Round 3.892 to the nearest tenth

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Answer:

Heather: 29

Deon: 20

Trey: 60

Step-by-step explanation:

Heather: x

Deon: x - 9

Trey: 3(x-9)

x + x-9 + 3(x-9) = 109

5x - 36 = 109

x = 29

Step-by-step explanation:

similar by AA

that is the answer

Answer:

The mean is  \(\= x  = 79.7 \)

The standard deviation  \(\sigma =7.81\)

Step-by-step explanation:

From the question we are told that

  The data given is  

Temperature                Lower Limit           Upper Limit               Days

50-59                               50                             59                          2

60-69                                 60                            69                        313

70-79                                  70                           79                          1419

80-89                                   80                          89                         1503

90-99                                   90                          99                          319

100-109                                100                         109                         9        

Generally the average of each limit is evaluated as

Temperature    Lower Limit   Upper Limit         Average\((x_i)\)                    Days\((f_i)\)

50-59                 50                   59              ( 50 + 59 )/2 =54.5                 2

60-69                 60                   69              (60+69)/2 = 64.5                    313

70-79                 70                    79               (70+79)/2 =74.5                    1419

80-89                 80                   89                (80+89)/2 =84.5                  1503

90-99                 90                   99                 (90+99)/2 = 94.5                319

100-109             100                  109                 (100+109)/2 = 104.5            9  

Generally the mean is  evaluated as

     \(\mu  =  \frac{\sum x_i f_i}{\sum f_i}\)

=>  \(\mu  =  \frac{ (54.5 * 2) + (64.5 * 313) +\cdots +(104.5 *  9)}{2 + 313 +\cdots + 9}\)

=> \(\= x  = 79.7 \)

Generally the standard deviation  is  evaluated as

    \(\sigma = \sqrt{ \frac{\sum[ f_i * ( x_i^2 - \= x^2)] }{\sum f_i}}\)

=>   \(\sigma =\sqrt{ \frac{[2 * [(54.5)^2) - 79.7^2 ]]+[313 *[ (64.5)^2)-79.7^2] +\cdots +[9 *[ (104.5)^2)- 79.7^2]  }{2 + 313 +\cdots + 9}}\)

=>  \(\sigma =7.81\)

The mean and Standard deviation for the given data would be as follows:

μ \(= 79.7\)

б \(= 7.81\)

Given that,

Temperature       Lower Limit           Upper Limit             Days(\(f_{i}\))

50-59                       50                           59                          2

60-69                       60                           69                         313

70-79                         70                           79                          1419

80-89                        80                          89                          1503

90-99                        90                          99                           319

100-109                    100                         109                            9  

Average(\(x_{i}\))    

\(( 50 + 59 )/2 =54.5\)

\((60+69)/2 = 64.5\)

\((70+79)/2 =74.5\)

\((80+89)/2 =84.5\)

\((90+99)/2 = 94.5\)

\((100+109)/2 = 104.5\)

As we know,

Mean (μ) \(=\) ∑\((x_{i} f_{i}) /\)∑\(f_{i}\)

\(= [(54.5\) × \(2) + (64.5\) ×\(313)+....(104.5\)× \(9)]\)\(/(2 + 313 + 1419 + ....9)\)

∵ μ \(= 79.7\)

As we know,

Standard Deviation:-

\(\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{f_{i} }}}\)

by putting the values, we get

∵ б \(= 7.81\)

Thus, μ \(= 79.7\) and б \(= 7.81\) are the correct answers.

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Answer:

24/7

Step-by-step explanation:

tan 2t =+ 2 tan t) /( 1 - tan²t)

(2(-4/3))/(1- 16/9)

(-8/3)/(-7/9) = 24/7

Answer:

90 + 2 = 92

180 - 92 = 88

Angle Q = 88

Step-by-step explanation:

All a triangles, angles should equal to 180.

Answer:

180 = 3 x + 90

Step-by-step explanation:

Hope it helps.Give me a brainliest please.

a. The PDF for battery life when the primary use is talk time is f(x) = 0.05e^(-0.05x)

b. The probability that the battery charge will last no more than 15 hours when the primary use is talk time is 0.393

c. The probability that the battery charge will last more than 20 hours when the primary use is talk time is 0.4493

d. The probability that the battery charge will last no more than 5 hours when the primary use is Internet applications is 0.3935

a. The probability density function (PDF) for battery life when the primary use is talk time can be modeled using the exponential distribution, given by

f(x) = λe^(-λx)

where λ is the rate parameter, which can be calculated as the reciprocal of the mean battery life. Since the mean battery life is 20 hours, λ = 1/20 = 0.05. Therefore, the PDF for talk time battery life is

f(x) = 0.05e^(-0.05x)

b. To find the probability that the battery charge will last no more than 15 hours when its primary use is talk time, we need to calculate the cumulative distribution function (CDF) and evaluate it at x = 15

F(x) = ∫[0,x] f(t) dt

F(15) = ∫[0,15] 0.05e^(-0.05t) dt ≈ 0.393

Therefore, the probability that the battery charge will last no more than 15 hours when its primary use is talk time is 0.393, or 39.3%.

c. To find the probability that the battery charge will last more than 20 hours when its primary use is talk time, we need to subtract the probability that it will last no more than 20 hours from 1

P(X > 20) = 1 - P(X ≤ 20) = 1 - F(20)

where F(x) is the CDF of the battery life distribution. From part b, we know that F(15) ≈ 0.393, so we can use this value to calculate F(20)

F(20) = ∫[0,20] 0.05e^(-0.05t) dt ≈ 0.5507

Therefore, P(X > 20) ≈ 1 - 0.5507 ≈ 0.4493, or 44.9%.

d. The PDF for battery life when the phone is primarily used for Internet applications can also be modeled using the exponential distribution. From the problem statement, we know that the mean battery life for this use is 7 hours, so the rate parameter is λ = 1/7 = 0.1429. Therefore, the PDF for Internet use battery life is

f(x) = 0.1429e^(-0.1429x)

To find the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications, we can calculate the CDF

F(x) = ∫[0,x] f(t) dt

F(5) = ∫[0,5] 0.1429e^(-0.1429t) dt ≈ 0.3935

Therefore, the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications is 0.3935

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

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

Now , the value of x > 3

So , the value of f ( x ) = f ( a )

And , when x > 3

f ( 4 ) = 1 / ( 4 + 2 )

f ( 4 ) = 1 / 6

Hence , the function is f ( 4 ) = 1 / 6

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The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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Statistics describes the examination of events subject to probability. Choices are therefore 6 and 3.

How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out.

Statistics describes the examination of events subject to probability.

a) Six options

(b) 3 Options

Given:

(3) Colors

Red, Blue, and Green are the options.

(a) The choices that were considered in the following order:

There are three color options when choosing the first hue.

There are two options when choosing the second color, and so on.

As a result, there are a total of = 3*2 = 6 options.

(b) The order of the options not taken into account:

When selecting this option, we decide on 3*2 and then eliminate duplicates.

Choices are therefore 6/2=3 Choices.

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Answer:

12

Step-by-step explanation:

Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.

The one-way communication time between the Jupiter and Earth increases.

Radio waves are a type of electromagnetic radiation with the longest wavelengths in the electromagnetic spectrum, typically with frequencies of 300 Ghz and below.

Given is that Jupiter and Earth travel along their respective orbits.

As the Jupiter and Earth travel along their respective orbits, they start to get apart from each other. This leads to an increase in one-way communication time.

Therefore, the one-way communication time increases as the Jupiter and Earth travel along their respective orbits.

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Answer:

For each coin he has 6 dimes, 12 quarters, and 9 pennies.

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer:

4. D  

A: -25.5=a

B: b=-4

C: c=12

D: d=8

Step-by-step explanation:

4.Between a and d they are the 2 bigger values but D was the greatest out of all of them. - divided by a - will result as a positive and 7/9=0.77 and 19/12 *I looked for the least common factor and multiplied numerator and denominator to 12 depending on the denominators value. Ex: since one of my denominators was 4, I multiply the whole fraction by 3 to get 9/12 and the other was 5/6 times 2 is 10/12 and just add 10/12 by 9/12 which is 19/12.

5.

A: All I did was multiply 8.5 and -3 and get -25.5=a.

B: I add 7 on both sides of the equation and -7 and 7 get canceled off and -11+7=-4. b=4.

C: I multiplied - to -3 and got 3, now I can subtract -3 on both sides. 15-3=12 so c=12.

D. I had to divide by 4 on both sides to get d by itself. 32/4=8 so final answer would be d=8.

Answer:

You could use rate reasoning because, one day is 405 miles traveled. It is  3,272 miles from Sacramento to Key West, and when you use rate reasoning, you can tell that it will take about 8 days from Sacramento to Key West (3 more days if your counting the 5 days that they have already traveled)

Hope this helps

The steps to sketch the graph of a rational function in the appropriate order is in the order: 1,4,2,3

The steps to sketch the graph of a rational function will be first to find the function's zeros and vertical asymptotes, and plot them on a number line, the second step is to choose test numbers to t the left and right of each of these places, and find the value of the function at each test number., the third step is to use test numbers to find where the function is a positive and where it is negative and the last step is to sketch the function's graph, plotting additional points as guides as negative.

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Place the steps to sketch the graph of a rational function in the appropriate order.

1)find the function's zeros and vertical asymptotes, and plot them on a number line.

2) use test numbers to find where the function is positive and where it is negative.

3) sketch the function's graph, plotting additional points as guides as negative.

4)choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.​

Answer:

If tenths then 0.1. If tens then 10.

Step-by-step explanation:

Answer:

it is invertible

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

Answer:

500$

Step-by-step explanation:

The given system of equations has no solution.

Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,

We know for a system of equations =

a₁x + b₁y = c₁ and a₂x + b₂y = c₂

If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.

If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.

If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.

comparing the coefficients given,

-12/12 = -1

-36/36 = -1

-3/0 = -3

We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.

Hence the given system of equations has no solution.

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Answer:

b

Step-by-step explanation:

around 500 people travel more than just 30 miles to work, sum even travel across the states

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:-3x - 12 + 5x

Step-by-step explanation:

Answer: $49

Step-by-step explanation: if there are 7 days in a week and he is saving for 7 weeks, its 7 x 7= 49

Answer:

64$ if he doinles

Step-by-step explanation:

1,2,4,8,16,32,64