I will send a picture of the equations because if I type it here it won't make sense.

The probability of dialling one number of phones keypad and it being a number greater or equal to 0 is 100% as there is no smaller number than 0 in the keypad.

Probability is defined as the ratio of favorable outcomes to all possible outcomes of an event. The proportion of positive outcomes, or x, for an experiment with 'n' outcomes can be expressed. The following formula can be used to determine the likelihood of an event.

Probability (Event) = Positive Outcomes/Total Outcomes = x/n

Let's say that we need to make a rain prediction. Both "Yes" and "No" are acceptable responses to this query. Both rain and no rain are possible outcomes. Probability can be used in this case. When throwing coins, rolling dice, or drawing a card from a deck of cards, the results are predicted using probability.

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The expression in its simplest form cannot be simplified or factorized any further.

From the options given, answer option A, which is

Cannot be factored any further.

This expression is in its simplest form.

The others, that is options B, C and D can be simplified further.

The answer is option A

The equation of the line is y = (1/5)x - 8/5, the slope of the line is 1/5 and the y intercept is -8/5

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

The  perpendicular line equation is

y = -5x-8

The slope of the perpendicular line = -5

The slope of the main line = -(1/-5)

= 1/5

The line is passing through the point (-2,2)

y = mx + b

-2 = (1/5)(-2) + b

-2 = -2/5 +b

-2 +2/5 = b

b = -8/5

The equation of the line

y = (1/5)x - 8/5

Hence, the equation of the line is y = (1/5)x - 8/5, the slope of the line is 1/5 and the y intercept is -8/5

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Given:

To state the domain of this using interval notation, means to find the values which x may assume for the function above.

We have:

Since there is a root, let's exclude any real number that leads to a negative number.

Here, let's solve for x by setting the radicand to be greater than or equal to zero.

x + 1 ≥ 0

x ≥ 0 -1

x ≥ -1

Therefore, the domain function using notation function will be:

(-1, ∞)

ANSWER:

(-1, ∞)

Given:

The objective is to find the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against.

Explanation:

The required probability can be calculated as,

Here, P(A) represents the probability of faculty member in favor of the change, P(B) represents the probability of student who has an opinion either for or against.

The probability of faculty member in favor of the change can be calculated as, T

The probability of student who has an opinion either for or against can be calculated as,

Since, it is mutually exclusive events,

To find P(A or B):

On plugging the equations (2), (3) and (4) in equation (1),

Hence, the probability that a randomly selected person is either a faculty member in favor of the change or a student who has an opinion either for or against is 151/217.

Given data:

Total number of paperweights that needs to be packed in boxes = 1,150

Each box will hold paperweights = 12

Boxes will be needed to hold all the paperweights ,

Boxes = Total number of paperweights / Each box will hold paperweight

= 1,150 / 12

= 95.833

= 96

Thus, the boxes needed to hold all the souvenir paperweights is 96.

Solution.

Given that the fabric sample is in a shape of a circle

The answer is 221.558 ft^2

Given:

Conditional statement x is even, then x + 1 is odd.

Required:

What is the converse of the conditional statement?

Explanation:

The converse statement of a conditional statement "If p then q" is given by "If q then p".

Then, the converse statement of the given conditional statement will be :

If x is odd then x+1 is even.

Answer:

If x is odd then x+1 is even.

The expression ab means that a is multiplying b.

Substituting with a = 2/7 and b = 2/5 into the expression we get:

The equation of the polynomial is P(x) = -(x - 1)²(x + 5)(x - 4)

The given parameters are

The equation of the polynomial can be calculated as

P(x) = a * (x - zero)^ multiplicity

So, we have

P(x) = a * (x - 1)² * (x + 5) * (x - 4)

This gives

P(x) = a * (x - 1)²(x + 5)(x - 4)

From the question, we have

y-intercept = 20

This means that

P(0) = 20

So, we have

20 = a * (0 - 1)²(0 + 5)(0 - 4)

Evaluate products

20 = a * -20

Divide

a = -1

Substitute a = -1 in P(x) = a * (x - 1)²(x + 5)(x - 4)

P(x) = -(x - 1)²(x + 5)(x - 4)

Hence, the equation is P(x) = -(x - 1)²(x + 5)(x - 4)

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Option A

A large naturally occurring community of flora and fauna occupying a major habitat, e.g. forest or tundra. A biome is a large area characterized by its vegetation, soil, climate, and wildlife.

volume V = 32 cm³ and radius r = 4 cm.The height is 6 cm tall.

The cone's height is determined using the cone height formula. Using cone height formulae, the cone's height is given as h = 3V/r 2.

What is the explanation:

Given,

Cone volume = V = 32 cm3

Cone radius = r = 4 cm

Cone height h=

Having said that,

Cone volume =  [tex]\pi rx^{2} h/3[/tex]

Assigning values

[tex]32\pi =\pi (4)x^{2} h/3[/tex]

[tex]32\pi =16\pi h/3[/tex]

16 divided by both sides.

[tex]32\pi /16\pi =16\pi /16\pi *h/3[/tex]

[tex]2=h/3[/tex]

[tex]h/3=2[/tex]

Adding 3 to both sides

[tex]3*h/3=*3[/tex]

h=6

The heiht is 6 cm .

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A "Bisector" in Geometry is a line that divides a line into two different or equal parts. It is used on line segments and angles.

The Value of X  = angle BCF =90-45 =45.

Angle BCD = 90

angle FCD = 45

The Value of X  = angle BCF =90-45 =45.

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Answer:

the answer is 4n

Step-by-step explanation:

20/5 is equal to 4 so if u multiply 5m*4n=20mn

Answer:

4x + 12

Explanation:

The perimeter of a rectangle can be calculated as two times the length plus two times the width. So, the perimeter is:

Perimeter = 2(x + 2) + 2(x + 4)

Applying distributive property, we get:

Perimeter = 2*x + 2*2 + 2*x + 2*4

Perimeter = 2x + 4 + 2x + 8

perimeter = 4x + 12

Therefore, the perimeter is 4x + 12

Answer:

C

Step-by-step explanation:

Answer:

are made of cells

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

It rained 2 out of the last 12 days in March. If this trend continues,

how many rainy days would you expect in April?

Step 2:

Recall that there are 30 days in the month of April, and for us to have a definite proportion, we need to do the following:

we cross-multiply and we have that:

CONCLUSION:

It is expected to rain for a given period of 5 days in the month of April.

The area of a triangle is given by:

Where:

b = base = 18 m

h = height = 20 m

Then, substitute the values:

Answer: 180 m^2

The total cost of the television with sales tax included is $ 845.81

What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100

Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81

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The length s of an arc enclosed by an angle θ (in degrees) in a circle with radius r is:

Replace θ=67º and r=13cm:

Therefore, the correct choice is option C) 15.2cm.

Using the above property,

Probability is calculated as follows:

In a standard deck of cards, there are 13 hearts and a total of 52 cards. Then, the probability of picking a heart is:

To find how many times she should expect to pick a heart, we have to multiply the number of times the event is repeated (60) by the probability of picking a heart, that is,

She should expect to pick a heart 15 times

The solution to the indicated operation will be 9 and 2/3.

We have to find the sum of 2 and 1/6 and 7 and 3/6.

We can write the mixed fractions as:-

2 and 1/6 = 13/6

7 and 3/6 = 45/6

Adding the improper fractions, we get,

(13+45)/6 = 58/6 = 29/3

We can this improper fraction write it as :-

9 and 2/3

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

2 and (1/7), where 2 is a whole number and 1/7 is a fraction.

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The drawn bedroom ookis like this

as this is drawn to scale, to find the area of the real bedroom we should find the lengths of the real bedroom first. We are told that every 2cm represent 5m. So, we will define our scaling factor as

as every 2 cm represent 5m. Now, to calculate the real lengths, we simply take the scaled lengths and multiply it by the scaling factor. So we have s

so the real bedroom looks like this

which is a rectangl of height 210m and base 5m. Recalling tha the area of a rectangle is the product of it s height and its base, we have that the area of this rectangle would be

1) Examining the expressions, let's factorize them taking the LCM out of the parentheses

5a +10 The LCM 5,10 is 5

5(a +2)

16k +12 The LCM 16, 12 is 4

4(4k +3)

2) So the answers are 5(a +2) and 4(4k +3) notice that if we distribute those factors you'll get the initial form.

Given:

Data is given as below

16 ; 17 ; 19 ; 20 ; 20 ; 21 ; 23 ; 24 ; 25 ; 25 ; 25 ; 26 ; 26 ; 26 ; 27 ; 27 ; 28 ; 29 ; 29 ; 32 ; 33 ; 33 ; 34 ; 35 ; 37 ; 39 ; 43

Find:

we have to find Mean, Median and Mode of the given data.

Explanation:

(a) Mean is 27.37

(b) Median is 26

(c) Mode is 25 ; 26

Answer:

A line segment AE is part of a line that goes from A to E, so we can make a line m such that it contains line segment AE as follows

Line segment AE is the red part of the line that goes from A to E.

Answer:

2.87secs

Explanation:

Given the expression for calculating the height reached by the ball expressed as;

The ball will hit the ground when h(t) = 0.

Substituting into the expression given;

Factorize the resulting equation and find the value of t

This means that it will take 2.87secs for the ball to hit the ground

H0 : p0 = 0.12

H1 : p0 ≠ 0.12

Sample size, n = 600 ; α = 0.05

Zstatistic < Zcritical ; reject H0

P = 95/600 = 0.16

Zstatistic = (p - p0) ÷ sqrt((p0(1 - p0)) /n)

Zstatistic = (0.16 - 0-12)/ sqrt((0.12(0.88))/600)

Zstatistic = 3.01

Zcritical at 0.05, = - 1.96

Zstatistic > Zcritical

Given:-

water level rises 11 centimeters every 6 minutes.

To find:-

The y value at the point (18,y).

Considor the time as x axis and the water level as y axis. so we get an graph as,

Now to find the value at the point (18,y). we extend the graph,

So the value of y is 33.

This is our required answer.