The life (in months) of a certain electronic computer part has a probability density function defined by 1 f(t) = 2² e for tin [0, 00). Find the probability that a randomly selected component will la

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 4y = - 40 ( subtract 5x from both sides )

4y = - 5x - 40 ( divide all terms by 4 )

y = - \(\frac{5}{4}\) x - 10 ← in slope- intercept form

with y- intercept c = - 10 ⇒ (0, - 10 ) → B

Step-by-step explanation:

To find the y intercept of the line we must first write the equation in standard form which is

y = mx + c

where

m is the slope

c is the y intercept

So we have

5x + 4y = - 40

4y = -5x - 40

Divide both sides by 4

We have the equation as

\(y = - \frac{5}{4} x - 10\)

From the question the y intercept is - 10

We have the final answer as

Hope this helps you

An example of a rational expression is 2x+3/x-2.

The complete question wasn't found. Therefore, a overview will be given. It should be noted that a rational expression simply means quotient of two polynomials.

A rational expression is a fraction whose numerator and denominator are polynomials.

In this case, an example of a rational expression is 2x+3/x-2

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Answer:

27

Step-by-step explanation:

I broke the figure up into 3 rectangles.

5x2 = 10

2x3 = 6

4x5 = 20

This adds to 36.  Then subtract out the green square of 9

36 - 9 = 27

Answer:

Number of Activity books = 8

Number of Storybooks = 5

Explanation:

Let x represent the number of activity books.

Let y represent the number of storybooks.

Let's go ahead and set up our equations as follows;

From equation 1, we can see that x = 13 - y

Let's go ahead and substitute the value of x into equation 2 and solve for y;

Since y = 5, let's substitute the value of y into equation 1 and solve for x;

To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.

This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.

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The first and fourth functions agrees that have  y-intercepts have a difference of 3 and the slopes are both negative.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Let us find the slope of first graph

m=-3+2/2=-1

-1=-1(-2)+b

-1=2+b

b=-3

The first function is y=-1x-3

Second function is y=4x-6

Third function is y=4x-1

The fourth function is y=-3x-3

Hence, the first and fourth functions agrees that have  y-intercepts have a difference of 3 and the slopes are both negative.

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Answer:

Opposite angles are equal, all add to 360:

10x-7=83

10x=90

X=9

Z = (360-(83*2))

Z = 97

Answer:

Inches

Step-by-step explanation:

Answer: The correct answer is inches because radius and Diameter are always given in a single form unit of measure.

Inches units represents the diameter of the circle.

Please mark brainliest

Hope this helps.

Answer: D

Step-by-step explanation:

typically if something is added on the outside it affects they y, which means it goes up or down

if something is added to the x its left or right

since -5 is on outside shift down.

Hi there!

The answer is →\(15 \sqrt{3}\)←

(Check the attached image for the explanation)

Answer:

3 percent

Step-by-step explanation:

562-550=12divided 4=3

Explanation:

The x coordinates are the same, so we subtract the y coordinates

7-1 = 6

This shows the points have a distance of 6 units. You can plot the two points and count the numbers of spaces between them to confirm this.

Answer:

irrational number

Step-by-step explanation:

An irrational number cannot be written as a ratio of two integers

The determinant of A is 1.

The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them.

The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively.

A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.

We can compute the determinant of the 2x2 matrix A =

| 1 0 |

| 1 1 |

by expanding along the first column since it involves the least amount of computation:

| 1 0 |

| 1 1 |

det(A) = 1 * |1 1| - 0 * |1 1|

= 1

So, the determinant of A is 1.

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Complete question:

Compute the determinant by cofactor expansion. At each? step, choose a row or column that involves the least amount of computation.

Answer:

x = 61°

Step-by-step explanation:

x = 180 - (37 + 82)

Angles in a triangle add up to 180°.

x = 180 - 119

x = 61°

The total thickness of Jada's pile of books was 12 inches.

A graph form used to display numerical data is a line plot, commonly referred to as a dot plot. Each data point in a line plot is represented by a dot that is positioned above a number line. Dots that indicate the same value are piled vertically and put above the appropriate value on the number line.

Little to intermediate sized data sets may be displayed using line plots, which enable us to rapidly observe the data's distribution, including its range, frequency, and any outliers.

Two data points on the line plot indicate a set of books that were each one and a half inches thick, indicating that there were two of such types of books.

Four data points on the line plot indicate a set of books that were each 2 1/4 inches thick, indicating that there were four of such types of books.

Total thickness = (2 x 1 1/2) + (4 x 2 1/4)

= 3 + 9

= 12 inches

Hence, the total thickness of Jada's pile of books was 12 inches.

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Answer:

Step-by-step explanation:

Since we have been given that

Ari has 3 ounces of caramel for each 5 scoops of frozen yogurt .

Freeze Zone makes bunches of milkshakes with 6 ounces of caramel and 8 scoops of frozen yogurt.

As per Ari,

For each 5 scoops of frozen yogurt, he wants 3 ounces of caramel

For each 1 scoop of frozen yogurt, he wants

3 ounces of Caramel

For each 8 scoops of frozen yogurt, he wants

3/5 * 8 = 24/5= 4.8 ounces

In this way, Ari considers sum caramel is something else for ideal milkshake as there is just requirement for 4.8 ounces of caramel however Freeze Zone is utilizing 6 ounces of caramel.

Answer:

Step-by-step explanation:

5456

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x +4 -6x +4

10x = 10

x = 1

A = (-7,-6)

B = (8,-9)

Find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (-9-(-6))/(8-(-7))

m = (-9+6)/(8+7)

m = -3/15

m = -1/5

The slope of line AB is -1/5.

Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.

Let m = 5.

Use the coordinates of point C (2,12) along with the perpendicular slope to get

y - y1 = m(x - x1)

y - 12 = 5(x - 2)

y - 12 = 5x - 10

y = 5x - 10+12

y = 5x + 2

Lastly, convert this to standard form

y = 5x + 2

5x+2 = y

5x+2-y = 0

5x-y = -2

Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.

Answer:

5x - y = -2.

Step-by-step explanation:

The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.

The slope of line AB = (-9 - (-6)) / (8 - (-7))

= -3/15

= -1/5

So the slope  of the required line = -1 / -1/5 = 5.

Using the point C and the point-slope form of a line:

y - y1 = m(x - x1)

y - 12 =  5(x - 2)

y - 5x = -10 + 12

y - 5x = 2

5x - y = -2.

Answer:

-3

Step-by-step explanation:

5*3=15

15-18= -3

Answer: the first option

Step-by-step explanation:

If y=2x+4 and y also equals 3x+1, then by the transitive property, 2x+4=3x+1

It’s like saying if a=b and b=c, then a=c (that’s the transitive property)

The statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true.

Let's dive into the main answer and include the rest of the requirements.

Contour lines are also known as isolines, which are lines that link points of equal elevation or height. They show the height and shape of the terrain on a topographic map and are drawn at equal intervals above sea level.

The closer the contour lines are to one another, the steeper the terrain is. On the other hand, the farther apart they are, the flatter the terrain is.

Contour lines are used in cartography, which is the art and science of map-making. They are used to create topographic maps, which depict the physical features of the earth's surface in detail, such as hills, valleys, rivers, lakes, and so on.

To create a contour map, surveyors begin by taking precise measurements of the elevation or height of the land at various points using a device known as a theodolite.

They then connect the dots or points with contour lines, which are drawn at equal intervals above sea level.A contour interval is the vertical distance between two adjacent contour lines.

The contour interval on a map is determined by the scale of the map and the degree of accuracy required. For example, a map of a mountainous region might have a contour interval of 50 feet or less, whereas a map of a flat region might have a contour interval of 200 feet or more.

A key or legend on the map explains the meaning of the contour lines and their intervals.

Therefore, the statement "lines drawn at intervals to designate the respective heights of each line above sea level are called contour lines" is true. Contour lines are an essential component of topographic maps, which depict the physical features of the earth's surface in detail.

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The equation that matches the number of bacteria in the population after 3 hours is y = 100(2)³.

What is an exponential function?

A mathematical function with the form f (x) = aˣ is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Here, we have

Given: In a lab experiment, a population of 100 bacteria is able to double every hour.

We have to find the equation that matches the number of bacteria in the population after 3 years.

The equation for the number of bacteria after 2 hours is y = 100(2)³, where y is the number of bacteria and 300 is the initial number of bacteria.

This equation calculates the number of bacteria in the population after 2 hours by multiplying the initial number of bacteria by 2 raised to the power of the number of hours the bacteria has been doubling, or 2³ in this case.

Hence, The equation that matches the number of bacteria in the population after 3 hours is y = 100(2)³.

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The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.

To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.

Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:

µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)

σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)

Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:

\(P(x) = C(n, x) * p^x * (1 - p)^{n - x}\)

Substituting the values, we have:

\(P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}\)

Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).

Finally, if we want to calculate the z-score for a given value of x, we can use the formula:

z = (x - µ) / σ

For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).

In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.

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Answer:

the answer = 2,020,500,900

Answer:

The answer is A. 1 - 15

Step-by-step explanation:

An expression is a mathematical phrase that contains terms and operations but no equal sign.

Answer:

70.4*

Step-by-step explanation:

Supplementary angles add up to 180*. This means that we must take 109.6 and try to find a number to add up to 180. We do the equation

180-109.6=70.4 therefore, the answer is 70.4*

Answer: 70.4

Step-by-step explanation: i took the test and got it right

the value of the given integral is $$\int (x^2 - 1)(-6 \ln x)dx=-2x^3 ln(x) + 2x^3 - 3x^2 + C$$, where C is the constant of integration.

To evaluate the integral, ∫(x2 - 1) [-6ln(x)] dx we will use integration by parts as follows:

Let u = ln(x) and dv = (x2 - 1)dx,

Then, du/dx = 1/x and v = (x3/3) - x

Integrating the expression of dv, we get the value of v as follows:

$$v=\int(x^2-1)dx$$$$v=\int x^2 dx-\int 1dx$$$$v=\frac{x^3}{3}-x$$

Using integration by parts formula, we have:∫u dv = uv - ∫v du

On substituting the corresponding values, we get:

$$\int (x^2 - 1)(-6 \ln x)dx=-6\int u dv$$$$= -6uv + 6 \int v du$$

Using this formula, we get:$$=-6ln(x)\bigg[\frac{x^3}{3}-x\bigg] + 6\int \bigg[\frac{x^3}{3}-x\bigg]\frac{1}{x}dx$$

On simplifying the expression, we get:$$=-2x^3 ln(x) + 6\int x^2 dx - 6\int x dx$$$$=-2x^3 ln(x) + 2x^3 - 3x^2 + C$$

Therefore, the value of the given integral is $$\int (x^2 - 1)(-6 \ln x)dx=-2x^3 ln(x) + 2x^3 - 3x^2 + C$$, where C is the constant of integration.

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