Spin a spinner numbered 1-8 and you land on 8 twice in a row what is the probability?

Answers

Answer 1

The probability that you land on 8 twice is 1/64

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We spin a spinner numbered 1-8 twice

The total sample space can be given by considering all the possible values

Hence the total number of spins are 8*8= 64 spins

The possibility that getting 8 twice is only once possible. As it will be only one pair in all the possible values.

Hence, The total probability is 1/64

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Related Questions

A warehouse with a value of $200,000 is insured for $140,000 under an 80% coinsurance policy. A fire loss of $80,000 occurs. How much of the loss will the insurance company pay for? PLEASE SHOW WORK

Answers

The amount of loss that the insurance company will pay is $70000

How do you calculate coinsurance and deductibles?

Deductible plus the amount of coinsurance equals the out-of-pocket maximum.

Determine the $1,000 deductible that the insured is required to pay.

Calculate the coinsurance payment due from the insured: 20% of $5,000 equals $1,000.

What is the formula for coinsurance?

The coinsurance penalty is calculated using the straightforward formula: the loss multiplied by the amount of insurance that should have been in place, less any deductible, equals the amount that was actually paid.

The following covered losses are subject to the coinsurance provision: Property value: $200,000; policy limit: $140,000; coinsurance: 80%; loss: $100,000; deductible: $250; all other numbers: $200,000; etc.

The insured only had $140,000 when they should have had $160,000 (200,000 x.80).

The coverage will cover the deductible plus $87,500. (140,000/160,000

=.875; $100,000 x .875

= $87,500; $87,500 - $250

= $77,250)

Stop Limit/Value =%, Loss Amount x% = $ Amount Policy Would Pay (-) minus $ Deductible = $ Covered Loss Amount

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Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:

4 + 4x = 4x + 7

4 = 7

Select the statement that correctly interprets Sally's solution.

Answers

Linear equations are equations with a leading degree of 1. This shows that there is no solution since 4 =7 is a false statement .

What are linear equations ?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Solving linear equation

Linear equations are equations with a leading degree of 1. Given the linear equation

Given

13+4x-9=7x+7-3x

Simplify

4 + 4x = 4x + 7

Collect the like terms

4x - 4x = 7 - 4

0x = 3

This shows that there is no solution since 4 =7 is a false statement

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There are 20 grams of protein in 3 ounces of sauteed fish. If the answer is 9 hours whats the question?

Answers

There are 60 grams of protein in 9 ounces of sauteed fish.

What is Ratio?

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that there are 20 grams of protein in 3 ounces of sauteed fish.

Let's assume that 9 ounces of sauteed fish contain x grams of protein.

As per the given information, we can write the ratio would be as:

20 grams of protein : 3 ounces = x grams of protein : 9 ounces

20/3 = x/9

x = (20 × 9)/3

x = 180/3

x = 60

Hence, there are 60 grams of protein in 9 ounces of sauteed fish.

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The question seems to be incomplete the correct question would be:

There are 20 grams of protein in 3 ounces of sauteed fish. If 3 ounces of sautéed then, what are the grams of protein fish has?

Y-2/3=4/3(x+2) in standard form

Answers

Answer:

To put the equation in standard form, we need to get all the terms with variables on one side of the equation and all the constants on the other side. We can start by moving the 4/3 to the right side of the equation:

Y - 2/3 = 4/3(x + 2)

Y = 4/3(x + 2) + 2/3

Next, we can distribute the 4/3 on the right side of the equation to get:

Y = (4/3)x + (4/3)2 + 2/3

Y = (4/3)x + (8/3) + 2/3

Finally, we can combine like terms to get:

Y = (4/3)x + (10/3)

This is the standard form of the equation.

Answer -3y+4x=-10

Step-by-step explanation:

Car A travels 702 miles on 12 gallons of gasoline. Car B travels 873 miles on 15 gallons of gasoline. Hugo wants to buy a car with lower fuel consumption. Find out the distance each car could travel per gallon of gasoline. Then, tell which of the two cars (A or B) Hugo should buy.

Answers

Hugo will buy car B.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Now,

Since, Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Hence, The distance of car A for travels in per gasoline = 702 / 12

                                                                                      = 58.5 miles

And, The distance of car B for travels in per gasoline = 873 / 15

                                                                                  = 56.2 miles

Since, Hugo wants to buy a car with lower fuel consumption.

Clearly, The car B consume lower fuel.

Hence, Hugo will buy car B.

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Multiple choice! 15 points! Casey used the diagram to prove DEH = FEG. In the diagram, DG intersects HF at point E

Answers

1. Linear pair theorem

2. Substitution property of equality

3. Subtraction property of equality

4. Definition of congruence

The given results can be proved by the linear pair property of angles on a straight lines.

What is the linear pair property?

The linear pair property can be defined as the sum of all the angles on the one side of a straight line is equal to 180°.

In the given diagram the following data is given,

The angles ∠DEH and ∠DEF are on the straight line HEF.

And, the angles ∠DEF and ∠FEG are on the straight line DEG.

As per the linear property of angles, it can be written as,

m∠DEH + m∠DEF = 180°.

And,  m∠DEF + m∠FEG = 180°.

Which implies that m∠DEH + m∠DEF = m∠DEF + m∠FEG

Subtract the common terms from both sides to get,

m∠DEH + m∠DEF - m∠DEF = m∠DEF + m∠FEG - m∠DEF

⇒ m∠DEH = m∠FEG

⇒ ∠DEH ≅ ∠FEG

This is also known as the property of vertically opposite angles.

Hence, the given result m∠DEH = m∠FEG is proved by the linear pair property.

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the function that has the least minimum value is function . the function that has the greatest minimum value is function .

Answers

Function h is the one with the lowest minimum value.

Explain about the function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

A function is more precisely defined as a set of ordered pairs (x,y) with the limitation that there may only be one ordered pair with the same value of x given a set of inputs (domain) X and a set of potential outputs (codomain).

A graph is considered to be a function if any vertical line formed can cross it at most one point. A vertical line cannot cross the graph at more than two points in any location.

Considering the query

f(x) = x² - 2x - 6

given the graph

at its lowest value (1,-7)

h(x) = 2(x-1)²

h(x) = 2 (x² + 1 -2x )

h(x) = 2x² - 4x + 2

Creating the graph

We may view the

Lowest value at (1,0)

The complete question is,

Consider continuous functions f, g, and k. Then complete the statements.

The function that has the least minimum value is function _____. The function that has the greatest minimum value is function _____.

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The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that, in any seven-day week, the computer will
crash more than 1 time? Round your answer to four decimal places.

Answers

Answer:

0.692

Step-by-step explanation:

Given: The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day.

Mean per day = 0.5

Mean per 7 day = 7*0.5 = 3.5

X = Number of times the computer will crash

We have to find:

P( the computer will crash more than 1 time in any seven-day week) =?

P(x >1) = ?

P(X > 1) =1- P(X < or = 1)

P(X < or = 1) = 0.320847

P(X < or = 1) = 0.3208

P(x > 1) = 0.6792

So, the answer is 0.6792

What is the equation of a line perpendicular to y = [tex]-\frac{2}{5}[/tex] x - 1 that passes through (2, -8)?
(use the formula y= m x + b)
(must solve for y to get slope)

Answers

The equation of line perpendicular to the given line is,

[tex]y = \frac{5}{2}x - 13[/tex].

What is slope point form of the line?

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Consider the given equation of line,

[tex]y = -\frac{2}{5}x - 1[/tex]

Compare it with y = mx + c

where m is the slope.

⇒ Slope of the line is -2/5.

We have to find the equation of line perpendicular to the given line.

Since the slope of the perpendicular line is negative reciprocal of the slope of given line.

So, the slope of perpendicular line is [tex]-\frac{1}{(\frac{2}{5}) } = 5/2[/tex].

The point passes through (2, -8).

Now consider, the point slope form of the line

[tex]y-y_1 = m(x-x_1)\\[/tex]

Plug [tex](x_1, y_1) = (2, -8) , m = \frac{5}{2}[/tex] in the above equation.

[tex]y - (-8) = \frac{5}{2}(x-2)\\ y+8 = \frac{5}{2}x - 5\\ y = \frac{5}{2}x-5-8\\ y = \frac{5}{2}x - 13[/tex]

Hence, the equation of line perpendicular to the given line is,

[tex]y = \frac{5}{2}x - 13[/tex].

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Add : (2x + 5) + (3x - 7)

Answers

The addition is 5x - 2. We can find out our answer using simple arithmetic calculations.

What are arithmetic calculations?

Arithmetic calculations are mathematical operations used to solve equations and perform numerical calculations. They include addition, subtraction, multiplication, and division. Arithmetic is a fundamental part of mathematics, and it is an important part of everyday life. Arithmetic is used to solve problems in a variety of fields, such as engineering, finance, and science. It is also used in everyday tasks such as grocery shopping and budgeting. Arithmetic calculations are essential for most people and can help them understand and solve a variety of problems. By mastering basic arithmetic calculations, people can make more informed decisions and better understand the world around them.

In algebraic expressions ,

same variables are added together and constants together.

In given equation,

2x and 3x are added i.e. 5x

and 5 and -7 are added  i.e. -2

So, the equation is 5x-2.

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HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A. 147.5

B. 430.2

Step-by-step explanation:

A. 2001

2001 - 1998 = 3

y = 122.1(1.065)³

y = 147.49

y = 147.5

B. 2018

2018 - 1998 = 20

y = 122.1(1.065)²⁰

y = 430.23706225

y = 430.2

I hope this helps!

A store marks up winter wear 17%. Write two expressions equal to the retail price of an
item with an original cost of w dollars.

Answers

Answer:

w * (1 + 0.17) or w + (w * 0.17)

Step-by-step explanation:

Here are two expressions that represent the retail price of an item with an original cost of w dollars, assuming that the store marks up the price by 17%:

Retail price = w * (1 + 0.17)

This expression shows that the retail price is equal to the original cost multiplied by the markup percentage (0.17) plus 1. For example, if the original cost of the item is $100, the retail price would be $100 * (1 + 0.17) = $117.

Retail price = w + (w * 0.17)

This expression shows that the retail price is equal to the original cost plus the markup amount (which is equal to the original cost multiplied by the markup percentage). For example, if the original cost of the item is $100, the retail price would be $100 + ($100 * 0.17) = $117.

a manufacturer knows that the numbers of items produced per hour by machine a and by machine b are normally distributed with a standard deviation of 8.4 items for machine a and a standard deviation of 11.3 items for machine b. the mean hourly amount produced by machine a for a random sample of 40 hours was 130 units; the mean hourly amount produced by machine b for a random sample of 36 hours was 120 units. find the 95% confidence interval for the differ- ence in mean parts produced per hour by these two machines.

Answers

The 95% confidence interval for the difference in mean parts produced per hour by these two machines is given as 10 ± 4.516.

It is given to us that -

Numbers of items produced per hour by machine a and by machine b are normally distributed

There is a standard deviation of 8.4 items for machine a and a standard deviation of 11.3 items for machine b

The mean hourly amount produced by machine a for a random sample of 40 hours was 130 units

The mean hourly amount produced by machine b for a random sample of 36 hours was 120 units

We have to find out the 95% confidence interval for the difference in mean parts produced per hour by these two machines.

Let us say that -

x = Number of units of machine a

y = Number of units of machine b

According to the given information, we have

Number of units of machine a = x⁻ = 130

Standard deviation of machine a = σx = 8.4

Number of hours of machine a = [tex]n_{x}[/tex] = 40

Similarly,

Number of units of machine b = y⁻ = 120

Standard deviation of machine b = σy = 11.3

Number of hours of machine a = [tex]n_{y}[/tex] = 36

We know that mean of the differences can be find out as -

d⁻ = x⁻ - y⁻

=> d⁻ = 130 - 120

=> d⁻ = 10

In order to find out the 95% confidence interval for the difference in mean parts produced per hour by these two machines, we have to make use of the formula mentioned below -

d⁻ - [tex]z_{a/2}[/tex] √[(σx²/ [tex]n_{x}[/tex]) + (σy²/ [tex]n_{y}[/tex])] < μd < d⁻ + [tex]z_{a/z}[/tex] √[(σx²/ [tex]n_{x}[/tex]) + (σy²/ [tex]n_{y}[/tex])]  ---- (1)

From the z-score table, for a 95% confidence interval, we have -

α = 0.05

α/2 = 0.025

=> F(z) = 1 - α/2 = 1 - 0.025 = 0.975

For a z-distribution function of 0.975, we have -

[tex]z_{a/2}[/tex] = 1.96

Substituting all the values in equation (1), we have

d⁻ - [tex]z_{a/2}[/tex] √[(σx²/ [tex]n_{x}[/tex]) + (σy²/ [tex]n_{y}[/tex])] < μd < d⁻ + [tex]z_{a/z}[/tex] √[(σx²/ [tex]n_{x}[/tex]) + (σy²/ [tex]n_{y}[/tex])]

=> [tex]10-1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }[/tex] < μd < [tex]10+1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }[/tex]

=> [tex]10-1.96\sqrt{1.764+3.54 }[/tex] < μd < [tex]10+1.96\sqrt{\frac{8.4^{2} }{40} +\frac{11.3^{2} }{36} }[/tex]

=> [tex]10-(1.96 * 2.303)[/tex] < μd < [tex]10+(1.96 * 2.303)[/tex]

=> 10 - 4.516 < μd < 10 + 4.516

=> 5.483 < μd < 14.516

=> μd = 10 ± 4.516

Thus, the 95% confidence interval for the difference in mean parts produced per hour by these two machines is given as 10 ± 4.516.

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An element with mass 420 grams decays by 11.8% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram

Answers

An element with mass 420 grams decays by 11.8% per minute. the amount of the element remaining after 16 minutes is 56.3 grams

What is an exponential function?

This is a type of function that are of 3 main parts

the starting or initial value base function the exponents

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so forth.

Considering the given problem,  

the starting = 420 grams

the base = 1 - r = 1 - 11.8% = 1 - 0.118 = 0.882

the exponents = 16

amount remaining = 420 (0.882)^16

= 56.330895

= 56.3 to the nearest tenths

the amount left is 56.3 g

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based on the sample, is there sufficient evidence in the data to conclude that the population average time to deliver goods (delivery time), once the order is placed, is greater than 25 minutes? based on the statistical analysis (with margin of error

Answers

An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data.

What is Sampling Error?

In statistics, a truly random sample involves selecting people from a population with an equivalent probability; in other words, picking individuals from a group without bias.

Failing to accomplish this appropriately will result in a sampling bias, which can dramatically increase the sample error in a systematic fashion. For instance, using a sample from just one nation to estimate the average height of all people on Earth could lead to a significant over- or underestimation.

In practice, it might be challenging to select an impartial sample because various criteria (for instance, nation, age, gender, and so on) may substantially bias the estimator. It is important to make sure that none of these aspects are taken into consideration when choosing the sample.

Hence, An analyst makes a statistical error known as a sampling error when they choose a sample that does not accurately represent the complete population of data.

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Linear equation: -1
2
(6x + 10) = 13

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?

Answers

The answer of the provided question is  the addition property of equality and then the division property of equality

What is addition property?

Regardless of the sequence in which the numbers are added, the total of any two or more numbers is always the same. This characteristic may be expressed in the formula A + B = B + A. For instance, 2 + 4 Equals 4 + 2 = 6. As a result, both sets add up to 6, therefore 2 + 4 = 4 + 2.

We have multiplied both sides of the equation by 5 to move from Step 1 to Step 2:

[tex]-3x -5 +5 = 13 +5\\ -3x = 18[/tex]

We have divided both sides of the equation by -3 to go from Step 2 to Step 3:

[tex]-3x/-3 = 18/-3\\ x = -6[/tex]

These procedures can be categorized as...

first the equality's addition property, then its division property

However, since multiplication and division are the same thing, but with reciprocal numbers, and since addition and subtraction are the same thing, but with opposite numbers, any of the above answers may theoretically be right.

(adjust 5, divide by -3) = (adjust 5, multiply by -1/3)

(subtract 5 and divide by 3) equals (subtract 5 and multiply by 1/3).

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Is this correct?
-100% + o.58

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{-100\% + 0.58}\\\\\mathsf{= \dfrac{-100}{100} + \dfrac{0.58}{1}}\\\\\mathsf{= -100 \div 100 + 0.58 \div 1}\\\\\mathsf{= -1 + 0.58}\\\\\mathsf{= -0.42}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-0.42}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

9. If f(1) = 8 and f(n)=1/2f(n-1) + 2 then which of the following is the value of f(3)
(1) 5
(2) 7
(3) 3
(4) 6
COMMON CORE ALGEBRA I, UNIT REVIEWS-UNIT #4
MATHINSTRUCTION, RED HOOK. NY 12571 ©2015

Answers

In the Algebra prompt above, If f(1) = 8 and f(n)=1/2f(n-1) + 2 then  the value of f(3) is 5.

What is Algebra?

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions.

We are given the following:

f(n)=1/2f(n-1) + 2; and

f(1) = 8

Thus,

f(2) = 1/2 x 8 + 2

= 4 + 2

f(2 )=  6

Hence,

f(3) = 1/2 x 6 + 2

= 3 + 2; thus,

f(3) = 5

Therefore,  it is correct to state that if f(1) = 8 and f(n)=1/2f(n-1) + 2 then  the value of f(3) is 5.

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The ratio of the price of a book to the price of a calculator is 5:2. If the price of the book drops by £5, the ratio will be 2:1. What is the price of the calculator?

Answers



Price of book / price of calculator = 5 / 2
Price of book - 5 / price of calculator = 2 / 1

Cross multiply and let x = price of book and let y = price of calculator

Price of book * 2 = price of calculator * 5
2x = 5y

Price of book - 5 * 1 = Price of calculator * 2
x - 5 = 2y

Those are now our two equations and we can solve for the variables now by rewriting the second equation to isolate y and then substitute that into y in the first equation to solve for x.

(x - 5) / 2 = y
y = .5x - 2.5

2x = 5(.5x - 2.5)
2x = 2.5x - 12.5
-.5x = -12.5
x = 25

Price of book is 25 dollars.

x - 5 = 2y
25 - 5 = 2y
20 = 2y
y = 10

Price of calculator is 10 dollars.

Hope this helps!

Graph shows two lines on a coordinate plane. A line labeled p goes through (2, 2) and (0, minus 4). Another line labeled q goes through (0, 2) and (2, minus 4). Both lines intersect at X-axis at 1 and Y-axis at minus 1. The slope of line p is , and the slope of line q is .

Answers

The slope of line p is 3, and the slope of line q is -3

How to determine the slopes of the lines?

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

Line p

From the line p, we have the following ordered pairs

(2, 2) and (0, -4)

Line q

From the line p, we have the following ordered pairs

(0, 2) and (2, -4)

Rewrite the above points properly

So, we have the following ordered pairs

Line p, (x, y) = (2, 2) and (0, -4)

Line q, (x, y) = (0, 2) and (2, -4)

The slopes of the lines are then calculated using the following slope equation

slope = (y₂ - y₁)/(x₂ - x₁)

Substitute the known values in the above equation

So, we have the following equation

Slope of line p = (-4 - 2)/(0 - 2)

Evaluate

Slope of line p = 3

Slope of line q = (-4 - 2)/(2 - 0)

Evaluate

Slope of line q = -3

Hence, the slopes are 3 and -3, respectively

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what is the value of t*, the critical value of the t distribution for a sample of size 14, such that the probability of being greater than t* or less than -t* is 1%?

Answers

Therefore ,we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.

What is probability ?

The field of mathematics known as probability studies numerical descriptions of the likelihood of an event occurring or of a statement being true. A number between 0 and 1 is the probabilities of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Here,

Two-Tailed

For the two-tailed test H0, the following two values are critical: = 3 against HA: 3 — one for each tail, with the left tail being denoted by -t(/2, n - 1) and the right tail being denoted by t(/2, n - 1). The t-values t(/2, n - 1) and -t(/2, n - 1) are those where the probability to the left of them is /2 and the likelihood to the right is /2, respectively. It is possible to demonstrate the crucial values -t0.025,14 is -2.1448 and t0.025,14 is 2.1448, respectively, using statistical software or a t-table. This means that if the test statistic t* is less than -2.1448 or more than 2.1448, we would reject the null hypothesis H0: = 3 in favor of the alternative hypothesis HA: 3. The graph's rejection zone is highlighted in red for visual appeal.

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Can anyone solve these 2 questions they are very easy but i want to double check

Answers

Answer:

Corresponding angels:

a,f

h,b

e,d

c,g

y = 80  Vertical angles are congruent

x = 50 Sum of the interior angles of a triangle is 180

180 - 80 -50 = 50

Step-by-step explanation:

Answers of question number 12 and 13

Calculate the distance between the points Q=(1,0) and B= (-2.-3) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer: QB≈4.24

Step-by-step explanation:

Q(1,0)    B(-2,-3)   QB=?

[tex]\boxed{L=\sqrt{(x_2-x_1)+(y_2-y_1)^2} }\\\\x_1=1\ \ \ \ x_2=-2\ \ \ \ y_1=0\ \ \ \ y_2=-3[/tex]

Hence,

[tex]QB=\sqrt{(-2-1)^2+(-3-0)^2} \\\\QB=\sqrt{(-3)^2+(-3)^2} \\\\QB=\sqrt{9+9} \\\\QB=\sqrt{18} \\\\QB=\sqrt{9(2)} \\\\QB=\sqrt{3^2(2)} \\\\QB=3\sqrt{2} \\\\QB\approx4.24[/tex]

event a a has a probability of 0.5 0.5, and event b b has a probability of 0.4 0.4. if a a and b b are independent events, what is the probability that either a a or b b occurs?

Answers

The probability that either a or b occurs is 0.7.

Given :

event  a has a probability of 0.5 , and event b has a probability of 0.4. if a and b are independent events.

P ( a ) = 0.5

P ( b ) = 0.4

we know that,

P ( a or b ) = P ( a ) + P ( b ) - P ( a and b )

if a and b are both independent

P ( a and b ) = P ( a ) * P ( b )

substitute we get

P ( a or b ) = 0.5 + 0.4 - 0.5 * 0.4

= 0.9 - 0.2

= 0.7

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Which expression finds the length of side x in this right triangle?

Answers

Answer: which triangle ;/

Step-by-step explanation:

HELP ASAP PLS, 46 P!!!!

Which similarity statements would be true for the figure? (Select all that apply)



A.

∆ DAB ~∆ DAC


B.

∆ ABD~∆ CBA


C.

∆ DAB~∆ DCA


D.

∆ BCA~∆ ACD


E.

∆ BAC~∆ DCA

Answers

Option (A) ΔDAB ~ΔDAC this similarity statement would be true for the figure.

We know that two triangles are similar if they have the same ratio of corresponding sides and equal of corresponding angles.

The fundamental theorem of similarity states that a line segment splits of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Similar triangles are the triangles that look similar to each other but their sizes might not be exactly the same. Two triangles will be similar if the angles are equal and sides are in the same ratio or proportion. Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides must be the same.

In Δ DAB and Δ DAC

DA = DA

∠D = ∠D

and AB proportional to AC.

Therefore Δ DAB ~ Δ DAC would be true for the figure.

Given question doesn't provide figure. I have attached figure of triangle to complete the question.

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i need help with math How far can the bicyclist ride in 8 hours? How long
will it take the bicyclist to ride 105 miles? need help with b, c , d and e

Answers

the proportionality constant is 20 and in 8 ours it will cover 160 miles.

What is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

The slope of he given graph will be (30-10)/(2-1) = 20

So here the proportionality constant is 20.

we can write y = 20x

This means in 8 ours it will cover 8*20 = 160 miles.

Hence, the proportionality constant is 20 and in 8 ours it will cover 160 miles.

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2+4/5-3/20
could anyone possibly help me with this equation? If yes, i would be very grateful towards you! thank you!​

Answers

Answer:

2 13/50

Step-by-step explanation:

gogle

On solving the expression 2 + (4/5) - (3/20), we get 53/20.

What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given is the expression -

2 + (4/5) - (3/20)

The given expression is -

2 + (4/5) - (3/20)

Now, solving further, we get -

2 + (4/5) - (3/20)

2 + 4/5 - 3/20

(40 + 16 - 3)/20

53/20

Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.

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How do you solve n^2 = 6n?

Answers

Answer:

n=0  or  n=6

Step-by-step explanation:

n² = 6n

n² - 6n = 0

n(n - 6) = 0

n = 0;  or  n - 6 = 0 => n = 6

What is the square root of 100000? I got as far as 100√10, but what is the final answer?

Answers

√100000 = 100√10 ≈ 316.227766

10 =2⋅5 has no more square factors, so √10 cannot be simplified further.

So it may be simply

√100000 = 100√10

Unless you want a decimal approximation or an expression using a continued fraction...

Irrational Number

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0.

√10 is an irrational number. It cannot be expressed as a fraction. Its decimal representation does not terminate or recur.

If  use a calculator, it will  an approximation like:

√10 ≈ 3.16227766

Then

√100000 = 100√10 ≈ 316.227766

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