Find the value of x that will make A||B 4x 3x+10 x=

Answers

Answer 1

Answer:

Answer:

4x 3x+10 x= 10

Step-by-step explanation:

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HELP !!!!!!!!!!!!!!!!!!!!!!

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) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station

Answers

Complete Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that an enemy plane flying over will be detected by at least one station?

(b) If seven stations are in use, what is the expected number of stations that will detect an enemy plane? (Round your answer to one decimal place.)

Answer:

$n \approx 4$

Step-by-step explanation:

From the question we are told that

The probability that a single radar station will detect an enemy plane is $p =0.65$

Gnerally the probability that an enemy plane flying over will be detected by at least one station is mathematically represented as

$P(X \ge 1 ) = 0.98$

=> $P(X \ge 1 ) = 1 - P(X < 1) = 0.98$

=> $P(X = 0) = 1 - 0.98$ Note $P(X < 1) = P(X = 0)$

=> $P(X = 0) = 1 - 0.98$

=> $P(X = 0) = 0.02$

Generally from binomial probability distribution function

$P(X = 0) = ^nC_0 * p^(0) * (1- p)^(n- 0)$

Here C represents combination hence we will be making use of of combination functionality in our calculators

Generally any number combination 0 is 1

$P(X = 1) = 1 * 1* (1- 0.65)^(n- 0) = 0.02$

=> $(1- 0.65)^(n- 1) = 0.02$

taking log of both sides

$log [(0.35)^(n- 1) ] = log (0.02)$

=> ${n- 1}log[0.35] = -1.699$

=> ${n- 1}* -0.4559 = -1.699$

=> $n= 3.7264 + 1$

=> $n= 4.7264$

=> $n \approx 4$

Gnerally the expected number of stations that will detect an enemy plane is

$E(X) = 7 * 0.65$

=> $E(X) \approx4.5$

11. Number Sense Jamal saysthat the sum

of 183 + 198 is less than 300. Is

Jamal's

answer reasonable? Why or

why not

Both addends are

des to 200.

Answers

Answer:

Jamal's answer isn't reasonable because the sum of 183 and 198 is 381, which is way more than 300 and nowhere less than 300.

Step-by-step explanation:

Jamal makes an assertion that the sum of 183 and 198 is less than 300.

We are to check if Jamal's answer is reasonable or not.

183 + 198 = 381 > 300

The sum of the two numbers, 381, is evidently not less than 300, hence, Jamal's answer isn't reasonable because it is downright wrong.

Hope this Helps!!!

Consider the following functions. f(x) = x − 3, g(x) = x2 Find (f + g)(x). Find the domain of (f + g)(x). (Enter your answer using interval notation.) Find (f − g)(x). Find the domain of (f − g)(x). (Enter your answer using interval notation.) Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find f g (x). Find the domain of f g (x). (Enter your answer using interval notation.)

Answers

Answer:

$(f+g)(x)=x-3+x^2$ ; Domain = (-∞, ∞)

$(f-g)(x)=x-3-x^2$ ; Domain = (-∞, ∞)

$(fg)(x)=x^3-3x^2$ ; Domain = (-∞, ∞)

$((f)/(g))(x)=(x-3)/(x^2)$ ; Domain = (-∞,0)∪(0, ∞)

Step-by-step explanation:

The given functions are

$f(x)=x-3$

$g(x)=x^2$

$(f+g)(x)=f(x)+g(x)$

Substitute the values of the given functions.

$(f+g)(x)=(x-3)+x^2$

$(f+g)(x)=x-3+x^2$

The function $(f+g)(x)=x-3+x^2$ is a polynomial which is defined for all real values x.

Domain of (f+g)(x) = (-∞, ∞)

$(f-g)(x)=f(x)-g(x)$

Substitute the values of the given functions.

$(f-g)(x)=(x-3)-x^2$

$(f-g)(x)=x-3-x^2$

The function $(f-g)(x)=x-3-x^2$ is a polynomial which is defined for all real values x.

Domain of (f-g)(x) = (-∞, ∞)

$(fg)(x)=f(x)g(x)$

Substitute the values of the given functions.

$(fg)(x)=(x-3)x^2$

$(fg)(x)=x^3-3x^2$

The function $(fg)(x)=x^3-3x^2$ is a polynomial which is defined for all real values x.

Domain of (fg)(x) = (-∞, ∞)

$((f)/(g))(x)=(f(x))/(g(x))$

Substitute the values of the given functions.

$((f)/(g))(x)=(x-3)/(x^2)$

The function $((f)/(g))(x)=(x-3)/(x^2)$ is a rational function which is defined for all real values x except 0.

Domain of (f/g)(x) = (-∞,0)∪(0, ∞)

$(f + g)(x) = x^2 + x - 3$ , domain: all real numbers.

$(f - g)(x) = -x^2 + x - 3$ , domain: all real numbers.

$(fg)(x) = x^3 - 3x^2$ , domain: all real numbers.

$f(g(x)) = x^2 - 3$ , domain: all real numbers.

To find (f + g)(x), we need to add the functions f(x) and g(x).

The function f(x) = x - 3 and the function $g(x) = x^2.$

So, $(f + g)(x) = f(x) + g(x) = (x - 3) + (x^2).$

Expanding this equation, we get $(f + g)(x) = x^2 + x - 3.$

To find the domain of (f + g)(x), we need to consider the domain of the individual functions f(x) and g(x).

Since both f(x) = x - 3 and $g(x) = x^2$ are defined for all real numbers, the domain of (f + g)(x) is also all real numbers.

To find (f - g)(x), we need to subtract the function g(x) from f(x).

So, $(f - g)(x) = f(x) - g(x) = (x - 3) - (x^2).$

Expanding this equation, we get $(f - g)(x) = -x^2 + x - 3.$

The domain of (f - g)(x) is also all real numbers, since both f(x) and g(x) are defined for all real numbers.

To find (fg)(x), we need to multiply the functions f(x) and g(x).

So, $(fg)(x) = f(x) * g(x) = (x - 3) * (x^2).$

Expanding this equation, we get $(fg)(x) = x^3 - 3x^2.$

The domain of (fg)(x) is all real numbers, since both f(x) and g(x) are defined for all real numbers.

To find f(g(x)), we need to substitute g(x) into the function f(x).

So, $f(g(x)) = f(x^2) = x^2 - 3.$

The domain of f(g(x)) is also all real numbers, as $g(x) = x^2$ is defined for all real numbers, and f(x) = x - 3 is defined for all real numbers.

In summary:

- $(f + g)(x) = x^2 + x - 3$ , domain: all real numbers.

- $(f - g)(x) = -x^2 + x - 3$ , domain: all real numbers.

- $(fg)(x) = x^3 - 3x^2$ , domain: all real numbers.

- $f(g(x)) = x^2 - 3$ , domain: all real numbers.

To Learn more about real numbers here:

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There are several different types of charts and graphs. Each type of chart and graph has required elements. What required elements should be present on a bar chart for it to be complete and accurate? A. An appropriate title
B. The horizontal axis should be labeled
C.The vertical axis should be labeled
D.All of the above
E.None of the above.

Answers

The correct answer is D. All of the above

Explanation:

A bar chart is a type of graph that presents information by using bars; these bars show the relationship between two factors or variables presented in the Y or vertical axis and the X or horizontal axis. For example, you might present the time 5 students spend doing homework by including the hours on the Y-axis and the name of each student on the X-axis.

In this context, for the reader to understand the information presented in the graph it is essential that each of the axes is labeled, in this way the reader will know which variables or factors are represented. Also, in most cases, you will an appropriate title that introduces the general situation that is presented. Thus, for a bar chart to be accurate you will need all of the above.

Trapezoid W X Y Z is rotated about point A 180 degrees clockwise to form trapezoid W prime X prime Y prime Z prime. Trapezoid W prime X prime Y prime Z prime is reflected across the line of reflection m to form trapezoid W double-prime X double-prime Y double-prime Z double-prime.Analyze the diagram. What is the composition of transformations that was applied to map WXYZ to W''X''Y''Z''?

The first transformation was a

.

The second transformation was a

Answers

The first transformation was a rotation about point A.

The second transformation was a reflection across line M.

What is a rotation?

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By critically observing the diagram which illustrates the sequence of transformations, we can logically deduce that the first transformation was a clockwise rotation about point A by 180 degrees.

Furthermore, the second transformation that maps W'X'Y'Z' to W''X''Y''Z'' is a reflection across the line of reflection M.

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Please help me I beg!

A sample survey contacted an SRS of 2854 registered voters shortly before the 2012 presidential election and asked respondents whom they planned to vote for. Election results show that 51% of registered voters voted for Barack Obama. We will see later that in this situation the proportion of the sample who planned to vote for Barack Obama (call this proportion V) has approximately the Normal distribution with mean μ 0.52 and standard deviation σ = 0.009. (a) If the respondents answer truthfully, what is P (0.5くV < 0.54)? This is the probability that the sample proportion v estimates the population proportion 0.52 within plus or minus 0.02. P (0.5<= V <=0.54) (±0.0001)= (b) In fact, 50% of the respondents said they planned to vote for Barack Obama V = 0.5. If respondents answer truthfully, What is P(V <=0.5)? P (V <=0.5) (±0.0001) =