What is the conversion of 180 mph to kmh ?

Answer:

Plug in the variable (x) in the equation.

Step-by-step explanation:

once you plug it in, multiplied by two, and subtract by 3, and it should equal your y input

Similar triangles have different dimensions, but their measurements have the same ratio.

In the image, we can see two triangles. A large triangle and a small triangle. These are similar. How can we tell? They share the same angles.

Now, we can set up a proportion comparing their side lengths:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

Theoretically, if we divide corresponding side lengths of two similar shapes, we should get the same value. This is what makes the proportion true.

Now, simplify:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]\dfrac{41}{14}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]41(2x+8)=14[(2x+8)+(5x-4)][/tex]

[tex]82x+328=14[2x+8+5x-4]\\82x+328=14(7x+4)\\82x+328=98x+56[/tex]

[tex]328=16x+56\\272=16x\\x=17[/tex]

x = 17

The solutions to the equation k³ + 6k² + 9k = 0 are given as follows:

k = 0 and k = -3.

The equation for this problem is defined as follows:

k³ + 6k² + 9k = 0.

Simplifying the common factor k, we have that:

k(k² + 6k + 9) = 0.

The first solution is of:

k = 0.

The second solution is obtained as follows:

k² + 6k + 9 = 0

Applying the perfect square trinomial:

(k + 3)² = 0

k + 3 = 0

k = -3.

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The algebra math can be calculated in online by using online calculators, educational websites and mobile apps etc.

There are many online resources available that can help you calculate algebra math problems. Here are a few options:

Online calculators: You can use various online calculators to calculate algebra problems.

Educational websites: There are many educational websites that provide lessons and tutorials on algebra.

Mobile apps: There are many mobile apps available that can help you solve algebra problems on-the-go.

Online courses: There are many online courses available that can teach you algebra from the basics to the advanced level.

Whichever option you choose, it's important to make sure that you understand the steps involved in solving algebra problems so that you can apply the principles to new problems in the future.

Therefore, the different different methods to calculate algebra online has been explained

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Answer:

3.16666667

Step-by-step explanation:

convert in a calculator online

inches to feet

The solution to the system of equation y = 5x + 4 and y = 6x + 1 is (3,19).

Given the system of equation in the question;

y = 5x + 4

y = 6x + 1

To solve the system of equation, first plug equation one into equation two and solve for x.

y = 6x + 1

Plug in y = 5x + 4

5x + 4 = 6x + 1

Solve for x

6x - 5x = 4 - 1

x = 3

Now, plug x = 3 into equation one and solve for y.

y = 5x + 4

Plug in x = 3

y = 5( 3 ) + 4

y = 15 + 4

y = 19

Therefore, the value of x is 3 and y is 19.

Option A) (3,19) is the correct answer.

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2.16% probability that the man would have done at least this well if he had no ESP.

As we know that for each coin toss, there are only two possible outcomes. Either he predicts the correct outcome, or he does not. Therefore, the tosses are independent. So, we can use the binomial probability distribution:

Binomial probability distribution says that, the binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X=x) = Cₙ, ₓ.pˣ.(1-p) ⁿ⁻ˣ

here, Cₙ, ₓ is the number of different combinations of the x objects from a set of n elements, which is given by the following formula:

Cₙ, ₓ = n/x(n-x)

here, p is the probability of X happening, therefore,

fair coin: Equally as likely to be heads or tails, so p = 0.5

number of times coin is flipped = 22

n = 22

now for the probability that he would have done at least this well if he had no ESP:

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22)

In which;

P(X = 16) = 0.0143; P(X = 17) = 0.0053; P(X = 18) = 0.0016; P(X = 19) = 0.0004; P(X = 20) = 0.0001

for the other values we know that they are close to 0, hence,

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22) = 0.0216

So we know that 2.16% probability that he would have done at least this well if he had no ESP

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The solution for each parts is shown below.

Where two lines intersect, there are two vertical angles.

Given:

1. Two adjacent angles

<1 + <2 = 135

2x + 2x+ 7 = 135

4x + 7 = 135

4x = 128

x= 32

2. If one of the angles has a measure of 39° then other angle is

= 90 - 39

= 51 degree.

3. The angles are complementary.

2x + 3 + 2x = 90

4. Two complementary angles are expressed as 2x and 3x.

2x + 3x= 90

5x = 90

x = 18

So, 2x = 36 and 3x = 54 degree.

5. Angles j and k are supplementary angles.

<j + <k = 180

<j + 117 = 180

<j = 63

6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°.

105 + 3x -24 = 180

3x + 81 = 180

7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°.

<ACB + <BCD = 180

4x + 6x + 50 = 180

10x = 130

x= 13

So, <ACB = 4x = 4(13)= 52.

8. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°

<1 = < 3

2x + 26 = 3x -32

2x - 3x = -32 - 26

-x =-58

x= 58

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Using Poisson distribution, the probability mass function is approximately 4.2%

To solve the problem, we can use the Poisson distribution since we are interested in the probability of a certain number of events (in this case, cars with 4 occupants) occurring in a given time period (morning commute).

The Poisson probability mass function is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable (number of cars with 4 occupants), λ is the mean (average) number of occurrences in the given time period (morning commute), and k is the number of occurrences we are interested in (k = 4 in this case).

Since the average number of non-driver passengers per car is 0.52, we can assume that the average number of total occupants (including the driver) is 1.52. Therefore, the mean (average) number of cars with 4 occupants in a given time period can be calculated as:

λ = (1.52)^4 * e^(-1.52) / 4!

Using a calculator, we get λ ≈ 0.0331.

Now we can plug in the values of λ and k into the Poisson probability mass function:

P(X = 4) = (e^(-0.0331) * (0.0331)^4) / 4!

Using a calculator, we get P(X = 4) ≈ 0.042

Therefore, the probability that a randomly selected car passing through the toll booth during the morning commute has 4 occupants (the driver and 3 passengers) is approximately 0.042 or 4.2%.

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Answer: x= 5/2, y= 11, z= 3/2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form:

(5/2, 11, 3/2)

Answer:120

Step-by-step explanation:

Answer:

The length of the other two equal sides is 11.75 yards.

Step-by-step explanation:

Let's call the length of the two equal sides of the rectangular enclosure "x". We know that the total amount of fencing used is 65 yards and that two sides already use 41.50 yards of fencing.

So, we can set up the equation:

2x + 41.50 = 65

To solve for x, we first need to isolate x on one side of the equation. We can start by subtracting 41.50 from both sides:

2x = 23.50

Then, we can divide both sides by 2 to solve for x:

x = 11.75

Therefore, the length of the other two equal sides is 11.75 yards.

The quadrilateral FGHI is a parallelogram

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

F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)

The lengths can be calculated as

Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the above as a guide, we have the following:

FG = √[(0 - 7)² + (-6 + 4)²] = √53

GH = √[(8 - 7)² + (4 + 4)²] = √65

HI = √[(8 - 1)² + (4 - 2)²] = √53

IF = √[(1 - 0)² + (2 + 6)²] = √65

For the slopes, we have

Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

FG = (-6 + 4)/(0 - 7) = 2/7

GH = (4 + 4)/(8 - 7) = 8

HI = (4 - 2)/(8 - 1) = 2/7

IF = (2 + 6)/(1 - 0) = 8

Based on the above computations, we have

Hence, the shape is a parallelogram

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The simplification of the given expression would be = 6

60 minutes = 1 hour

But 0.1 of 60 minutes simply means the quantity of 60 minutes that is 0.1.

This can be calculated through the multiplication of 0.1 by 60 minutes.

That is;

= 0.1 ×60 = 6.

Therefore, the the quantity of 60 minutes that is 0.1 = 6.

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The length of side x in simplest radical form with a rational denominator is   [tex]\sqrt{3} /2[/tex].

What is the equilateral triangle?

In an equilateral triangle, all sides are equal in length.

That means that all the angles of the triangle will be congruent.

Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.

Therefore, the hypotenuse of the equilateral triangle is 1.

So,

[tex]x = 1 * sin60[/tex]°

[tex]x = 1 * \sqrt{3} /2\\x = \sqrt{3} /2[/tex]

Hence, The length of side x in simplest radical form with a rational denominator is   [tex]\sqrt{3} /2[/tex].

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We wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.

What is meant by inequalities?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Let x be the number of bracelets and y be the number of necklaces.

Given Olivia can make up to 60 pieces per week.

So the inequality is: x + y ≤ 60

She can make less than or equal to 40 bracelets.

 So the inequality is : x ≤ 40

She can make less than or equal to 40 necklaces as well in a week.

 So the inequality is : y ≤ 40

She wants to sell at least 30 items per week.

x + y ≥ 30

x+y  ≤60 can be written as

We can draw the inequalities as shown below.

x + y ≤ 60 as red

x ≤ 40 as green

y ≤ 40 as violet

x + y ≥ 30 as blue

The overlapping region of all inequalities is yellow.

The money made per week: 5x + 80y

We have to find the maximum money made.

The vertices of the yellow region are:

(0,30),(0,40),(30,0),(40,0),(20,40),(40,20)

The coordinates with negative values are neglected.

From this, 5*20 + 80 * 40 = $3300 is the maximum amount.

Therefore we wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.

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In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.

In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.

Now, here the formula of Z is asked, Z is a combination of two number

Z = a+ib

Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.

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the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

To determine the probability that the man would have gotten at least 22 correct coin flip predictions if he had no ESP, we can use a statistical tool called a binomial distribution. Assuming the coin is fair, the probability of getting any single coin flip prediction correct is 0.5, since there are only two possible outcomes (heads or tails) and they are equally likely. We can use this probability to calculate the probability of getting exactly 22 correct predictions out of 30 coin flips, which is:

P(X = 22) = (30 choose 22) {multiply} 0.5^22 {multiply} 0.5{power}8 = 0.099

This means that the probability of getting exactly 22 correct predictions by chance is less than 10%. However, the question asks for the probability of getting at least 22 correct predictions, which includes the probabilities of getting 23, 24, 25, 26, 27, 28, 29, or 30 correct predictions as well.              

To calculate this cumulative probability, we can add up the probabilities of getting each of these outcomes separately:

P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)

Using a binomial distribution table or calculator, we can find that this cumulative probability is approximately 0.149.

Therefore, the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

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The conversion of 83 f to c  is equal to approximately 28.3°C.

As a side note: the unit of temperature Fahrenheit is named after the German physicist Daniel Gabriel Fahrenheit.The unit for temperature Celsius is named after the Swedish astronomer Anders Celsius.

To convert a temperature from Fahrenheit (F) to Celsius (C), you can use the following formula:

C = (F - 32) x 5/9,

where

C is the temperature in Celsius, and

F is the temperature in Fahrenheit.

Using this formula, we can convert 83°F to Celsius as follows:

C = (83 - 32) x 5/9

C = 51 x 5/9

C = 28.3

Therefore, 83°F is equal to approximately 28.3°C.

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The probability that a continuous random variable will be equal to any specific value is zero. This is because the probability of an individual value for a continuous random variable is represented by the area under the probability density function (PDF) at that particular value, and the area of a single point is zero.

Two ways an individual can improve his or her credit score is,

Pay bills on time and Ask for higher credit limits

Three-digit credit scores are used to determine how risky it would be for a lender to give credit to a certain individual.

Ask to be added as an authorized user if a family member or acquaintance has a credit card account with a large credit limit and a solid track record of on-time payments.

The credit limit on the account can help your utilization because it is added to your credit reports.

If you make late payments, no credit improvement plan will work.

Even worse, missed payments may appear on your credit records for up to 7 1/2 years.

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To find out how many oranges Cindy needs to make 7 cups of orange juice, we can use ratios and proportions.

First, let's find out how many oranges she needs to make 1 cup of orange juice:

2 1/2 oranges make 1/2 cup of orange juice

To make 1 cup of orange juice, she needs twice as many oranges: 2 1/2 * 2 = 5 oranges

So, Cindy needs 5 oranges to make 1 cup of orange juice.

Next, let's use this information to find out how many oranges she needs to make 7 cups of orange juice:

1 cup of orange juice requires 5 oranges

To make 7 cups of orange juice, she needs 7 times as many oranges: 5 * 7 = 35 oranges

Therefore, Cindy needs 35 oranges to make 7 cups of orange juice.

If Cindy used 2 1/2 oranges to make 1/2 cup of orange juice, Cindy will need 35 oranges to make 7 cups of orange juice.

To find out how many oranges Cindy will need to make 7 cups of orange juice, we can set up a proportion based on the information given.

First, we need to determine the ratio of oranges to orange juice. According to the given information, Cindy used 2 1/2 oranges to make 1/2 cup of orange juice. We can represent this as 2.5 oranges per 0.5 cups of juice.

To find the number of oranges needed for 7 cups of juice, we can set up a proportion:

2.5 oranges / 0.5 cups = x oranges / 7 cups

Now we can cross-multiply and solve for x:

(2.5 oranges) * (7 cups) = (0.5 cups) * (x oranges)

17.5 oranges = 0.5x

Divide both sides by 0.5:

17.5 / 0.5 = x

x = 35

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The amount of money that will be used to drive only one mile by the different vehicles given above such as Deswagon and DesMobile would be =$57.35 and $56.78 respectively.

The total mileage that can be covered by Deswagon = 490miles.

The total cost of gas for the Deswagon = $28,100

Therefore the amount that will be paid for only one mile = X.

That is , 490 miles = $28,100

1 mile = ×

make X the subject of formula;

X = 28,100/490

= $57.35.

The total mileage that can be covered by DesMobile = 575miles.

The total cost of gas for the DesMobile = $32,650.

Therefore the amount that will be paid for only one mile = X.

That, 575 miles = $32,650

1 mile = X

Make X the subject of formula;

X = 32,650/575

X = $56.78.

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Answer:

Step-by-step explanation:

Try putting it in Y= in the calculator

Step-by-step explanation:

hence proved...

The answer mentioned in above pdf.

missing part is (. OC is correct option of cubic formula)...

Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. After 10 years, he would have $7,395 in the account to the nearest dollar.

The formula for calculating the future value (FV) of an investment is: FV = PV(1 + r/n)nt, where PV is the present value, r is the interest rate per period, n is the number of compounding periods per year, and t is the number of years.

In this problem, PV is $450, r is 2.225%, n is 4 (quarters in a year), and t is 10 years. Plugging these values into the formula gives us:

FV = 450(1 + 0.02225/4)4*10 = 450(1.0055625)40 = 450(2.7326) = $7,395

Therefore, after 10 years, Suav would have $7,395 in the account to the nearest dollar.

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Because the exchange rate between the US dollar (USD) and the euro (EUR) changes over time, the exact conversion from $100 US to euros will be determined by the current exchange rate.

As of the 21 Feb 2023 cutoff date, the exchange rate was around 1 USD = 0.94 EUR.

Using this exchange rate, we can calculate the value of $100 US in euros:

$100 US x 0.94 EUR/USD = 94 EUR

Therefore, as of 21 Feb 2023, $100 US was equivalent to approximately 94 euros.

However, it's important to note that exchange rates are subject to change, and the exact conversion may differ depending on the current rate.

The price at which one currency can be exchanged for another is referred to as the currency exchange rate. Exchange rates fluctuate constantly and are determined by the global foreign exchange market's supply and demand for currencies.

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Answer:

Using 3.14 for π, we have:

[tex]32(26) + \frac{1}{2} (3.14)( {13}^{2} ) = 1097.33[/tex]

about 1,097.33 square feet

20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )

The conversion factor to convert kg to pounds is 2.20462

1 kg = 2.20462 pounds

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in pounds = The mass in kg × conversion factor

Substitute the values in the equation

1 kg = 2.20462 pounds

20 kg =  20 × 2.20462

Multiply the numbers

= 44.0925 pounds  ( rounded to four decimal places )

Therefore, 20 kg is 44.0925 pounds

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The probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since the two tests are independent, we can use the multiplication rule for independent events to find the probability that both tests fail to detect the disease in someone who has it:

P(both tests fail) = P(test i fails) × P(test ii fails)

P(test i fails) = 0.30 (as given in the problem)

P(test ii fails) = 0.25 (as given in the problem)

Substituting the values, we get:

P(both tests fail) = 0.30 × 0.25

P(both tests fail) = 0.075

Therefore, the probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

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