Question 8 options:
4x-3

x=2

4(2)-3

The

property is used here.

By applying probability method in a Poisson distribution, we find out that the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512 and the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

It is given that -

On an average, Eastern United States is hit by 6 hurricanes in a year.

We have to find out -

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

This is a case of probability which relates to Poisson distribution that provides probability of any random event that occurs within a specific time interval.

Let us assume the number of hurricanes is represented by [tex]X[/tex]. The Poisson distribution can be represented as -

[tex]P(X) = \frac{(lambda)^{X}*e^{-lambda}}{X!}[/tex] -------(1)

​Here, [tex]X\\[/tex] = 1,2,3,...

lambda = Average = 6 (in this question)

[tex]e[/tex] = 2.718

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

[tex]P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)\\= \frac{6^{0}*e^{-6}}{0!}+\frac{6^{1}*e^{-6}}{1!}+\frac{6^{2}*e^{-6}}{2!}+\frac{6^{3}*e^{-6}}{3!}\\=0.0025+0.0149+0.0446+0.0892\\=0.1512[/tex]

Thus, the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512.

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

[tex]P(6\leq X\leq 8)=P(X=6)+P(X=7)+P(X=8)\\=\frac{6^{6}*e^{-6} }{6!}+\frac{6^{7}*e^{-6} }{7!}+\frac{6^{8}*e^{-6} }{8!}\\=0.1606+0.1376+0.1033\\=0.4015[/tex]

Thus, the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

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In linear equation, 864 is distance the flowerbed from the hive .

What are a definition and an example of a linear equation?

a) The equation is so called "time equation"

      D%2F12 + 16*60 + D%2F8 = 19*60 seconds

(b) To determine the distance D, solve the equation

D%2F12 + D%2F8 = 19*60 - 16*60 = 3*60,

multiply both sides by 24

2D + 3D = 3*60*24

5D = 4320

D = 4320/5 = 864

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Answer:

find search bar

Step-by-step explanation:

see answer

Answer:

5/8

Step-by-step explanation:

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

Answer:

106 seconds

Step-by-step explanation:

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

The use the numbers 5, 6, and 7 and the operations of addition, subtraction, multiplication, and/or division to create three different number expressions with three different values will be:

1. 5 × 6 + 7 = 37

2. 5 + 6 - 7 = 4

3. 5 + 6 + 7 = 18

Addition simply means the sum of the numbers that are given. It should be noted that addition is represented by the sign +.

In this case, we are told to use 5, 6 and 7 to create different values. These are represented above. The addition of 5, 6, and 7 gives 18.

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The researcher makes use of stratified sampling method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of probability sampling method where the total population is segmented into homogenous groups to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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Answer:

The answer is d

Step-by-step explanation:

2/11 has a numerator of 2 but cant be reduced

Answer:

Step-by-step explanation:

I misunderstood the question. So, please disregard this answer. Thank you.

The graph of the defined piece-wise function is sketched at the end of the answer.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

In the context of this problem, the function has three definitions, as follows:

For the first definition, to the left of x = -3, the function assumes a constant value of 3, hence it is an horizontal line at y = 3.

For the second definition, between x = -3 and x = 4, the function is a increasing linear function, with intercept 1 and slope 2, due to the rule y = 2x + 1.

For the third definition, to the right of x = 4, the function assumes a constant value of -2, hence it is an horizontal line at y = -2.

With each of these definitions, the graph of the function is given at the end of the answer.

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The fact that Maria runs of a mile every 8 minutes means that we runs faster.

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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Answer: 1.33

Step-by-step explanation:

0.8 divided by 0.6= 1.33333333333

3 is in the hundredths place and 3 is in the thousandths place.

Since the digit in the thousandths place (3) is less than 5, the digit in the hundredths place (3) does not change.

The digits to the right of the hundredths place are dropped.

1.33333333 rounded to the nearest hundredth (two decimal places) = 1.33.

The amount of insurance that Travis will have to pay for the year is of:

$47.3.

He is renting the apartment, in which the belongings are worth $11,000, hence the insurance will be paid over that amount.

The number of hundredths in $11,000 is given by:

11000/100 = 110.

He pays an insurance of $0.43 for each $100 in belongings, hence the total insurance is of:

0.43 x 110 = $47.3.

There is no information regarding the value of the building, hence we are going to consider that he does not pay insurance for the building.

This insurance was taken from the table, as the apartment is in the city (downtown), and all brick, hence the coefficient is of 0.43.

The table with the rates is given by the image at the end of the answer.

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Answer: (B) Multiply by 2

Step-by-step explanation:

For every ounce of flour, 2 cupcakes can be made.

The output of the linear function is -n+3 when the input is n.

A linear equation is given by ,

f(x) = mx+ c   ---(1)

From the table,

x value increases by 1

y value decreases by 1

Substituting slope m = - 1 in (1)

f(x) = -x+ c  ---(2)

Substitute  (1, 2) in (2)

2 = -1 +c

c = 2 + 1

c = 3

Substitute slope m and c in (2)

f( x ) = - x + 3

When input is n output is given by,

f(n) = - n + 3

The output of the linear function is -n+3 when the input is n.

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According to given function the final value is [tex]$f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k}(x+i y)$$[/tex]

[tex]$$f(x+i y)=\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}$$[/tex]

Divide both sides by [tex]$x+i y ; \quad x \neq-i y$[/tex]

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y} ; \quad x \neq-i y$$[/tex]

Simplify

[tex]\frac{f(x+i y)}{x+i y}=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}$$[/tex]

Simplify[tex]$\frac{f(x+i y)}{x+i y}: f$[/tex]

Simplify [tex]$\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}}{x+i y}: \frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2}$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

[tex]f=\frac{\sum_{k=1}^{\infty} \frac{1}{k^{x+i y}}(x-i y)}{x^2+y^2} ; \quad x \neq-i y$$[/tex]

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

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Answer:

7358.84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plot the points, we see it is a rectangle.

Side lengths are:

The perimeter is:

The perimeter of polygon RSTU is

A straight line connects any two places with the smallest distance possible. The distance formula can be used to get this distance. It is possible to define the distance between two positions (x 1, y 1) and (x 2, y 2) as d=√(x2-x1)² + (y2 - y1)².

Distance between R and S is;

√(2+4)² + (2 - 2)²= 6 units

Distance between S and T is;

√(2-2)² + (-2 - 2)²= 4 units

Distance between T and U is;

√(-4+-2)² + (2 - 2)²= 6 units

Distance between T and U is;

√(-4+4)² + (2 + 2)²= 4 units

The total perimeter is of polygon is:

6+4+6+4 = 20 units

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Answer: A) x^2+y^2 B) x^3+y^3 C) a^2b^2c^2 D) c^2/d^2

Step-by-step explanation:

For A, you add all the powers. This is because the bases are the same. Any number or letter without a visible power on top most likely means that is has a power of 1. Because this is a multiplication question, you have to add the powers. (Example n*n = n^2 or n^3*n^7 = n^10)

This is same for B.

For C, you multiply abc by abc so it's a*a, b*b, c*c. This is because they are inside a bracket. Anything inside the bracket that has a power outside the bracket is multiplied by itself.

For D, you multiply c and d so it's c*c, d*d. This is the same as C.

Answer:

x=16

Step-by-step explanation:

x/2 = 8

Multiply both sides by 2

x=16

:] Hope this helps

the answer would be x=16

you would multiply both sides by 2

Answer:

1/4

Step-by-step explanation:

Hope this helps!

The system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased is b + s = 9 and 10s + 12s = 100

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the small box be represented as s.

Let the big box be represented as b.

Each small box has 10 granola bars and each large box has 12 granola bars. The The camp bought a total of 9 boxes that have 100 granola bars altogether.

The equation will be:

b + s = 9

10s + 12s = 100

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Answer:

​10x + 12y = 100

x + y = 9

Step-by-step explanation:

Define Variables:

Let x = the number of small boxes purchased

Let y = the number of large boxes purchased

Each small box has 10 granola bars, so small boxes have 10x granola bars.

Each large box has 12 granola bars, so large boxes have 12y granola bars. Therefore, the total number of granola bars 10x + 12y equals 100:

10x + 12y = 100

Since a total of 9 boxes were purchased, we know x + y must equal 9.

x + y = 9

The three statement true about the the distance of a dog from a post are-

For the given graph in the question,

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

The time is denotes on the x axis and the distance covered by the dog on the y axis.

This can be described using the function as.

f(t) = d

Consider values from graph.

When, t = 0, d = 1.5 feet

Function notation ; f(0) = 1.5    ......statement 1

When t = 60, d = 4 feet

Function notation ; f(60) = 4   ......statement 2

Now, the maximum value is 5.

Thus, f(t) < 5    .....statement 3

Therefore, the three statement are formed.

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The correct question is -

Write three statement that are true about this situation. Use function notations.

Function f gives the distance of a dog from a post, in feet, as a function of time, t in seconds, since its owner left.

Use the = sign in at least one statement and < sign in another statement.

Answer:

the answer is 2

At least 84 blue marbles and 7 red marbles are there in the bag.

Let the bag contain x red marbles therefore there are 12x blue marbles.

Therefore according to the question,

12x + x = 100

13x = 100

= 100/13

=7.69 approx

Which is not possible as the no,of marbles cannot be in decimals therefore there must be atleast 7 marbles of red colour and 84 blue marbles.

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The computed value of the test statistic is 4.65 or 4.7

Information given in the query:

significance level = 0.05

Sample size is 41 observations, and the correlation value is 0.60.

Now,

Using the formula, the test statistic to determine whether the population correlation is zero is provided.

:

t =[tex]r\sqrt{n-2} /\sqrt{1-r^{2} }[/tex]

on substituting the respective values, we get

test statics , t = 4.65

or

t=4.7

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The law of mathematical logic that was used to derive the given conclusion is; Law of Syllogism

The law of syllogism is defined as a type of logical argument using deductive reasoning.

Now, In mathematical logic, the Law of Syllogism states that if the following two statements are true:

(1) If a , then b .

(2) If b , then c .

Then we can derive a third true statement:

(3) If a , then c .

Now, applying that law to our question, we see that;

1) If I'm a student, then I go to school.

2) If I go to school, then I learn.

Then we can derive a third true statement:

3)  If I'm a student, then I learn.

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Given:

The function

Required:

Find the equation of the tangent at f(x) at x=0.

Explanation:

The slope of f(x),

Now, the slope of function at x = 0 is f'(x) = 2.

The line with slope m = 2 and passing through (0, 0).

Answer:

Equation of tangent of the function at x = 0, f(x) = 2x.

Answer:

1 / 121

Step-by-step explanation:

4^0 / 11^2

= 1 / 11^2

= 1 / 121

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

Therefore the right answer is an improper fraction