factorisé x2 + 14x +49

The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:

a) Zero: 0.2536 = 25.36%.

b) More than 1: 0.3461 = 34.61%.

c) Between one and three: 0.7331 = 73.31%.

d) Two or fewer: 0.9068 = 90.68%.

e) Five: 0.0008 = 0.08%.

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The values of these parameters for this problem are given as follows:

p = 0.24, n = 5.

Hence the probability for each outcome in the distribution is given as follows:

Hence the missing probabilities are given as follows:

b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.

c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.

d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.

The probability that a person has hypertension is given as follows:

p = 0.24.

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Answer:

10 hrs 35 min

Step-by-step explanation:

ohh yeahh which show tell me in comment lol

btw it would take u total

621 minutes to complete the show

which meaning 10 hrs and 35 min

and if you touch the grass then it would take few hours more

search in to find answer

Answer: Yes.

Step-by-step explanation: They are in 1:4::1:4

Hope this helps

Answer:

Step-by-step explanation:

Are The Numbers 16,64,18 and 72 In Proportion​?

16 : 64 = 18 : 72

0.25 = 0.25

or

1/4 = 1/4

so your answer is yes

Answer:

53/75

Step-by-step explanation:

15 = 3 × 5

25 = 5²

PPCM = 3 × 5² = 75

75/15 = 5

75/25 = 3

7/15 + 6/25 =

= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)

= 35/75 + 18/75

= 53/75

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

The number is said to be in its simplest form when divided into its smallest equivalent fraction. What should be done to find the most basic form. Look for common factors in the numerator and denominator. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two collinear and an equal marker in the middle is called an equation in mathematics. The general form of any equation contains the degrees of all the variables in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar).  An identity holds true regardless of the value given to the variables.

given

Equation as given:

y = 6 (x - 1/2)(x+3)

To identify the equation's graph's y-intercept

Put x = 0 in place of it in the equation.

y = 6 (0 - 1/2)(0+3)

Apply the math operation, then find y.

y = -9

As a result, the graph of the equation y=(x-2)2 in the xy plane has the y-intercept of y = -9.

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The given statement “if the slope of a line is 3, then the slope of a parallel line is 4” is false because parallel lines have equal slopes

From the question, we have the following parameters that can be used in our computation:

Slope of a line = 3

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 3

The slopes of parallel lines are equal

This means that the slope of the other line is 3

Hence, the statement is false

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Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

The given drug experiment is an example of observation.

There are three major types of statistical studies :

Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.

Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.

Therefore, the given drug experiment is an example of observation.

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Answer:

0.16 or 0.2 if rounded

Step-by-step explanation:

4 gallons divided by 25 chairs equals 0.16 gallons for each chair

hope this helps <3

The sum of the given two expressions -7g and 4g+2 is -3g+2.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.

There are mainly 3 types of algebraic expressions which are:

The sum of given expressions , -7g and 4g+2 can be performed as follows:

   -7g + (4g + 2)

=  (-7+4)g + 2

= -3g + 2

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The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

An equation is an expression that shows the relationship between two or more variables and numbers.

Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:

x = [(-7) + (-3)] / 2 = -5

y = [(-2) + (-5)] / 2 = -3.5

Therefore the coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

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Answer: Let n be the number of members in the Science Club.

On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.

On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.

So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.

The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.

This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.

It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.

Step-by-step explanation:

Answer:

(n x 27)+155

Step-by-step explanation:

15 +12 = 27

Each member pays $27 for the tickets so we multiply it by the number of members.

95 + 60 = 155

The members pay $155 in total for transportation.

[tex]9x-5=3x+7[/tex]

Subtract 3x from both sides:

[tex]9x-5-3x=3x+7-3x[/tex]

[tex]6x-5=7[/tex]

Add 5 to both sides:

[tex]6x-5+5=7+5[/tex]

[tex]6x=12[/tex]

Divide both sides by 6:

[tex]\dfrac{6x}{6} =\dfrac{12}{6}[/tex]

[tex]\fbox{x = 2}[/tex]

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

Then the value of x will be,

[tex] \sf \rightarrow \: 9x - 5 = 3x + 7[/tex]

[tex] \sf \rightarrow \: 9x - 3x = 7 + 5[/tex]

[tex] \sf \rightarrow \: 6x = 12[/tex]

[tex] \sf \rightarrow \: x = \frac{12}{6} [/tex]

[tex] \sf \rightarrow \: x = 2[/tex]

Hence, the value of x is 2.

The radius of the circle with a circumference of 24π is 12 inches.

An equation shows how two or more numbers and variables are related to each other.

The circumference of a circle is the measure of the arc of the circle. It is given by:

Circumference (C) = 2π * radius

Given that the circumference is 24π, hence:

24π = 2π(radius)

Radius = 12 inches

The radius of the circle is 12 inches.

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The error in the work lies in line 3 where the square root is calculated inaccurately.

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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The numbers which have only two factors either 1 and the number itself are called prime numbers.

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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Answer:

3.5 miles per hours

Step-by-step explanation:

7/2 =3.5

The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property

From the question, we have the following parameters that can be used in our computation:

3 x (5 + 1) = (3 x 5) + (3x1)

The distributive property of algebra states that

x * (a + b) = x * a + x * b

This means that

x = 3

a = 5 and b = 1

By comparison, we can conclude that the property is the distributive property

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Answer:  19/400

Step-by-step explanation:

4.75% = 4.75/100 (in fractions)

          = 475/10000 (multiply by 100 for both the numerator and denominator)

           = 19 / 400 (divide by 25 for both the numerator and denominator)

How do I know it is 25 for the last step?

Obtain the highest common factor of 475 and 10000. The highest common factor of these two numbers is 25.

Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.

Answer: true

Step-by-step explanation:

Answer:

Step-by-step explanation:

33

On solving the provided question, we can say that F= The lifting force is 27135 0.003357*250*180*180 = F=27135, surface area

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

The entire surface of a three-dimensional shape is referred to as its surface area. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. Alternatively, you can label the cuboid's length, width, and height (l, w, and h), then calculate its surface area (SA) using the formula: SA=2lw+2lh+2hw.

F= k*a*v^2

a= 250

v=190

30300=k*250*{190^2}

k= 0.03357

F= 0.003357*250*180*180

F=27135

The lifting force is 27135

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Joey needs to score more than 540 points, to be higher than

70th percentile of all scores.

Percentile is defined as the value below which a given percentage falls under.  

Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.

The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.

Given,

Scores of first 9 players:

230, 540, 420, 430, 540, 560, 275, 50, 250

let the score of joey be x.

Scores of all 10 players

230, 540, 420, 430, 540, 560, 275, 50, 250

Dataset in ascending order =

50, 230, 250, 275, 420, 430, 540, 540, 560

70th percentile of the dataset

k = 70

i = the index

n = total number of given data values = 10

i = k/100(n+1)

i = 70/100 (9+1)

i = 70 × 10/100

i = 7

The index of 70th percentile = 7

value of 70th percentile = value of data on index 7.

value of 70th percentile = 540.

Hence, To be higher than 70th percentile of all scores,

Joey should score more than 540.

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Janine currently spends about $150.11 on bottled water every year.The total sum of the cost for the pitcher filter is $42. The sink filter costs $130

The first step in finding how much money Janine will save is to calculate how much water Janine drinks and how much bottled water costs her in one year.

The next step in this problem is to calculate the cost of each water filter in the first year. To find this, add the cost of the reusable water bottle, the cost of the filter, and the cost of any additional filters needed.

Lastly the question asks you to pro-rate the cost of each filter

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