A $2 coin with a diameter of 25. 75 mm. How many turns does such a piece make if you roll it on the edge for 1. 34 m?

Answer:

touchscreens

Step-by-step explanation:

You need this to interact with POS

Answer:

y=x+2

Step-by-step explanation:

In this picture ( step by step )

the problem shows a larger triangle that has been divided into two smaller ones, via a spliting of an acute angle into two different size angles one 52 degrees and the other one 31 degrees.

Notice as well that these two smaller triangles have two congruent sides :

AC = AB, and alsoa common side AD.

Then, we can say that the angle wich measures 52 degrees and opposes side BD (which measures 12) has a bigger opening than the angle 31 degrees, and bearing as well the same length of the sides that conform those angles, is definitely going to have a LARGER opposite side than angle 31 degrees.

Then we can write the following first inequality:

opposite side to 52 degrees > opposite side to 31 degrees, which in math expression using the sides measures, give:

12 > 2 x - 6

and we proceed to solve for x in the inequality

add 6 to both sides

12 + 6 > 2 x

divide by 2 both sides (notice that since 2 is positive, the division doesn't change the direction of the inequality)

18 / 2 > x

9 > x

which is the same as:

x < 9

So we have one of the endpoints.

For the other limit for the smaller side (to the left) we use the fact that for sure, the side opposed to 31 degrees angle must be larger than "0" (zero) independent of the lengths of sides AC and AD. So we write this and use the expression for side DC that they give us:

2 x - 6 > 0

add 6 to both sides

2 x > 6

divide both sides by positive 2

x > 6 / 2

x > 3

So, now we put together the conditions for the values we found for the minimum and maximum that x can reach:

3 < x < 9

Please, type these answers in the provided boxes.

The given statement "When the points on a normal probability plot lie approximately on a straight line, the data are approximately normally distributed" is true because a straight line pattern on a normal probability plot indicates that the data closely conforms to a normal distribution.

A normal probability plot, also known as a quantile-quantile (Q-Q) plot, is a graphical tool used to assess whether a dataset follows a normal distribution. It compares the observed data points to the expected values if the data were normally distributed.

In a normal probability plot, the x-axis represents the theoretical quantiles of a normal distribution, while the y-axis represents the observed quantiles from the dataset being analyzed. If the dataset is normally distributed, the points on the plot will approximately fall along a straight line.

When the points on a normal probability plot lie approximately on a straight line, it suggests that the data follows a normal distribution. The closer the points align to a straight line, the stronger the evidence for normality. Deviations from a straight line indicate departures from normality.

If the points on the plot deviate from a straight line, it indicates that the data does not follow a normal distribution. The direction and curvature of the deviations provide insights into the nature of the departure from normality. For example, if the points curve upwards or downwards, it suggests skewness in the data.

Therefore, the statement is true: when the points on a normal probability plot lie approximately on a straight line, it indicates that the data is approximately normally distributed.

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㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

The base-e logarithm of an integer x, where e is a mathematical constant roughly equal to 2.718, is the natural logarithm of that number. Instead of the expected abbreviated notation ㏒ex, it is typically written using ㏑x. A natural logarithm can be expressed in exponential form as follows:

㏑x=a⇒\(x=e^a\)

Natural logarithm, is like a normal logarithm it follows all the basic algebraic laws, like addition, subtraction, multiplication of logarithms.

The natural logarithm follows the same as common logarithms of base 10. That is, \(ln (ab) = ln a + ln b\); \(ln (\frac{a}{b} ) = lna-lnb\);  The natural logarithm and the common logarithm are related through

㏒₅x=\(\frac{logx}{log5}\);

\(\frac{logx}{log5} *\frac{lne}{lne} ;\\\frac{logx}{lne} *\frac{lne}{log5} ;\\\)

㏑x×(\(\frac{1}{ln5}\));

⇒\(\frac{lnx}{ln5}\).

㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

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C. size

because when things dilate they change in size but not shape, orientation or betweenness

Answer:

yes

Step-by-step explanation:

The interior angles of a triangle will always add up to 180. If you were to sub in 30 for b, which is what they're suggesting, you'll see that it adds up to 180. The same thing goes for if you subbed in 110 for a.

Out of the 20,000 athletes, 788 can be expected to test positive for drugs during the Olympics.

During the Olympics, all athletes must pass a mandatory drug test administered by the International Olympic Committee before they are permitted to compete. Assuming a 1% drug use rate among 20,000 athletes, we can expect about 200 athletes to actually use drugs (1% of 20,000). With a 97% accurate drug test, 3% of the test results will be inaccurate.
Out of the 200 athletes using drugs, 97% will test positive, which equals 194 athletes (0.97 * 200). However, there are also 19,800 athletes not using drugs (20,000 - 200). Out of these, 3% will falsely test positive, which equals 594 athletes (0.03 * 19,800).
Therefore, approximately 788 athletes (194 + 594) can be expected to test positive for drugs during the Olympics.

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approximately probability is 194 athletes can be expected to test positive for drugs out of a total of 20,000 athletes.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability was introduced in mathematics to predict how likely events are to occur.

To determine the approximate number of athletes expected to test positive for drugs out of a total of 20,000 athletes, we can calculate it based on the given accuracy rate of the drug test and the rate of drug use among athletes.

The rate of drug use among athletes is given as 1 athlete per 100, which can also be expressed as a probability of 1/100 or 0.01. This means that the probability of an athlete using drugs is 0.01.

The accuracy rate of the drug test is stated as 97%, which can be expressed as a probability of 0.97. This means that the probability of a drug test correctly identifying an athlete who is using drugs is 0.97

Now, we can calculate the expected number of athletes who will test positive for drugs using these probabilities.

Expected number of athletes testing positive = Total number of athletes * Probability of drug use * Probability of accurate drug test result

Expected number of athletes testing positive = 20,000 * 0.01 * 0.97

Expected number of athletes testing positive = 200 * 0.97

Expected number of athletes testing positive ≈ 194

Therefore, approximately probability is 194 athletes can be expected to test positive for drugs out of a total of 20,000 athletes.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Proportionality.

Since the ration of proportion is always 2/1 , hence,

==> Yes, x and y are in proportional relationship.

Step-by-step explanation:

hope it will help you

please reply is this helpful to you or not

Answer:

both ^^

Step-by-step explanation:

Answer:

Both

Step-by-step explanation:

(verified by khan academy)

Answer: $81.41

Step-by-step explanation:

29+ 6+ 0.42+ 35.99+ 10= $81.41

The perimeter of triangle XYZ is equal to √192 or 8√3units.

In triangle XYZ, the base and the height are neither vertical nor horizontal and as such the calculations will be different.

In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:

P = a + b + c

Where:

P represents the perimeter of a triangle.

a, b, and c represents the side lengths of a triangle.

Next, we would determine the distance between each of the coordinates of triangle XYZ;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance XY = √[(10 - 2)² + (9 - 5)²]

Distance XY = √(64 + 16)

Distance XY = √80 units.

Distance XZ = √[(6 - 2)² + (1 - 5)²]

Distance XZ = √(16 + 16)

Distance XZ = √32 units.

Distance YZ = √[(6 - 10)² + (1 - 9)²]

Distance YZ = √(16 + 64)

Distance YZ = √80 units.

Perimeter of triangle XYZ = XY + XZ + YZ

Perimeter of triangle XYZ = √80 units + √32 units + √80 units

Perimeter of triangle XYZ = √192 or 8√3units.

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Answer: 15, 17 and 19

Step-by-step explanation:

15 + 17 + 19 = 51

Answer:

There is no m

Step-by-step explanation:

15.75+320=335.75

Answer: 335.75

Step-by-step explanation:

15.75 + 3.2 * 100 because d = 100

The required value of variable "a" would be -8 which is determined by the   distributive property of multiplication,

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The equation is below which is given in the question,

4 = 2(-2 - a) + a

Apply the distributive property of multiplication,

4 = 2 × -2 - a × 2 + a

4 = - 4 - 2a + a

Rearrange the likewise terms and apply the arithmetic operation,

- 2a + a = 4 + 4

- a = 8

Multiply by the (-) sign on both sides to get the answer,

a = -8

Hence, the required value of variable "a" is -8.

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A one-sample t-test was conducted to determine if the temperature increased in the first week of October 2019 compared to the average temperature from the previous 10 years. The result showed a p-value of 0.032, indicating a significant increase in temperature.

To determine if there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years, we can conduct a one-sample t-test with a null hypothesis that the population mean temperature this year is equal to the average temperature data from the previous 10 years (75) and an alternative hypothesis that the population mean temperature this year is greater than 75.

Using a statistical software, the calculated t-value is 2.17 with a corresponding p-value of 0.032. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years. The p-value of 0.032 indicates that the probability of observing a sample mean temperature as extreme as 79.29 (the calculated sample mean temperature this year) or greater, assuming that the population mean temperature is equal to 75, is 0.032.

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Answer:

612 I'm pretty sure.

Hope this helps!

Narancia out~!

Answer:

B

Step-by-step explanation:

pls mark brainliest

Answer:

its B)-9

Explain-9,-2,5,12 its increasing by seven

If the sales for a particular day were $4026 and the high temperature was 34∘C, then the residual value is equals to the 4022.06.

Residual value for a best fit line equation is defined as the difference between actual value and observed or predicted value. We have a best fit line for the relationship between average daily sales and the high temperature for the day. The equation is written as y = 0.21x −3.2 --(1)

where y --> average daily sales in 1000s of dollars,

x --> high temperature for the day in ° C

When sales on particular day, y = 4026 then the highest temperature x = 34°C.

We have to determine residual value. From above definiation, Residual= actual value of y - observed value of y

Now, actual value of y = $4026 and to determine the observed value of y , plug x = 34 in equation(1), y = 0.21x −3.2

=> y = 0.21× 34 − 3.2

=> y = 7.14 - 3.2

=> y = 3.94

residual = 4026 - 3.94 = $4022.06

Hence, the required value of residual is 4022.06.

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1. The function f(x) = (x+5)(x-9) in standard form is x²-4x-45.

2. The function f(x) = (x+4)² in standard form is x²+8x+16.

3. The function f(x) = (x+2)²-25 in standard form is x²+4x-21.

4. The function f(x) = 4(x-2)² in standard form is 4x²-16x+16.

5. The function f(x) = 6(2x+1)² in standard form is 24x²+24x+6.

6. The function f(x) = 3(x+4)(x-5) in standard form is 3x²-3x-60.

7. The function f(x) = (x+10)²-100 in standard form is x²+20x.

8. The function f(x) = 9-(x+1)² in standard form is -x²-2x-8.

9. The function f(x) = 2(x+5)²+10 in standard form is 2x²+20x+60.

What is the standard form?

A linear equation can also be written in standard form, slope intercept form, and point slope form.

The formula for standard form is Ax+By=C.

The first function is y = f(x) = (x+5)(x-9).

Simplifying the equation -

f(x) = (x+5)(x-9)

x(x-9)+5(x-9)

x²-9x+5x-45

x²-4x-45

Therefore, the standard form is x²-4x-45.

The second function is y = f(x) = (x+4)².

Simplifying the equation -

f(x) = (x+4)²

Follow the formula - (a+b)² = (a²+2ab+b²)

(x)²+2(x)(4)+(4)²

x²+8x+16

Therefore, the standard form is x²+8x+16.

The third function is y = f(x) = (x+2)²-25.

Simplifying the equation -

f(x) = (x+2)²-25

Follow the formula - (a+b)² = (a²+2ab+b²)

[(x)²+2(x)(2)+(2)²]-25

x²+4x+4-25

x²+4x-21

Therefore, the standard form is x²+4x-21.

The fourth function is y = f(x) = 4(x-2)².

Simplifying the equation -

f(x) = 4(x-2)²

Follow the formula - (a-b)² = (a²-2ab+b²)

4[(x)²-2(x)(2)+(2)²]

4[x²-4x+4]

4x²-16x+16

Therefore, the standard form is 4x²-16x+16.

The fifth function is y = f(x) = 6(2x+1)².

Simplifying the equation -

f(x) = 6(2x+1)²

Follow the formula - (a+b)² = (a²+2ab+b²)

6[(2x)²+2(2x)(1)+(1)²]

6[4x²+4x+1]

24x²+24x+6

Therefore, the standard form is 24x²+24x+6.

The sixth function is y = f(x) = 3(x+4)(x-5).

Simplifying the equation -

f(x) = 3(x+4)(x-5)

3[x(x-5)+4(x-5)]

3[x²-5x+4x-20]

3[x²-x-20]

3x²-3x-60

Therefore, the standard form is 3x²-3x-60.

The seventh function is y = f(x) = (x+10)²-100.

Simplifying the equation -

f(x) = (x+10)²-100

Follow the formula - (a+b)² = (a²+2ab+b²)

[(x)²+2(x)(10)+(10)²]-100

x²+20x+100-100

x²+20x

Therefore, the standard form is x²+20x.

The eighth function is y = f(x) = 9-(x+1)².

Simplifying the equation -

f(x) = 9-(x+1)²

Follow the formula - (a+b)² = (a²+2ab+b²)

9-[(x)²+2(x)(1)+(1)²]

9-x²-2x-1

-x²-2x-8

Therefore, the standard form is -x²-2x-8.

The ninth function is y = f(x) = 2(x+5)²+10.

Simplifying the equation -

f(x) = 2(x+5)²+10

Follow the formula - (a+b)² = (a²+2ab+b²)

2[(x)²+2(x)(5)+(5)²]+10

2[x²+10x+25]+10

2x²+20x+50+10

2x²+20x+60

Therefore, the standard form is 2x²+20x+60.

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The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

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The student is seeking assistance with their homework and requires clarification or help understanding a concept. They express the need for assistance and emphasize importance of the homework for their grade.

It is understandable to encounter challenges or confusion while working on homework assignments. It is essential to seek clarification and assistance to ensure a clear understanding of the topic and complete the assignment accurately. Seeking help from a teacher, tutor, or classmates can provide valuable guidance and support.

Explaining the specific concept or problem in detail to the person assisting you can help them provide targeted explanations and guidance. Remember that asking for help is an important part of the learning process and can contribute to better comprehension and improved grades. #

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The equation 6(x + 5) = 6x + 5 has NS (No Solution) and the equation -4x = 7x - 33 has IM (Infinite Many solutions).

Let us take the given equation

6(x + 5) = 6x + 5

⇒ 6x + 30 = 6x + 5

⇒ 6x - 6x = 5 - 30

⇒ 0 = -25

Hence, the given equation has No Solution (NS)

Let us take the given equation

-4x = 7x - 33

-4x - 7x = -33

-11x = -33

x = 3

Hence, the given equations has Infinite Many solutions (IM)

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C.

Step-by-step explanation:

To calculate the total distance Tyson traveled, we need to use the formula: distance = speed x time. First, we calculate the distance traveled during the first segment at 60 mph for 1.5 hours: distance = 60 x 1.5 = 90 miles. Then, we calculate the distance traveled during the second segment at 70 mph for 2.5 hours: distance = 70 x 2.5 = 175 miles. Adding these two distances together, we get: 90 + 175 = 265 miles. Therefore, the answer is C, 265 miles.

Answer:

DE = 15

DF = 23

Step-by-step explanation:

E___D___F

EF = DE + DF

38 = (3x +9) + (12x-1)

38 = 15x + 8

15x = 38 - 8

15x = 30

x = 30/15

x = 2

DE = 3x + 9 = 3(2) + 9 = 6 + 9 = 15

DF = 12x - 1 = 12(2) - 1 = 24 - 1 = 23

I hope I helped you^_^

The value of DE and DF is 15 and 23.

Given,

Point D is between Points E and F.

DE = 3x + 9

DF = 12x - 1

EF = 38.

We need to find DE and DF.

The sum of the parts separated by the point between two points is equal to the whole length of the line

Example:

A_____B_____C

AC = AB + BC

We have,

Point D is between Points E and F.

E_____D______F

DE = 3x + 9

DF = 12x - 1

EF = 38.

We get,

EF = DE + DF

38 = 3x + 9 + 12x - 1

38 = 15x + 8

38 - 8 = 15x

15x = 30

x = 30/15

x = 2

Now,

DE

= 3x + 9

= 3 x 2 + 9

= 6 + 9

= 15

DF

= 12x - 1

= 12 x 2 -1

= 24 - 1

= 23

Thus the value of DE and DF is 15 and 23.

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Answer:

x=y-4

Step-by-step explanation:

If Samir has skated y laps around the rink, then Kai has skated y - 4 laps around the rink.

So the expression that shows how many laps Kai has skated around the rink is: x=y-4

Answer:

Step-by-step explanation: patience. wyd here.

but the answer is x=y-4

A=68,B=44

the interior angle of triangle is 180

A+B+C=180

x+x-24+68=180

2x+44=180

2x=180-44

2x=136

x=68

A=x=68

B=68-24=44

The distance between 1.5 and any point,n,on a number line is |1.5 - n|

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

Points = n and 1.5

The distance between these points is the absolute difference between them

This is represented with the following equation

Distance = |1.5 - n|

Hence, the distance is |1.5 - n|

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Answer:

To convert from a percent to a decimal, divide by 100 (and remove the "%" sign). To convert from a percentage to a decimal, divide by 100 (and remove the "%" sign).

Step-by-step explanation:

To write a percent as a decimal,  divide by 100 and remove the %