At a furniture store, 20% of chairs are blue, 50% orange and 30% black. A blue chair has a 20% probability of being comfortable. A chair that is not blue has a 5% probability of being comfortable. What is the probability that a comfortable chair in the store is blue?

The fish's total distance traveled is 17 meters in 5 minutes based on multiplication and addition operations.

The total distance the fish traveled can be determined using mathematical operations, especially multiplication and addition.

We know that distance is the product of speed and time, i.e. d = st, where s is speed, t is time, and d is distance.

In this situation, we separately find the distance the fish traveled during its descent and ascent by multiplying time and speed.

The results are added to obtain the total distance the fish traveled for both activities.

The fish's descent speed = 4 meters per minute (MPM)

The total time for the descent = 2

The total distance for the descent = 8 miles (4 x 2)

The fish's ascent speed = 3 meters per minute (MPM)

The total time during ascent = 3 minutes

The total distance for the ascent = 9 miles (3 x 3)

The total distance the fish traveled for descent and ascent = 17 meters (8 + 9)

Thus, we can mathematically conclude that the fish traveled 17 meters.

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The probability of the combined event that the next six days are all sunny is 1/4096

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

Probability that it is sunny = 1/4

Probability that it is cloudy = 3/4

Number of days = 6

The probability for all six days, it is sunny is represented as

Probability = Probability that it is sunny^Number of days

Substitute the known values in the above equation, so, we have the following representation

Probability = (1/4)⁶

Express as decimal

Probability = (0.25)⁶

Evaluate the exponent

Probability = 1/4096

Hence, the probability is 1/4096

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Answer:

I think its (0,3), (1,-6), (2,-15)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i ag

Answer:

x=5

Step-by-step explanation:

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Given: Line segment AC and line segment BD intersect at O.

Prove: ∠AOB ≅ ∠COD

By the supplementary angles property, the equations are given as,

∠AOB + ∠BOC = 180°            .....1

∠BOC + ∠COD = 180°            ....2

By the substitution property of equality, ∠AOB ≅ ∠COD. Then the correct option is B.

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Answer: By the congruent complements theorem

Step-by-step explanation: I took the test

Answer:

34000

Step-by-step explanation:

you would do 8x5 witch is 40 o now 40x850 is 34000

One of the major differences between line segment, line and ray is the number of the endpoints, or no endpoint in either. Thus the definition of the terms are:

A given set of lines can be differentiated by the major differences among them which could either be in length or a line segment, line or ray. All these are parts of a line but have their individual differences as a means of identification.

Thus, the required definition of terms that would complete the pairs given in the question are:

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The equation that will represent how many grams of the compound that will remain is  C = 430(1-0.28)^5

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.The following formula can be used to calculate exponential decay:

C=a(1-r)^twhena = 430 grams

r = 28% = 0.28t = 5 hours

By substituting the values into the formula

C = 430(1-0.28)^5C = 83.20grams

Thus, after 5 hours the radioactive compound with mass 430 grams becomes 83.20 grams and the equation will be  

C = 430(1-0.28)^5

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Answer:

10

Step-by-step explanation:

subtract 14 from 24 or 24 from 14

The correct option is Joint variation, because there is not only diect variation or inverse variation.

What is variation in mathematics?

It gives the relationship between a set of variables with the other set of variables.

Consider the given equation.

R = kst / v²

In this question, details of variables is not given hence, consider k is constant and s, t, and v are variables.

Direct variation: When one variable is directly proportional to the other variable then the relation is known as direct variation.

Joint variation: When a variable depends directly or inversely on 2 or more than two variables then the variabtion is known as Joint variation.

Inverse: When a variable varies inversaly with respect to other variable then the the variation is known as inverse variation.

In the equation, there are 3 variables, R varies directly as s and t and varies inversely as [tex]v^2[/tex].

Hence, the correct option is Joint variation, because there is not only diect variation or inverse variation.

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(-3, -7).

[tex](1)y= 2x-1\\ \\ (2)y= 3x+2[/tex]

[tex]3x+2-2= 2x-1-2\\ \\3x=2x-3[/tex]

[tex]3x-2x=2x-3-2x\\ \\x=-3[/tex]

To see of the answer is correct, both of the equation should give the same y value for the x value of -3.

[tex](1)y= 2(-3)-1\\ \\ y=-6-1\\ \\y=-7[/tex]

[tex](2)y= 3(-3)+2\\ \\y=-9+2\\ \\y=-7[/tex]

(x, y)

(-3, -7).

The length of the second trial will be equal to 2(⁵/₈) miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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In point-slope form, the equation of the parallel line to y − 5 = 3/4(x − 2) is: y - 4 = 3/4(x + 1).

If two lines are parallel their equation, written in point-slope form y - b = m(x - a), will have the same value of m, which is the same slope.

The slope of the line with the equation y - 5 = 3/4(x - 2), is 3/4. This means that the line that passes through the point (−1, 4), and that is parallel to the line with the equation y − 5 = 3/4(x − 2), will have the same slope, m = 3/4.

To write the equation of the line that is parallel to y - 5 = 3/4(x - 2), in point-slope form, substitute m = 3/4 and (a, b) = (-1, 4) into y - b = m(x - a):

y - 4 = 3/4(x - (-1))

y - 4 = 3/4(x + 1)

The equation of the line that is parallel to y − 5 = 3/4(x − 2) is therefore expressed in point-slope form as: y - 4 = 3/4(x + 1).

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Answer:

neither

Step-by-step explanation:

parallel lines will have the same number next to the x

perpendicular lines will have the negative reciprocal number next to the x

(for example 2 and -1/2 are negative reciprocals)

y−4=3(x+5)

parenthesis first

y−4=3x+15

y=3x+19

y+3= −13(x+1)

y+3= −13x−13

y= −13x−16

3x and −13x are neither the same nor negative reciprocals of each other so

the answer is neither

The person who sells more vehicles per week between Shawn and Brett is Shawn who sells 9 vehicles sold per week.

In order to determine who sells more vehicles per week between Shawn and Brett, find the unit of cars sold per week.

Shawn:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 36/4

= 9 vehicles sold per week

Brett:

Number of vehicles sold per week = Number of vehicles sold / Number of weeks

= 56/7

= 8 vehicles sold per week

In conclusion, Shawn sold more vehicles per week.

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The mean absolute deviation of the given values would be = 4.3125

The mean absolute deviation in statistics is defined as the average distance between each data point and the mean and this gives us an idea about the variability in the dataset.

To calculate the mean absolute deviation the following is carried out:

76, 70, 66, 80, 72, 67, 78, 69 = 578/ 8 = 72.25

76-72.25 = 3.75

70-72.25 = 2.25

66-72.25 = 6.25

80-72.25 = 7.75

72-72.25 = 0.25

67-72.25 = 5.25

78-72.25 = 5.75

69-72.25 = 3.25

3.75+2.25+6.25+7.75+0.25+5.25+5.75+3.25 = 34.5

= 34.5/8

= 4.3125

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Unit rate is the quantity of an amount of something at a rate of one of another quantity.

9 pounds = $8.37

1 pound = $0.98

The amount saved per pound is $0.98

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Krystal bought 9 pounds of ground beef. She saved $8.37 by using a coupon.

This means,

9 pounds = $8.37

Divide both sides by 9.

1 pounds = 8.37/9

1 pounds = $0.93

Thus,

The amount saved per pound is $0.98

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After multiplying the given expression, we are left with the following as our solution:

SOLUTION:

[tex]\frac{y^2}{2}+ \frac{3y}{2}[/tex]

Hope this helps!

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates from the graph as,

(15, 80) and (45, 130)

15 and 45 are the seconds.

80 and 130 are the temperatures.

Now,

The rate of change in the temperature during the first 45 seconds.

= (130 - 80) / (45 - 15)

= 50/30

= 5/3

= 3.67 degrees Fahrenheit per second

Thus,

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

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Answer:

u = 7

Step-by-step explanation:

The solution that correctly shows the slope calculation to enable Dorothy show that △PQR is a right triangle

Right triangles are triangles with have perpendicular relationships

The lines will be checked for perpendicularity by calculating the slopes, if any two slopes are negative reciprocals  then they are perpendicular and the triangle is a right triangle

Using point PQ

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 5) / (-1 - -2)

m = -4

Using point QR

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - 1) / (7 - -1)

m = 2/8 = 1/4

Comparing the slopes shows that slopes calculated are negative reciprocals

-4 and 1/4

Therefore the triangle is a right triangle

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Proportionately, since a 3/4 inch cork stopper is too small for sealing the bottle, the Sailor should next try a 4/5 inch cork stopper, and not a 1/2 inch cork stopper.

Proportion refers to the ratio or relative value between two values.

Proportions are fractional values.

And like ratios, proportions can be expressed as fractions, decimals, or percentages.

To determine the relative sizes of these cork stoppers, we can express them in percentages or decimals and other fractions.

3/4 equals 75%, 7.5/10, 75/100, or 0.75.

1/2 equals 50%, 5/10, 50/100, or 0.50.

4/5 equals 80%, 8/10, or 80/100, or 0.80

Thus, with the proportionate sizes of these cork stoppers, the Sailor should try using the biggest plug, which ultimately has size 4/5.

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The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The sides of a triangle are shown.

Now,

We know that;

The sum of two sides of triangle is greater than the third side.

Hence, We get;

First option;

⇒ [ 13, 20, 35 ]

Cleary, 13 + 20 = 33 < 35

Thus, It is not possible.

Second option;

⇒ [ 11, 24, 35 ]

Cleary, 11 + 24 = 35 = 35

Thus, It is not possible.

Third option;

⇒ [ 11, 24, 32 ]

Cleary, 11 + 24 = 35 > 32

Thus, It is possible.

Therefore, The correct sets of numbers which represent the three sides of a triangle will be;

⇒ { 11, 24, 32 }

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The Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

What are the Domain and Range?

Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values or range.

Domain:

The x-value at the farthest left point is at x = −2. Now continue tracing the graph until you get to the point that is the farthest to the right. The x-value at this point is at ∞. There are no breaks in the graph going from left to right which means it’s continuous from -2 to ∞.

Domain: [-2, ∞][−2, ∞] also written as −2 ≤ x ≤ ∞

Range:

Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y=0. Now, look at how far up the graph goes or the top of the graph. This is when x = ∞, but now we’re finding the range so we need to look at the yy-value of this point which is at y = 0. There are no breaks in the graph going from down to up which means it’s continuous.

Range: [0, ∞][0, ∞] also written as 0 ≤ y ≤ ∞.

Hence, the Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

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Answer:3,4

Step-by-step explanation: