fifteen.

Subtract 30 on both sides

5x>-45

Divide both sides by 5

x>-9

Hence, x>-9 is the solution of the inequality 5x + 30 > - 15

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The probability of having a blue in the spin is given as; 17/200.

Probability can be calculated as the ratio of the number of favorable outcomes to the number of possible outcomes in a given scenario. It is usually expressed as a decimal or a fraction between 0 and 1.

We know that in this case we are going to look at the table to see the number of times that we land a blue.

If the total number of the outcomes is 200 and the number of the expected outcomes is 17. We would have the probability as P(blue) = 17/200.

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The probability that the three friends are seated next to each other is 1/420

The total number of ways to seat the 7 people is 7! To find the number of ways to seat the three friends next to each other, we need to consider the number of ways to seat the other 4 people around them. So the number of favorable outcomes is 4!

The probability that the three friends are next to each other is then given by the ratio of the number of favorable outcomes to the total number of outcomes: (4!)/(7!) = 4!/5040 = 1/420.

So the probability that the three friends are seated next to each other is 1/420.

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The high temperature is a linear function of the number of days after the new year.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

Three points on the graph are given as follows:

(1, -3), (3,1) and (10,15).

The slopes, calculated as the change in y divided by the change in x, for each of the intervals is given as follows:

Due to the constant slopes, the relationship is in fact a linear function.

The problem asks if the high temperature in this city a linear function of the number of days after the new year.

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The probability that the average height of Canadians is less than 157 cm is 0.337.

The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score. A value that is one standard deviation from the mean would have a Z-score of 1.0. Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean.

Given that the standard deviation = 7cm and the mean = 160cm.

The z -score is given as:

z = x - mean / SD

z = 157 - 160/ 7

z = -3/7

z = - 0. 428

z = 0.337

P (X < 157) = P (z < -0.428)

P(X < 157) = 0.337

Hence, the probability that the average height of Canadians is less than 157 cm is 0.337.

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The slope of the perpendicular line is the inverse reciprocal of the line on which the line is perpendicular.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, m = y/x can be used to express the change in the y coordinate with regard to the change in the x coordinate.

The slope of two parallel lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other. The relationship between the slope of perpendicular lines can be represented by the formula m1 if the slopes of the two perpendicular lines are m1, m2.

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The value of x rounded to the nearest tenth is 10.2 units, this is found using trigonometric functions.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

The triangle is a right-angles triangle and the given angle is 22 degrees.

Taking the cosine function, we have:

cos A = adjacent side/ hypotenuse

cos (22) = x / 11

0.927 = x/11

x = 10.2

Hence, the value of x rounded to the nearest tenth is 10.2 units, this is found using trigonometric functions.

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a) When x = 4, the function y = 4 has the greater numeric value.

b) The two equations have the same value for x = 6.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

From graph, when x = 0, y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by two, y increases by one, hence the slope m is given as follows:

m = 1/2

m = 0.5.

Meaning that the function is given as follows:

y = 0.5x + 1.

When x = 4, the value is given as follows:

y = 0.5(4) + 1

y = 3 < 4.

The two functions will have the same value when:

0.5x + 1 = 4

0.5x = 3

x = 3/0.5

x = 6.

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Answer:

-10v([tex]v^{2}[/tex] - 5v - 4)

Step-by-step explanation:

First, we have to find the GCF

The GCF is: -10v

We factor the GCF outside, and what is left we put in the ( )

-10v([tex]v^{2}[/tex] - 5v - 4)

Answer:

-10

Step-by-step explanation:

-8 + n/2 = -13

n/2 = -13 + 8

n/2 = -5

n = -5 * 2

n = -10

Hope it helps!

Answer: i believe its -6, 3

(if im wrong pls inform me :3

Answer:

56.27⁰

Step-by-step explanation:

a/sinA =b/sinB

35/sin 50⁰ = 38/sin B

cross multiply

35sinB = 38sin50⁰

sin B=29.1096/35

sinB=0.8317 find the inverse sine

angle BCA= 56.27⁰

The probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354

Denote S= Event that a purchase bought a basic camera, then P(S)=0.32

Denote D= Event that a purchase bought a deluxe camera, then

S and D are mutually exclusive.

P(D)=1-P(S)=0.68

P(W/S)=0.4

P(W/D)=4.9

We need to calculate the probability that a randomly selected purchaser who bought an extended warranty has a basic model. By notations, this is equivalent to finding P(S/W).

P(S/W)=P(W/S)*P(S)/P(W)

Since S and D are disjoint and P(S)+P(D)=1,

P(W)=P(W∩S)+P(W∩D)

P(W)=[0.4*0.32]+[4.9*0.68]

=3.61

Hence, our required probability is: P(S/W)=P(W/S)*P(S)/P(W)

[tex]=\frac{0.4*0.32}{3.61}\\=0.0354[/tex]

Hence, the probability that a randomly selected purchaser with an extended warranty has a basic model camera is approximately 0.0354

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The formula a(7) * 1.01 represents an exponential growth model, where a(7) is the area covered by mold at week 7, and 1.01 represents a growth rate of 1% per week.

The exponential growth model is represented by the formula a(7) * 1.01, where a(7) is the area covered by mould at week 7, and 1.01 indicates a weekly growth rate of 1%.

By multiplying the area at week 7 by 1.01, we can approximate the area covered by mold at week 8.

However, it's important to note that this model assumes that the growth rate remains constant and does not account for any limiting factors such as availability of food or changes in environmental conditions.

Additionally, this model may not accurately represent the actual growth of mold, as mold growth can be complex and affected by many variables.

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The experimental probability of picking a spade is 0.15 (first option)

Probability is used to determine how likely it is that a random event would happen. The odds that the event would happen has a probability value that lies between 0 and 1.

Experimental probability is based on the result of an experiment that has been carried out multiples times.

Experimental probability of picking a spade = number of times a spade was drawn / number of times the experiment was repeated

3/20 = 0.15

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Answer:A quadrilateral is a polygon having four sides, four angles, and four vertices. The word 'quadrilateral' is derived from the Latin words 'quadri,' which means four, and 'latus', which means side. The above image is an example of a quadrilateral. AB, BC, CD, and DA are the four sides of the quadrilateral ABCD.

hope this helps alot<3

The number of grapes for 14 strawberries is 10

From the question, we have the following parameters that can be used in our computation:

She adds 5 grapes for every 2 strawberries.

So, we have the ratio to be

Grapes : Strawberries = 5 : 2

Multiply the ratio by 7

So, we have the following representation

Grapes : Strawberries = 10 : 14

This means that 10 grapes are required for 14 strawberries

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Answer:

Y- intercept= (0, -1)

Slope = 2/3

Step-by-step explanation:

Finding the Y-Intercept is pretty much finding the Y value when X is 0

Looking at this table, when x = 0, y is -1. Which means your y intercept is (0, -1)

To find slope, you take two points (x,y) and apply it to the slope formula. We'll do the bottom 4 since those are all nice looking numbers

[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]

plugging it in...

[tex]slope = \frac{3 - 1}{6 - 3} [/tex]

3-1 = 2 and 6-3 = 3

Keep that in fraction form

[tex]slope = \frac{2}{3} [/tex]

The slant height of the right cone is 24.2 units, rounded to the nearest tenth.

A right triangle's hypotenuse, or side opposite the right angle, has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem can be used to determine the slant height of a right cone. The circular base's radius is equal to its diameter times half, or 6/2 = 3 units.

The volume of the cone can be found using the formula:

V = (π/3)r²h

Where r is the radius, and h is the height of the cone. Plugging in the given values, we have:

72π = (π/3)r²h

72π = (π/3)3²h

72π = (π/3)9h

72π = 3πh

24 = h

Using the Pythagorean Theorem, we can find the slant height as follows:

c² = a² + b²

Where a and b are the height and radius of the cone, and c is the slant height. Plugging in the values we have:

c² = 24² + 3²

c² = 576 + 9

c² = 585

c = 24.2

Hence, the slant height of the right cone is 24.2 units, rounded to the nearest tenth.

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a) If two points on a line are A(-5,7) and B(-2,1), the rise -6, the run is of 3, and then the slope is of -2.

b) If two points on a line are A(10,-3) and B(12,9), the rise 12, the run is of 2, and then the slope is of 6.

c) If two points on a line are A(4,6) and B(8,-8), the rise -14, the run is of 4, and then the slope is of -3.5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

As the slope represents the rate of change of the output relative to the input, it is calculated as the change in the output y divided by the change in the input x, that is, the rise divided by the run.

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Answer:

3x - 6

Step-by-step explanation:

Let's call the number of coins Karen has "x".

According to the information given, Bill has 6 coins fewer than two times the number of coins Karen has, so we can write the following expression for the number of coins Bill has:

Bill: 2x - 6

To find the total number of coins Karen and Bill have, we simply add the number of coins each person has:

Karen + Bill: x + (2x - 6) = 3x - 6

So the total number of coins Karen and Bill have is 3x - 6.

Answer:  the total amount of coins Bill and Karen have can be found with the following equation: 3x-6

Step-by-step explanation:

Karen has x coins

Bill's coins are twice the x, so 2x, and he has 6 fewer than that.

The equation becomes x+2x-6 which can be simplified to 3x-6.

Check the picture below.

The troop leader can use the two categories of preference (hiking or swimming) as the row and column headings of the table.

A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.

The troop leader can utilize the two preference categories (hiking or swimming) as the table's row and column headings.

The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.

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Answer:

x= 67

y=40

z=40

Step-by-step explanation:

 A=C        B=D

67=X    Y&?= Z&73

73+ x aka(67) = 140

180-140= y = 40

The lateral surface area of the cylinder is given by the equation

S = 1,583.36 cm²

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the surface area of the cylinder be represented as S

Now , the diameter of the cylinder d = 18 cm

So , the radius of the cylinder r = 18/2 = 9 cm

The height of the cylinder h = 28 cm

And , the lateral surface area of cylinder = 2πrh

Substituting the values in the equation , we get

The lateral surface area of cylinder = 2 ( 3.14 ) ( 9 ) ( 28 )

On simplifying the equation , we get

The lateral surface area of cylinder = 504π cm²

The lateral surface area of cylinder = 1,583.36 cm²

Hence , the lateral surface area is 1,583.36 cm²

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A, B, and D are some advantages of online surveys.

The advantages of online surveys are:

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m is usually slope

lets analyze this problem

its a linear line, meaning a straight line

i see that y, the output, increases by 4 every time x goes up 2

slope, or m, is equal to the rise/run

rise is 4, run is 2

4/2 = 2

m = 2

this means that for every x, y goes up 2

or, for every 2 x, y goes up 4

hope this helps :)

The system of equations is,

y = 2/3(x) and y = (-3/4)x -5.

The correct option is A.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Two lines are intersecting each other.

Line 1 passes through two points (0, 0) and (3, 2).

The equation of the line is,

y = 2/3(x)

And line 2 passes through (0, -5) and (4, -2).

The equation of the line is,

y = (-3/4)x -5.

Therefore, the equations are y = 2/3(x) and y = (-3/4)x -5.

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Answer:

A. 11.025

Step-by-step explanation:

1 Kilogram equals exactly 2.20462 pounds.

2.20462 multiplied by 5 is 11.025