A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.

Answer:

The answer is -20 .

Step-by-step explanation:

You have to substitute x = -4 into the function :

\(f(x) = 3x - 8\)

\(f( - 4) = 3( - 4) - 8\)

\(f( - 4) = - 20\)

Answer:

Step-by-step explanation:

f(x) = 3x - 8

f(-4) = 3*(-4) - 8

f(-4)  = -12 - 8

f(-4) = - 20

-20 is what goes in the box.

Answer:

AC=5

in a basic right triangle the small side is always one shorter than the big side which is always one smaller than the hypotenuse.

Hello!

Answer:

d=2r

Step-by-step explanation:

Simplify both sides and isolate the variable.

Hope this helps!

Answer:  D = 2r

Step-by-step explanation:

Answer:

(x+3)^2 + (y-4)^2 = 64

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2  where ( h-k) is the center and r is the radius

(x--3)^2 + (y-4)^2 = 8^2

(x+3)^2 + (y-4)^2 = 64

Answer:

able to be believed; convincing. hope this helped

Answer and Step-by-step explanation:

I'm not sure what was in the video, but I do know what this word means.

I would say that usually something that is credible is typically something like an ad. Usually in ads people to to convince and persuade someone to buy or do something that will promote something to happen, usually by buying a company's product.

When evaluating a source, it is important to look for things that indicate whether or not a source is something persuasive, and who the audience of this source is for. For example, if most of a source is opinionated, then it is probably a credible source that is trying to make you buy something.

So, if you are researching an article or information topic, it is important to look for the clues of a source being credible, as I mentioned above.

Once more, I'm not too sure what was in the video, but I hope this helps.

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Answer:

68 inches

Step-by-step explanation:

y = x + 2

x = 66

y = 66 + 2

y = 68

Answer:

2 3/4

Step-by-step explanation:

So area is just base X height

3 X 11/12

2 3/4

Question:

Which operation should be performed first to simplify the expression below?19-2×8÷4+6

Answer:

I'm pretty sure you multiply first because PEMDAS  (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) says you go left to right and do multiplication or division first, so I would say it'd be multiplication.

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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We have a two-tailed test, as we are testing if the mean is different of a value.

The t-distribution is used, as we have the standard deviation for the sample, and the parameters are given as follows:

Using a t-distribution calculator, the critical value is of:

t = ± 1.7109.

The equation for the test statistic is defined as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In the context of this problem, the values of these parameters are of:

\(\overline{x} = -34.3, \mu = 0, s = 42.9, n = 25\)

Hence the value of the test statistic is of:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{-34.3 - 0}{\frac{42.9}{\sqrt{25}}}\)

t = -4.

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The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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Answer:

sorry we don't know this

Step-by-step explanation:

Answer:To calculate the area of a trapezium, we need the lengths of its parallel sides (the bases) and the distance between them (the height). Given that the trapezium is not to scale, we assume the 10 cm, 9 cm, and 8 cm measurements refer to the lengths of the three sides.

Let's label the trapezium as ABCD, where AB is the longer base, CD is the shorter base, and AD and BC are the non-parallel sides.

Given:

AB = 10 cm (longer base)

CD = 8 cm (shorter base)

AD = 9 cm (non-parallel side)

To calculate the area of the trapezium, we can use the formula:

Area = (1/2) * (AB + CD) * height

However, the height is not given directly. We can calculate it using the Pythagorean theorem by considering triangle ADB.

Using the Pythagorean theorem, we have:

AD^2 = AB^2 - BD^2

Rearranging the equation to solve for BD:

BD^2 = AB^2 - AD^2

BD^2 = 10^2 - 9^2

BD^2 = 100 - 81

BD^2 = 19

BD = √19 cm (approx.)

Now that we have BD, we can use it as the height of the trapezium.

Area = (1/2) * (AB + CD) * height

Area = (1/2) * (10 + 8) * √19

Area = (1/2) * 18 * √19

Area = 9 * √19 cm² (approx.)

Therefore, the area of the trapezium is approximately 9√19 cm².

Step-by-step explanation:

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

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Using linear functions, it is found that:

A. The costs will be the same when 250 shirts are bought.

B. The Tees-4-U Company would charge them less.

C. They are saving $350 by going with the more economical company.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For the cost functions in the context of this problem, we have that:

Hence the functions for the cost of buying x shirts are given as follows:

The costs will be the same when:

C(x) = T(x)

Hence:

6.5x = 250 + 5.5x

x = 250

For item b, the costs are given as follows:

The amount saved in item c is:

3900 - 3550 = 350.

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Answer:

60 degress

Step-by-step explanation:

5 x 12

Answer:60 degress

Step-by-step explanation:

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=\( \frac{a²+c²-b²}{2ac} \)

Cos B=\( \frac{42.51²+20²-30²}{2*42.51*20} \)

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

___________________________________

\(\quad\quad\quad\quad\tt{ \angle{A = 115° }}\)

\( \tt{\overline{A}²=b²+c²-2bc \cos( \angle{a}) }\)

\( \tt{\overline{A}²=(30)²+(20)²-2(30)(20) \cos( \angle{115°}) }\)

\( \tt{\overline{A}²=900+400-2(600) \cos( \angle{115°}) }\)

\( \tt{\overline{A}²=1300-1200 \cos( \angle{115°}) }\)

\( \tt{\overline{A} ²=1807.1419}\)

\( \tt{\overline{A}= \sqrt{ 1807.1419}}\)

\( \pink {\boxed{ \tt{ \overline{A}=42.51}}}\)

\( \tt{ cos\;B = \frac{ {a}^{2} + {c}^{2} - {b}^{2} }{2ac} }\)

\( \tt{ cos\:B = \frac{ {42.51}^{2} + {20}^{2} - {30}^{2} }{2(42.51)(20)} }\)

\( \tt{ cos\:B = 0.7687}\)

\( \tt{ \angle{B} = { \cos}^{ - 1} (0.7687)}\)

\(\pink{\boxed{\tt{ \angle{B} = {39.46°}}}}\)

___________________________________

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✍︎ C.Rose❀

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

19 is the answer

Step-by-step explanation:

Answer:

29 Degrees

Step-by-step explanation:

As you know the total degrees is 82, all you have to do is subtract 82 from 53 to give you 29.

One giga-meter can be written as \(10^9\) meters.

Affixes, οr mοrphemes added tο a base wοrd tο mοdify its meaning, include prefixes and suffixes amοng their types. Adding suffixes tο the end οf a wοrd is mοre cοmmοn than adding prefixes tο the beginning.

Althοugh sοme, like heter- and megal-, are three syllables lοng, the majοrity οf prefixes and suffixes in English are typically οne οr twο.

Nο matter what base wοrd a prefix is attached tο, its meaning is always the same. Fοr instance, the prefix are- always denοtes "tο dο sοmething again"; when it appears in the wοrd reread, it means "tο read again," and when it appears in the wοrd rebuild, it denοtes "tο build again."

The prefix giga represents 1,000,000,000, which can be written as \(10^9\) in terms οf pοwers οf ten.

Therefοre, οne giga-meter can be written as 10^9 meters.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).